%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG109+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n026.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:11:09 AM UTC 2026
% Result : Theorem 3.59s 1.18s
% Output : Refutation 4.06s
% Verified :
% SZS Type : Refutation
% Derivation depth : 46
% Number of leaves : 381
% Syntax : Number of formulae : 2607 ( 164 unt; 365 def)
% Number of atoms : 10375 (4839 equ)
% Maximal formula atoms : 304 ( 3 avg)
% Number of connectives : 13269 (5501 ~;5615 |;1890 &)
% ( 263 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 367 ( 365 usr; 366 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(f6,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e10) != e11
& op1(e12,e10) != e12
& op1(e13,e10) != e13 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e10) != e11
& op1(e12,e10) != e12
& op1(e13,e10) != e13 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e10) != e11
& op1(e12,e10) != e12
& op1(e13,e10) != e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e10) != e11
& op1(e12,e10) != e12
& op1(e13,e10) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e11) != e10
& op1(e11,e11) != e11
& op1(e12,e11) != e12
& op1(e13,e11) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e10,e11) != e10
& op1(e11,e11) != e11
& op1(e12,e11) != e12
& op1(e13,e11) != e13 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e10,e11) != e10
& op1(e11,e11) != e11
& op1(e12,e11) != e12
& op1(e13,e11) != e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e11) != e10
& op1(e11,e11) != e11
& op1(e12,e11) != e12
& op1(e13,e11) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e12) != e10
& op1(e11,e12) != e11
& op1(e12,e12) != e12
& op1(e13,e12) != e13 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e12) != e10
& op1(e11,e12) != e11
& op1(e12,e12) != e12
& op1(e13,e12) != e13 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e10,e12) != e10
& op1(e11,e12) != e11
& op1(e12,e12) != e12
& op1(e13,e12) != e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e10,e12) != e10
& op1(e11,e12) != e11
& op1(e12,e12) != e12
& op1(e13,e12) != e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e13) != e10
& op1(e11,e13) != e11
& op1(e12,e13) != e12
& op1(e13,e13) != e13 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e10,e13) != e10
& op1(e11,e13) != e11
& op1(e12,e13) != e12
& op1(e13,e13) != e13 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e10,e13) != e10
& op1(e11,e13) != e11
& op1(e12,e13) != e12
& op1(e13,e13) != e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e10,e13) != e10
& op1(e11,e13) != e11
& op1(e12,e13) != e12
& op1(e13,e13) != e13 ) )
& ( ( op1(e10,e10) = op1(e10,e10)
& op1(e10,e10) != op1(e10,e10)
& op1(e10,op1(e10,e10)) = e10 )
| ( op1(e11,e10) = op1(e10,e11)
& op1(e11,e11) != op1(e10,e11)
& op1(e11,op1(e10,e11)) = e11 )
| ( op1(e12,e10) = op1(e10,e12)
& op1(e12,e12) != op1(e10,e12)
& op1(e12,op1(e10,e12)) = e12 )
| ( op1(e13,e10) = op1(e10,e13)
& op1(e13,e13) != op1(e10,e13)
& op1(e13,op1(e10,e13)) = e13 )
| ( op1(e10,e11) = op1(e11,e10)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,op1(e11,e10)) = e10 )
| ( op1(e11,e11) = op1(e11,e11)
& op1(e11,e11) != op1(e11,e11)
& op1(e11,op1(e11,e11)) = e11 )
| ( op1(e12,e11) = op1(e11,e12)
& op1(e12,e12) != op1(e11,e12)
& op1(e12,op1(e11,e12)) = e12 )
| ( op1(e13,e11) = op1(e11,e13)
& op1(e13,e13) != op1(e11,e13)
& op1(e13,op1(e11,e13)) = e13 )
| ( op1(e10,e12) = op1(e12,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,op1(e12,e10)) = e10 )
| ( op1(e11,e12) = op1(e12,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,op1(e12,e11)) = e11 )
| ( op1(e12,e12) = op1(e12,e12)
& op1(e12,e12) != op1(e12,e12)
& op1(e12,op1(e12,e12)) = e12 )
| ( op1(e13,e12) = op1(e12,e13)
& op1(e13,e13) != op1(e12,e13)
& op1(e13,op1(e12,e13)) = e13 )
| ( op1(e10,e13) = op1(e13,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,op1(e13,e10)) = e10 )
| ( op1(e11,e13) = op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,op1(e13,e11)) = e11 )
| ( op1(e12,e13) = op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,op1(e13,e12)) = e12 )
| ( op1(e13,e13) = op1(e13,e13)
& op1(e13,e13) != op1(e13,e13)
& op1(e13,op1(e13,e13)) = e13 ) )
& ( ( op1(e10,e10) = e10
& ~ ( op1(e10,e10) = e10
& ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10 )
| ( op1(e10,e10) = e11
& op1(e10,e10) = e11 )
| ( op1(e10,e10) = e12
& op1(e10,e10) = e12 )
| ( op1(e10,e10) = e13
& op1(e10,e10) = e13 ) ) ) )
| ( op1(e10,e10) = e11
& ~ ( op1(e10,e10) = e11
& ( ( op1(e10,e11) = e10
& op1(e11,e10) = e10 )
| ( op1(e10,e11) = e11
& op1(e11,e10) = e11 )
| ( op1(e10,e11) = e12
& op1(e11,e10) = e12 )
| ( op1(e10,e11) = e13
& op1(e11,e10) = e13 ) ) ) )
| ( op1(e10,e10) = e12
& ~ ( op1(e10,e10) = e12
& ( ( op1(e10,e12) = e10
& op1(e12,e10) = e10 )
| ( op1(e10,e12) = e11
& op1(e12,e10) = e11 )
| ( op1(e10,e12) = e12
& op1(e12,e10) = e12 )
| ( op1(e10,e12) = e13
& op1(e12,e10) = e13 ) ) ) )
| ( op1(e10,e10) = e13
& ~ ( op1(e10,e10) = e13
& ( ( op1(e10,e13) = e10
& op1(e13,e10) = e10 )
| ( op1(e10,e13) = e11
& op1(e13,e10) = e11 )
| ( op1(e10,e13) = e12
& op1(e13,e10) = e12 )
| ( op1(e10,e13) = e13
& op1(e13,e10) = e13 ) ) ) )
| ( op1(e11,e11) = e10
& ~ ( op1(e11,e11) = e10
& ( ( op1(e11,e10) = e10
& op1(e10,e11) = e10 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11 )
| ( op1(e11,e10) = e12
& op1(e10,e11) = e12 )
| ( op1(e11,e10) = e13
& op1(e10,e11) = e13 ) ) ) )
| ( op1(e11,e11) = e11
& ~ ( op1(e11,e11) = e11
& ( ( op1(e11,e11) = e10
& op1(e11,e11) = e10 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11 )
| ( op1(e11,e11) = e12
& op1(e11,e11) = e12 )
| ( op1(e11,e11) = e13
& op1(e11,e11) = e13 ) ) ) )
| ( op1(e11,e11) = e12
& ~ ( op1(e11,e11) = e12
& ( ( op1(e11,e12) = e10
& op1(e12,e11) = e10 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11 )
| ( op1(e11,e12) = e12
& op1(e12,e11) = e12 )
| ( op1(e11,e12) = e13
& op1(e12,e11) = e13 ) ) ) )
| ( op1(e11,e11) = e13
& ~ ( op1(e11,e11) = e13
& ( ( op1(e11,e13) = e10
& op1(e13,e11) = e10 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11 )
| ( op1(e11,e13) = e12
& op1(e13,e11) = e12 )
| ( op1(e11,e13) = e13
& op1(e13,e11) = e13 ) ) ) )
| ( op1(e12,e12) = e10
& ~ ( op1(e12,e12) = e10
& ( ( op1(e12,e10) = e10
& op1(e10,e12) = e10 )
| ( op1(e12,e10) = e11
& op1(e10,e12) = e11 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12 )
| ( op1(e12,e10) = e13
& op1(e10,e12) = e13 ) ) ) )
| ( op1(e12,e12) = e11
& ~ ( op1(e12,e12) = e11
& ( ( op1(e12,e11) = e10
& op1(e11,e12) = e10 )
| ( op1(e12,e11) = e11
& op1(e11,e12) = e11 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12 )
| ( op1(e12,e11) = e13
& op1(e11,e12) = e13 ) ) ) )
| ( op1(e12,e12) = e12
& ~ ( op1(e12,e12) = e12
& ( ( op1(e12,e12) = e10
& op1(e12,e12) = e10 )
| ( op1(e12,e12) = e11
& op1(e12,e12) = e11 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12 )
| ( op1(e12,e12) = e13
& op1(e12,e12) = e13 ) ) ) )
| ( op1(e12,e12) = e13
& ~ ( op1(e12,e12) = e13
& ( ( op1(e12,e13) = e10
& op1(e13,e12) = e10 )
| ( op1(e12,e13) = e11
& op1(e13,e12) = e11 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12 )
| ( op1(e12,e13) = e13
& op1(e13,e12) = e13 ) ) ) )
| ( op1(e13,e13) = e10
& ~ ( op1(e13,e13) = e10
& ( ( op1(e13,e10) = e10
& op1(e10,e13) = e10 )
| ( op1(e13,e10) = e11
& op1(e10,e13) = e11 )
| ( op1(e13,e10) = e12
& op1(e10,e13) = e12 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13 ) ) ) )
| ( op1(e13,e13) = e11
& ~ ( op1(e13,e13) = e11
& ( ( op1(e13,e11) = e10
& op1(e11,e13) = e10 )
| ( op1(e13,e11) = e11
& op1(e11,e13) = e11 )
| ( op1(e13,e11) = e12
& op1(e11,e13) = e12 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13 ) ) ) )
| ( op1(e13,e13) = e12
& ~ ( op1(e13,e13) = e12
& ( ( op1(e13,e12) = e10
& op1(e12,e13) = e10 )
| ( op1(e13,e12) = e11
& op1(e12,e13) = e11 )
| ( op1(e13,e12) = e12
& op1(e12,e13) = e12 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13 ) ) ) )
| ( op1(e13,e13) = e13
& ~ ( op1(e13,e13) = e13
& ( ( op1(e13,e13) = e10
& op1(e13,e13) = e10 )
| ( op1(e13,e13) = e11
& op1(e13,e13) = e11 )
| ( op1(e13,e13) = e12
& op1(e13,e13) = e12 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e20) != e21
& op2(e22,e20) != e22
& op2(e23,e20) != e23 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e20) != e21
& op2(e22,e20) != e22
& op2(e23,e20) != e23 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e20) != e21
& op2(e22,e20) != e22
& op2(e23,e20) != e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e20) != e21
& op2(e22,e20) != e22
& op2(e23,e20) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e21) != e20
& op2(e21,e21) != e21
& op2(e22,e21) != e22
& op2(e23,e21) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e20,e21) != e20
& op2(e21,e21) != e21
& op2(e22,e21) != e22
& op2(e23,e21) != e23 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e20,e21) != e20
& op2(e21,e21) != e21
& op2(e22,e21) != e22
& op2(e23,e21) != e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e21) != e20
& op2(e21,e21) != e21
& op2(e22,e21) != e22
& op2(e23,e21) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e22) != e20
& op2(e21,e22) != e21
& op2(e22,e22) != e22
& op2(e23,e22) != e23 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e22) != e20
& op2(e21,e22) != e21
& op2(e22,e22) != e22
& op2(e23,e22) != e23 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e20,e22) != e20
& op2(e21,e22) != e21
& op2(e22,e22) != e22
& op2(e23,e22) != e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e20,e22) != e20
& op2(e21,e22) != e21
& op2(e22,e22) != e22
& op2(e23,e22) != e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e23) != e20
& op2(e21,e23) != e21
& op2(e22,e23) != e22
& op2(e23,e23) != e23 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e20,e23) != e20
& op2(e21,e23) != e21
& op2(e22,e23) != e22
& op2(e23,e23) != e23 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e20,e23) != e20
& op2(e21,e23) != e21
& op2(e22,e23) != e22
& op2(e23,e23) != e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e20,e23) != e20
& op2(e21,e23) != e21
& op2(e22,e23) != e22
& op2(e23,e23) != e23 ) )
& ( ( op2(e20,e20) = op2(e20,e20)
& op2(e20,e20) != op2(e20,e20)
& op2(e20,op2(e20,e20)) = e20 )
| ( op2(e21,e20) = op2(e20,e21)
& op2(e21,e21) != op2(e20,e21)
& op2(e21,op2(e20,e21)) = e21 )
| ( op2(e22,e20) = op2(e20,e22)
& op2(e22,e22) != op2(e20,e22)
& op2(e22,op2(e20,e22)) = e22 )
| ( op2(e23,e20) = op2(e20,e23)
& op2(e23,e23) != op2(e20,e23)
& op2(e23,op2(e20,e23)) = e23 )
| ( op2(e20,e21) = op2(e21,e20)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,op2(e21,e20)) = e20 )
| ( op2(e21,e21) = op2(e21,e21)
& op2(e21,e21) != op2(e21,e21)
& op2(e21,op2(e21,e21)) = e21 )
| ( op2(e22,e21) = op2(e21,e22)
& op2(e22,e22) != op2(e21,e22)
& op2(e22,op2(e21,e22)) = e22 )
| ( op2(e23,e21) = op2(e21,e23)
& op2(e23,e23) != op2(e21,e23)
& op2(e23,op2(e21,e23)) = e23 )
| ( op2(e20,e22) = op2(e22,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,op2(e22,e20)) = e20 )
| ( op2(e21,e22) = op2(e22,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,op2(e22,e21)) = e21 )
| ( op2(e22,e22) = op2(e22,e22)
& op2(e22,e22) != op2(e22,e22)
& op2(e22,op2(e22,e22)) = e22 )
| ( op2(e23,e22) = op2(e22,e23)
& op2(e23,e23) != op2(e22,e23)
& op2(e23,op2(e22,e23)) = e23 )
| ( op2(e20,e23) = op2(e23,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,op2(e23,e20)) = e20 )
| ( op2(e21,e23) = op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,op2(e23,e21)) = e21 )
| ( op2(e22,e23) = op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,op2(e23,e22)) = e22 )
| ( op2(e23,e23) = op2(e23,e23)
& op2(e23,e23) != op2(e23,e23)
& op2(e23,op2(e23,e23)) = e23 ) )
& ( ( op2(e20,e20) = e20
& ~ ( op2(e20,e20) = e20
& ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20 )
| ( op2(e20,e20) = e21
& op2(e20,e20) = e21 )
| ( op2(e20,e20) = e22
& op2(e20,e20) = e22 )
| ( op2(e20,e20) = e23
& op2(e20,e20) = e23 ) ) ) )
| ( op2(e20,e20) = e21
& ~ ( op2(e20,e20) = e21
& ( ( op2(e20,e21) = e20
& op2(e21,e20) = e20 )
| ( op2(e20,e21) = e21
& op2(e21,e20) = e21 )
| ( op2(e20,e21) = e22
& op2(e21,e20) = e22 )
| ( op2(e20,e21) = e23
& op2(e21,e20) = e23 ) ) ) )
| ( op2(e20,e20) = e22
& ~ ( op2(e20,e20) = e22
& ( ( op2(e20,e22) = e20
& op2(e22,e20) = e20 )
| ( op2(e20,e22) = e21
& op2(e22,e20) = e21 )
| ( op2(e20,e22) = e22
& op2(e22,e20) = e22 )
| ( op2(e20,e22) = e23
& op2(e22,e20) = e23 ) ) ) )
| ( op2(e20,e20) = e23
& ~ ( op2(e20,e20) = e23
& ( ( op2(e20,e23) = e20
& op2(e23,e20) = e20 )
| ( op2(e20,e23) = e21
& op2(e23,e20) = e21 )
| ( op2(e20,e23) = e22
& op2(e23,e20) = e22 )
| ( op2(e20,e23) = e23
& op2(e23,e20) = e23 ) ) ) )
| ( op2(e21,e21) = e20
& ~ ( op2(e21,e21) = e20
& ( ( op2(e21,e20) = e20
& op2(e20,e21) = e20 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21 )
| ( op2(e21,e20) = e22
& op2(e20,e21) = e22 )
| ( op2(e21,e20) = e23
& op2(e20,e21) = e23 ) ) ) )
| ( op2(e21,e21) = e21
& ~ ( op2(e21,e21) = e21
& ( ( op2(e21,e21) = e20
& op2(e21,e21) = e20 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21 )
| ( op2(e21,e21) = e22
& op2(e21,e21) = e22 )
| ( op2(e21,e21) = e23
& op2(e21,e21) = e23 ) ) ) )
| ( op2(e21,e21) = e22
& ~ ( op2(e21,e21) = e22
& ( ( op2(e21,e22) = e20
& op2(e22,e21) = e20 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21 )
| ( op2(e21,e22) = e22
& op2(e22,e21) = e22 )
| ( op2(e21,e22) = e23
& op2(e22,e21) = e23 ) ) ) )
| ( op2(e21,e21) = e23
& ~ ( op2(e21,e21) = e23
& ( ( op2(e21,e23) = e20
& op2(e23,e21) = e20 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21 )
| ( op2(e21,e23) = e22
& op2(e23,e21) = e22 )
| ( op2(e21,e23) = e23
& op2(e23,e21) = e23 ) ) ) )
| ( op2(e22,e22) = e20
& ~ ( op2(e22,e22) = e20
& ( ( op2(e22,e20) = e20
& op2(e20,e22) = e20 )
| ( op2(e22,e20) = e21
& op2(e20,e22) = e21 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22 )
| ( op2(e22,e20) = e23
& op2(e20,e22) = e23 ) ) ) )
| ( op2(e22,e22) = e21
& ~ ( op2(e22,e22) = e21
& ( ( op2(e22,e21) = e20
& op2(e21,e22) = e20 )
| ( op2(e22,e21) = e21
& op2(e21,e22) = e21 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22 )
| ( op2(e22,e21) = e23
& op2(e21,e22) = e23 ) ) ) )
| ( op2(e22,e22) = e22
& ~ ( op2(e22,e22) = e22
& ( ( op2(e22,e22) = e20
& op2(e22,e22) = e20 )
| ( op2(e22,e22) = e21
& op2(e22,e22) = e21 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22 )
| ( op2(e22,e22) = e23
& op2(e22,e22) = e23 ) ) ) )
| ( op2(e22,e22) = e23
& ~ ( op2(e22,e22) = e23
& ( ( op2(e22,e23) = e20
& op2(e23,e22) = e20 )
| ( op2(e22,e23) = e21
& op2(e23,e22) = e21 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22 )
| ( op2(e22,e23) = e23
& op2(e23,e22) = e23 ) ) ) )
| ( op2(e23,e23) = e20
& ~ ( op2(e23,e23) = e20
& ( ( op2(e23,e20) = e20
& op2(e20,e23) = e20 )
| ( op2(e23,e20) = e21
& op2(e20,e23) = e21 )
| ( op2(e23,e20) = e22
& op2(e20,e23) = e22 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23 ) ) ) )
| ( op2(e23,e23) = e21
& ~ ( op2(e23,e23) = e21
& ( ( op2(e23,e21) = e20
& op2(e21,e23) = e20 )
| ( op2(e23,e21) = e21
& op2(e21,e23) = e21 )
| ( op2(e23,e21) = e22
& op2(e21,e23) = e22 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23 ) ) ) )
| ( op2(e23,e23) = e22
& ~ ( op2(e23,e23) = e22
& ( ( op2(e23,e22) = e20
& op2(e22,e23) = e20 )
| ( op2(e23,e22) = e21
& op2(e22,e23) = e21 )
| ( op2(e23,e22) = e22
& op2(e22,e23) = e22 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23 ) ) ) )
| ( op2(e23,e23) = e23
& ~ ( op2(e23,e23) = e23
& ( ( op2(e23,e23) = e20
& op2(e23,e23) = e20 )
| ( op2(e23,e23) = e21
& op2(e23,e23) = e21 )
| ( op2(e23,e23) = e22
& op2(e23,e23) = e22 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23 ) ) ) ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e11 = op1(e10,e10)
& e12 = op1(op1(e10,op1(e10,e10)),e10)
& e13 = op1(e10,op1(e10,e10)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e21 = op2(e20,e20)
& e22 = op2(op2(e20,op2(e20,e20)),e20)
& e23 = op2(e20,op2(e20,e20)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e10) = e20
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(op2(e20,op2(e20,e20)),e20)
& h1(e13) = op2(e20,op2(e20,e20)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e10) = e21
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(op2(e21,op2(e21,e21)),e21)
& h2(e13) = op2(e21,op2(e21,e21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e10) = e22
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(op2(e22,op2(e22,e22)),e22)
& h3(e13) = op2(e22,op2(e22,e22)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e10) = e23
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(op2(e23,op2(e23,e23)),e23)
& h4(e13) = op2(e23,op2(e23,e23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f18,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f19,negated_conjecture,
~ ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( e20 != h1(e10)
& e20 != h1(e11)
& e20 != h1(e12)
& e20 != h1(e13) )
| ( e21 != h1(e10)
& e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13) )
| ( e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e12)
& e22 != h1(e13) )
| ( e23 != h1(e10)
& e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e13) ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( e20 != h2(e10)
& e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e13) )
| ( e21 != h2(e10)
& e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13) )
| ( e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e13) )
| ( e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12)
& e23 != h2(e13) ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( e20 != h3(e10)
& e20 != h3(e11)
& e20 != h3(e12)
& e20 != h3(e13) )
| ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e13) )
| ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13) )
| ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13) ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( e20 != h4(e10)
& e20 != h4(e11)
& e20 != h4(e12)
& e20 != h4(e13) )
| ( e21 != h4(e10)
& e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e13) )
| ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| ( e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13) ) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e10) != e11
& op1(e12,e10) != e12
& op1(e13,e10) != e13 )
| ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e10) != e11
& op1(e12,e10) != e12
& op1(e13,e10) != e13 )
| ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e10) != e11
& op1(e12,e10) != e12
& op1(e13,e10) != e13 )
| ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e10) != e11
& op1(e12,e10) != e12
& op1(e13,e10) != e13 )
| ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e11) != e10
& op1(e11,e11) != e11
& op1(e12,e11) != e12
& op1(e13,e11) != e13 )
| ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e10,e11) != e10
& op1(e11,e11) != e11
& op1(e12,e11) != e12
& op1(e13,e11) != e13 )
| ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e10,e11) != e10
& op1(e11,e11) != e11
& op1(e12,e11) != e12
& op1(e13,e11) != e13 )
| ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e11) != e10
& op1(e11,e11) != e11
& op1(e12,e11) != e12
& op1(e13,e11) != e13 )
| ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e12) != e10
& op1(e11,e12) != e11
& op1(e12,e12) != e12
& op1(e13,e12) != e13 )
| ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e12) != e10
& op1(e11,e12) != e11
& op1(e12,e12) != e12
& op1(e13,e12) != e13 )
| ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e10,e12) != e10
& op1(e11,e12) != e11
& op1(e12,e12) != e12
& op1(e13,e12) != e13 )
| ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e10,e12) != e10
& op1(e11,e12) != e11
& op1(e12,e12) != e12
& op1(e13,e12) != e13 )
| ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e13) != e10
& op1(e11,e13) != e11
& op1(e12,e13) != e12
& op1(e13,e13) != e13 )
| ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e10,e13) != e10
& op1(e11,e13) != e11
& op1(e12,e13) != e12
& op1(e13,e13) != e13 )
| ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e10,e13) != e10
& op1(e11,e13) != e11
& op1(e12,e13) != e12
& op1(e13,e13) != e13 )
| ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e10,e13) != e10
& op1(e11,e13) != e11
& op1(e12,e13) != e12
& op1(e13,e13) != e13 ) )
& ( ( op1(e10,e10) = op1(e10,e10)
& op1(e10,e10) != op1(e10,e10)
& op1(e10,op1(e10,e10)) = e10 )
| ( op1(e11,e10) = op1(e10,e11)
& op1(e11,e11) != op1(e10,e11)
& op1(e11,op1(e10,e11)) = e11 )
| ( op1(e12,e10) = op1(e10,e12)
& op1(e12,e12) != op1(e10,e12)
& op1(e12,op1(e10,e12)) = e12 )
| ( op1(e13,e10) = op1(e10,e13)
& op1(e13,e13) != op1(e10,e13)
& op1(e13,op1(e10,e13)) = e13 )
| ( op1(e10,e11) = op1(e11,e10)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,op1(e11,e10)) = e10 )
| ( op1(e11,e11) = op1(e11,e11)
& op1(e11,e11) != op1(e11,e11)
& op1(e11,op1(e11,e11)) = e11 )
| ( op1(e12,e11) = op1(e11,e12)
& op1(e12,e12) != op1(e11,e12)
& op1(e12,op1(e11,e12)) = e12 )
| ( op1(e13,e11) = op1(e11,e13)
& op1(e13,e13) != op1(e11,e13)
& op1(e13,op1(e11,e13)) = e13 )
| ( op1(e10,e12) = op1(e12,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,op1(e12,e10)) = e10 )
| ( op1(e11,e12) = op1(e12,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,op1(e12,e11)) = e11 )
| ( op1(e12,e12) = op1(e12,e12)
& op1(e12,e12) != op1(e12,e12)
& op1(e12,op1(e12,e12)) = e12 )
| ( op1(e13,e12) = op1(e12,e13)
& op1(e13,e13) != op1(e12,e13)
& op1(e13,op1(e12,e13)) = e13 )
| ( op1(e10,e13) = op1(e13,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,op1(e13,e10)) = e10 )
| ( op1(e11,e13) = op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,op1(e13,e11)) = e11 )
| ( op1(e12,e13) = op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,op1(e13,e12)) = e12 )
| ( op1(e13,e13) = op1(e13,e13)
& op1(e13,e13) != op1(e13,e13)
& op1(e13,op1(e13,e13)) = e13 ) )
& ( ( op1(e10,e10) = e10
& ( e10 != op1(e10,e10)
| ( ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( op1(e10,e10) != e11
| op1(e10,e10) != e11 )
& ( op1(e10,e10) != e12
| op1(e10,e10) != e12 )
& ( op1(e10,e10) != e13
| op1(e10,e10) != e13 ) ) ) )
| ( op1(e10,e10) = e11
& ( op1(e10,e10) != e11
| ( ( e10 != op1(e10,e11)
| e10 != op1(e11,e10) )
& ( e11 != op1(e10,e11)
| e11 != op1(e11,e10) )
& ( e12 != op1(e10,e11)
| e12 != op1(e11,e10) )
& ( e13 != op1(e10,e11)
| e13 != op1(e11,e10) ) ) ) )
| ( op1(e10,e10) = e12
& ( op1(e10,e10) != e12
| ( ( e10 != op1(e10,e12)
| e10 != op1(e12,e10) )
& ( e11 != op1(e10,e12)
| e11 != op1(e12,e10) )
& ( e12 != op1(e10,e12)
| e12 != op1(e12,e10) )
& ( e13 != op1(e10,e12)
| e13 != op1(e12,e10) ) ) ) )
| ( op1(e10,e10) = e13
& ( op1(e10,e10) != e13
| ( ( e10 != op1(e10,e13)
| e10 != op1(e13,e10) )
& ( e11 != op1(e10,e13)
| e11 != op1(e13,e10) )
& ( e12 != op1(e10,e13)
| e12 != op1(e13,e10) )
& ( e13 != op1(e10,e13)
| e13 != op1(e13,e10) ) ) ) )
| ( op1(e11,e11) = e10
& ( e10 != op1(e11,e11)
| ( ( e10 != op1(e11,e10)
| e10 != op1(e10,e11) )
& ( e11 != op1(e11,e10)
| e11 != op1(e10,e11) )
& ( e12 != op1(e11,e10)
| e12 != op1(e10,e11) )
& ( e13 != op1(e11,e10)
| e13 != op1(e10,e11) ) ) ) )
| ( op1(e11,e11) = e11
& ( e11 != op1(e11,e11)
| ( ( e10 != op1(e11,e11)
| e10 != op1(e11,e11) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e12 != op1(e11,e11)
| e12 != op1(e11,e11) )
& ( e13 != op1(e11,e11)
| e13 != op1(e11,e11) ) ) ) )
| ( op1(e11,e11) = e12
& ( e12 != op1(e11,e11)
| ( ( e10 != op1(e11,e12)
| e10 != op1(e12,e11) )
& ( e11 != op1(e11,e12)
| e11 != op1(e12,e11) )
& ( e12 != op1(e11,e12)
| e12 != op1(e12,e11) )
& ( e13 != op1(e11,e12)
| e13 != op1(e12,e11) ) ) ) )
| ( op1(e11,e11) = e13
& ( e13 != op1(e11,e11)
| ( ( e10 != op1(e11,e13)
| e10 != op1(e13,e11) )
& ( e11 != op1(e11,e13)
| e11 != op1(e13,e11) )
& ( e12 != op1(e11,e13)
| e12 != op1(e13,e11) )
& ( e13 != op1(e11,e13)
| e13 != op1(e13,e11) ) ) ) )
| ( op1(e12,e12) = e10
& ( e10 != op1(e12,e12)
| ( ( e10 != op1(e12,e10)
| e10 != op1(e10,e12) )
& ( e11 != op1(e12,e10)
| e11 != op1(e10,e12) )
& ( e12 != op1(e12,e10)
| e12 != op1(e10,e12) )
& ( e13 != op1(e12,e10)
| e13 != op1(e10,e12) ) ) ) )
| ( op1(e12,e12) = e11
& ( e11 != op1(e12,e12)
| ( ( e10 != op1(e12,e11)
| e10 != op1(e11,e12) )
& ( e11 != op1(e12,e11)
| e11 != op1(e11,e12) )
& ( e12 != op1(e12,e11)
| e12 != op1(e11,e12) )
& ( e13 != op1(e12,e11)
| e13 != op1(e11,e12) ) ) ) )
| ( op1(e12,e12) = e12
& ( e12 != op1(e12,e12)
| ( ( e10 != op1(e12,e12)
| e10 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e11 != op1(e12,e12) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e13 != op1(e12,e12)
| e13 != op1(e12,e12) ) ) ) )
| ( op1(e12,e12) = e13
& ( e13 != op1(e12,e12)
| ( ( e10 != op1(e12,e13)
| e10 != op1(e13,e12) )
& ( e11 != op1(e12,e13)
| e11 != op1(e13,e12) )
& ( e12 != op1(e12,e13)
| e12 != op1(e13,e12) )
& ( e13 != op1(e12,e13)
| e13 != op1(e13,e12) ) ) ) )
| ( op1(e13,e13) = e10
& ( e10 != op1(e13,e13)
| ( ( e10 != op1(e13,e10)
| e10 != op1(e10,e13) )
& ( e11 != op1(e13,e10)
| e11 != op1(e10,e13) )
& ( e12 != op1(e13,e10)
| e12 != op1(e10,e13) )
& ( e13 != op1(e13,e10)
| e13 != op1(e10,e13) ) ) ) )
| ( op1(e13,e13) = e11
& ( e11 != op1(e13,e13)
| ( ( e10 != op1(e13,e11)
| e10 != op1(e11,e13) )
& ( e11 != op1(e13,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e13,e11)
| e12 != op1(e11,e13) )
& ( e13 != op1(e13,e11)
| e13 != op1(e11,e13) ) ) ) )
| ( op1(e13,e13) = e12
& ( e12 != op1(e13,e13)
| ( ( e10 != op1(e13,e12)
| e10 != op1(e12,e13) )
& ( e11 != op1(e13,e12)
| e11 != op1(e12,e13) )
& ( e12 != op1(e13,e12)
| e12 != op1(e12,e13) )
& ( e13 != op1(e13,e12)
| e13 != op1(e12,e13) ) ) ) )
| ( op1(e13,e13) = e13
& ( e13 != op1(e13,e13)
| ( ( e10 != op1(e13,e13)
| e10 != op1(e13,e13) )
& ( e11 != op1(e13,e13)
| e11 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e12 != op1(e13,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) ) ) ) ) ) ),
inference(ennf_transformation,[],[f10]) ).
fof(f22,plain,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e20) != e21
& op2(e22,e20) != e22
& op2(e23,e20) != e23 )
| ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e20) != e21
& op2(e22,e20) != e22
& op2(e23,e20) != e23 )
| ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e20) != e21
& op2(e22,e20) != e22
& op2(e23,e20) != e23 )
| ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e20) != e21
& op2(e22,e20) != e22
& op2(e23,e20) != e23 )
| ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e21) != e20
& op2(e21,e21) != e21
& op2(e22,e21) != e22
& op2(e23,e21) != e23 )
| ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e20,e21) != e20
& op2(e21,e21) != e21
& op2(e22,e21) != e22
& op2(e23,e21) != e23 )
| ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e20,e21) != e20
& op2(e21,e21) != e21
& op2(e22,e21) != e22
& op2(e23,e21) != e23 )
| ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e21) != e20
& op2(e21,e21) != e21
& op2(e22,e21) != e22
& op2(e23,e21) != e23 )
| ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e22) != e20
& op2(e21,e22) != e21
& op2(e22,e22) != e22
& op2(e23,e22) != e23 )
| ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e22) != e20
& op2(e21,e22) != e21
& op2(e22,e22) != e22
& op2(e23,e22) != e23 )
| ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e20,e22) != e20
& op2(e21,e22) != e21
& op2(e22,e22) != e22
& op2(e23,e22) != e23 )
| ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e20,e22) != e20
& op2(e21,e22) != e21
& op2(e22,e22) != e22
& op2(e23,e22) != e23 )
| ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e23) != e20
& op2(e21,e23) != e21
& op2(e22,e23) != e22
& op2(e23,e23) != e23 )
| ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e20,e23) != e20
& op2(e21,e23) != e21
& op2(e22,e23) != e22
& op2(e23,e23) != e23 )
| ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e20,e23) != e20
& op2(e21,e23) != e21
& op2(e22,e23) != e22
& op2(e23,e23) != e23 )
| ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e20,e23) != e20
& op2(e21,e23) != e21
& op2(e22,e23) != e22
& op2(e23,e23) != e23 ) )
& ( ( op2(e20,e20) = op2(e20,e20)
& op2(e20,e20) != op2(e20,e20)
& op2(e20,op2(e20,e20)) = e20 )
| ( op2(e21,e20) = op2(e20,e21)
& op2(e21,e21) != op2(e20,e21)
& op2(e21,op2(e20,e21)) = e21 )
| ( op2(e22,e20) = op2(e20,e22)
& op2(e22,e22) != op2(e20,e22)
& op2(e22,op2(e20,e22)) = e22 )
| ( op2(e23,e20) = op2(e20,e23)
& op2(e23,e23) != op2(e20,e23)
& op2(e23,op2(e20,e23)) = e23 )
| ( op2(e20,e21) = op2(e21,e20)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,op2(e21,e20)) = e20 )
| ( op2(e21,e21) = op2(e21,e21)
& op2(e21,e21) != op2(e21,e21)
& op2(e21,op2(e21,e21)) = e21 )
| ( op2(e22,e21) = op2(e21,e22)
& op2(e22,e22) != op2(e21,e22)
& op2(e22,op2(e21,e22)) = e22 )
| ( op2(e23,e21) = op2(e21,e23)
& op2(e23,e23) != op2(e21,e23)
& op2(e23,op2(e21,e23)) = e23 )
| ( op2(e20,e22) = op2(e22,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,op2(e22,e20)) = e20 )
| ( op2(e21,e22) = op2(e22,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,op2(e22,e21)) = e21 )
| ( op2(e22,e22) = op2(e22,e22)
& op2(e22,e22) != op2(e22,e22)
& op2(e22,op2(e22,e22)) = e22 )
| ( op2(e23,e22) = op2(e22,e23)
& op2(e23,e23) != op2(e22,e23)
& op2(e23,op2(e22,e23)) = e23 )
| ( op2(e20,e23) = op2(e23,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,op2(e23,e20)) = e20 )
| ( op2(e21,e23) = op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,op2(e23,e21)) = e21 )
| ( op2(e22,e23) = op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,op2(e23,e22)) = e22 )
| ( op2(e23,e23) = op2(e23,e23)
& op2(e23,e23) != op2(e23,e23)
& op2(e23,op2(e23,e23)) = e23 ) )
& ( ( op2(e20,e20) = e20
& ( e20 != op2(e20,e20)
| ( ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( op2(e20,e20) != e21
| op2(e20,e20) != e21 )
& ( op2(e20,e20) != e22
| op2(e20,e20) != e22 )
& ( op2(e20,e20) != e23
| op2(e20,e20) != e23 ) ) ) )
| ( op2(e20,e20) = e21
& ( op2(e20,e20) != e21
| ( ( e20 != op2(e20,e21)
| e20 != op2(e21,e20) )
& ( e21 != op2(e20,e21)
| e21 != op2(e21,e20) )
& ( e22 != op2(e20,e21)
| e22 != op2(e21,e20) )
& ( e23 != op2(e20,e21)
| e23 != op2(e21,e20) ) ) ) )
| ( op2(e20,e20) = e22
& ( op2(e20,e20) != e22
| ( ( e20 != op2(e20,e22)
| e20 != op2(e22,e20) )
& ( e21 != op2(e20,e22)
| e21 != op2(e22,e20) )
& ( e22 != op2(e20,e22)
| e22 != op2(e22,e20) )
& ( e23 != op2(e20,e22)
| e23 != op2(e22,e20) ) ) ) )
| ( op2(e20,e20) = e23
& ( op2(e20,e20) != e23
| ( ( e20 != op2(e20,e23)
| e20 != op2(e23,e20) )
& ( e21 != op2(e20,e23)
| e21 != op2(e23,e20) )
& ( e22 != op2(e20,e23)
| e22 != op2(e23,e20) )
& ( e23 != op2(e20,e23)
| e23 != op2(e23,e20) ) ) ) )
| ( op2(e21,e21) = e20
& ( e20 != op2(e21,e21)
| ( ( e20 != op2(e21,e20)
| e20 != op2(e20,e21) )
& ( e21 != op2(e21,e20)
| e21 != op2(e20,e21) )
& ( e22 != op2(e21,e20)
| e22 != op2(e20,e21) )
& ( e23 != op2(e21,e20)
| e23 != op2(e20,e21) ) ) ) )
| ( op2(e21,e21) = e21
& ( e21 != op2(e21,e21)
| ( ( e20 != op2(e21,e21)
| e20 != op2(e21,e21) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e22 != op2(e21,e21)
| e22 != op2(e21,e21) )
& ( e23 != op2(e21,e21)
| e23 != op2(e21,e21) ) ) ) )
| ( op2(e21,e21) = e22
& ( e22 != op2(e21,e21)
| ( ( e20 != op2(e21,e22)
| e20 != op2(e22,e21) )
& ( e21 != op2(e21,e22)
| e21 != op2(e22,e21) )
& ( e22 != op2(e21,e22)
| e22 != op2(e22,e21) )
& ( e23 != op2(e21,e22)
| e23 != op2(e22,e21) ) ) ) )
| ( op2(e21,e21) = e23
& ( e23 != op2(e21,e21)
| ( ( e20 != op2(e21,e23)
| e20 != op2(e23,e21) )
& ( e21 != op2(e21,e23)
| e21 != op2(e23,e21) )
& ( e22 != op2(e21,e23)
| e22 != op2(e23,e21) )
& ( e23 != op2(e21,e23)
| e23 != op2(e23,e21) ) ) ) )
| ( op2(e22,e22) = e20
& ( e20 != op2(e22,e22)
| ( ( e20 != op2(e22,e20)
| e20 != op2(e20,e22) )
& ( e21 != op2(e22,e20)
| e21 != op2(e20,e22) )
& ( e22 != op2(e22,e20)
| e22 != op2(e20,e22) )
& ( e23 != op2(e22,e20)
| e23 != op2(e20,e22) ) ) ) )
| ( op2(e22,e22) = e21
& ( e21 != op2(e22,e22)
| ( ( e20 != op2(e22,e21)
| e20 != op2(e21,e22) )
& ( e21 != op2(e22,e21)
| e21 != op2(e21,e22) )
& ( e22 != op2(e22,e21)
| e22 != op2(e21,e22) )
& ( e23 != op2(e22,e21)
| e23 != op2(e21,e22) ) ) ) )
| ( op2(e22,e22) = e22
& ( e22 != op2(e22,e22)
| ( ( e20 != op2(e22,e22)
| e20 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e21 != op2(e22,e22) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e23 != op2(e22,e22)
| e23 != op2(e22,e22) ) ) ) )
| ( op2(e22,e22) = e23
& ( e23 != op2(e22,e22)
| ( ( e20 != op2(e22,e23)
| e20 != op2(e23,e22) )
& ( e21 != op2(e22,e23)
| e21 != op2(e23,e22) )
& ( e22 != op2(e22,e23)
| e22 != op2(e23,e22) )
& ( e23 != op2(e22,e23)
| e23 != op2(e23,e22) ) ) ) )
| ( op2(e23,e23) = e20
& ( e20 != op2(e23,e23)
| ( ( e20 != op2(e23,e20)
| e20 != op2(e20,e23) )
& ( e21 != op2(e23,e20)
| e21 != op2(e20,e23) )
& ( e22 != op2(e23,e20)
| e22 != op2(e20,e23) )
& ( e23 != op2(e23,e20)
| e23 != op2(e20,e23) ) ) ) )
| ( op2(e23,e23) = e21
& ( e21 != op2(e23,e23)
| ( ( e20 != op2(e23,e21)
| e20 != op2(e21,e23) )
& ( e21 != op2(e23,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e23,e21)
| e22 != op2(e21,e23) )
& ( e23 != op2(e23,e21)
| e23 != op2(e21,e23) ) ) ) )
| ( op2(e23,e23) = e22
& ( e22 != op2(e23,e23)
| ( ( e20 != op2(e23,e22)
| e20 != op2(e22,e23) )
& ( e21 != op2(e23,e22)
| e21 != op2(e22,e23) )
& ( e22 != op2(e23,e22)
| e22 != op2(e22,e23) )
& ( e23 != op2(e23,e22)
| e23 != op2(e22,e23) ) ) ) )
| ( op2(e23,e23) = e23
& ( e23 != op2(e23,e23)
| ( ( e20 != op2(e23,e23)
| e20 != op2(e23,e23) )
& ( e21 != op2(e23,e23)
| e21 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e22 != op2(e23,e23) )
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) ) ) ) ) ) ),
inference(ennf_transformation,[],[f11]) ).
fof(f23,definition,
( ( e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ( e21 != h4(e10)
& e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e13) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e13) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ( e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12)
& e23 != h2(e13) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ( e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e13) )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ( e21 != h2(e10)
& e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13) )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ( e23 != h1(e10)
& e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e13) )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f33,definition,
( ( e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e12)
& e22 != h1(e13) )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f34,definition,
( ( e21 != h1(e10)
& e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13) )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f35,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,f34,f33,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23]) ).
fof(f36,definition,
( ( op1(e13,e13) = e13
& ( e13 != op1(e13,e13)
| ( ( e10 != op1(e13,e13)
| e10 != op1(e13,e13) )
& ( e11 != op1(e13,e13)
| e11 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e12 != op1(e13,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) ) ) ) )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f37,definition,
( ( op1(e13,e13) = e12
& ( e12 != op1(e13,e13)
| ( ( e10 != op1(e13,e12)
| e10 != op1(e12,e13) )
& ( e11 != op1(e13,e12)
| e11 != op1(e12,e13) )
& ( e12 != op1(e13,e12)
| e12 != op1(e12,e13) )
& ( e13 != op1(e13,e12)
| e13 != op1(e12,e13) ) ) ) )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f38,definition,
( ( op1(e13,e13) = e11
& ( e11 != op1(e13,e13)
| ( ( e10 != op1(e13,e11)
| e10 != op1(e11,e13) )
& ( e11 != op1(e13,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e13,e11)
| e12 != op1(e11,e13) )
& ( e13 != op1(e13,e11)
| e13 != op1(e11,e13) ) ) ) )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ( op1(e13,e13) = e10
& ( e10 != op1(e13,e13)
| ( ( e10 != op1(e13,e10)
| e10 != op1(e10,e13) )
& ( e11 != op1(e13,e10)
| e11 != op1(e10,e13) )
& ( e12 != op1(e13,e10)
| e12 != op1(e10,e13) )
& ( e13 != op1(e13,e10)
| e13 != op1(e10,e13) ) ) ) )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ( op1(e12,e12) = e13
& ( e13 != op1(e12,e12)
| ( ( e10 != op1(e12,e13)
| e10 != op1(e13,e12) )
& ( e11 != op1(e12,e13)
| e11 != op1(e13,e12) )
& ( e12 != op1(e12,e13)
| e12 != op1(e13,e12) )
& ( e13 != op1(e12,e13)
| e13 != op1(e13,e12) ) ) ) )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f41,definition,
( ( op1(e12,e12) = e12
& ( e12 != op1(e12,e12)
| ( ( e10 != op1(e12,e12)
| e10 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e11 != op1(e12,e12) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e13 != op1(e12,e12)
| e13 != op1(e12,e12) ) ) ) )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f42,definition,
( ( op1(e12,e12) = e11
& ( e11 != op1(e12,e12)
| ( ( e10 != op1(e12,e11)
| e10 != op1(e11,e12) )
& ( e11 != op1(e12,e11)
| e11 != op1(e11,e12) )
& ( e12 != op1(e12,e11)
| e12 != op1(e11,e12) )
& ( e13 != op1(e12,e11)
| e13 != op1(e11,e12) ) ) ) )
| ~ sP18 ),
introduced(definition,[new_symbols(definition,[sP18])],[predicate_definition_introduction]) ).
fof(f43,definition,
( ( op1(e12,e12) = e10
& ( e10 != op1(e12,e12)
| ( ( e10 != op1(e12,e10)
| e10 != op1(e10,e12) )
& ( e11 != op1(e12,e10)
| e11 != op1(e10,e12) )
& ( e12 != op1(e12,e10)
| e12 != op1(e10,e12) )
& ( e13 != op1(e12,e10)
| e13 != op1(e10,e12) ) ) ) )
| ~ sP19 ),
introduced(definition,[new_symbols(definition,[sP19])],[predicate_definition_introduction]) ).
fof(f44,definition,
( ( op1(e11,e11) = e13
& ( e13 != op1(e11,e11)
| ( ( e10 != op1(e11,e13)
| e10 != op1(e13,e11) )
& ( e11 != op1(e11,e13)
| e11 != op1(e13,e11) )
& ( e12 != op1(e11,e13)
| e12 != op1(e13,e11) )
& ( e13 != op1(e11,e13)
| e13 != op1(e13,e11) ) ) ) )
| ~ sP20 ),
introduced(definition,[new_symbols(definition,[sP20])],[predicate_definition_introduction]) ).
fof(f45,definition,
( ( op1(e11,e11) = e12
& ( e12 != op1(e11,e11)
| ( ( e10 != op1(e11,e12)
| e10 != op1(e12,e11) )
& ( e11 != op1(e11,e12)
| e11 != op1(e12,e11) )
& ( e12 != op1(e11,e12)
| e12 != op1(e12,e11) )
& ( e13 != op1(e11,e12)
| e13 != op1(e12,e11) ) ) ) )
| ~ sP21 ),
introduced(definition,[new_symbols(definition,[sP21])],[predicate_definition_introduction]) ).
fof(f46,definition,
( ( op1(e11,e11) = e11
& ( e11 != op1(e11,e11)
| ( ( e10 != op1(e11,e11)
| e10 != op1(e11,e11) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e12 != op1(e11,e11)
| e12 != op1(e11,e11) )
& ( e13 != op1(e11,e11)
| e13 != op1(e11,e11) ) ) ) )
| ~ sP22 ),
introduced(definition,[new_symbols(definition,[sP22])],[predicate_definition_introduction]) ).
fof(f47,definition,
( ( op1(e11,e11) = e10
& ( e10 != op1(e11,e11)
| ( ( e10 != op1(e11,e10)
| e10 != op1(e10,e11) )
& ( e11 != op1(e11,e10)
| e11 != op1(e10,e11) )
& ( e12 != op1(e11,e10)
| e12 != op1(e10,e11) )
& ( e13 != op1(e11,e10)
| e13 != op1(e10,e11) ) ) ) )
| ~ sP23 ),
introduced(definition,[new_symbols(definition,[sP23])],[predicate_definition_introduction]) ).
fof(f48,definition,
( ( op1(e10,e10) = e13
& ( op1(e10,e10) != e13
| ( ( e10 != op1(e10,e13)
| e10 != op1(e13,e10) )
& ( e11 != op1(e10,e13)
| e11 != op1(e13,e10) )
& ( e12 != op1(e10,e13)
| e12 != op1(e13,e10) )
& ( e13 != op1(e10,e13)
| e13 != op1(e13,e10) ) ) ) )
| ~ sP24 ),
introduced(definition,[new_symbols(definition,[sP24])],[predicate_definition_introduction]) ).
fof(f49,definition,
( ( op1(e10,e10) = e12
& ( op1(e10,e10) != e12
| ( ( e10 != op1(e10,e12)
| e10 != op1(e12,e10) )
& ( e11 != op1(e10,e12)
| e11 != op1(e12,e10) )
& ( e12 != op1(e10,e12)
| e12 != op1(e12,e10) )
& ( e13 != op1(e10,e12)
| e13 != op1(e12,e10) ) ) ) )
| ~ sP25 ),
introduced(definition,[new_symbols(definition,[sP25])],[predicate_definition_introduction]) ).
fof(f50,definition,
( ( op1(e10,e10) = e11
& ( op1(e10,e10) != e11
| ( ( e10 != op1(e10,e11)
| e10 != op1(e11,e10) )
& ( e11 != op1(e10,e11)
| e11 != op1(e11,e10) )
& ( e12 != op1(e10,e11)
| e12 != op1(e11,e10) )
& ( e13 != op1(e10,e11)
| e13 != op1(e11,e10) ) ) ) )
| ~ sP26 ),
introduced(definition,[new_symbols(definition,[sP26])],[predicate_definition_introduction]) ).
fof(f51,definition,
( ( op1(e13,e13) = op1(e13,e13)
& op1(e13,e13) != op1(e13,e13)
& op1(e13,op1(e13,e13)) = e13 )
| ~ sP27 ),
introduced(definition,[new_symbols(definition,[sP27])],[predicate_definition_introduction]) ).
fof(f52,definition,
( ( op1(e12,e13) = op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,op1(e13,e12)) = e12 )
| ~ sP28 ),
introduced(definition,[new_symbols(definition,[sP28])],[predicate_definition_introduction]) ).
fof(f53,definition,
( ( op1(e11,e13) = op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,op1(e13,e11)) = e11 )
| ~ sP29 ),
introduced(definition,[new_symbols(definition,[sP29])],[predicate_definition_introduction]) ).
fof(f54,definition,
( ( op1(e10,e13) = op1(e13,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,op1(e13,e10)) = e10 )
| ~ sP30 ),
introduced(definition,[new_symbols(definition,[sP30])],[predicate_definition_introduction]) ).
fof(f55,definition,
( ( op1(e13,e12) = op1(e12,e13)
& op1(e13,e13) != op1(e12,e13)
& op1(e13,op1(e12,e13)) = e13 )
| ~ sP31 ),
introduced(definition,[new_symbols(definition,[sP31])],[predicate_definition_introduction]) ).
fof(f56,definition,
( ( op1(e12,e12) = op1(e12,e12)
& op1(e12,e12) != op1(e12,e12)
& op1(e12,op1(e12,e12)) = e12 )
| ~ sP32 ),
introduced(definition,[new_symbols(definition,[sP32])],[predicate_definition_introduction]) ).
fof(f57,definition,
( ( op1(e11,e12) = op1(e12,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,op1(e12,e11)) = e11 )
| ~ sP33 ),
introduced(definition,[new_symbols(definition,[sP33])],[predicate_definition_introduction]) ).
fof(f58,definition,
( ( op1(e10,e12) = op1(e12,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,op1(e12,e10)) = e10 )
| ~ sP34 ),
introduced(definition,[new_symbols(definition,[sP34])],[predicate_definition_introduction]) ).
fof(f59,definition,
( ( op1(e13,e11) = op1(e11,e13)
& op1(e13,e13) != op1(e11,e13)
& op1(e13,op1(e11,e13)) = e13 )
| ~ sP35 ),
introduced(definition,[new_symbols(definition,[sP35])],[predicate_definition_introduction]) ).
fof(f60,definition,
( ( op1(e12,e11) = op1(e11,e12)
& op1(e12,e12) != op1(e11,e12)
& op1(e12,op1(e11,e12)) = e12 )
| ~ sP36 ),
introduced(definition,[new_symbols(definition,[sP36])],[predicate_definition_introduction]) ).
fof(f61,definition,
( ( op1(e11,e11) = op1(e11,e11)
& op1(e11,e11) != op1(e11,e11)
& op1(e11,op1(e11,e11)) = e11 )
| ~ sP37 ),
introduced(definition,[new_symbols(definition,[sP37])],[predicate_definition_introduction]) ).
fof(f62,definition,
( ( op1(e10,e11) = op1(e11,e10)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,op1(e11,e10)) = e10 )
| ~ sP38 ),
introduced(definition,[new_symbols(definition,[sP38])],[predicate_definition_introduction]) ).
fof(f63,definition,
( ( op1(e13,e10) = op1(e10,e13)
& op1(e13,e13) != op1(e10,e13)
& op1(e13,op1(e10,e13)) = e13 )
| ~ sP39 ),
introduced(definition,[new_symbols(definition,[sP39])],[predicate_definition_introduction]) ).
fof(f64,definition,
( ( op1(e12,e10) = op1(e10,e12)
& op1(e12,e12) != op1(e10,e12)
& op1(e12,op1(e10,e12)) = e12 )
| ~ sP40 ),
introduced(definition,[new_symbols(definition,[sP40])],[predicate_definition_introduction]) ).
fof(f65,definition,
( ( op1(e11,e10) = op1(e10,e11)
& op1(e11,e11) != op1(e10,e11)
& op1(e11,op1(e10,e11)) = e11 )
| ~ sP41 ),
introduced(definition,[new_symbols(definition,[sP41])],[predicate_definition_introduction]) ).
fof(f66,definition,
( ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e10,e13) != e10
& op1(e11,e13) != e11
& op1(e12,e13) != e12
& op1(e13,e13) != e13 )
| ~ sP42 ),
introduced(definition,[new_symbols(definition,[sP42])],[predicate_definition_introduction]) ).
fof(f67,definition,
( ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e10,e13) != e10
& op1(e11,e13) != e11
& op1(e12,e13) != e12
& op1(e13,e13) != e13 )
| ~ sP43 ),
introduced(definition,[new_symbols(definition,[sP43])],[predicate_definition_introduction]) ).
fof(f68,definition,
( ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e10,e13) != e10
& op1(e11,e13) != e11
& op1(e12,e13) != e12
& op1(e13,e13) != e13 )
| ~ sP44 ),
introduced(definition,[new_symbols(definition,[sP44])],[predicate_definition_introduction]) ).
fof(f69,definition,
( ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e13) != e10
& op1(e11,e13) != e11
& op1(e12,e13) != e12
& op1(e13,e13) != e13 )
| ~ sP45 ),
introduced(definition,[new_symbols(definition,[sP45])],[predicate_definition_introduction]) ).
fof(f70,definition,
( ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e10,e12) != e10
& op1(e11,e12) != e11
& op1(e12,e12) != e12
& op1(e13,e12) != e13 )
| ~ sP46 ),
introduced(definition,[new_symbols(definition,[sP46])],[predicate_definition_introduction]) ).
fof(f71,definition,
( ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e10,e12) != e10
& op1(e11,e12) != e11
& op1(e12,e12) != e12
& op1(e13,e12) != e13 )
| ~ sP47 ),
introduced(definition,[new_symbols(definition,[sP47])],[predicate_definition_introduction]) ).
fof(f72,definition,
( ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e12) != e10
& op1(e11,e12) != e11
& op1(e12,e12) != e12
& op1(e13,e12) != e13 )
| ~ sP48 ),
introduced(definition,[new_symbols(definition,[sP48])],[predicate_definition_introduction]) ).
fof(f73,definition,
( ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e12) != e10
& op1(e11,e12) != e11
& op1(e12,e12) != e12
& op1(e13,e12) != e13 )
| ~ sP49 ),
introduced(definition,[new_symbols(definition,[sP49])],[predicate_definition_introduction]) ).
fof(f74,definition,
( ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e11) != e10
& op1(e11,e11) != e11
& op1(e12,e11) != e12
& op1(e13,e11) != e13 )
| ~ sP50 ),
introduced(definition,[new_symbols(definition,[sP50])],[predicate_definition_introduction]) ).
fof(f75,definition,
( ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e10,e11) != e10
& op1(e11,e11) != e11
& op1(e12,e11) != e12
& op1(e13,e11) != e13 )
| ~ sP51 ),
introduced(definition,[new_symbols(definition,[sP51])],[predicate_definition_introduction]) ).
fof(f76,definition,
( ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e10,e11) != e10
& op1(e11,e11) != e11
& op1(e12,e11) != e12
& op1(e13,e11) != e13 )
| ~ sP52 ),
introduced(definition,[new_symbols(definition,[sP52])],[predicate_definition_introduction]) ).
fof(f77,definition,
( ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e11) != e10
& op1(e11,e11) != e11
& op1(e12,e11) != e12
& op1(e13,e11) != e13 )
| ~ sP53 ),
introduced(definition,[new_symbols(definition,[sP53])],[predicate_definition_introduction]) ).
fof(f78,definition,
( ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e10) != e11
& op1(e12,e10) != e12
& op1(e13,e10) != e13 )
| ~ sP54 ),
introduced(definition,[new_symbols(definition,[sP54])],[predicate_definition_introduction]) ).
fof(f79,definition,
( ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e10) != e11
& op1(e12,e10) != e12
& op1(e13,e10) != e13 )
| ~ sP55 ),
introduced(definition,[new_symbols(definition,[sP55])],[predicate_definition_introduction]) ).
fof(f80,definition,
( ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e10) != e11
& op1(e12,e10) != e12
& op1(e13,e10) != e13 )
| ~ sP56 ),
introduced(definition,[new_symbols(definition,[sP56])],[predicate_definition_introduction]) ).
fof(f81,plain,
( ( ( op1(e10,e10) = e10
& op1(e10,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e10) != e11
& op1(e12,e10) != e12
& op1(e13,e10) != e13 )
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42 )
& ( ( op1(e10,e10) = op1(e10,e10)
& op1(e10,e10) != op1(e10,e10)
& op1(e10,op1(e10,e10)) = e10 )
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 )
& ( ( op1(e10,e10) = e10
& ( e10 != op1(e10,e10)
| ( ( e10 != op1(e10,e10)
| e10 != op1(e10,e10) )
& ( op1(e10,e10) != e11
| op1(e10,e10) != e11 )
& ( op1(e10,e10) != e12
| op1(e10,e10) != e12 )
& ( op1(e10,e10) != e13
| op1(e10,e10) != e13 ) ) ) )
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 ) ),
inference(definition_folding,[],[f21,f80,f79,f78,f77,f76,f75,f74,f73,f72,f71,f70,f69,f68,f67,f66,f65,f64,f63,f62,f61,f60,f59,f58,f57,f56,f55,f54,f53,f52,f51,f50,f49,f48,f47,f46,f45,f44,f43,f42,f41,f40,f39,f38,f37,f36]) ).
fof(f82,definition,
( ( op2(e23,e23) = e23
& ( e23 != op2(e23,e23)
| ( ( e20 != op2(e23,e23)
| e20 != op2(e23,e23) )
& ( e21 != op2(e23,e23)
| e21 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e22 != op2(e23,e23) )
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) ) ) ) )
| ~ sP57 ),
introduced(definition,[new_symbols(definition,[sP57])],[predicate_definition_introduction]) ).
fof(f83,definition,
( ( op2(e23,e23) = e22
& ( e22 != op2(e23,e23)
| ( ( e20 != op2(e23,e22)
| e20 != op2(e22,e23) )
& ( e21 != op2(e23,e22)
| e21 != op2(e22,e23) )
& ( e22 != op2(e23,e22)
| e22 != op2(e22,e23) )
& ( e23 != op2(e23,e22)
| e23 != op2(e22,e23) ) ) ) )
| ~ sP58 ),
introduced(definition,[new_symbols(definition,[sP58])],[predicate_definition_introduction]) ).
fof(f84,definition,
( ( op2(e23,e23) = e21
& ( e21 != op2(e23,e23)
| ( ( e20 != op2(e23,e21)
| e20 != op2(e21,e23) )
& ( e21 != op2(e23,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e23,e21)
| e22 != op2(e21,e23) )
& ( e23 != op2(e23,e21)
| e23 != op2(e21,e23) ) ) ) )
| ~ sP59 ),
introduced(definition,[new_symbols(definition,[sP59])],[predicate_definition_introduction]) ).
fof(f85,definition,
( ( op2(e23,e23) = e20
& ( e20 != op2(e23,e23)
| ( ( e20 != op2(e23,e20)
| e20 != op2(e20,e23) )
& ( e21 != op2(e23,e20)
| e21 != op2(e20,e23) )
& ( e22 != op2(e23,e20)
| e22 != op2(e20,e23) )
& ( e23 != op2(e23,e20)
| e23 != op2(e20,e23) ) ) ) )
| ~ sP60 ),
introduced(definition,[new_symbols(definition,[sP60])],[predicate_definition_introduction]) ).
fof(f86,definition,
( ( op2(e22,e22) = e23
& ( e23 != op2(e22,e22)
| ( ( e20 != op2(e22,e23)
| e20 != op2(e23,e22) )
& ( e21 != op2(e22,e23)
| e21 != op2(e23,e22) )
& ( e22 != op2(e22,e23)
| e22 != op2(e23,e22) )
& ( e23 != op2(e22,e23)
| e23 != op2(e23,e22) ) ) ) )
| ~ sP61 ),
introduced(definition,[new_symbols(definition,[sP61])],[predicate_definition_introduction]) ).
fof(f87,definition,
( ( op2(e22,e22) = e22
& ( e22 != op2(e22,e22)
| ( ( e20 != op2(e22,e22)
| e20 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e21 != op2(e22,e22) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e23 != op2(e22,e22)
| e23 != op2(e22,e22) ) ) ) )
| ~ sP62 ),
introduced(definition,[new_symbols(definition,[sP62])],[predicate_definition_introduction]) ).
fof(f88,definition,
( ( op2(e22,e22) = e21
& ( e21 != op2(e22,e22)
| ( ( e20 != op2(e22,e21)
| e20 != op2(e21,e22) )
& ( e21 != op2(e22,e21)
| e21 != op2(e21,e22) )
& ( e22 != op2(e22,e21)
| e22 != op2(e21,e22) )
& ( e23 != op2(e22,e21)
| e23 != op2(e21,e22) ) ) ) )
| ~ sP63 ),
introduced(definition,[new_symbols(definition,[sP63])],[predicate_definition_introduction]) ).
fof(f89,definition,
( ( op2(e22,e22) = e20
& ( e20 != op2(e22,e22)
| ( ( e20 != op2(e22,e20)
| e20 != op2(e20,e22) )
& ( e21 != op2(e22,e20)
| e21 != op2(e20,e22) )
& ( e22 != op2(e22,e20)
| e22 != op2(e20,e22) )
& ( e23 != op2(e22,e20)
| e23 != op2(e20,e22) ) ) ) )
| ~ sP64 ),
introduced(definition,[new_symbols(definition,[sP64])],[predicate_definition_introduction]) ).
fof(f90,definition,
( ( op2(e21,e21) = e23
& ( e23 != op2(e21,e21)
| ( ( e20 != op2(e21,e23)
| e20 != op2(e23,e21) )
& ( e21 != op2(e21,e23)
| e21 != op2(e23,e21) )
& ( e22 != op2(e21,e23)
| e22 != op2(e23,e21) )
& ( e23 != op2(e21,e23)
| e23 != op2(e23,e21) ) ) ) )
| ~ sP65 ),
introduced(definition,[new_symbols(definition,[sP65])],[predicate_definition_introduction]) ).
fof(f91,definition,
( ( op2(e21,e21) = e22
& ( e22 != op2(e21,e21)
| ( ( e20 != op2(e21,e22)
| e20 != op2(e22,e21) )
& ( e21 != op2(e21,e22)
| e21 != op2(e22,e21) )
& ( e22 != op2(e21,e22)
| e22 != op2(e22,e21) )
& ( e23 != op2(e21,e22)
| e23 != op2(e22,e21) ) ) ) )
| ~ sP66 ),
introduced(definition,[new_symbols(definition,[sP66])],[predicate_definition_introduction]) ).
fof(f92,definition,
( ( op2(e21,e21) = e21
& ( e21 != op2(e21,e21)
| ( ( e20 != op2(e21,e21)
| e20 != op2(e21,e21) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e22 != op2(e21,e21)
| e22 != op2(e21,e21) )
& ( e23 != op2(e21,e21)
| e23 != op2(e21,e21) ) ) ) )
| ~ sP67 ),
introduced(definition,[new_symbols(definition,[sP67])],[predicate_definition_introduction]) ).
fof(f93,definition,
( ( op2(e21,e21) = e20
& ( e20 != op2(e21,e21)
| ( ( e20 != op2(e21,e20)
| e20 != op2(e20,e21) )
& ( e21 != op2(e21,e20)
| e21 != op2(e20,e21) )
& ( e22 != op2(e21,e20)
| e22 != op2(e20,e21) )
& ( e23 != op2(e21,e20)
| e23 != op2(e20,e21) ) ) ) )
| ~ sP68 ),
introduced(definition,[new_symbols(definition,[sP68])],[predicate_definition_introduction]) ).
fof(f94,definition,
( ( op2(e20,e20) = e23
& ( op2(e20,e20) != e23
| ( ( e20 != op2(e20,e23)
| e20 != op2(e23,e20) )
& ( e21 != op2(e20,e23)
| e21 != op2(e23,e20) )
& ( e22 != op2(e20,e23)
| e22 != op2(e23,e20) )
& ( e23 != op2(e20,e23)
| e23 != op2(e23,e20) ) ) ) )
| ~ sP69 ),
introduced(definition,[new_symbols(definition,[sP69])],[predicate_definition_introduction]) ).
fof(f95,definition,
( ( op2(e20,e20) = e22
& ( op2(e20,e20) != e22
| ( ( e20 != op2(e20,e22)
| e20 != op2(e22,e20) )
& ( e21 != op2(e20,e22)
| e21 != op2(e22,e20) )
& ( e22 != op2(e20,e22)
| e22 != op2(e22,e20) )
& ( e23 != op2(e20,e22)
| e23 != op2(e22,e20) ) ) ) )
| ~ sP70 ),
introduced(definition,[new_symbols(definition,[sP70])],[predicate_definition_introduction]) ).
fof(f96,definition,
( ( op2(e20,e20) = e21
& ( op2(e20,e20) != e21
| ( ( e20 != op2(e20,e21)
| e20 != op2(e21,e20) )
& ( e21 != op2(e20,e21)
| e21 != op2(e21,e20) )
& ( e22 != op2(e20,e21)
| e22 != op2(e21,e20) )
& ( e23 != op2(e20,e21)
| e23 != op2(e21,e20) ) ) ) )
| ~ sP71 ),
introduced(definition,[new_symbols(definition,[sP71])],[predicate_definition_introduction]) ).
fof(f97,definition,
( ( op2(e23,e23) = op2(e23,e23)
& op2(e23,e23) != op2(e23,e23)
& op2(e23,op2(e23,e23)) = e23 )
| ~ sP72 ),
introduced(definition,[new_symbols(definition,[sP72])],[predicate_definition_introduction]) ).
fof(f98,definition,
( ( op2(e22,e23) = op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,op2(e23,e22)) = e22 )
| ~ sP73 ),
introduced(definition,[new_symbols(definition,[sP73])],[predicate_definition_introduction]) ).
fof(f99,definition,
( ( op2(e21,e23) = op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,op2(e23,e21)) = e21 )
| ~ sP74 ),
introduced(definition,[new_symbols(definition,[sP74])],[predicate_definition_introduction]) ).
fof(f100,definition,
( ( op2(e20,e23) = op2(e23,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,op2(e23,e20)) = e20 )
| ~ sP75 ),
introduced(definition,[new_symbols(definition,[sP75])],[predicate_definition_introduction]) ).
fof(f101,definition,
( ( op2(e23,e22) = op2(e22,e23)
& op2(e23,e23) != op2(e22,e23)
& op2(e23,op2(e22,e23)) = e23 )
| ~ sP76 ),
introduced(definition,[new_symbols(definition,[sP76])],[predicate_definition_introduction]) ).
fof(f102,definition,
( ( op2(e22,e22) = op2(e22,e22)
& op2(e22,e22) != op2(e22,e22)
& op2(e22,op2(e22,e22)) = e22 )
| ~ sP77 ),
introduced(definition,[new_symbols(definition,[sP77])],[predicate_definition_introduction]) ).
fof(f103,definition,
( ( op2(e21,e22) = op2(e22,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,op2(e22,e21)) = e21 )
| ~ sP78 ),
introduced(definition,[new_symbols(definition,[sP78])],[predicate_definition_introduction]) ).
fof(f104,definition,
( ( op2(e20,e22) = op2(e22,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,op2(e22,e20)) = e20 )
| ~ sP79 ),
introduced(definition,[new_symbols(definition,[sP79])],[predicate_definition_introduction]) ).
fof(f105,definition,
( ( op2(e23,e21) = op2(e21,e23)
& op2(e23,e23) != op2(e21,e23)
& op2(e23,op2(e21,e23)) = e23 )
| ~ sP80 ),
introduced(definition,[new_symbols(definition,[sP80])],[predicate_definition_introduction]) ).
fof(f106,definition,
( ( op2(e22,e21) = op2(e21,e22)
& op2(e22,e22) != op2(e21,e22)
& op2(e22,op2(e21,e22)) = e22 )
| ~ sP81 ),
introduced(definition,[new_symbols(definition,[sP81])],[predicate_definition_introduction]) ).
fof(f107,definition,
( ( op2(e21,e21) = op2(e21,e21)
& op2(e21,e21) != op2(e21,e21)
& op2(e21,op2(e21,e21)) = e21 )
| ~ sP82 ),
introduced(definition,[new_symbols(definition,[sP82])],[predicate_definition_introduction]) ).
fof(f108,definition,
( ( op2(e20,e21) = op2(e21,e20)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,op2(e21,e20)) = e20 )
| ~ sP83 ),
introduced(definition,[new_symbols(definition,[sP83])],[predicate_definition_introduction]) ).
fof(f109,definition,
( ( op2(e23,e20) = op2(e20,e23)
& op2(e23,e23) != op2(e20,e23)
& op2(e23,op2(e20,e23)) = e23 )
| ~ sP84 ),
introduced(definition,[new_symbols(definition,[sP84])],[predicate_definition_introduction]) ).
fof(f110,definition,
( ( op2(e22,e20) = op2(e20,e22)
& op2(e22,e22) != op2(e20,e22)
& op2(e22,op2(e20,e22)) = e22 )
| ~ sP85 ),
introduced(definition,[new_symbols(definition,[sP85])],[predicate_definition_introduction]) ).
fof(f111,definition,
( ( op2(e21,e20) = op2(e20,e21)
& op2(e21,e21) != op2(e20,e21)
& op2(e21,op2(e20,e21)) = e21 )
| ~ sP86 ),
introduced(definition,[new_symbols(definition,[sP86])],[predicate_definition_introduction]) ).
fof(f112,definition,
( ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e20,e23) != e20
& op2(e21,e23) != e21
& op2(e22,e23) != e22
& op2(e23,e23) != e23 )
| ~ sP87 ),
introduced(definition,[new_symbols(definition,[sP87])],[predicate_definition_introduction]) ).
fof(f113,definition,
( ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e20,e23) != e20
& op2(e21,e23) != e21
& op2(e22,e23) != e22
& op2(e23,e23) != e23 )
| ~ sP88 ),
introduced(definition,[new_symbols(definition,[sP88])],[predicate_definition_introduction]) ).
fof(f114,definition,
( ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e20,e23) != e20
& op2(e21,e23) != e21
& op2(e22,e23) != e22
& op2(e23,e23) != e23 )
| ~ sP89 ),
introduced(definition,[new_symbols(definition,[sP89])],[predicate_definition_introduction]) ).
fof(f115,definition,
( ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e23) != e20
& op2(e21,e23) != e21
& op2(e22,e23) != e22
& op2(e23,e23) != e23 )
| ~ sP90 ),
introduced(definition,[new_symbols(definition,[sP90])],[predicate_definition_introduction]) ).
fof(f116,definition,
( ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e20,e22) != e20
& op2(e21,e22) != e21
& op2(e22,e22) != e22
& op2(e23,e22) != e23 )
| ~ sP91 ),
introduced(definition,[new_symbols(definition,[sP91])],[predicate_definition_introduction]) ).
fof(f117,definition,
( ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e20,e22) != e20
& op2(e21,e22) != e21
& op2(e22,e22) != e22
& op2(e23,e22) != e23 )
| ~ sP92 ),
introduced(definition,[new_symbols(definition,[sP92])],[predicate_definition_introduction]) ).
fof(f118,definition,
( ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e22) != e20
& op2(e21,e22) != e21
& op2(e22,e22) != e22
& op2(e23,e22) != e23 )
| ~ sP93 ),
introduced(definition,[new_symbols(definition,[sP93])],[predicate_definition_introduction]) ).
fof(f119,definition,
( ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e22) != e20
& op2(e21,e22) != e21
& op2(e22,e22) != e22
& op2(e23,e22) != e23 )
| ~ sP94 ),
introduced(definition,[new_symbols(definition,[sP94])],[predicate_definition_introduction]) ).
fof(f120,definition,
( ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e21) != e20
& op2(e21,e21) != e21
& op2(e22,e21) != e22
& op2(e23,e21) != e23 )
| ~ sP95 ),
introduced(definition,[new_symbols(definition,[sP95])],[predicate_definition_introduction]) ).
fof(f121,definition,
( ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e20,e21) != e20
& op2(e21,e21) != e21
& op2(e22,e21) != e22
& op2(e23,e21) != e23 )
| ~ sP96 ),
introduced(definition,[new_symbols(definition,[sP96])],[predicate_definition_introduction]) ).
fof(f122,definition,
( ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e20,e21) != e20
& op2(e21,e21) != e21
& op2(e22,e21) != e22
& op2(e23,e21) != e23 )
| ~ sP97 ),
introduced(definition,[new_symbols(definition,[sP97])],[predicate_definition_introduction]) ).
fof(f123,definition,
( ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e21) != e20
& op2(e21,e21) != e21
& op2(e22,e21) != e22
& op2(e23,e21) != e23 )
| ~ sP98 ),
introduced(definition,[new_symbols(definition,[sP98])],[predicate_definition_introduction]) ).
fof(f124,definition,
( ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e20) != e21
& op2(e22,e20) != e22
& op2(e23,e20) != e23 )
| ~ sP99 ),
introduced(definition,[new_symbols(definition,[sP99])],[predicate_definition_introduction]) ).
fof(f125,definition,
( ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e20) != e21
& op2(e22,e20) != e22
& op2(e23,e20) != e23 )
| ~ sP100 ),
introduced(definition,[new_symbols(definition,[sP100])],[predicate_definition_introduction]) ).
fof(f126,definition,
( ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e20) != e21
& op2(e22,e20) != e22
& op2(e23,e20) != e23 )
| ~ sP101 ),
introduced(definition,[new_symbols(definition,[sP101])],[predicate_definition_introduction]) ).
fof(f127,plain,
( ( ( op2(e20,e20) = e20
& op2(e20,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e20) != e21
& op2(e22,e20) != e22
& op2(e23,e20) != e23 )
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87 )
& ( ( op2(e20,e20) = op2(e20,e20)
& op2(e20,e20) != op2(e20,e20)
& op2(e20,op2(e20,e20)) = e20 )
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72 )
& ( ( op2(e20,e20) = e20
& ( e20 != op2(e20,e20)
| ( ( e20 != op2(e20,e20)
| e20 != op2(e20,e20) )
& ( op2(e20,e20) != e21
| op2(e20,e20) != e21 )
& ( op2(e20,e20) != e22
| op2(e20,e20) != e22 )
& ( op2(e20,e20) != e23
| op2(e20,e20) != e23 ) ) ) )
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57 ) ),
inference(definition_folding,[],[f22,f126,f125,f124,f123,f122,f121,f120,f119,f118,f117,f116,f115,f114,f113,f112,f111,f110,f109,f108,f107,f106,f105,f104,f103,f102,f101,f100,f99,f98,f97,f96,f95,f94,f93,f92,f91,f90,f89,f88,f87,f86,f85,f84,f83,f82]) ).
fof(f128,plain,
( ( e21 != h1(e10)
& e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13) )
| ~ sP11 ),
inference(nnf_transformation,[],[f34]) ).
fof(f129,plain,
( ( e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e12)
& e22 != h1(e13) )
| ~ sP10 ),
inference(nnf_transformation,[],[f33]) ).
fof(f130,plain,
( ( e23 != h1(e10)
& e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e13) )
| ~ sP9 ),
inference(nnf_transformation,[],[f32]) ).
fof(f140,plain,
( ( op1(e10,e11) = e10
& op1(e11,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e10) != e11
& op1(e12,e10) != e12
& op1(e13,e10) != e13 )
| ~ sP56 ),
inference(nnf_transformation,[],[f80]) ).
fof(f141,plain,
( ( op1(e10,e12) = e10
& op1(e12,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e10) != e11
& op1(e12,e10) != e12
& op1(e13,e10) != e13 )
| ~ sP55 ),
inference(nnf_transformation,[],[f79]) ).
fof(f142,plain,
( ( op1(e10,e13) = e10
& op1(e13,e10) = e10
& op1(e10,e10) != e10
& op1(e11,e10) != e11
& op1(e12,e10) != e12
& op1(e13,e10) != e13 )
| ~ sP54 ),
inference(nnf_transformation,[],[f78]) ).
fof(f143,plain,
( ( op1(e11,e10) = e11
& op1(e10,e11) = e11
& op1(e10,e11) != e10
& op1(e11,e11) != e11
& op1(e12,e11) != e12
& op1(e13,e11) != e13 )
| ~ sP53 ),
inference(nnf_transformation,[],[f77]) ).
fof(f144,plain,
( ( op1(e11,e11) = e11
& op1(e11,e11) = e11
& op1(e10,e11) != e10
& op1(e11,e11) != e11
& op1(e12,e11) != e12
& op1(e13,e11) != e13 )
| ~ sP52 ),
inference(nnf_transformation,[],[f76]) ).
fof(f145,plain,
( ( op1(e11,e12) = e11
& op1(e12,e11) = e11
& op1(e10,e11) != e10
& op1(e11,e11) != e11
& op1(e12,e11) != e12
& op1(e13,e11) != e13 )
| ~ sP51 ),
inference(nnf_transformation,[],[f75]) ).
fof(f146,plain,
( ( op1(e11,e13) = e11
& op1(e13,e11) = e11
& op1(e10,e11) != e10
& op1(e11,e11) != e11
& op1(e12,e11) != e12
& op1(e13,e11) != e13 )
| ~ sP50 ),
inference(nnf_transformation,[],[f74]) ).
fof(f147,plain,
( ( op1(e12,e10) = e12
& op1(e10,e12) = e12
& op1(e10,e12) != e10
& op1(e11,e12) != e11
& op1(e12,e12) != e12
& op1(e13,e12) != e13 )
| ~ sP49 ),
inference(nnf_transformation,[],[f73]) ).
fof(f148,plain,
( ( op1(e12,e11) = e12
& op1(e11,e12) = e12
& op1(e10,e12) != e10
& op1(e11,e12) != e11
& op1(e12,e12) != e12
& op1(e13,e12) != e13 )
| ~ sP48 ),
inference(nnf_transformation,[],[f72]) ).
fof(f149,plain,
( ( op1(e12,e12) = e12
& op1(e12,e12) = e12
& op1(e10,e12) != e10
& op1(e11,e12) != e11
& op1(e12,e12) != e12
& op1(e13,e12) != e13 )
| ~ sP47 ),
inference(nnf_transformation,[],[f71]) ).
fof(f150,plain,
( ( op1(e12,e13) = e12
& op1(e13,e12) = e12
& op1(e10,e12) != e10
& op1(e11,e12) != e11
& op1(e12,e12) != e12
& op1(e13,e12) != e13 )
| ~ sP46 ),
inference(nnf_transformation,[],[f70]) ).
fof(f151,plain,
( ( op1(e13,e10) = e13
& op1(e10,e13) = e13
& op1(e10,e13) != e10
& op1(e11,e13) != e11
& op1(e12,e13) != e12
& op1(e13,e13) != e13 )
| ~ sP45 ),
inference(nnf_transformation,[],[f69]) ).
fof(f152,plain,
( ( op1(e13,e11) = e13
& op1(e11,e13) = e13
& op1(e10,e13) != e10
& op1(e11,e13) != e11
& op1(e12,e13) != e12
& op1(e13,e13) != e13 )
| ~ sP44 ),
inference(nnf_transformation,[],[f68]) ).
fof(f153,plain,
( ( op1(e13,e12) = e13
& op1(e12,e13) = e13
& op1(e10,e13) != e10
& op1(e11,e13) != e11
& op1(e12,e13) != e12
& op1(e13,e13) != e13 )
| ~ sP43 ),
inference(nnf_transformation,[],[f67]) ).
fof(f154,plain,
( ( op1(e13,e13) = e13
& op1(e13,e13) = e13
& op1(e10,e13) != e10
& op1(e11,e13) != e11
& op1(e12,e13) != e12
& op1(e13,e13) != e13 )
| ~ sP42 ),
inference(nnf_transformation,[],[f66]) ).
fof(f155,plain,
( ( op1(e11,e10) = op1(e10,e11)
& op1(e11,e11) != op1(e10,e11)
& op1(e11,op1(e10,e11)) = e11 )
| ~ sP41 ),
inference(nnf_transformation,[],[f65]) ).
fof(f156,plain,
( ( op1(e12,e10) = op1(e10,e12)
& op1(e12,e12) != op1(e10,e12)
& op1(e12,op1(e10,e12)) = e12 )
| ~ sP40 ),
inference(nnf_transformation,[],[f64]) ).
fof(f157,plain,
( ( op1(e13,e10) = op1(e10,e13)
& op1(e13,e13) != op1(e10,e13)
& op1(e13,op1(e10,e13)) = e13 )
| ~ sP39 ),
inference(nnf_transformation,[],[f63]) ).
fof(f158,plain,
( ( op1(e10,e11) = op1(e11,e10)
& op1(e10,e10) != op1(e11,e10)
& op1(e10,op1(e11,e10)) = e10 )
| ~ sP38 ),
inference(nnf_transformation,[],[f62]) ).
fof(f159,plain,
( ( op1(e11,e11) = op1(e11,e11)
& op1(e11,e11) != op1(e11,e11)
& op1(e11,op1(e11,e11)) = e11 )
| ~ sP37 ),
inference(nnf_transformation,[],[f61]) ).
fof(f160,plain,
( ( op1(e12,e11) = op1(e11,e12)
& op1(e12,e12) != op1(e11,e12)
& op1(e12,op1(e11,e12)) = e12 )
| ~ sP36 ),
inference(nnf_transformation,[],[f60]) ).
fof(f161,plain,
( ( op1(e13,e11) = op1(e11,e13)
& op1(e13,e13) != op1(e11,e13)
& op1(e13,op1(e11,e13)) = e13 )
| ~ sP35 ),
inference(nnf_transformation,[],[f59]) ).
fof(f162,plain,
( ( op1(e10,e12) = op1(e12,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,op1(e12,e10)) = e10 )
| ~ sP34 ),
inference(nnf_transformation,[],[f58]) ).
fof(f163,plain,
( ( op1(e11,e12) = op1(e12,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,op1(e12,e11)) = e11 )
| ~ sP33 ),
inference(nnf_transformation,[],[f57]) ).
fof(f164,plain,
( ( op1(e12,e12) = op1(e12,e12)
& op1(e12,e12) != op1(e12,e12)
& op1(e12,op1(e12,e12)) = e12 )
| ~ sP32 ),
inference(nnf_transformation,[],[f56]) ).
fof(f165,plain,
( ( op1(e13,e12) = op1(e12,e13)
& op1(e13,e13) != op1(e12,e13)
& op1(e13,op1(e12,e13)) = e13 )
| ~ sP31 ),
inference(nnf_transformation,[],[f55]) ).
fof(f166,plain,
( ( op1(e10,e13) = op1(e13,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e10,op1(e13,e10)) = e10 )
| ~ sP30 ),
inference(nnf_transformation,[],[f54]) ).
fof(f167,plain,
( ( op1(e11,e13) = op1(e13,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e11,op1(e13,e11)) = e11 )
| ~ sP29 ),
inference(nnf_transformation,[],[f53]) ).
fof(f168,plain,
( ( op1(e12,e13) = op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e12,op1(e13,e12)) = e12 )
| ~ sP28 ),
inference(nnf_transformation,[],[f52]) ).
fof(f169,plain,
( ( op1(e13,e13) = op1(e13,e13)
& op1(e13,e13) != op1(e13,e13)
& op1(e13,op1(e13,e13)) = e13 )
| ~ sP27 ),
inference(nnf_transformation,[],[f51]) ).
fof(f170,plain,
( ( op1(e10,e10) = e11
& ( op1(e10,e10) != e11
| ( ( e10 != op1(e10,e11)
| e10 != op1(e11,e10) )
& ( e11 != op1(e10,e11)
| e11 != op1(e11,e10) )
& ( e12 != op1(e10,e11)
| e12 != op1(e11,e10) )
& ( e13 != op1(e10,e11)
| e13 != op1(e11,e10) ) ) ) )
| ~ sP26 ),
inference(nnf_transformation,[],[f50]) ).
fof(f171,plain,
( ( op1(e10,e10) = e12
& ( op1(e10,e10) != e12
| ( ( e10 != op1(e10,e12)
| e10 != op1(e12,e10) )
& ( e11 != op1(e10,e12)
| e11 != op1(e12,e10) )
& ( e12 != op1(e10,e12)
| e12 != op1(e12,e10) )
& ( e13 != op1(e10,e12)
| e13 != op1(e12,e10) ) ) ) )
| ~ sP25 ),
inference(nnf_transformation,[],[f49]) ).
fof(f172,plain,
( ( op1(e10,e10) = e13
& ( op1(e10,e10) != e13
| ( ( e10 != op1(e10,e13)
| e10 != op1(e13,e10) )
& ( e11 != op1(e10,e13)
| e11 != op1(e13,e10) )
& ( e12 != op1(e10,e13)
| e12 != op1(e13,e10) )
& ( e13 != op1(e10,e13)
| e13 != op1(e13,e10) ) ) ) )
| ~ sP24 ),
inference(nnf_transformation,[],[f48]) ).
fof(f173,plain,
( ( op1(e11,e11) = e10
& ( e10 != op1(e11,e11)
| ( ( e10 != op1(e11,e10)
| e10 != op1(e10,e11) )
& ( e11 != op1(e11,e10)
| e11 != op1(e10,e11) )
& ( e12 != op1(e11,e10)
| e12 != op1(e10,e11) )
& ( e13 != op1(e11,e10)
| e13 != op1(e10,e11) ) ) ) )
| ~ sP23 ),
inference(nnf_transformation,[],[f47]) ).
fof(f174,plain,
( ( op1(e11,e11) = e11
& ( e11 != op1(e11,e11)
| ( ( e10 != op1(e11,e11)
| e10 != op1(e11,e11) )
& ( e11 != op1(e11,e11)
| e11 != op1(e11,e11) )
& ( e12 != op1(e11,e11)
| e12 != op1(e11,e11) )
& ( e13 != op1(e11,e11)
| e13 != op1(e11,e11) ) ) ) )
| ~ sP22 ),
inference(nnf_transformation,[],[f46]) ).
fof(f175,plain,
( ( op1(e11,e11) = e12
& ( e12 != op1(e11,e11)
| ( ( e10 != op1(e11,e12)
| e10 != op1(e12,e11) )
& ( e11 != op1(e11,e12)
| e11 != op1(e12,e11) )
& ( e12 != op1(e11,e12)
| e12 != op1(e12,e11) )
& ( e13 != op1(e11,e12)
| e13 != op1(e12,e11) ) ) ) )
| ~ sP21 ),
inference(nnf_transformation,[],[f45]) ).
fof(f176,plain,
( ( op1(e11,e11) = e13
& ( e13 != op1(e11,e11)
| ( ( e10 != op1(e11,e13)
| e10 != op1(e13,e11) )
& ( e11 != op1(e11,e13)
| e11 != op1(e13,e11) )
& ( e12 != op1(e11,e13)
| e12 != op1(e13,e11) )
& ( e13 != op1(e11,e13)
| e13 != op1(e13,e11) ) ) ) )
| ~ sP20 ),
inference(nnf_transformation,[],[f44]) ).
fof(f177,plain,
( ( op1(e12,e12) = e10
& ( e10 != op1(e12,e12)
| ( ( e10 != op1(e12,e10)
| e10 != op1(e10,e12) )
& ( e11 != op1(e12,e10)
| e11 != op1(e10,e12) )
& ( e12 != op1(e12,e10)
| e12 != op1(e10,e12) )
& ( e13 != op1(e12,e10)
| e13 != op1(e10,e12) ) ) ) )
| ~ sP19 ),
inference(nnf_transformation,[],[f43]) ).
fof(f178,plain,
( ( op1(e12,e12) = e11
& ( e11 != op1(e12,e12)
| ( ( e10 != op1(e12,e11)
| e10 != op1(e11,e12) )
& ( e11 != op1(e12,e11)
| e11 != op1(e11,e12) )
& ( e12 != op1(e12,e11)
| e12 != op1(e11,e12) )
& ( e13 != op1(e12,e11)
| e13 != op1(e11,e12) ) ) ) )
| ~ sP18 ),
inference(nnf_transformation,[],[f42]) ).
fof(f179,plain,
( ( op1(e12,e12) = e12
& ( e12 != op1(e12,e12)
| ( ( e10 != op1(e12,e12)
| e10 != op1(e12,e12) )
& ( e11 != op1(e12,e12)
| e11 != op1(e12,e12) )
& ( e12 != op1(e12,e12)
| e12 != op1(e12,e12) )
& ( e13 != op1(e12,e12)
| e13 != op1(e12,e12) ) ) ) )
| ~ sP17 ),
inference(nnf_transformation,[],[f41]) ).
fof(f180,plain,
( ( op1(e12,e12) = e13
& ( e13 != op1(e12,e12)
| ( ( e10 != op1(e12,e13)
| e10 != op1(e13,e12) )
& ( e11 != op1(e12,e13)
| e11 != op1(e13,e12) )
& ( e12 != op1(e12,e13)
| e12 != op1(e13,e12) )
& ( e13 != op1(e12,e13)
| e13 != op1(e13,e12) ) ) ) )
| ~ sP16 ),
inference(nnf_transformation,[],[f40]) ).
fof(f181,plain,
( ( op1(e13,e13) = e10
& ( e10 != op1(e13,e13)
| ( ( e10 != op1(e13,e10)
| e10 != op1(e10,e13) )
& ( e11 != op1(e13,e10)
| e11 != op1(e10,e13) )
& ( e12 != op1(e13,e10)
| e12 != op1(e10,e13) )
& ( e13 != op1(e13,e10)
| e13 != op1(e10,e13) ) ) ) )
| ~ sP15 ),
inference(nnf_transformation,[],[f39]) ).
fof(f182,plain,
( ( op1(e13,e13) = e11
& ( e11 != op1(e13,e13)
| ( ( e10 != op1(e13,e11)
| e10 != op1(e11,e13) )
& ( e11 != op1(e13,e11)
| e11 != op1(e11,e13) )
& ( e12 != op1(e13,e11)
| e12 != op1(e11,e13) )
& ( e13 != op1(e13,e11)
| e13 != op1(e11,e13) ) ) ) )
| ~ sP14 ),
inference(nnf_transformation,[],[f38]) ).
fof(f183,plain,
( ( op1(e13,e13) = e12
& ( e12 != op1(e13,e13)
| ( ( e10 != op1(e13,e12)
| e10 != op1(e12,e13) )
& ( e11 != op1(e13,e12)
| e11 != op1(e12,e13) )
& ( e12 != op1(e13,e12)
| e12 != op1(e12,e13) )
& ( e13 != op1(e13,e12)
| e13 != op1(e12,e13) ) ) ) )
| ~ sP13 ),
inference(nnf_transformation,[],[f37]) ).
fof(f184,plain,
( ( op1(e13,e13) = e13
& ( e13 != op1(e13,e13)
| ( ( e10 != op1(e13,e13)
| e10 != op1(e13,e13) )
& ( e11 != op1(e13,e13)
| e11 != op1(e13,e13) )
& ( e12 != op1(e13,e13)
| e12 != op1(e13,e13) )
& ( e13 != op1(e13,e13)
| e13 != op1(e13,e13) ) ) ) )
| ~ sP12 ),
inference(nnf_transformation,[],[f36]) ).
fof(f185,plain,
( ( op2(e20,e21) = e20
& op2(e21,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e20) != e21
& op2(e22,e20) != e22
& op2(e23,e20) != e23 )
| ~ sP101 ),
inference(nnf_transformation,[],[f126]) ).
fof(f186,plain,
( ( op2(e20,e22) = e20
& op2(e22,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e20) != e21
& op2(e22,e20) != e22
& op2(e23,e20) != e23 )
| ~ sP100 ),
inference(nnf_transformation,[],[f125]) ).
fof(f187,plain,
( ( op2(e20,e23) = e20
& op2(e23,e20) = e20
& op2(e20,e20) != e20
& op2(e21,e20) != e21
& op2(e22,e20) != e22
& op2(e23,e20) != e23 )
| ~ sP99 ),
inference(nnf_transformation,[],[f124]) ).
fof(f188,plain,
( ( op2(e21,e20) = e21
& op2(e20,e21) = e21
& op2(e20,e21) != e20
& op2(e21,e21) != e21
& op2(e22,e21) != e22
& op2(e23,e21) != e23 )
| ~ sP98 ),
inference(nnf_transformation,[],[f123]) ).
fof(f189,plain,
( ( op2(e21,e21) = e21
& op2(e21,e21) = e21
& op2(e20,e21) != e20
& op2(e21,e21) != e21
& op2(e22,e21) != e22
& op2(e23,e21) != e23 )
| ~ sP97 ),
inference(nnf_transformation,[],[f122]) ).
fof(f190,plain,
( ( op2(e21,e22) = e21
& op2(e22,e21) = e21
& op2(e20,e21) != e20
& op2(e21,e21) != e21
& op2(e22,e21) != e22
& op2(e23,e21) != e23 )
| ~ sP96 ),
inference(nnf_transformation,[],[f121]) ).
fof(f191,plain,
( ( op2(e21,e23) = e21
& op2(e23,e21) = e21
& op2(e20,e21) != e20
& op2(e21,e21) != e21
& op2(e22,e21) != e22
& op2(e23,e21) != e23 )
| ~ sP95 ),
inference(nnf_transformation,[],[f120]) ).
fof(f192,plain,
( ( op2(e22,e20) = e22
& op2(e20,e22) = e22
& op2(e20,e22) != e20
& op2(e21,e22) != e21
& op2(e22,e22) != e22
& op2(e23,e22) != e23 )
| ~ sP94 ),
inference(nnf_transformation,[],[f119]) ).
fof(f193,plain,
( ( op2(e22,e21) = e22
& op2(e21,e22) = e22
& op2(e20,e22) != e20
& op2(e21,e22) != e21
& op2(e22,e22) != e22
& op2(e23,e22) != e23 )
| ~ sP93 ),
inference(nnf_transformation,[],[f118]) ).
fof(f194,plain,
( ( op2(e22,e22) = e22
& op2(e22,e22) = e22
& op2(e20,e22) != e20
& op2(e21,e22) != e21
& op2(e22,e22) != e22
& op2(e23,e22) != e23 )
| ~ sP92 ),
inference(nnf_transformation,[],[f117]) ).
fof(f195,plain,
( ( op2(e22,e23) = e22
& op2(e23,e22) = e22
& op2(e20,e22) != e20
& op2(e21,e22) != e21
& op2(e22,e22) != e22
& op2(e23,e22) != e23 )
| ~ sP91 ),
inference(nnf_transformation,[],[f116]) ).
fof(f196,plain,
( ( op2(e23,e20) = e23
& op2(e20,e23) = e23
& op2(e20,e23) != e20
& op2(e21,e23) != e21
& op2(e22,e23) != e22
& op2(e23,e23) != e23 )
| ~ sP90 ),
inference(nnf_transformation,[],[f115]) ).
fof(f197,plain,
( ( op2(e23,e21) = e23
& op2(e21,e23) = e23
& op2(e20,e23) != e20
& op2(e21,e23) != e21
& op2(e22,e23) != e22
& op2(e23,e23) != e23 )
| ~ sP89 ),
inference(nnf_transformation,[],[f114]) ).
fof(f198,plain,
( ( op2(e23,e22) = e23
& op2(e22,e23) = e23
& op2(e20,e23) != e20
& op2(e21,e23) != e21
& op2(e22,e23) != e22
& op2(e23,e23) != e23 )
| ~ sP88 ),
inference(nnf_transformation,[],[f113]) ).
fof(f199,plain,
( ( op2(e23,e23) = e23
& op2(e23,e23) = e23
& op2(e20,e23) != e20
& op2(e21,e23) != e21
& op2(e22,e23) != e22
& op2(e23,e23) != e23 )
| ~ sP87 ),
inference(nnf_transformation,[],[f112]) ).
fof(f200,plain,
( ( op2(e21,e20) = op2(e20,e21)
& op2(e21,e21) != op2(e20,e21)
& op2(e21,op2(e20,e21)) = e21 )
| ~ sP86 ),
inference(nnf_transformation,[],[f111]) ).
fof(f201,plain,
( ( op2(e22,e20) = op2(e20,e22)
& op2(e22,e22) != op2(e20,e22)
& op2(e22,op2(e20,e22)) = e22 )
| ~ sP85 ),
inference(nnf_transformation,[],[f110]) ).
fof(f202,plain,
( ( op2(e23,e20) = op2(e20,e23)
& op2(e23,e23) != op2(e20,e23)
& op2(e23,op2(e20,e23)) = e23 )
| ~ sP84 ),
inference(nnf_transformation,[],[f109]) ).
fof(f203,plain,
( ( op2(e20,e21) = op2(e21,e20)
& op2(e20,e20) != op2(e21,e20)
& op2(e20,op2(e21,e20)) = e20 )
| ~ sP83 ),
inference(nnf_transformation,[],[f108]) ).
fof(f204,plain,
( ( op2(e21,e21) = op2(e21,e21)
& op2(e21,e21) != op2(e21,e21)
& op2(e21,op2(e21,e21)) = e21 )
| ~ sP82 ),
inference(nnf_transformation,[],[f107]) ).
fof(f205,plain,
( ( op2(e22,e21) = op2(e21,e22)
& op2(e22,e22) != op2(e21,e22)
& op2(e22,op2(e21,e22)) = e22 )
| ~ sP81 ),
inference(nnf_transformation,[],[f106]) ).
fof(f206,plain,
( ( op2(e23,e21) = op2(e21,e23)
& op2(e23,e23) != op2(e21,e23)
& op2(e23,op2(e21,e23)) = e23 )
| ~ sP80 ),
inference(nnf_transformation,[],[f105]) ).
fof(f207,plain,
( ( op2(e20,e22) = op2(e22,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,op2(e22,e20)) = e20 )
| ~ sP79 ),
inference(nnf_transformation,[],[f104]) ).
fof(f208,plain,
( ( op2(e21,e22) = op2(e22,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,op2(e22,e21)) = e21 )
| ~ sP78 ),
inference(nnf_transformation,[],[f103]) ).
fof(f209,plain,
( ( op2(e22,e22) = op2(e22,e22)
& op2(e22,e22) != op2(e22,e22)
& op2(e22,op2(e22,e22)) = e22 )
| ~ sP77 ),
inference(nnf_transformation,[],[f102]) ).
fof(f210,plain,
( ( op2(e23,e22) = op2(e22,e23)
& op2(e23,e23) != op2(e22,e23)
& op2(e23,op2(e22,e23)) = e23 )
| ~ sP76 ),
inference(nnf_transformation,[],[f101]) ).
fof(f211,plain,
( ( op2(e20,e23) = op2(e23,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e20,op2(e23,e20)) = e20 )
| ~ sP75 ),
inference(nnf_transformation,[],[f100]) ).
fof(f212,plain,
( ( op2(e21,e23) = op2(e23,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e21,op2(e23,e21)) = e21 )
| ~ sP74 ),
inference(nnf_transformation,[],[f99]) ).
fof(f213,plain,
( ( op2(e22,e23) = op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e22,op2(e23,e22)) = e22 )
| ~ sP73 ),
inference(nnf_transformation,[],[f98]) ).
fof(f214,plain,
( ( op2(e23,e23) = op2(e23,e23)
& op2(e23,e23) != op2(e23,e23)
& op2(e23,op2(e23,e23)) = e23 )
| ~ sP72 ),
inference(nnf_transformation,[],[f97]) ).
fof(f215,plain,
( ( op2(e20,e20) = e21
& ( op2(e20,e20) != e21
| ( ( e20 != op2(e20,e21)
| e20 != op2(e21,e20) )
& ( e21 != op2(e20,e21)
| e21 != op2(e21,e20) )
& ( e22 != op2(e20,e21)
| e22 != op2(e21,e20) )
& ( e23 != op2(e20,e21)
| e23 != op2(e21,e20) ) ) ) )
| ~ sP71 ),
inference(nnf_transformation,[],[f96]) ).
fof(f216,plain,
( ( op2(e20,e20) = e22
& ( op2(e20,e20) != e22
| ( ( e20 != op2(e20,e22)
| e20 != op2(e22,e20) )
& ( e21 != op2(e20,e22)
| e21 != op2(e22,e20) )
& ( e22 != op2(e20,e22)
| e22 != op2(e22,e20) )
& ( e23 != op2(e20,e22)
| e23 != op2(e22,e20) ) ) ) )
| ~ sP70 ),
inference(nnf_transformation,[],[f95]) ).
fof(f217,plain,
( ( op2(e20,e20) = e23
& ( op2(e20,e20) != e23
| ( ( e20 != op2(e20,e23)
| e20 != op2(e23,e20) )
& ( e21 != op2(e20,e23)
| e21 != op2(e23,e20) )
& ( e22 != op2(e20,e23)
| e22 != op2(e23,e20) )
& ( e23 != op2(e20,e23)
| e23 != op2(e23,e20) ) ) ) )
| ~ sP69 ),
inference(nnf_transformation,[],[f94]) ).
fof(f218,plain,
( ( op2(e21,e21) = e20
& ( e20 != op2(e21,e21)
| ( ( e20 != op2(e21,e20)
| e20 != op2(e20,e21) )
& ( e21 != op2(e21,e20)
| e21 != op2(e20,e21) )
& ( e22 != op2(e21,e20)
| e22 != op2(e20,e21) )
& ( e23 != op2(e21,e20)
| e23 != op2(e20,e21) ) ) ) )
| ~ sP68 ),
inference(nnf_transformation,[],[f93]) ).
fof(f219,plain,
( ( op2(e21,e21) = e21
& ( e21 != op2(e21,e21)
| ( ( e20 != op2(e21,e21)
| e20 != op2(e21,e21) )
& ( e21 != op2(e21,e21)
| e21 != op2(e21,e21) )
& ( e22 != op2(e21,e21)
| e22 != op2(e21,e21) )
& ( e23 != op2(e21,e21)
| e23 != op2(e21,e21) ) ) ) )
| ~ sP67 ),
inference(nnf_transformation,[],[f92]) ).
fof(f220,plain,
( ( op2(e21,e21) = e22
& ( e22 != op2(e21,e21)
| ( ( e20 != op2(e21,e22)
| e20 != op2(e22,e21) )
& ( e21 != op2(e21,e22)
| e21 != op2(e22,e21) )
& ( e22 != op2(e21,e22)
| e22 != op2(e22,e21) )
& ( e23 != op2(e21,e22)
| e23 != op2(e22,e21) ) ) ) )
| ~ sP66 ),
inference(nnf_transformation,[],[f91]) ).
fof(f221,plain,
( ( op2(e21,e21) = e23
& ( e23 != op2(e21,e21)
| ( ( e20 != op2(e21,e23)
| e20 != op2(e23,e21) )
& ( e21 != op2(e21,e23)
| e21 != op2(e23,e21) )
& ( e22 != op2(e21,e23)
| e22 != op2(e23,e21) )
& ( e23 != op2(e21,e23)
| e23 != op2(e23,e21) ) ) ) )
| ~ sP65 ),
inference(nnf_transformation,[],[f90]) ).
fof(f222,plain,
( ( op2(e22,e22) = e20
& ( e20 != op2(e22,e22)
| ( ( e20 != op2(e22,e20)
| e20 != op2(e20,e22) )
& ( e21 != op2(e22,e20)
| e21 != op2(e20,e22) )
& ( e22 != op2(e22,e20)
| e22 != op2(e20,e22) )
& ( e23 != op2(e22,e20)
| e23 != op2(e20,e22) ) ) ) )
| ~ sP64 ),
inference(nnf_transformation,[],[f89]) ).
fof(f223,plain,
( ( op2(e22,e22) = e21
& ( e21 != op2(e22,e22)
| ( ( e20 != op2(e22,e21)
| e20 != op2(e21,e22) )
& ( e21 != op2(e22,e21)
| e21 != op2(e21,e22) )
& ( e22 != op2(e22,e21)
| e22 != op2(e21,e22) )
& ( e23 != op2(e22,e21)
| e23 != op2(e21,e22) ) ) ) )
| ~ sP63 ),
inference(nnf_transformation,[],[f88]) ).
fof(f224,plain,
( ( op2(e22,e22) = e22
& ( e22 != op2(e22,e22)
| ( ( e20 != op2(e22,e22)
| e20 != op2(e22,e22) )
& ( e21 != op2(e22,e22)
| e21 != op2(e22,e22) )
& ( e22 != op2(e22,e22)
| e22 != op2(e22,e22) )
& ( e23 != op2(e22,e22)
| e23 != op2(e22,e22) ) ) ) )
| ~ sP62 ),
inference(nnf_transformation,[],[f87]) ).
fof(f225,plain,
( ( op2(e22,e22) = e23
& ( e23 != op2(e22,e22)
| ( ( e20 != op2(e22,e23)
| e20 != op2(e23,e22) )
& ( e21 != op2(e22,e23)
| e21 != op2(e23,e22) )
& ( e22 != op2(e22,e23)
| e22 != op2(e23,e22) )
& ( e23 != op2(e22,e23)
| e23 != op2(e23,e22) ) ) ) )
| ~ sP61 ),
inference(nnf_transformation,[],[f86]) ).
fof(f226,plain,
( ( op2(e23,e23) = e20
& ( e20 != op2(e23,e23)
| ( ( e20 != op2(e23,e20)
| e20 != op2(e20,e23) )
& ( e21 != op2(e23,e20)
| e21 != op2(e20,e23) )
& ( e22 != op2(e23,e20)
| e22 != op2(e20,e23) )
& ( e23 != op2(e23,e20)
| e23 != op2(e20,e23) ) ) ) )
| ~ sP60 ),
inference(nnf_transformation,[],[f85]) ).
fof(f227,plain,
( ( op2(e23,e23) = e21
& ( e21 != op2(e23,e23)
| ( ( e20 != op2(e23,e21)
| e20 != op2(e21,e23) )
& ( e21 != op2(e23,e21)
| e21 != op2(e21,e23) )
& ( e22 != op2(e23,e21)
| e22 != op2(e21,e23) )
& ( e23 != op2(e23,e21)
| e23 != op2(e21,e23) ) ) ) )
| ~ sP59 ),
inference(nnf_transformation,[],[f84]) ).
fof(f228,plain,
( ( op2(e23,e23) = e22
& ( e22 != op2(e23,e23)
| ( ( e20 != op2(e23,e22)
| e20 != op2(e22,e23) )
& ( e21 != op2(e23,e22)
| e21 != op2(e22,e23) )
& ( e22 != op2(e23,e22)
| e22 != op2(e22,e23) )
& ( e23 != op2(e23,e22)
| e23 != op2(e22,e23) ) ) ) )
| ~ sP58 ),
inference(nnf_transformation,[],[f83]) ).
fof(f229,plain,
( ( op2(e23,e23) = e23
& ( e23 != op2(e23,e23)
| ( ( e20 != op2(e23,e23)
| e20 != op2(e23,e23) )
& ( e21 != op2(e23,e23)
| e21 != op2(e23,e23) )
& ( e22 != op2(e23,e23)
| e22 != op2(e23,e23) )
& ( e23 != op2(e23,e23)
| e23 != op2(e23,e23) ) ) ) )
| ~ sP57 ),
inference(nnf_transformation,[],[f82]) ).
fof(f232,plain,
( e21 != h1(e11)
| ~ sP11 ),
inference(cnf_transformation,[],[f128]) ).
fof(f235,plain,
( e22 != h1(e12)
| ~ sP10 ),
inference(cnf_transformation,[],[f129]) ).
fof(f238,plain,
( e23 != h1(e13)
| ~ sP9 ),
inference(cnf_transformation,[],[f130]) ).
fof(f293,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)
| sP11
| sP10
| sP9 ),
inference(cnf_transformation,[],[f35]) ).
fof(f294,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f295,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f296,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f297,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f298,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f299,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f300,plain,
e13 = op1(e10,op1(e10,e10)),
inference(cnf_transformation,[],[f12]) ).
fof(f301,plain,
e12 = op1(op1(e10,op1(e10,e10)),e10),
inference(cnf_transformation,[],[f12]) ).
fof(f302,plain,
op1(e10,e10) = e11,
inference(cnf_transformation,[],[f12]) ).
fof(f308,plain,
( e10 = op1(e10,e11)
| ~ sP56 ),
inference(cnf_transformation,[],[f140]) ).
fof(f313,plain,
( e10 = op1(e12,e10)
| ~ sP55 ),
inference(cnf_transformation,[],[f141]) ).
fof(f314,plain,
( e10 = op1(e10,e12)
| ~ sP55 ),
inference(cnf_transformation,[],[f141]) ).
fof(f319,plain,
( e10 = op1(e13,e10)
| ~ sP54 ),
inference(cnf_transformation,[],[f142]) ).
fof(f325,plain,
( e11 = op1(e10,e11)
| ~ sP53 ),
inference(cnf_transformation,[],[f143]) ).
fof(f328,plain,
( e12 != op1(e12,e11)
| ~ sP52 ),
inference(cnf_transformation,[],[f144]) ).
fof(f329,plain,
( e11 != op1(e11,e11)
| ~ sP52 ),
inference(cnf_transformation,[],[f144]) ).
fof(f332,plain,
( e11 = op1(e11,e11)
| ~ sP52 ),
inference(cnf_transformation,[],[f144]) ).
fof(f334,plain,
( e12 != op1(e12,e11)
| ~ sP51 ),
inference(cnf_transformation,[],[f145]) ).
fof(f335,plain,
( e11 != op1(e11,e11)
| ~ sP51 ),
inference(cnf_transformation,[],[f145]) ).
fof(f337,plain,
( e11 = op1(e12,e11)
| ~ sP51 ),
inference(cnf_transformation,[],[f145]) ).
fof(f338,plain,
( e11 = op1(e11,e12)
| ~ sP51 ),
inference(cnf_transformation,[],[f145]) ).
fof(f340,plain,
( e12 != op1(e12,e11)
| ~ sP50 ),
inference(cnf_transformation,[],[f146]) ).
fof(f341,plain,
( e11 != op1(e11,e11)
| ~ sP50 ),
inference(cnf_transformation,[],[f146]) ).
fof(f343,plain,
( e11 = op1(e13,e11)
| ~ sP50 ),
inference(cnf_transformation,[],[f146]) ).
fof(f344,plain,
( e11 = op1(e11,e13)
| ~ sP50 ),
inference(cnf_transformation,[],[f146]) ).
fof(f350,plain,
( e12 = op1(e12,e10)
| ~ sP49 ),
inference(cnf_transformation,[],[f147]) ).
fof(f351,plain,
( e13 != op1(e13,e12)
| ~ sP48 ),
inference(cnf_transformation,[],[f148]) ).
fof(f352,plain,
( e12 != op1(e12,e12)
| ~ sP48 ),
inference(cnf_transformation,[],[f148]) ).
fof(f353,plain,
( e11 != op1(e11,e12)
| ~ sP48 ),
inference(cnf_transformation,[],[f148]) ).
fof(f354,plain,
( e10 != op1(e10,e12)
| ~ sP48 ),
inference(cnf_transformation,[],[f148]) ).
fof(f355,plain,
( e12 = op1(e11,e12)
| ~ sP48 ),
inference(cnf_transformation,[],[f148]) ).
fof(f356,plain,
( e12 = op1(e12,e11)
| ~ sP48 ),
inference(cnf_transformation,[],[f148]) ).
fof(f357,plain,
( e13 != op1(e13,e12)
| ~ sP47 ),
inference(cnf_transformation,[],[f149]) ).
fof(f358,plain,
( e12 != op1(e12,e12)
| ~ sP47 ),
inference(cnf_transformation,[],[f149]) ).
fof(f362,plain,
( e12 = op1(e12,e12)
| ~ sP47 ),
inference(cnf_transformation,[],[f149]) ).
fof(f363,plain,
( e13 != op1(e13,e12)
| ~ sP46 ),
inference(cnf_transformation,[],[f150]) ).
fof(f367,plain,
( e12 = op1(e13,e12)
| ~ sP46 ),
inference(cnf_transformation,[],[f150]) ).
fof(f368,plain,
( e12 = op1(e12,e13)
| ~ sP46 ),
inference(cnf_transformation,[],[f150]) ).
fof(f374,plain,
( e13 = op1(e13,e10)
| ~ sP45 ),
inference(cnf_transformation,[],[f151]) ).
fof(f380,plain,
( e13 = op1(e13,e11)
| ~ sP44 ),
inference(cnf_transformation,[],[f152]) ).
fof(f381,plain,
( e13 != op1(e13,e13)
| ~ sP43 ),
inference(cnf_transformation,[],[f153]) ).
fof(f382,plain,
( e12 != op1(e12,e13)
| ~ sP43 ),
inference(cnf_transformation,[],[f153]) ).
fof(f383,plain,
( e11 != op1(e11,e13)
| ~ sP43 ),
inference(cnf_transformation,[],[f153]) ).
fof(f384,plain,
( e10 != op1(e10,e13)
| ~ sP43 ),
inference(cnf_transformation,[],[f153]) ).
fof(f385,plain,
( e13 = op1(e12,e13)
| ~ sP43 ),
inference(cnf_transformation,[],[f153]) ).
fof(f386,plain,
( e13 = op1(e13,e12)
| ~ sP43 ),
inference(cnf_transformation,[],[f153]) ).
fof(f387,plain,
( e13 != op1(e13,e13)
| ~ sP42 ),
inference(cnf_transformation,[],[f154]) ).
fof(f388,plain,
( e12 != op1(e12,e13)
| ~ sP42 ),
inference(cnf_transformation,[],[f154]) ).
fof(f392,plain,
( e13 = op1(e13,e13)
| ~ sP42 ),
inference(cnf_transformation,[],[f154]) ).
fof(f395,plain,
( op1(e10,e11) = op1(e11,e10)
| ~ sP41 ),
inference(cnf_transformation,[],[f155]) ).
fof(f396,plain,
( e12 = op1(e12,op1(e10,e12))
| ~ sP40 ),
inference(cnf_transformation,[],[f156]) ).
fof(f401,plain,
( op1(e10,e13) = op1(e13,e10)
| ~ sP39 ),
inference(cnf_transformation,[],[f157]) ).
fof(f404,plain,
( op1(e10,e11) = op1(e11,e10)
| ~ sP38 ),
inference(cnf_transformation,[],[f158]) ).
fof(f406,plain,
( op1(e11,e11) != op1(e11,e11)
| ~ sP37 ),
inference(cnf_transformation,[],[f159]) ).
fof(f408,plain,
( e12 = op1(e12,op1(e11,e12))
| ~ sP36 ),
inference(cnf_transformation,[],[f160]) ).
fof(f410,plain,
( op1(e11,e12) = op1(e12,e11)
| ~ sP36 ),
inference(cnf_transformation,[],[f160]) ).
fof(f411,plain,
( e13 = op1(e13,op1(e11,e13))
| ~ sP35 ),
inference(cnf_transformation,[],[f161]) ).
fof(f413,plain,
( op1(e11,e13) = op1(e13,e11)
| ~ sP35 ),
inference(cnf_transformation,[],[f161]) ).
fof(f416,plain,
( op1(e10,e12) = op1(e12,e10)
| ~ sP34 ),
inference(cnf_transformation,[],[f162]) ).
fof(f417,plain,
( e11 = op1(e11,op1(e12,e11))
| ~ sP33 ),
inference(cnf_transformation,[],[f163]) ).
fof(f421,plain,
( op1(e12,e12) != op1(e12,e12)
| ~ sP32 ),
inference(cnf_transformation,[],[f164]) ).
fof(f425,plain,
( op1(e12,e13) = op1(e13,e12)
| ~ sP31 ),
inference(cnf_transformation,[],[f165]) ).
fof(f428,plain,
( op1(e10,e13) = op1(e13,e10)
| ~ sP30 ),
inference(cnf_transformation,[],[f166]) ).
fof(f429,plain,
( e11 = op1(e11,op1(e13,e11))
| ~ sP29 ),
inference(cnf_transformation,[],[f167]) ).
fof(f434,plain,
( op1(e12,e13) = op1(e13,e12)
| ~ sP28 ),
inference(cnf_transformation,[],[f168]) ).
fof(f436,plain,
( op1(e13,e13) != op1(e13,e13)
| ~ sP27 ),
inference(cnf_transformation,[],[f169]) ).
fof(f438,plain,
( op1(e10,e10) != e11
| e13 != op1(e10,e11)
| e13 != op1(e11,e10)
| ~ sP26 ),
inference(cnf_transformation,[],[f170]) ).
fof(f447,plain,
( op1(e10,e10) = e12
| ~ sP25 ),
inference(cnf_transformation,[],[f171]) ).
fof(f452,plain,
( op1(e10,e10) = e13
| ~ sP24 ),
inference(cnf_transformation,[],[f172]) ).
fof(f453,plain,
( e10 != op1(e11,e11)
| e13 != op1(e11,e10)
| e13 != op1(e10,e11)
| ~ sP23 ),
inference(cnf_transformation,[],[f173]) ).
fof(f457,plain,
( e10 = op1(e11,e11)
| ~ sP23 ),
inference(cnf_transformation,[],[f173]) ).
fof(f460,plain,
( e11 != op1(e11,e11)
| e11 != op1(e11,e11)
| e11 != op1(e11,e11)
| ~ sP22 ),
inference(cnf_transformation,[],[f174]) ).
fof(f462,plain,
( e11 = op1(e11,e11)
| ~ sP22 ),
inference(cnf_transformation,[],[f174]) ).
fof(f465,plain,
( e12 != op1(e11,e11)
| e11 != op1(e11,e12)
| e11 != op1(e12,e11)
| ~ sP21 ),
inference(cnf_transformation,[],[f175]) ).
fof(f467,plain,
( e12 = op1(e11,e11)
| ~ sP21 ),
inference(cnf_transformation,[],[f175]) ).
fof(f472,plain,
( e13 = op1(e11,e11)
| ~ sP20 ),
inference(cnf_transformation,[],[f176]) ).
fof(f477,plain,
( e10 = op1(e12,e12)
| ~ sP19 ),
inference(cnf_transformation,[],[f177]) ).
fof(f479,plain,
( e11 != op1(e12,e12)
| e12 != op1(e12,e11)
| e12 != op1(e11,e12)
| ~ sP18 ),
inference(cnf_transformation,[],[f178]) ).
fof(f482,plain,
( e11 = op1(e12,e12)
| ~ sP18 ),
inference(cnf_transformation,[],[f178]) ).
fof(f484,plain,
( e12 != op1(e12,e12)
| e12 != op1(e12,e12)
| e12 != op1(e12,e12)
| ~ sP17 ),
inference(cnf_transformation,[],[f179]) ).
fof(f487,plain,
( e12 = op1(e12,e12)
| ~ sP17 ),
inference(cnf_transformation,[],[f179]) ).
fof(f490,plain,
( e13 != op1(e12,e12)
| e11 != op1(e12,e13)
| e11 != op1(e13,e12)
| ~ sP16 ),
inference(cnf_transformation,[],[f180]) ).
fof(f492,plain,
( e13 = op1(e12,e12)
| ~ sP16 ),
inference(cnf_transformation,[],[f180]) ).
fof(f494,plain,
( e10 != op1(e13,e13)
| e12 != op1(e13,e10)
| e12 != op1(e10,e13)
| ~ sP15 ),
inference(cnf_transformation,[],[f181]) ).
fof(f497,plain,
( e10 = op1(e13,e13)
| ~ sP15 ),
inference(cnf_transformation,[],[f181]) ).
fof(f501,plain,
( e11 != op1(e13,e13)
| e10 != op1(e13,e11)
| e10 != op1(e11,e13)
| ~ sP14 ),
inference(cnf_transformation,[],[f182]) ).
fof(f502,plain,
( e11 = op1(e13,e13)
| ~ sP14 ),
inference(cnf_transformation,[],[f182]) ).
fof(f507,plain,
( e12 = op1(e13,e13)
| ~ sP13 ),
inference(cnf_transformation,[],[f183]) ).
fof(f508,plain,
( e13 != op1(e13,e13)
| e13 != op1(e13,e13)
| e13 != op1(e13,e13)
| ~ sP12 ),
inference(cnf_transformation,[],[f184]) ).
fof(f512,plain,
( e13 = op1(e13,e13)
| ~ sP12 ),
inference(cnf_transformation,[],[f184]) ).
fof(f517,plain,
( e10 = op1(e10,e10)
| sP26
| sP25
| sP24
| sP23
| sP22
| sP21
| sP20
| sP19
| sP18
| sP17
| sP16
| sP15
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f81]) ).
fof(f519,plain,
( op1(e10,e10) != op1(e10,e10)
| sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ),
inference(cnf_transformation,[],[f81]) ).
fof(f525,plain,
( e10 = op1(e10,e10)
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42 ),
inference(cnf_transformation,[],[f81]) ).
fof(f526,plain,
( e10 = op1(e10,e10)
| sP56
| sP55
| sP54
| sP53
| sP52
| sP51
| sP50
| sP49
| sP48
| sP47
| sP46
| sP45
| sP44
| sP43
| sP42 ),
inference(cnf_transformation,[],[f81]) ).
fof(f575,plain,
( e13 = op1(e10,e13)
| e13 = op1(e11,e13)
| e13 = op1(e12,e13)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f576,plain,
( e13 = op1(e13,e10)
| e13 = op1(e13,e11)
| e13 = op1(e13,e12)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f577,plain,
( e12 = op1(e10,e13)
| e12 = op1(e11,e13)
| e12 = op1(e12,e13)
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f579,plain,
( e11 = op1(e10,e13)
| e11 = op1(e11,e13)
| e11 = op1(e12,e13)
| e11 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f580,plain,
( e11 = op1(e13,e10)
| e11 = op1(e13,e11)
| e11 = op1(e13,e12)
| e11 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f581,plain,
( e10 = op1(e10,e13)
| e10 = op1(e11,e13)
| e10 = op1(e12,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f582,plain,
( e10 = op1(e13,e10)
| e10 = op1(e13,e11)
| e10 = op1(e13,e12)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f583,plain,
( e13 = op1(e10,e12)
| e13 = op1(e11,e12)
| e13 = op1(e12,e12)
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f584,plain,
( e13 = op1(e12,e10)
| e13 = op1(e12,e11)
| e13 = op1(e12,e12)
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f585,plain,
( e12 = op1(e10,e12)
| e12 = op1(e11,e12)
| e12 = op1(e12,e12)
| e12 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f586,plain,
( e12 = op1(e12,e10)
| e12 = op1(e12,e11)
| e12 = op1(e12,e12)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f587,plain,
( e11 = op1(e10,e12)
| e11 = op1(e11,e12)
| e11 = op1(e12,e12)
| e11 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f588,plain,
( e11 = op1(e12,e10)
| e11 = op1(e12,e11)
| e11 = op1(e12,e12)
| e11 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f589,plain,
( e10 = op1(e10,e12)
| e10 = op1(e11,e12)
| e10 = op1(e12,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f590,plain,
( e10 = op1(e12,e10)
| e10 = op1(e12,e11)
| e10 = op1(e12,e12)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f592,plain,
( e13 = op1(e11,e10)
| e13 = op1(e11,e11)
| e13 = op1(e11,e12)
| e13 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f593,plain,
( e12 = op1(e10,e11)
| e12 = op1(e11,e11)
| e12 = op1(e12,e11)
| e12 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f595,plain,
( e11 = op1(e10,e11)
| e11 = op1(e11,e11)
| e11 = op1(e12,e11)
| e11 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f596,plain,
( e11 = op1(e11,e10)
| e11 = op1(e11,e11)
| e11 = op1(e11,e12)
| e11 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f597,plain,
( e10 = op1(e10,e11)
| e10 = op1(e11,e11)
| e10 = op1(e12,e11)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f598,plain,
( e10 = op1(e11,e10)
| e10 = op1(e11,e11)
| e10 = op1(e11,e12)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f599,plain,
( op1(e10,e10) = e13
| e13 = op1(e11,e10)
| e13 = op1(e12,e10)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f602,plain,
( op1(e10,e10) = e12
| e12 = op1(e10,e11)
| e12 = op1(e10,e12)
| e12 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f605,plain,
( e10 = op1(e10,e10)
| e10 = op1(e11,e10)
| e10 = op1(e12,e10)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f606,plain,
( e10 = op1(e10,e10)
| e10 = op1(e10,e11)
| e10 = op1(e10,e12)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f611,plain,
( e10 = op1(e12,e13)
| e11 = op1(e12,e13)
| e12 = op1(e12,e13)
| e13 = op1(e12,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f613,plain,
( e10 = op1(e12,e11)
| e11 = op1(e12,e11)
| e12 = op1(e12,e11)
| e13 = op1(e12,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f623,plain,
e23 = op2(e20,op2(e20,e20)),
inference(cnf_transformation,[],[f13]) ).
fof(f624,plain,
e22 = op2(op2(e20,op2(e20,e20)),e20),
inference(cnf_transformation,[],[f13]) ).
fof(f625,plain,
op2(e20,e20) = e21,
inference(cnf_transformation,[],[f13]) ).
fof(f631,plain,
( e20 = op2(e20,e21)
| ~ sP101 ),
inference(cnf_transformation,[],[f185]) ).
fof(f636,plain,
( e20 = op2(e22,e20)
| ~ sP100 ),
inference(cnf_transformation,[],[f186]) ).
fof(f637,plain,
( e20 = op2(e20,e22)
| ~ sP100 ),
inference(cnf_transformation,[],[f186]) ).
fof(f642,plain,
( e20 = op2(e23,e20)
| ~ sP99 ),
inference(cnf_transformation,[],[f187]) ).
fof(f648,plain,
( e21 = op2(e20,e21)
| ~ sP98 ),
inference(cnf_transformation,[],[f188]) ).
fof(f651,plain,
( e22 != op2(e22,e21)
| ~ sP97 ),
inference(cnf_transformation,[],[f189]) ).
fof(f652,plain,
( e21 != op2(e21,e21)
| ~ sP97 ),
inference(cnf_transformation,[],[f189]) ).
fof(f655,plain,
( e21 = op2(e21,e21)
| ~ sP97 ),
inference(cnf_transformation,[],[f189]) ).
fof(f657,plain,
( e22 != op2(e22,e21)
| ~ sP96 ),
inference(cnf_transformation,[],[f190]) ).
fof(f660,plain,
( e21 = op2(e22,e21)
| ~ sP96 ),
inference(cnf_transformation,[],[f190]) ).
fof(f661,plain,
( e21 = op2(e21,e22)
| ~ sP96 ),
inference(cnf_transformation,[],[f190]) ).
fof(f663,plain,
( e22 != op2(e22,e21)
| ~ sP95 ),
inference(cnf_transformation,[],[f191]) ).
fof(f666,plain,
( e21 = op2(e23,e21)
| ~ sP95 ),
inference(cnf_transformation,[],[f191]) ).
fof(f667,plain,
( e21 = op2(e21,e23)
| ~ sP95 ),
inference(cnf_transformation,[],[f191]) ).
fof(f673,plain,
( e22 = op2(e22,e20)
| ~ sP94 ),
inference(cnf_transformation,[],[f192]) ).
fof(f674,plain,
( e23 != op2(e23,e22)
| ~ sP93 ),
inference(cnf_transformation,[],[f193]) ).
fof(f676,plain,
( e21 != op2(e21,e22)
| ~ sP93 ),
inference(cnf_transformation,[],[f193]) ).
fof(f677,plain,
( e20 != op2(e20,e22)
| ~ sP93 ),
inference(cnf_transformation,[],[f193]) ).
fof(f678,plain,
( e22 = op2(e21,e22)
| ~ sP93 ),
inference(cnf_transformation,[],[f193]) ).
fof(f679,plain,
( e22 = op2(e22,e21)
| ~ sP93 ),
inference(cnf_transformation,[],[f193]) ).
fof(f681,plain,
( e22 != op2(e22,e22)
| ~ sP92 ),
inference(cnf_transformation,[],[f194]) ).
fof(f683,plain,
( e20 != op2(e20,e22)
| ~ sP92 ),
inference(cnf_transformation,[],[f194]) ).
fof(f685,plain,
( e22 = op2(e22,e22)
| ~ sP92 ),
inference(cnf_transformation,[],[f194]) ).
fof(f686,plain,
( e23 != op2(e23,e22)
| ~ sP91 ),
inference(cnf_transformation,[],[f195]) ).
fof(f690,plain,
( e22 = op2(e23,e22)
| ~ sP91 ),
inference(cnf_transformation,[],[f195]) ).
fof(f697,plain,
( e23 = op2(e23,e20)
| ~ sP90 ),
inference(cnf_transformation,[],[f196]) ).
fof(f703,plain,
( e23 = op2(e23,e21)
| ~ sP89 ),
inference(cnf_transformation,[],[f197]) ).
fof(f705,plain,
( e22 != op2(e22,e23)
| ~ sP88 ),
inference(cnf_transformation,[],[f198]) ).
fof(f706,plain,
( e21 != op2(e21,e23)
| ~ sP88 ),
inference(cnf_transformation,[],[f198]) ).
fof(f707,plain,
( e20 != op2(e20,e23)
| ~ sP88 ),
inference(cnf_transformation,[],[f198]) ).
fof(f708,plain,
( e23 = op2(e22,e23)
| ~ sP88 ),
inference(cnf_transformation,[],[f198]) ).
fof(f709,plain,
( e23 = op2(e23,e22)
| ~ sP88 ),
inference(cnf_transformation,[],[f198]) ).
fof(f710,plain,
( e23 != op2(e23,e23)
| ~ sP87 ),
inference(cnf_transformation,[],[f199]) ).
fof(f715,plain,
( e23 = op2(e23,e23)
| ~ sP87 ),
inference(cnf_transformation,[],[f199]) ).
fof(f718,plain,
( op2(e20,e21) = op2(e21,e20)
| ~ sP86 ),
inference(cnf_transformation,[],[f200]) ).
fof(f721,plain,
( op2(e20,e22) = op2(e22,e20)
| ~ sP85 ),
inference(cnf_transformation,[],[f201]) ).
fof(f722,plain,
( e23 = op2(e23,op2(e20,e23))
| ~ sP84 ),
inference(cnf_transformation,[],[f202]) ).
fof(f725,plain,
( e20 = op2(e20,op2(e21,e20))
| ~ sP83 ),
inference(cnf_transformation,[],[f203]) ).
fof(f729,plain,
( op2(e21,e21) != op2(e21,e21)
| ~ sP82 ),
inference(cnf_transformation,[],[f204]) ).
fof(f731,plain,
( e22 = op2(e22,op2(e21,e22))
| ~ sP81 ),
inference(cnf_transformation,[],[f205]) ).
fof(f733,plain,
( op2(e21,e22) = op2(e22,e21)
| ~ sP81 ),
inference(cnf_transformation,[],[f205]) ).
fof(f734,plain,
( e23 = op2(e23,op2(e21,e23))
| ~ sP80 ),
inference(cnf_transformation,[],[f206]) ).
fof(f739,plain,
( op2(e20,e22) = op2(e22,e20)
| ~ sP79 ),
inference(cnf_transformation,[],[f207]) ).
fof(f740,plain,
( e21 = op2(e21,op2(e22,e21))
| ~ sP78 ),
inference(cnf_transformation,[],[f208]) ).
fof(f744,plain,
( op2(e22,e22) != op2(e22,e22)
| ~ sP77 ),
inference(cnf_transformation,[],[f209]) ).
fof(f746,plain,
( e23 = op2(e23,op2(e22,e23))
| ~ sP76 ),
inference(cnf_transformation,[],[f210]) ).
fof(f748,plain,
( op2(e22,e23) = op2(e23,e22)
| ~ sP76 ),
inference(cnf_transformation,[],[f210]) ).
fof(f751,plain,
( op2(e20,e23) = op2(e23,e20)
| ~ sP75 ),
inference(cnf_transformation,[],[f211]) ).
fof(f752,plain,
( e21 = op2(e21,op2(e23,e21))
| ~ sP74 ),
inference(cnf_transformation,[],[f212]) ).
fof(f755,plain,
( e22 = op2(e22,op2(e23,e22))
| ~ sP73 ),
inference(cnf_transformation,[],[f213]) ).
fof(f757,plain,
( op2(e22,e23) = op2(e23,e22)
| ~ sP73 ),
inference(cnf_transformation,[],[f213]) ).
fof(f759,plain,
( op2(e23,e23) != op2(e23,e23)
| ~ sP72 ),
inference(cnf_transformation,[],[f214]) ).
fof(f761,plain,
( op2(e20,e20) != e21
| e23 != op2(e20,e21)
| e23 != op2(e21,e20)
| ~ sP71 ),
inference(cnf_transformation,[],[f215]) ).
fof(f770,plain,
( op2(e20,e20) = e22
| ~ sP70 ),
inference(cnf_transformation,[],[f216]) ).
fof(f775,plain,
( op2(e20,e20) = e23
| ~ sP69 ),
inference(cnf_transformation,[],[f217]) ).
fof(f776,plain,
( e20 != op2(e21,e21)
| e23 != op2(e21,e20)
| e23 != op2(e20,e21)
| ~ sP68 ),
inference(cnf_transformation,[],[f218]) ).
fof(f780,plain,
( e20 = op2(e21,e21)
| ~ sP68 ),
inference(cnf_transformation,[],[f218]) ).
fof(f783,plain,
( e21 != op2(e21,e21)
| e21 != op2(e21,e21)
| e21 != op2(e21,e21)
| ~ sP67 ),
inference(cnf_transformation,[],[f219]) ).
fof(f785,plain,
( e21 = op2(e21,e21)
| ~ sP67 ),
inference(cnf_transformation,[],[f219]) ).
fof(f788,plain,
( e22 != op2(e21,e21)
| e21 != op2(e21,e22)
| e21 != op2(e22,e21)
| ~ sP66 ),
inference(cnf_transformation,[],[f220]) ).
fof(f790,plain,
( e22 = op2(e21,e21)
| ~ sP66 ),
inference(cnf_transformation,[],[f220]) ).
fof(f795,plain,
( e23 = op2(e21,e21)
| ~ sP65 ),
inference(cnf_transformation,[],[f221]) ).
fof(f800,plain,
( e20 = op2(e22,e22)
| ~ sP64 ),
inference(cnf_transformation,[],[f222]) ).
fof(f802,plain,
( e21 != op2(e22,e22)
| e22 != op2(e22,e21)
| e22 != op2(e21,e22)
| ~ sP63 ),
inference(cnf_transformation,[],[f223]) ).
fof(f805,plain,
( e21 = op2(e22,e22)
| ~ sP63 ),
inference(cnf_transformation,[],[f223]) ).
fof(f807,plain,
( e22 != op2(e22,e22)
| e22 != op2(e22,e22)
| e22 != op2(e22,e22)
| ~ sP62 ),
inference(cnf_transformation,[],[f224]) ).
fof(f810,plain,
( e22 = op2(e22,e22)
| ~ sP62 ),
inference(cnf_transformation,[],[f224]) ).
fof(f813,plain,
( e23 != op2(e22,e22)
| e21 != op2(e22,e23)
| e21 != op2(e23,e22)
| ~ sP61 ),
inference(cnf_transformation,[],[f225]) ).
fof(f815,plain,
( e23 = op2(e22,e22)
| ~ sP61 ),
inference(cnf_transformation,[],[f225]) ).
fof(f817,plain,
( e20 != op2(e23,e23)
| e22 != op2(e23,e20)
| e22 != op2(e20,e23)
| ~ sP60 ),
inference(cnf_transformation,[],[f226]) ).
fof(f820,plain,
( e20 = op2(e23,e23)
| ~ sP60 ),
inference(cnf_transformation,[],[f226]) ).
fof(f824,plain,
( e21 != op2(e23,e23)
| e20 != op2(e23,e21)
| e20 != op2(e21,e23)
| ~ sP59 ),
inference(cnf_transformation,[],[f227]) ).
fof(f825,plain,
( e21 = op2(e23,e23)
| ~ sP59 ),
inference(cnf_transformation,[],[f227]) ).
fof(f830,plain,
( e22 = op2(e23,e23)
| ~ sP58 ),
inference(cnf_transformation,[],[f228]) ).
fof(f831,plain,
( e23 != op2(e23,e23)
| e23 != op2(e23,e23)
| e23 != op2(e23,e23)
| ~ sP57 ),
inference(cnf_transformation,[],[f229]) ).
fof(f835,plain,
( e23 = op2(e23,e23)
| ~ sP57 ),
inference(cnf_transformation,[],[f229]) ).
fof(f840,plain,
( e20 = op2(e20,e20)
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57 ),
inference(cnf_transformation,[],[f127]) ).
fof(f842,plain,
( op2(e20,e20) != op2(e20,e20)
| sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72 ),
inference(cnf_transformation,[],[f127]) ).
fof(f849,plain,
( e20 = op2(e20,e20)
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87 ),
inference(cnf_transformation,[],[f127]) ).
fof(f866,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f867,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f868,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f869,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f870,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f871,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f872,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f878,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f882,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f889,plain,
op2(e21,e20) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f893,plain,
op2(e20,e20) != op2(e20,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f902,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f909,plain,
op2(e21,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f914,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f918,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f920,plain,
( e23 = op2(e20,e23)
| e23 = op2(e21,e23)
| e23 = op2(e22,e23)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f921,plain,
( e23 = op2(e23,e20)
| e23 = op2(e23,e21)
| e23 = op2(e23,e22)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f922,plain,
( e22 = op2(e20,e23)
| e22 = op2(e21,e23)
| e22 = op2(e22,e23)
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f924,plain,
( e21 = op2(e20,e23)
| e21 = op2(e21,e23)
| e21 = op2(e22,e23)
| e21 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f925,plain,
( e21 = op2(e23,e20)
| e21 = op2(e23,e21)
| e21 = op2(e23,e22)
| e21 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f926,plain,
( e20 = op2(e20,e23)
| e20 = op2(e21,e23)
| e20 = op2(e22,e23)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f927,plain,
( e20 = op2(e23,e20)
| e20 = op2(e23,e21)
| e20 = op2(e23,e22)
| e20 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f928,plain,
( e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e22,e22)
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f929,plain,
( e23 = op2(e22,e20)
| e23 = op2(e22,e21)
| e23 = op2(e22,e22)
| e23 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f930,plain,
( e22 = op2(e20,e22)
| e22 = op2(e21,e22)
| e22 = op2(e22,e22)
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f931,plain,
( e22 = op2(e22,e20)
| e22 = op2(e22,e21)
| e22 = op2(e22,e22)
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f932,plain,
( e21 = op2(e20,e22)
| e21 = op2(e21,e22)
| e21 = op2(e22,e22)
| e21 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f933,plain,
( e21 = op2(e22,e20)
| e21 = op2(e22,e21)
| e21 = op2(e22,e22)
| e21 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f934,plain,
( e20 = op2(e20,e22)
| e20 = op2(e21,e22)
| e20 = op2(e22,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f935,plain,
( e20 = op2(e22,e20)
| e20 = op2(e22,e21)
| e20 = op2(e22,e22)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f937,plain,
( e23 = op2(e21,e20)
| e23 = op2(e21,e21)
| e23 = op2(e21,e22)
| e23 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f938,plain,
( e22 = op2(e20,e21)
| e22 = op2(e21,e21)
| e22 = op2(e22,e21)
| e22 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f939,plain,
( e22 = op2(e21,e20)
| e22 = op2(e21,e21)
| e22 = op2(e21,e22)
| e22 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f940,plain,
( e21 = op2(e20,e21)
| e21 = op2(e21,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f941,plain,
( e21 = op2(e21,e20)
| e21 = op2(e21,e21)
| e21 = op2(e21,e22)
| e21 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f942,plain,
( e20 = op2(e20,e21)
| e20 = op2(e21,e21)
| e20 = op2(e22,e21)
| e20 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f943,plain,
( e20 = op2(e21,e20)
| e20 = op2(e21,e21)
| e20 = op2(e21,e22)
| e20 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f944,plain,
( op2(e20,e20) = e23
| e23 = op2(e21,e20)
| e23 = op2(e22,e20)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f947,plain,
( op2(e20,e20) = e22
| e22 = op2(e20,e21)
| e22 = op2(e20,e22)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f950,plain,
( e20 = op2(e20,e20)
| e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f951,plain,
( e20 = op2(e20,e20)
| e20 = op2(e20,e21)
| e20 = op2(e20,e22)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f953,plain,
( e20 = op2(e23,e22)
| e21 = op2(e23,e22)
| e22 = op2(e23,e22)
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f968,plain,
op2(e20,op2(e20,e20)) = h1(e13),
inference(cnf_transformation,[],[f14]) ).
fof(f969,plain,
op2(op2(e20,op2(e20,e20)),e20) = h1(e12),
inference(cnf_transformation,[],[f14]) ).
fof(f970,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f971,plain,
e20 = h1(e10),
inference(cnf_transformation,[],[f14]) ).
fof(f974,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f978,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f982,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f988,plain,
( sP86
| sP85
| sP84
| sP83
| sP82
| sP81
| sP80
| sP79
| sP78
| sP77
| sP76
| sP75
| sP74
| sP73
| sP72 ),
inference(trivial_inequality_removal,[],[f842]) ).
fof(f989,plain,
( e23 != op2(e23,e23)
| ~ sP57 ),
inference(duplicate_literal_removal,[],[f831]) ).
fof(f994,plain,
( e22 != op2(e22,e22)
| ~ sP62 ),
inference(duplicate_literal_removal,[],[f807]) ).
fof(f999,plain,
( e21 != op2(e21,e21)
| ~ sP67 ),
inference(duplicate_literal_removal,[],[f783]) ).
fof(f1001,plain,
~ sP72,
inference(trivial_inequality_removal,[],[f759]) ).
fof(f1002,plain,
~ sP77,
inference(trivial_inequality_removal,[],[f744]) ).
fof(f1003,plain,
~ sP82,
inference(trivial_inequality_removal,[],[f729]) ).
fof(f1008,plain,
( sP41
| sP40
| sP39
| sP38
| sP37
| sP36
| sP35
| sP34
| sP33
| sP32
| sP31
| sP30
| sP29
| sP28
| sP27 ),
inference(trivial_inequality_removal,[],[f519]) ).
fof(f1009,plain,
( e13 != op1(e13,e13)
| ~ sP12 ),
inference(duplicate_literal_removal,[],[f508]) ).
fof(f1014,plain,
( e12 != op1(e12,e12)
| ~ sP17 ),
inference(duplicate_literal_removal,[],[f484]) ).
fof(f1019,plain,
( e11 != op1(e11,e11)
| ~ sP22 ),
inference(duplicate_literal_removal,[],[f460]) ).
fof(f1021,plain,
~ sP27,
inference(trivial_inequality_removal,[],[f436]) ).
fof(f1022,plain,
~ sP32,
inference(trivial_inequality_removal,[],[f421]) ).
fof(f1023,plain,
~ sP37,
inference(trivial_inequality_removal,[],[f406]) ).
fof(f1027,plain,
h1(e12) = op2(h1(e13),e20),
inference(forward_demodulation,[],[f969,f968]) ).
fof(f1030,definition,
( spl102_1
<=> e23 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl102_1])],[avatar_definition]) ).
fof(f1031,plain,
( e23 != op2(e23,e22)
| spl102_1 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f1032,plain,
( e23 = op2(e23,e22)
| ~ spl102_1 ),
inference(avatar_component_clause,[],[f1030]) ).
fof(f1034,definition,
( spl102_2
<=> e22 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl102_2])],[avatar_definition]) ).
fof(f1036,plain,
( e22 = op2(e23,e22)
| ~ spl102_2 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1038,definition,
( spl102_3
<=> e21 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl102_3])],[avatar_definition]) ).
fof(f1040,plain,
( e21 = op2(e23,e22)
| ~ spl102_3 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f1042,definition,
( spl102_4
<=> e20 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl102_4])],[avatar_definition]) ).
fof(f1044,plain,
( e20 = op2(e23,e22)
| ~ spl102_4 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1045,plain,
( spl102_1
| spl102_2
| spl102_3
| spl102_4 ),
inference(avatar_split_clause,[],[f953,f1042,f1038,f1034,f1030]) ).
fof(f1047,definition,
( spl102_5
<=> e23 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl102_5])],[avatar_definition]) ).
fof(f1048,plain,
( e23 != op2(e23,e21)
| spl102_5 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f1049,plain,
( e23 = op2(e23,e21)
| ~ spl102_5 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f1051,definition,
( spl102_6
<=> e22 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl102_6])],[avatar_definition]) ).
fof(f1053,plain,
( e22 = op2(e23,e21)
| ~ spl102_6 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f1055,definition,
( spl102_7
<=> e21 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl102_7])],[avatar_definition]) ).
fof(f1057,plain,
( e21 = op2(e23,e21)
| ~ spl102_7 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f1059,definition,
( spl102_8
<=> e20 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl102_8])],[avatar_definition]) ).
fof(f1061,plain,
( e20 = op2(e23,e21)
| ~ spl102_8 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1064,definition,
( spl102_9
<=> e23 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl102_9])],[avatar_definition]) ).
fof(f1065,plain,
( e23 != op2(e23,e20)
| spl102_9 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1066,plain,
( e23 = op2(e23,e20)
| ~ spl102_9 ),
inference(avatar_component_clause,[],[f1064]) ).
fof(f1068,definition,
( spl102_10
<=> e22 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl102_10])],[avatar_definition]) ).
fof(f1070,plain,
( e22 = op2(e23,e20)
| ~ spl102_10 ),
inference(avatar_component_clause,[],[f1068]) ).
fof(f1072,definition,
( spl102_11
<=> e21 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl102_11])],[avatar_definition]) ).
fof(f1074,plain,
( e21 = op2(e23,e20)
| ~ spl102_11 ),
inference(avatar_component_clause,[],[f1072]) ).
fof(f1076,definition,
( spl102_12
<=> e20 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl102_12])],[avatar_definition]) ).
fof(f1078,plain,
( e20 = op2(e23,e20)
| ~ spl102_12 ),
inference(avatar_component_clause,[],[f1076]) ).
fof(f1081,definition,
( spl102_13
<=> e23 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl102_13])],[avatar_definition]) ).
fof(f1082,plain,
( e23 != op2(e22,e23)
| spl102_13 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f1083,plain,
( e23 = op2(e22,e23)
| ~ spl102_13 ),
inference(avatar_component_clause,[],[f1081]) ).
fof(f1085,definition,
( spl102_14
<=> e22 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl102_14])],[avatar_definition]) ).
fof(f1087,plain,
( e22 = op2(e22,e23)
| ~ spl102_14 ),
inference(avatar_component_clause,[],[f1085]) ).
fof(f1089,definition,
( spl102_15
<=> e21 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl102_15])],[avatar_definition]) ).
fof(f1091,plain,
( e21 = op2(e22,e23)
| ~ spl102_15 ),
inference(avatar_component_clause,[],[f1089]) ).
fof(f1093,definition,
( spl102_16
<=> e20 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl102_16])],[avatar_definition]) ).
fof(f1095,plain,
( e20 = op2(e22,e23)
| ~ spl102_16 ),
inference(avatar_component_clause,[],[f1093]) ).
fof(f1099,definition,
( spl102_17
<=> e23 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl102_17])],[avatar_definition]) ).
fof(f1101,plain,
( e23 = op2(e22,e21)
| ~ spl102_17 ),
inference(avatar_component_clause,[],[f1099]) ).
fof(f1103,definition,
( spl102_18
<=> e22 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl102_18])],[avatar_definition]) ).
fof(f1104,plain,
( e22 != op2(e22,e21)
| spl102_18 ),
inference(avatar_component_clause,[],[f1103]) ).
fof(f1105,plain,
( e22 = op2(e22,e21)
| ~ spl102_18 ),
inference(avatar_component_clause,[],[f1103]) ).
fof(f1107,definition,
( spl102_19
<=> e21 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl102_19])],[avatar_definition]) ).
fof(f1109,plain,
( e21 = op2(e22,e21)
| ~ spl102_19 ),
inference(avatar_component_clause,[],[f1107]) ).
fof(f1111,definition,
( spl102_20
<=> e20 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl102_20])],[avatar_definition]) ).
fof(f1113,plain,
( e20 = op2(e22,e21)
| ~ spl102_20 ),
inference(avatar_component_clause,[],[f1111]) ).
fof(f1116,definition,
( spl102_21
<=> e23 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl102_21])],[avatar_definition]) ).
fof(f1118,plain,
( e23 = op2(e22,e20)
| ~ spl102_21 ),
inference(avatar_component_clause,[],[f1116]) ).
fof(f1120,definition,
( spl102_22
<=> e22 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl102_22])],[avatar_definition]) ).
fof(f1121,plain,
( e22 != op2(e22,e20)
| spl102_22 ),
inference(avatar_component_clause,[],[f1120]) ).
fof(f1124,definition,
( spl102_23
<=> e21 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl102_23])],[avatar_definition]) ).
fof(f1126,plain,
( e21 = op2(e22,e20)
| ~ spl102_23 ),
inference(avatar_component_clause,[],[f1124]) ).
fof(f1128,definition,
( spl102_24
<=> e20 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl102_24])],[avatar_definition]) ).
fof(f1130,plain,
( e20 = op2(e22,e20)
| ~ spl102_24 ),
inference(avatar_component_clause,[],[f1128]) ).
fof(f1133,definition,
( spl102_25
<=> e23 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl102_25])],[avatar_definition]) ).
fof(f1135,plain,
( e23 = op2(e21,e23)
| ~ spl102_25 ),
inference(avatar_component_clause,[],[f1133]) ).
fof(f1137,definition,
( spl102_26
<=> e22 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl102_26])],[avatar_definition]) ).
fof(f1139,plain,
( e22 = op2(e21,e23)
| ~ spl102_26 ),
inference(avatar_component_clause,[],[f1137]) ).
fof(f1141,definition,
( spl102_27
<=> e21 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl102_27])],[avatar_definition]) ).
fof(f1143,plain,
( e21 = op2(e21,e23)
| ~ spl102_27 ),
inference(avatar_component_clause,[],[f1141]) ).
fof(f1145,definition,
( spl102_28
<=> e20 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl102_28])],[avatar_definition]) ).
fof(f1147,plain,
( e20 = op2(e21,e23)
| ~ spl102_28 ),
inference(avatar_component_clause,[],[f1145]) ).
fof(f1150,definition,
( spl102_29
<=> e23 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl102_29])],[avatar_definition]) ).
fof(f1152,plain,
( e23 = op2(e21,e22)
| ~ spl102_29 ),
inference(avatar_component_clause,[],[f1150]) ).
fof(f1154,definition,
( spl102_30
<=> e22 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl102_30])],[avatar_definition]) ).
fof(f1156,plain,
( e22 = op2(e21,e22)
| ~ spl102_30 ),
inference(avatar_component_clause,[],[f1154]) ).
fof(f1158,definition,
( spl102_31
<=> e21 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl102_31])],[avatar_definition]) ).
fof(f1160,plain,
( e21 = op2(e21,e22)
| ~ spl102_31 ),
inference(avatar_component_clause,[],[f1158]) ).
fof(f1162,definition,
( spl102_32
<=> e20 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl102_32])],[avatar_definition]) ).
fof(f1164,plain,
( e20 = op2(e21,e22)
| ~ spl102_32 ),
inference(avatar_component_clause,[],[f1162]) ).
fof(f1168,definition,
( spl102_33
<=> e23 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl102_33])],[avatar_definition]) ).
fof(f1170,plain,
( e23 = op2(e21,e20)
| ~ spl102_33 ),
inference(avatar_component_clause,[],[f1168]) ).
fof(f1172,definition,
( spl102_34
<=> e22 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl102_34])],[avatar_definition]) ).
fof(f1174,plain,
( e22 = op2(e21,e20)
| ~ spl102_34 ),
inference(avatar_component_clause,[],[f1172]) ).
fof(f1176,definition,
( spl102_35
<=> e21 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl102_35])],[avatar_definition]) ).
fof(f1178,plain,
( e21 = op2(e21,e20)
| ~ spl102_35 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f1180,definition,
( spl102_36
<=> e20 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl102_36])],[avatar_definition]) ).
fof(f1182,plain,
( e20 = op2(e21,e20)
| ~ spl102_36 ),
inference(avatar_component_clause,[],[f1180]) ).
fof(f1185,definition,
( spl102_37
<=> e23 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl102_37])],[avatar_definition]) ).
fof(f1187,plain,
( e23 = op2(e20,e23)
| ~ spl102_37 ),
inference(avatar_component_clause,[],[f1185]) ).
fof(f1189,definition,
( spl102_38
<=> e22 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl102_38])],[avatar_definition]) ).
fof(f1191,plain,
( e22 = op2(e20,e23)
| ~ spl102_38 ),
inference(avatar_component_clause,[],[f1189]) ).
fof(f1193,definition,
( spl102_39
<=> e21 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl102_39])],[avatar_definition]) ).
fof(f1195,plain,
( e21 = op2(e20,e23)
| ~ spl102_39 ),
inference(avatar_component_clause,[],[f1193]) ).
fof(f1197,definition,
( spl102_40
<=> e20 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl102_40])],[avatar_definition]) ).
fof(f1199,plain,
( e20 = op2(e20,e23)
| ~ spl102_40 ),
inference(avatar_component_clause,[],[f1197]) ).
fof(f1202,definition,
( spl102_41
<=> e23 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl102_41])],[avatar_definition]) ).
fof(f1203,plain,
( e23 != op2(e20,e22)
| spl102_41 ),
inference(avatar_component_clause,[],[f1202]) ).
fof(f1204,plain,
( e23 = op2(e20,e22)
| ~ spl102_41 ),
inference(avatar_component_clause,[],[f1202]) ).
fof(f1206,definition,
( spl102_42
<=> e22 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl102_42])],[avatar_definition]) ).
fof(f1208,plain,
( e22 = op2(e20,e22)
| ~ spl102_42 ),
inference(avatar_component_clause,[],[f1206]) ).
fof(f1210,definition,
( spl102_43
<=> e21 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl102_43])],[avatar_definition]) ).
fof(f1212,plain,
( e21 = op2(e20,e22)
| ~ spl102_43 ),
inference(avatar_component_clause,[],[f1210]) ).
fof(f1214,definition,
( spl102_44
<=> e20 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl102_44])],[avatar_definition]) ).
fof(f1216,plain,
( e20 = op2(e20,e22)
| ~ spl102_44 ),
inference(avatar_component_clause,[],[f1214]) ).
fof(f1219,definition,
( spl102_45
<=> e23 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl102_45])],[avatar_definition]) ).
fof(f1220,plain,
( e23 != op2(e20,e21)
| spl102_45 ),
inference(avatar_component_clause,[],[f1219]) ).
fof(f1221,plain,
( e23 = op2(e20,e21)
| ~ spl102_45 ),
inference(avatar_component_clause,[],[f1219]) ).
fof(f1223,definition,
( spl102_46
<=> e22 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl102_46])],[avatar_definition]) ).
fof(f1225,plain,
( e22 = op2(e20,e21)
| ~ spl102_46 ),
inference(avatar_component_clause,[],[f1223]) ).
fof(f1227,definition,
( spl102_47
<=> e21 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl102_47])],[avatar_definition]) ).
fof(f1229,plain,
( e21 = op2(e20,e21)
| ~ spl102_47 ),
inference(avatar_component_clause,[],[f1227]) ).
fof(f1231,definition,
( spl102_48
<=> e20 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl102_48])],[avatar_definition]) ).
fof(f1233,plain,
( e20 = op2(e20,e21)
| ~ spl102_48 ),
inference(avatar_component_clause,[],[f1231]) ).
fof(f1236,plain,
( e23 = h4(e11)
| e23 = op2(e20,e23)
| e23 = op2(e21,e23)
| e23 = op2(e22,e23) ),
inference(forward_demodulation,[],[f920,f982]) ).
fof(f1237,plain,
( e23 = h4(e11)
| e23 = op2(e23,e20)
| e23 = op2(e23,e21)
| e23 = op2(e23,e22) ),
inference(forward_demodulation,[],[f921,f982]) ).
fof(f1238,plain,
( e22 = h4(e11)
| e22 = op2(e20,e23)
| e22 = op2(e21,e23)
| e22 = op2(e22,e23) ),
inference(forward_demodulation,[],[f922,f982]) ).
fof(f1240,plain,
( e21 = h4(e11)
| e21 = op2(e20,e23)
| e21 = op2(e21,e23)
| e21 = op2(e22,e23) ),
inference(forward_demodulation,[],[f924,f982]) ).
fof(f1241,plain,
( e21 = h4(e11)
| e21 = op2(e23,e20)
| e21 = op2(e23,e21)
| e21 = op2(e23,e22) ),
inference(forward_demodulation,[],[f925,f982]) ).
fof(f1242,plain,
( e20 = h4(e11)
| e20 = op2(e20,e23)
| e20 = op2(e21,e23)
| e20 = op2(e22,e23) ),
inference(forward_demodulation,[],[f926,f982]) ).
fof(f1243,plain,
( e20 = h4(e11)
| e20 = op2(e23,e20)
| e20 = op2(e23,e21)
| e20 = op2(e23,e22) ),
inference(forward_demodulation,[],[f927,f982]) ).
fof(f1244,plain,
( e23 = h3(e11)
| e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e23,e22) ),
inference(forward_demodulation,[],[f928,f978]) ).
fof(f1245,plain,
( e23 = h3(e11)
| e23 = op2(e22,e20)
| e23 = op2(e22,e21)
| e23 = op2(e22,e23) ),
inference(forward_demodulation,[],[f929,f978]) ).
fof(f1246,plain,
( e22 = h3(e11)
| e22 = op2(e20,e22)
| e22 = op2(e21,e22)
| e22 = op2(e23,e22) ),
inference(forward_demodulation,[],[f930,f978]) ).
fof(f1247,plain,
( e22 = h3(e11)
| e22 = op2(e22,e20)
| e22 = op2(e22,e21)
| e22 = op2(e22,e23) ),
inference(forward_demodulation,[],[f931,f978]) ).
fof(f1248,plain,
( e21 = h3(e11)
| e21 = op2(e20,e22)
| e21 = op2(e21,e22)
| e21 = op2(e23,e22) ),
inference(forward_demodulation,[],[f932,f978]) ).
fof(f1249,plain,
( e21 = h3(e11)
| e21 = op2(e22,e20)
| e21 = op2(e22,e21)
| e21 = op2(e22,e23) ),
inference(forward_demodulation,[],[f933,f978]) ).
fof(f1250,plain,
( e20 = h3(e11)
| e20 = op2(e20,e22)
| e20 = op2(e21,e22)
| e20 = op2(e23,e22) ),
inference(forward_demodulation,[],[f934,f978]) ).
fof(f1251,plain,
( e20 = h3(e11)
| e20 = op2(e22,e20)
| e20 = op2(e22,e21)
| e20 = op2(e22,e23) ),
inference(forward_demodulation,[],[f935,f978]) ).
fof(f1253,plain,
( e23 = h2(e11)
| e23 = op2(e21,e20)
| e23 = op2(e21,e22)
| e23 = op2(e21,e23) ),
inference(forward_demodulation,[],[f937,f974]) ).
fof(f1254,plain,
( e22 = h2(e11)
| e22 = op2(e20,e21)
| e22 = op2(e22,e21)
| e22 = op2(e23,e21) ),
inference(forward_demodulation,[],[f938,f974]) ).
fof(f1255,plain,
( e22 = h2(e11)
| e22 = op2(e21,e20)
| e22 = op2(e21,e22)
| e22 = op2(e21,e23) ),
inference(forward_demodulation,[],[f939,f974]) ).
fof(f1256,plain,
( e21 = h2(e11)
| e21 = op2(e20,e21)
| e21 = op2(e22,e21)
| e21 = op2(e23,e21) ),
inference(forward_demodulation,[],[f940,f974]) ).
fof(f1257,plain,
( e21 = h2(e11)
| e21 = op2(e21,e20)
| e21 = op2(e21,e22)
| e21 = op2(e21,e23) ),
inference(forward_demodulation,[],[f941,f974]) ).
fof(f1258,plain,
( e20 = h2(e11)
| e20 = op2(e20,e21)
| e20 = op2(e22,e21)
| e20 = op2(e23,e21) ),
inference(forward_demodulation,[],[f942,f974]) ).
fof(f1259,plain,
( e20 = h2(e11)
| e20 = op2(e21,e20)
| e20 = op2(e21,e22)
| e20 = op2(e21,e23) ),
inference(forward_demodulation,[],[f943,f974]) ).
fof(f1260,plain,
( e23 = h1(e11)
| e23 = op2(e21,e20)
| e23 = op2(e22,e20)
| e23 = op2(e23,e20) ),
inference(forward_demodulation,[],[f944,f970]) ).
fof(f1263,plain,
( e22 = h1(e11)
| e22 = op2(e20,e21)
| e22 = op2(e20,e22)
| e22 = op2(e20,e23) ),
inference(forward_demodulation,[],[f947,f970]) ).
fof(f1266,plain,
( e20 = h1(e11)
| e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20) ),
inference(forward_demodulation,[],[f950,f970]) ).
fof(f1267,plain,
( e20 = h1(e11)
| e20 = op2(e20,e21)
| e20 = op2(e20,e22)
| e20 = op2(e20,e23) ),
inference(forward_demodulation,[],[f951,f970]) ).
fof(f1268,plain,
op2(e23,e22) != h4(e11),
inference(forward_demodulation,[],[f872,f982]) ).
fof(f1271,plain,
op2(e22,e23) != h3(e11),
inference(forward_demodulation,[],[f878,f978]) ).
fof(f1273,plain,
op2(e22,e20) != h3(e11),
inference(forward_demodulation,[],[f882,f978]) ).
fof(f1276,plain,
op2(e21,e20) != h2(e11),
inference(forward_demodulation,[],[f889,f974]) ).
fof(f1277,plain,
op2(e20,e23) != h1(e11),
inference(forward_demodulation,[],[f893,f970]) ).
fof(f1283,plain,
op2(e23,e22) != h3(e11),
inference(forward_demodulation,[],[f902,f978]) ).
fof(f1286,plain,
op2(e23,e21) != h2(e11),
inference(forward_demodulation,[],[f909,f974]) ).
fof(f1290,plain,
op2(e22,e20) != h1(e11),
inference(forward_demodulation,[],[f918,f970]) ).
fof(f1296,plain,
( e20 = h1(e11)
| sP71
| sP70
| sP69
| sP68
| sP67
| sP66
| sP65
| sP64
| sP63
| sP62
| sP61
| sP60
| sP59
| sP58
| sP57 ),
inference(forward_demodulation,[],[f840,f970]) ).
fof(f1299,definition,
( spl102_49
<=> sP72 ),
introduced(definition,[new_symbols(definition,[spl102_49])],[avatar_definition]) ).
fof(f1303,definition,
( spl102_50
<=> sP73 ),
introduced(definition,[new_symbols(definition,[spl102_50])],[avatar_definition]) ).
fof(f1307,definition,
( spl102_51
<=> sP74 ),
introduced(definition,[new_symbols(definition,[spl102_51])],[avatar_definition]) ).
fof(f1311,definition,
( spl102_52
<=> sP75 ),
introduced(definition,[new_symbols(definition,[spl102_52])],[avatar_definition]) ).
fof(f1315,definition,
( spl102_53
<=> sP76 ),
introduced(definition,[new_symbols(definition,[spl102_53])],[avatar_definition]) ).
fof(f1319,definition,
( spl102_54
<=> sP77 ),
introduced(definition,[new_symbols(definition,[spl102_54])],[avatar_definition]) ).
fof(f1323,definition,
( spl102_55
<=> sP78 ),
introduced(definition,[new_symbols(definition,[spl102_55])],[avatar_definition]) ).
fof(f1327,definition,
( spl102_56
<=> sP79 ),
introduced(definition,[new_symbols(definition,[spl102_56])],[avatar_definition]) ).
fof(f1331,definition,
( spl102_57
<=> sP80 ),
introduced(definition,[new_symbols(definition,[spl102_57])],[avatar_definition]) ).
fof(f1335,definition,
( spl102_58
<=> sP81 ),
introduced(definition,[new_symbols(definition,[spl102_58])],[avatar_definition]) ).
fof(f1339,definition,
( spl102_59
<=> sP82 ),
introduced(definition,[new_symbols(definition,[spl102_59])],[avatar_definition]) ).
fof(f1343,definition,
( spl102_60
<=> sP83 ),
introduced(definition,[new_symbols(definition,[spl102_60])],[avatar_definition]) ).
fof(f1347,definition,
( spl102_61
<=> sP84 ),
introduced(definition,[new_symbols(definition,[spl102_61])],[avatar_definition]) ).
fof(f1351,definition,
( spl102_62
<=> sP85 ),
introduced(definition,[new_symbols(definition,[spl102_62])],[avatar_definition]) ).
fof(f1355,definition,
( spl102_63
<=> sP86 ),
introduced(definition,[new_symbols(definition,[spl102_63])],[avatar_definition]) ).
fof(f1358,plain,
( spl102_49
| spl102_50
| spl102_51
| spl102_52
| spl102_53
| spl102_54
| spl102_55
| spl102_56
| spl102_57
| spl102_58
| spl102_59
| spl102_60
| spl102_61
| spl102_62
| spl102_63 ),
inference(avatar_split_clause,[],[f988,f1355,f1351,f1347,f1343,f1339,f1335,f1331,f1327,f1323,f1319,f1315,f1311,f1307,f1303,f1299]) ).
fof(f1360,definition,
( spl102_64
<=> sP87 ),
introduced(definition,[new_symbols(definition,[spl102_64])],[avatar_definition]) ).
fof(f1364,definition,
( spl102_65
<=> sP88 ),
introduced(definition,[new_symbols(definition,[spl102_65])],[avatar_definition]) ).
fof(f1368,definition,
( spl102_66
<=> sP89 ),
introduced(definition,[new_symbols(definition,[spl102_66])],[avatar_definition]) ).
fof(f1372,definition,
( spl102_67
<=> sP90 ),
introduced(definition,[new_symbols(definition,[spl102_67])],[avatar_definition]) ).
fof(f1376,definition,
( spl102_68
<=> sP91 ),
introduced(definition,[new_symbols(definition,[spl102_68])],[avatar_definition]) ).
fof(f1380,definition,
( spl102_69
<=> sP92 ),
introduced(definition,[new_symbols(definition,[spl102_69])],[avatar_definition]) ).
fof(f1384,definition,
( spl102_70
<=> sP93 ),
introduced(definition,[new_symbols(definition,[spl102_70])],[avatar_definition]) ).
fof(f1388,definition,
( spl102_71
<=> sP94 ),
introduced(definition,[new_symbols(definition,[spl102_71])],[avatar_definition]) ).
fof(f1392,definition,
( spl102_72
<=> sP95 ),
introduced(definition,[new_symbols(definition,[spl102_72])],[avatar_definition]) ).
fof(f1396,definition,
( spl102_73
<=> sP96 ),
introduced(definition,[new_symbols(definition,[spl102_73])],[avatar_definition]) ).
fof(f1400,definition,
( spl102_74
<=> sP97 ),
introduced(definition,[new_symbols(definition,[spl102_74])],[avatar_definition]) ).
fof(f1404,definition,
( spl102_75
<=> sP98 ),
introduced(definition,[new_symbols(definition,[spl102_75])],[avatar_definition]) ).
fof(f1408,definition,
( spl102_76
<=> sP99 ),
introduced(definition,[new_symbols(definition,[spl102_76])],[avatar_definition]) ).
fof(f1412,definition,
( spl102_77
<=> sP100 ),
introduced(definition,[new_symbols(definition,[spl102_77])],[avatar_definition]) ).
fof(f1416,definition,
( spl102_78
<=> sP101 ),
introduced(definition,[new_symbols(definition,[spl102_78])],[avatar_definition]) ).
fof(f1424,plain,
( e20 = h1(e11)
| sP101
| sP100
| sP99
| sP98
| sP97
| sP96
| sP95
| sP94
| sP93
| sP92
| sP91
| sP90
| sP89
| sP88
| sP87 ),
inference(forward_demodulation,[],[f849,f970]) ).
fof(f1425,plain,
( e23 != h4(e11)
| ~ sP57 ),
inference(forward_demodulation,[],[f989,f982]) ).
fof(f1429,plain,
( e23 = h4(e11)
| ~ sP57 ),
inference(forward_demodulation,[],[f835,f982]) ).
fof(f1434,plain,
( e22 = h4(e11)
| ~ sP58 ),
inference(forward_demodulation,[],[f830,f982]) ).
fof(f1438,plain,
( e21 != h4(e11)
| e20 != op2(e23,e21)
| e20 != op2(e21,e23)
| ~ sP59 ),
inference(forward_demodulation,[],[f824,f982]) ).
fof(f1439,plain,
( e21 = h4(e11)
| ~ sP59 ),
inference(forward_demodulation,[],[f825,f982]) ).
fof(f1441,plain,
( e20 != h4(e11)
| e22 != op2(e23,e20)
| e22 != op2(e20,e23)
| ~ sP60 ),
inference(forward_demodulation,[],[f817,f982]) ).
fof(f1444,plain,
( e20 = h4(e11)
| ~ sP60 ),
inference(forward_demodulation,[],[f820,f982]) ).
fof(f1447,plain,
( e23 != h3(e11)
| e21 != op2(e22,e23)
| e21 != op2(e23,e22)
| ~ sP61 ),
inference(forward_demodulation,[],[f813,f978]) ).
fof(f1449,plain,
( e23 = h3(e11)
| ~ sP61 ),
inference(forward_demodulation,[],[f815,f978]) ).
fof(f1451,plain,
( e22 != h3(e11)
| ~ sP62 ),
inference(forward_demodulation,[],[f994,f978]) ).
fof(f1454,plain,
( e22 = h3(e11)
| ~ sP62 ),
inference(forward_demodulation,[],[f810,f978]) ).
fof(f1456,plain,
( e21 != h3(e11)
| e22 != op2(e22,e21)
| e22 != op2(e21,e22)
| ~ sP63 ),
inference(forward_demodulation,[],[f802,f978]) ).
fof(f1459,plain,
( e21 = h3(e11)
| ~ sP63 ),
inference(forward_demodulation,[],[f805,f978]) ).
fof(f1464,plain,
( e20 = h3(e11)
| ~ sP64 ),
inference(forward_demodulation,[],[f800,f978]) ).
fof(f1469,plain,
( e23 = h2(e11)
| ~ sP65 ),
inference(forward_demodulation,[],[f795,f974]) ).
fof(f1472,plain,
( e22 != h2(e11)
| e21 != op2(e21,e22)
| e21 != op2(e22,e21)
| ~ sP66 ),
inference(forward_demodulation,[],[f788,f974]) ).
fof(f1474,plain,
( e22 = h2(e11)
| ~ sP66 ),
inference(forward_demodulation,[],[f790,f974]) ).
fof(f1477,plain,
( e21 != h2(e11)
| ~ sP67 ),
inference(forward_demodulation,[],[f999,f974]) ).
fof(f1479,plain,
( e21 = h2(e11)
| ~ sP67 ),
inference(forward_demodulation,[],[f785,f974]) ).
fof(f1480,plain,
( e20 != h2(e11)
| e23 != op2(e21,e20)
| e23 != op2(e20,e21)
| ~ sP68 ),
inference(forward_demodulation,[],[f776,f974]) ).
fof(f1484,plain,
( e20 = h2(e11)
| ~ sP68 ),
inference(forward_demodulation,[],[f780,f974]) ).
fof(f1489,plain,
( e23 = h1(e11)
| ~ sP69 ),
inference(forward_demodulation,[],[f775,f970]) ).
fof(f1494,plain,
( e22 = h1(e11)
| ~ sP70 ),
inference(forward_demodulation,[],[f770,f970]) ).
fof(f1495,plain,
( e21 != h1(e11)
| e23 != op2(e20,e21)
| e23 != op2(e21,e20)
| ~ sP71 ),
inference(forward_demodulation,[],[f761,f970]) ).
fof(f1501,plain,
~ spl102_49,
inference(avatar_split_clause,[],[f1001,f1299]) ).
fof(f1503,definition,
( spl102_79
<=> e22 = op2(e22,op2(e23,e22)) ),
introduced(definition,[new_symbols(definition,[spl102_79])],[avatar_definition]) ).
fof(f1505,plain,
( e22 = op2(e22,op2(e23,e22))
| ~ spl102_79 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f1506,plain,
( ~ spl102_50
| spl102_79 ),
inference(avatar_split_clause,[],[f755,f1503,f1303]) ).
fof(f1509,definition,
( spl102_80
<=> op2(e22,e23) = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl102_80])],[avatar_definition]) ).
fof(f1511,plain,
( op2(e22,e23) = op2(e23,e22)
| ~ spl102_80 ),
inference(avatar_component_clause,[],[f1509]) ).
fof(f1512,plain,
( ~ spl102_50
| spl102_80 ),
inference(avatar_split_clause,[],[f757,f1509,f1303]) ).
fof(f1514,definition,
( spl102_81
<=> e21 = op2(e21,op2(e23,e21)) ),
introduced(definition,[new_symbols(definition,[spl102_81])],[avatar_definition]) ).
fof(f1515,plain,
( e21 != op2(e21,op2(e23,e21))
| spl102_81 ),
inference(avatar_component_clause,[],[f1514]) ).
fof(f1516,plain,
( e21 = op2(e21,op2(e23,e21))
| ~ spl102_81 ),
inference(avatar_component_clause,[],[f1514]) ).
fof(f1517,plain,
( ~ spl102_51
| spl102_81 ),
inference(avatar_split_clause,[],[f752,f1514,f1307]) ).
fof(f1531,definition,
( spl102_84
<=> op2(e20,e23) = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl102_84])],[avatar_definition]) ).
fof(f1533,plain,
( op2(e20,e23) = op2(e23,e20)
| ~ spl102_84 ),
inference(avatar_component_clause,[],[f1531]) ).
fof(f1534,plain,
( ~ spl102_52
| spl102_84 ),
inference(avatar_split_clause,[],[f751,f1531,f1311]) ).
fof(f1536,definition,
( spl102_85
<=> e23 = op2(e23,op2(e22,e23)) ),
introduced(definition,[new_symbols(definition,[spl102_85])],[avatar_definition]) ).
fof(f1538,plain,
( e23 = op2(e23,op2(e22,e23))
| ~ spl102_85 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f1539,plain,
( ~ spl102_53
| spl102_85 ),
inference(avatar_split_clause,[],[f746,f1536,f1315]) ).
fof(f1541,plain,
( ~ spl102_53
| spl102_80 ),
inference(avatar_split_clause,[],[f748,f1509,f1315]) ).
fof(f1543,plain,
~ spl102_54,
inference(avatar_split_clause,[],[f1002,f1319]) ).
fof(f1545,definition,
( spl102_86
<=> e21 = op2(e21,op2(e22,e21)) ),
introduced(definition,[new_symbols(definition,[spl102_86])],[avatar_definition]) ).
fof(f1547,plain,
( e21 = op2(e21,op2(e22,e21))
| ~ spl102_86 ),
inference(avatar_component_clause,[],[f1545]) ).
fof(f1548,plain,
( ~ spl102_55
| spl102_86 ),
inference(avatar_split_clause,[],[f740,f1545,f1323]) ).
fof(f1551,definition,
( spl102_87
<=> op2(e21,e22) = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl102_87])],[avatar_definition]) ).
fof(f1553,plain,
( op2(e21,e22) = op2(e22,e21)
| ~ spl102_87 ),
inference(avatar_component_clause,[],[f1551]) ).
fof(f1562,definition,
( spl102_89
<=> op2(e20,e22) = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl102_89])],[avatar_definition]) ).
fof(f1564,plain,
( op2(e20,e22) = op2(e22,e20)
| ~ spl102_89 ),
inference(avatar_component_clause,[],[f1562]) ).
fof(f1565,plain,
( ~ spl102_56
| spl102_89 ),
inference(avatar_split_clause,[],[f739,f1562,f1327]) ).
fof(f1567,definition,
( spl102_90
<=> e23 = op2(e23,op2(e21,e23)) ),
introduced(definition,[new_symbols(definition,[spl102_90])],[avatar_definition]) ).
fof(f1569,plain,
( e23 = op2(e23,op2(e21,e23))
| ~ spl102_90 ),
inference(avatar_component_clause,[],[f1567]) ).
fof(f1570,plain,
( ~ spl102_57
| spl102_90 ),
inference(avatar_split_clause,[],[f734,f1567,f1331]) ).
fof(f1574,definition,
( spl102_91
<=> e22 = op2(e22,op2(e21,e22)) ),
introduced(definition,[new_symbols(definition,[spl102_91])],[avatar_definition]) ).
fof(f1576,plain,
( e22 = op2(e22,op2(e21,e22))
| ~ spl102_91 ),
inference(avatar_component_clause,[],[f1574]) ).
fof(f1577,plain,
( ~ spl102_58
| spl102_91 ),
inference(avatar_split_clause,[],[f731,f1574,f1335]) ).
fof(f1579,plain,
( ~ spl102_58
| spl102_87 ),
inference(avatar_split_clause,[],[f733,f1551,f1335]) ).
fof(f1581,plain,
~ spl102_59,
inference(avatar_split_clause,[],[f1003,f1339]) ).
fof(f1583,definition,
( spl102_92
<=> e20 = op2(e20,op2(e21,e20)) ),
introduced(definition,[new_symbols(definition,[spl102_92])],[avatar_definition]) ).
fof(f1585,plain,
( e20 = op2(e20,op2(e21,e20))
| ~ spl102_92 ),
inference(avatar_component_clause,[],[f1583]) ).
fof(f1586,plain,
( ~ spl102_60
| spl102_92 ),
inference(avatar_split_clause,[],[f725,f1583,f1343]) ).
fof(f1589,definition,
( spl102_93
<=> op2(e20,e21) = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl102_93])],[avatar_definition]) ).
fof(f1591,plain,
( op2(e20,e21) = op2(e21,e20)
| ~ spl102_93 ),
inference(avatar_component_clause,[],[f1589]) ).
fof(f1594,definition,
( spl102_94
<=> e23 = op2(e23,op2(e20,e23)) ),
introduced(definition,[new_symbols(definition,[spl102_94])],[avatar_definition]) ).
fof(f1596,plain,
( e23 = op2(e23,op2(e20,e23))
| ~ spl102_94 ),
inference(avatar_component_clause,[],[f1594]) ).
fof(f1597,plain,
( ~ spl102_61
| spl102_94 ),
inference(avatar_split_clause,[],[f722,f1594,f1347]) ).
fof(f1601,definition,
( spl102_95
<=> e22 = op2(e22,op2(e20,e22)) ),
introduced(definition,[new_symbols(definition,[spl102_95])],[avatar_definition]) ).
fof(f1602,plain,
( e22 != op2(e22,op2(e20,e22))
| spl102_95 ),
inference(avatar_component_clause,[],[f1601]) ).
fof(f1603,plain,
( e22 = op2(e22,op2(e20,e22))
| ~ spl102_95 ),
inference(avatar_component_clause,[],[f1601]) ).
fof(f1606,plain,
( ~ spl102_62
| spl102_89 ),
inference(avatar_split_clause,[],[f721,f1562,f1351]) ).
fof(f1613,plain,
( ~ spl102_63
| spl102_93 ),
inference(avatar_split_clause,[],[f718,f1589,f1355]) ).
fof(f1614,plain,
( e23 != h4(e11)
| ~ sP87 ),
inference(forward_demodulation,[],[f710,f982]) ).
fof(f1619,plain,
( e23 = h4(e11)
| ~ sP87 ),
inference(forward_demodulation,[],[f715,f982]) ).
fof(f1621,plain,
( ~ spl102_65
| ~ spl102_14 ),
inference(avatar_split_clause,[],[f705,f1085,f1364]) ).
fof(f1622,plain,
( ~ spl102_65
| ~ spl102_27 ),
inference(avatar_split_clause,[],[f706,f1141,f1364]) ).
fof(f1623,plain,
( ~ spl102_65
| ~ spl102_40 ),
inference(avatar_split_clause,[],[f707,f1197,f1364]) ).
fof(f1624,plain,
( ~ spl102_65
| spl102_13 ),
inference(avatar_split_clause,[],[f708,f1081,f1364]) ).
fof(f1625,plain,
( ~ spl102_65
| spl102_1 ),
inference(avatar_split_clause,[],[f709,f1030,f1364]) ).
fof(f1631,plain,
( ~ spl102_66
| spl102_5 ),
inference(avatar_split_clause,[],[f703,f1047,f1368]) ).
fof(f1637,plain,
( ~ spl102_67
| spl102_9 ),
inference(avatar_split_clause,[],[f697,f1064,f1372]) ).
fof(f1638,plain,
( ~ spl102_68
| ~ spl102_1 ),
inference(avatar_split_clause,[],[f686,f1030,f1376]) ).
fof(f1642,plain,
( ~ spl102_68
| spl102_2 ),
inference(avatar_split_clause,[],[f690,f1034,f1376]) ).
fof(f1645,plain,
( e22 != h3(e11)
| ~ sP92 ),
inference(forward_demodulation,[],[f681,f978]) ).
fof(f1647,plain,
( ~ spl102_69
| ~ spl102_44 ),
inference(avatar_split_clause,[],[f683,f1214,f1380]) ).
fof(f1649,plain,
( e22 = h3(e11)
| ~ sP92 ),
inference(forward_demodulation,[],[f685,f978]) ).
fof(f1650,plain,
( ~ spl102_70
| ~ spl102_1 ),
inference(avatar_split_clause,[],[f674,f1030,f1384]) ).
fof(f1652,plain,
( ~ spl102_70
| ~ spl102_31 ),
inference(avatar_split_clause,[],[f676,f1158,f1384]) ).
fof(f1653,plain,
( ~ spl102_70
| ~ spl102_44 ),
inference(avatar_split_clause,[],[f677,f1214,f1384]) ).
fof(f1654,plain,
( ~ spl102_70
| spl102_30 ),
inference(avatar_split_clause,[],[f678,f1154,f1384]) ).
fof(f1655,plain,
( ~ spl102_70
| spl102_18 ),
inference(avatar_split_clause,[],[f679,f1103,f1384]) ).
fof(f1661,plain,
( ~ spl102_71
| spl102_22 ),
inference(avatar_split_clause,[],[f673,f1120,f1388]) ).
fof(f1663,plain,
( ~ spl102_72
| ~ spl102_18 ),
inference(avatar_split_clause,[],[f663,f1103,f1392]) ).
fof(f1666,plain,
( ~ spl102_72
| spl102_7 ),
inference(avatar_split_clause,[],[f666,f1055,f1392]) ).
fof(f1667,plain,
( ~ spl102_72
| spl102_27 ),
inference(avatar_split_clause,[],[f667,f1141,f1392]) ).
fof(f1669,plain,
( ~ spl102_73
| ~ spl102_18 ),
inference(avatar_split_clause,[],[f657,f1103,f1396]) ).
fof(f1672,plain,
( ~ spl102_73
| spl102_19 ),
inference(avatar_split_clause,[],[f660,f1107,f1396]) ).
fof(f1673,plain,
( ~ spl102_73
| spl102_31 ),
inference(avatar_split_clause,[],[f661,f1158,f1396]) ).
fof(f1675,plain,
( ~ spl102_74
| ~ spl102_18 ),
inference(avatar_split_clause,[],[f651,f1103,f1400]) ).
fof(f1676,plain,
( e21 != h2(e11)
| ~ sP97 ),
inference(forward_demodulation,[],[f652,f974]) ).
fof(f1679,plain,
( e21 = h2(e11)
| ~ sP97 ),
inference(forward_demodulation,[],[f655,f974]) ).
fof(f1684,plain,
( ~ spl102_75
| spl102_47 ),
inference(avatar_split_clause,[],[f648,f1227,f1404]) ).
fof(f1690,plain,
( ~ spl102_76
| spl102_12 ),
inference(avatar_split_clause,[],[f642,f1076,f1408]) ).
fof(f1696,plain,
( ~ spl102_77
| spl102_24 ),
inference(avatar_split_clause,[],[f636,f1128,f1412]) ).
fof(f1697,plain,
( ~ spl102_77
| spl102_44 ),
inference(avatar_split_clause,[],[f637,f1214,f1412]) ).
fof(f1703,plain,
( ~ spl102_78
| spl102_48 ),
inference(avatar_split_clause,[],[f631,f1231,f1416]) ).
fof(f1704,plain,
e23 = op2(e20,h1(e11)),
inference(forward_demodulation,[],[f623,f970]) ).
fof(f1705,plain,
e22 = op2(h1(e13),e20),
inference(forward_demodulation,[],[f624,f968]) ).
fof(f1707,definition,
( spl102_97
<=> e13 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl102_97])],[avatar_definition]) ).
fof(f1709,plain,
( e13 = op1(e13,e13)
| ~ spl102_97 ),
inference(avatar_component_clause,[],[f1707]) ).
fof(f1711,definition,
( spl102_98
<=> e12 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl102_98])],[avatar_definition]) ).
fof(f1713,plain,
( e12 = op1(e13,e13)
| ~ spl102_98 ),
inference(avatar_component_clause,[],[f1711]) ).
fof(f1715,definition,
( spl102_99
<=> e11 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl102_99])],[avatar_definition]) ).
fof(f1717,plain,
( e11 = op1(e13,e13)
| ~ spl102_99 ),
inference(avatar_component_clause,[],[f1715]) ).
fof(f1719,definition,
( spl102_100
<=> e10 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl102_100])],[avatar_definition]) ).
fof(f1721,plain,
( e10 = op1(e13,e13)
| ~ spl102_100 ),
inference(avatar_component_clause,[],[f1719]) ).
fof(f1724,definition,
( spl102_101
<=> e13 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl102_101])],[avatar_definition]) ).
fof(f1726,plain,
( e13 = op1(e13,e12)
| ~ spl102_101 ),
inference(avatar_component_clause,[],[f1724]) ).
fof(f1728,definition,
( spl102_102
<=> e12 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl102_102])],[avatar_definition]) ).
fof(f1730,plain,
( e12 = op1(e13,e12)
| ~ spl102_102 ),
inference(avatar_component_clause,[],[f1728]) ).
fof(f1732,definition,
( spl102_103
<=> e11 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl102_103])],[avatar_definition]) ).
fof(f1734,plain,
( e11 = op1(e13,e12)
| ~ spl102_103 ),
inference(avatar_component_clause,[],[f1732]) ).
fof(f1736,definition,
( spl102_104
<=> e10 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl102_104])],[avatar_definition]) ).
fof(f1738,plain,
( e10 = op1(e13,e12)
| ~ spl102_104 ),
inference(avatar_component_clause,[],[f1736]) ).
fof(f1741,definition,
( spl102_105
<=> e13 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl102_105])],[avatar_definition]) ).
fof(f1742,plain,
( e13 != op1(e13,e11)
| spl102_105 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f1743,plain,
( e13 = op1(e13,e11)
| ~ spl102_105 ),
inference(avatar_component_clause,[],[f1741]) ).
fof(f1745,definition,
( spl102_106
<=> e12 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl102_106])],[avatar_definition]) ).
fof(f1747,plain,
( e12 = op1(e13,e11)
| ~ spl102_106 ),
inference(avatar_component_clause,[],[f1745]) ).
fof(f1749,definition,
( spl102_107
<=> e11 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl102_107])],[avatar_definition]) ).
fof(f1751,plain,
( e11 = op1(e13,e11)
| ~ spl102_107 ),
inference(avatar_component_clause,[],[f1749]) ).
fof(f1753,definition,
( spl102_108
<=> e10 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl102_108])],[avatar_definition]) ).
fof(f1755,plain,
( e10 = op1(e13,e11)
| ~ spl102_108 ),
inference(avatar_component_clause,[],[f1753]) ).
fof(f1758,definition,
( spl102_109
<=> e13 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl102_109])],[avatar_definition]) ).
fof(f1760,plain,
( e13 = op1(e13,e10)
| ~ spl102_109 ),
inference(avatar_component_clause,[],[f1758]) ).
fof(f1762,definition,
( spl102_110
<=> e12 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl102_110])],[avatar_definition]) ).
fof(f1764,plain,
( e12 = op1(e13,e10)
| ~ spl102_110 ),
inference(avatar_component_clause,[],[f1762]) ).
fof(f1766,definition,
( spl102_111
<=> e11 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl102_111])],[avatar_definition]) ).
fof(f1768,plain,
( e11 = op1(e13,e10)
| ~ spl102_111 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f1770,definition,
( spl102_112
<=> e10 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl102_112])],[avatar_definition]) ).
fof(f1772,plain,
( e10 = op1(e13,e10)
| ~ spl102_112 ),
inference(avatar_component_clause,[],[f1770]) ).
fof(f1775,definition,
( spl102_113
<=> e13 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl102_113])],[avatar_definition]) ).
fof(f1777,plain,
( e13 = op1(e12,e13)
| ~ spl102_113 ),
inference(avatar_component_clause,[],[f1775]) ).
fof(f1779,definition,
( spl102_114
<=> e12 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl102_114])],[avatar_definition]) ).
fof(f1780,plain,
( e12 != op1(e12,e13)
| spl102_114 ),
inference(avatar_component_clause,[],[f1779]) ).
fof(f1781,plain,
( e12 = op1(e12,e13)
| ~ spl102_114 ),
inference(avatar_component_clause,[],[f1779]) ).
fof(f1783,definition,
( spl102_115
<=> e11 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl102_115])],[avatar_definition]) ).
fof(f1785,plain,
( e11 = op1(e12,e13)
| ~ spl102_115 ),
inference(avatar_component_clause,[],[f1783]) ).
fof(f1787,definition,
( spl102_116
<=> e10 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl102_116])],[avatar_definition]) ).
fof(f1789,plain,
( e10 = op1(e12,e13)
| ~ spl102_116 ),
inference(avatar_component_clause,[],[f1787]) ).
fof(f1790,plain,
( spl102_113
| spl102_114
| spl102_115
| spl102_116 ),
inference(avatar_split_clause,[],[f611,f1787,f1783,f1779,f1775]) ).
fof(f1792,definition,
( spl102_117
<=> e13 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl102_117])],[avatar_definition]) ).
fof(f1794,plain,
( e13 = op1(e12,e12)
| ~ spl102_117 ),
inference(avatar_component_clause,[],[f1792]) ).
fof(f1796,definition,
( spl102_118
<=> e12 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl102_118])],[avatar_definition]) ).
fof(f1797,plain,
( e12 != op1(e12,e12)
| spl102_118 ),
inference(avatar_component_clause,[],[f1796]) ).
fof(f1798,plain,
( e12 = op1(e12,e12)
| ~ spl102_118 ),
inference(avatar_component_clause,[],[f1796]) ).
fof(f1800,definition,
( spl102_119
<=> e11 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl102_119])],[avatar_definition]) ).
fof(f1802,plain,
( e11 = op1(e12,e12)
| ~ spl102_119 ),
inference(avatar_component_clause,[],[f1800]) ).
fof(f1804,definition,
( spl102_120
<=> e10 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl102_120])],[avatar_definition]) ).
fof(f1806,plain,
( e10 = op1(e12,e12)
| ~ spl102_120 ),
inference(avatar_component_clause,[],[f1804]) ).
fof(f1809,definition,
( spl102_121
<=> e13 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl102_121])],[avatar_definition]) ).
fof(f1811,plain,
( e13 = op1(e12,e11)
| ~ spl102_121 ),
inference(avatar_component_clause,[],[f1809]) ).
fof(f1813,definition,
( spl102_122
<=> e12 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl102_122])],[avatar_definition]) ).
fof(f1814,plain,
( e12 != op1(e12,e11)
| spl102_122 ),
inference(avatar_component_clause,[],[f1813]) ).
fof(f1815,plain,
( e12 = op1(e12,e11)
| ~ spl102_122 ),
inference(avatar_component_clause,[],[f1813]) ).
fof(f1817,definition,
( spl102_123
<=> e11 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl102_123])],[avatar_definition]) ).
fof(f1819,plain,
( e11 = op1(e12,e11)
| ~ spl102_123 ),
inference(avatar_component_clause,[],[f1817]) ).
fof(f1821,definition,
( spl102_124
<=> e10 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl102_124])],[avatar_definition]) ).
fof(f1823,plain,
( e10 = op1(e12,e11)
| ~ spl102_124 ),
inference(avatar_component_clause,[],[f1821]) ).
fof(f1824,plain,
( spl102_121
| spl102_122
| spl102_123
| spl102_124 ),
inference(avatar_split_clause,[],[f613,f1821,f1817,f1813,f1809]) ).
fof(f1826,definition,
( spl102_125
<=> e13 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl102_125])],[avatar_definition]) ).
fof(f1828,plain,
( e13 = op1(e12,e10)
| ~ spl102_125 ),
inference(avatar_component_clause,[],[f1826]) ).
fof(f1830,definition,
( spl102_126
<=> e12 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl102_126])],[avatar_definition]) ).
fof(f1832,plain,
( e12 = op1(e12,e10)
| ~ spl102_126 ),
inference(avatar_component_clause,[],[f1830]) ).
fof(f1834,definition,
( spl102_127
<=> e11 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl102_127])],[avatar_definition]) ).
fof(f1836,plain,
( e11 = op1(e12,e10)
| ~ spl102_127 ),
inference(avatar_component_clause,[],[f1834]) ).
fof(f1838,definition,
( spl102_128
<=> e10 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl102_128])],[avatar_definition]) ).
fof(f1840,plain,
( e10 = op1(e12,e10)
| ~ spl102_128 ),
inference(avatar_component_clause,[],[f1838]) ).
fof(f1843,definition,
( spl102_129
<=> e13 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl102_129])],[avatar_definition]) ).
fof(f1845,plain,
( e13 = op1(e11,e13)
| ~ spl102_129 ),
inference(avatar_component_clause,[],[f1843]) ).
fof(f1847,definition,
( spl102_130
<=> e12 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl102_130])],[avatar_definition]) ).
fof(f1849,plain,
( e12 = op1(e11,e13)
| ~ spl102_130 ),
inference(avatar_component_clause,[],[f1847]) ).
fof(f1851,definition,
( spl102_131
<=> e11 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl102_131])],[avatar_definition]) ).
fof(f1853,plain,
( e11 = op1(e11,e13)
| ~ spl102_131 ),
inference(avatar_component_clause,[],[f1851]) ).
fof(f1855,definition,
( spl102_132
<=> e10 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl102_132])],[avatar_definition]) ).
fof(f1856,plain,
( e10 != op1(e11,e13)
| spl102_132 ),
inference(avatar_component_clause,[],[f1855]) ).
fof(f1857,plain,
( e10 = op1(e11,e13)
| ~ spl102_132 ),
inference(avatar_component_clause,[],[f1855]) ).
fof(f1860,definition,
( spl102_133
<=> e13 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl102_133])],[avatar_definition]) ).
fof(f1862,plain,
( e13 = op1(e11,e12)
| ~ spl102_133 ),
inference(avatar_component_clause,[],[f1860]) ).
fof(f1864,definition,
( spl102_134
<=> e12 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl102_134])],[avatar_definition]) ).
fof(f1866,plain,
( e12 = op1(e11,e12)
| ~ spl102_134 ),
inference(avatar_component_clause,[],[f1864]) ).
fof(f1868,definition,
( spl102_135
<=> e11 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl102_135])],[avatar_definition]) ).
fof(f1870,plain,
( e11 = op1(e11,e12)
| ~ spl102_135 ),
inference(avatar_component_clause,[],[f1868]) ).
fof(f1872,definition,
( spl102_136
<=> e10 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl102_136])],[avatar_definition]) ).
fof(f1874,plain,
( e10 = op1(e11,e12)
| ~ spl102_136 ),
inference(avatar_component_clause,[],[f1872]) ).
fof(f1877,definition,
( spl102_137
<=> e13 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl102_137])],[avatar_definition]) ).
fof(f1879,plain,
( e13 = op1(e11,e11)
| ~ spl102_137 ),
inference(avatar_component_clause,[],[f1877]) ).
fof(f1881,definition,
( spl102_138
<=> e12 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl102_138])],[avatar_definition]) ).
fof(f1883,plain,
( e12 = op1(e11,e11)
| ~ spl102_138 ),
inference(avatar_component_clause,[],[f1881]) ).
fof(f1885,definition,
( spl102_139
<=> e11 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl102_139])],[avatar_definition]) ).
fof(f1887,plain,
( e11 = op1(e11,e11)
| ~ spl102_139 ),
inference(avatar_component_clause,[],[f1885]) ).
fof(f1889,definition,
( spl102_140
<=> e10 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl102_140])],[avatar_definition]) ).
fof(f1891,plain,
( e10 = op1(e11,e11)
| ~ spl102_140 ),
inference(avatar_component_clause,[],[f1889]) ).
fof(f1894,definition,
( spl102_141
<=> e13 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl102_141])],[avatar_definition]) ).
fof(f1896,plain,
( e13 = op1(e11,e10)
| ~ spl102_141 ),
inference(avatar_component_clause,[],[f1894]) ).
fof(f1902,definition,
( spl102_143
<=> e11 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl102_143])],[avatar_definition]) ).
fof(f1904,plain,
( e11 = op1(e11,e10)
| ~ spl102_143 ),
inference(avatar_component_clause,[],[f1902]) ).
fof(f1906,definition,
( spl102_144
<=> e10 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl102_144])],[avatar_definition]) ).
fof(f1908,plain,
( e10 = op1(e11,e10)
| ~ spl102_144 ),
inference(avatar_component_clause,[],[f1906]) ).
fof(f1911,definition,
( spl102_145
<=> e13 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl102_145])],[avatar_definition]) ).
fof(f1913,plain,
( e13 = op1(e10,e13)
| ~ spl102_145 ),
inference(avatar_component_clause,[],[f1911]) ).
fof(f1915,definition,
( spl102_146
<=> e12 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl102_146])],[avatar_definition]) ).
fof(f1917,plain,
( e12 = op1(e10,e13)
| ~ spl102_146 ),
inference(avatar_component_clause,[],[f1915]) ).
fof(f1919,definition,
( spl102_147
<=> e11 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl102_147])],[avatar_definition]) ).
fof(f1921,plain,
( e11 = op1(e10,e13)
| ~ spl102_147 ),
inference(avatar_component_clause,[],[f1919]) ).
fof(f1923,definition,
( spl102_148
<=> e10 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl102_148])],[avatar_definition]) ).
fof(f1925,plain,
( e10 = op1(e10,e13)
| ~ spl102_148 ),
inference(avatar_component_clause,[],[f1923]) ).
fof(f1928,definition,
( spl102_149
<=> e13 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl102_149])],[avatar_definition]) ).
fof(f1929,plain,
( e13 != op1(e10,e12)
| spl102_149 ),
inference(avatar_component_clause,[],[f1928]) ).
fof(f1930,plain,
( e13 = op1(e10,e12)
| ~ spl102_149 ),
inference(avatar_component_clause,[],[f1928]) ).
fof(f1932,definition,
( spl102_150
<=> e12 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl102_150])],[avatar_definition]) ).
fof(f1934,plain,
( e12 = op1(e10,e12)
| ~ spl102_150 ),
inference(avatar_component_clause,[],[f1932]) ).
fof(f1936,definition,
( spl102_151
<=> e11 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl102_151])],[avatar_definition]) ).
fof(f1938,plain,
( e11 = op1(e10,e12)
| ~ spl102_151 ),
inference(avatar_component_clause,[],[f1936]) ).
fof(f1940,definition,
( spl102_152
<=> e10 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl102_152])],[avatar_definition]) ).
fof(f1942,plain,
( e10 = op1(e10,e12)
| ~ spl102_152 ),
inference(avatar_component_clause,[],[f1940]) ).
fof(f1945,definition,
( spl102_153
<=> e13 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl102_153])],[avatar_definition]) ).
fof(f1946,plain,
( e13 != op1(e10,e11)
| spl102_153 ),
inference(avatar_component_clause,[],[f1945]) ).
fof(f1947,plain,
( e13 = op1(e10,e11)
| ~ spl102_153 ),
inference(avatar_component_clause,[],[f1945]) ).
fof(f1949,definition,
( spl102_154
<=> e12 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl102_154])],[avatar_definition]) ).
fof(f1951,plain,
( e12 = op1(e10,e11)
| ~ spl102_154 ),
inference(avatar_component_clause,[],[f1949]) ).
fof(f1953,definition,
( spl102_155
<=> e11 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl102_155])],[avatar_definition]) ).
fof(f1955,plain,
( e11 = op1(e10,e11)
| ~ spl102_155 ),
inference(avatar_component_clause,[],[f1953]) ).
fof(f1957,definition,
( spl102_156
<=> e10 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl102_156])],[avatar_definition]) ).
fof(f1959,plain,
( e10 = op1(e10,e11)
| ~ spl102_156 ),
inference(avatar_component_clause,[],[f1957]) ).
fof(f1962,definition,
( spl102_157
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[spl102_157])],[avatar_definition]) ).
fof(f1964,plain,
( op1(e10,e10) = e13
| ~ spl102_157 ),
inference(avatar_component_clause,[],[f1962]) ).
fof(f1966,definition,
( spl102_158
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[spl102_158])],[avatar_definition]) ).
fof(f1968,plain,
( op1(e10,e10) = e12
| ~ spl102_158 ),
inference(avatar_component_clause,[],[f1966]) ).
fof(f1970,definition,
( spl102_159
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[spl102_159])],[avatar_definition]) ).
fof(f1972,plain,
( op1(e10,e10) = e11
| ~ spl102_159 ),
inference(avatar_component_clause,[],[f1970]) ).
fof(f1974,definition,
( spl102_160
<=> e10 = op1(e10,e10) ),
introduced(definition,[new_symbols(definition,[spl102_160])],[avatar_definition]) ).
fof(f1976,plain,
( e10 = op1(e10,e10)
| ~ spl102_160 ),
inference(avatar_component_clause,[],[f1974]) ).
fof(f1978,plain,
( spl102_97
| spl102_113
| spl102_129
| spl102_145 ),
inference(avatar_split_clause,[],[f575,f1911,f1843,f1775,f1707]) ).
fof(f1979,plain,
( spl102_97
| spl102_101
| spl102_105
| spl102_109 ),
inference(avatar_split_clause,[],[f576,f1758,f1741,f1724,f1707]) ).
fof(f1980,plain,
( spl102_98
| spl102_114
| spl102_130
| spl102_146 ),
inference(avatar_split_clause,[],[f577,f1915,f1847,f1779,f1711]) ).
fof(f1982,plain,
( spl102_99
| spl102_115
| spl102_131
| spl102_147 ),
inference(avatar_split_clause,[],[f579,f1919,f1851,f1783,f1715]) ).
fof(f1983,plain,
( spl102_99
| spl102_103
| spl102_107
| spl102_111 ),
inference(avatar_split_clause,[],[f580,f1766,f1749,f1732,f1715]) ).
fof(f1984,plain,
( spl102_100
| spl102_116
| spl102_132
| spl102_148 ),
inference(avatar_split_clause,[],[f581,f1923,f1855,f1787,f1719]) ).
fof(f1985,plain,
( spl102_100
| spl102_104
| spl102_108
| spl102_112 ),
inference(avatar_split_clause,[],[f582,f1770,f1753,f1736,f1719]) ).
fof(f1986,plain,
( spl102_101
| spl102_117
| spl102_133
| spl102_149 ),
inference(avatar_split_clause,[],[f583,f1928,f1860,f1792,f1724]) ).
fof(f1987,plain,
( spl102_113
| spl102_117
| spl102_121
| spl102_125 ),
inference(avatar_split_clause,[],[f584,f1826,f1809,f1792,f1775]) ).
fof(f1988,plain,
( spl102_102
| spl102_118
| spl102_134
| spl102_150 ),
inference(avatar_split_clause,[],[f585,f1932,f1864,f1796,f1728]) ).
fof(f1989,plain,
( spl102_114
| spl102_118
| spl102_122
| spl102_126 ),
inference(avatar_split_clause,[],[f586,f1830,f1813,f1796,f1779]) ).
fof(f1990,plain,
( spl102_103
| spl102_119
| spl102_135
| spl102_151 ),
inference(avatar_split_clause,[],[f587,f1936,f1868,f1800,f1732]) ).
fof(f1991,plain,
( spl102_115
| spl102_119
| spl102_123
| spl102_127 ),
inference(avatar_split_clause,[],[f588,f1834,f1817,f1800,f1783]) ).
fof(f1992,plain,
( spl102_104
| spl102_120
| spl102_136
| spl102_152 ),
inference(avatar_split_clause,[],[f589,f1940,f1872,f1804,f1736]) ).
fof(f1993,plain,
( spl102_116
| spl102_120
| spl102_124
| spl102_128 ),
inference(avatar_split_clause,[],[f590,f1838,f1821,f1804,f1787]) ).
fof(f1995,plain,
( spl102_129
| spl102_133
| spl102_137
| spl102_141 ),
inference(avatar_split_clause,[],[f592,f1894,f1877,f1860,f1843]) ).
fof(f1996,plain,
( spl102_106
| spl102_122
| spl102_138
| spl102_154 ),
inference(avatar_split_clause,[],[f593,f1949,f1881,f1813,f1745]) ).
fof(f1998,plain,
( spl102_107
| spl102_123
| spl102_139
| spl102_155 ),
inference(avatar_split_clause,[],[f595,f1953,f1885,f1817,f1749]) ).
fof(f1999,plain,
( spl102_131
| spl102_135
| spl102_139
| spl102_143 ),
inference(avatar_split_clause,[],[f596,f1902,f1885,f1868,f1851]) ).
fof(f2000,plain,
( spl102_108
| spl102_124
| spl102_140
| spl102_156 ),
inference(avatar_split_clause,[],[f597,f1957,f1889,f1821,f1753]) ).
fof(f2001,plain,
( spl102_132
| spl102_136
| spl102_140
| spl102_144 ),
inference(avatar_split_clause,[],[f598,f1906,f1889,f1872,f1855]) ).
fof(f2002,plain,
( spl102_109
| spl102_125
| spl102_141
| spl102_157 ),
inference(avatar_split_clause,[],[f599,f1962,f1894,f1826,f1758]) ).
fof(f2005,plain,
( spl102_146
| spl102_150
| spl102_154
| spl102_158 ),
inference(avatar_split_clause,[],[f602,f1966,f1949,f1932,f1915]) ).
fof(f2008,plain,
( spl102_112
| spl102_128
| spl102_144
| spl102_160 ),
inference(avatar_split_clause,[],[f605,f1974,f1906,f1838,f1770]) ).
fof(f2009,plain,
( spl102_148
| spl102_152
| spl102_156
| spl102_160 ),
inference(avatar_split_clause,[],[f606,f1974,f1957,f1940,f1923]) ).
fof(f2011,definition,
( spl102_161
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl102_161])],[avatar_definition]) ).
fof(f2015,definition,
( spl102_162
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl102_162])],[avatar_definition]) ).
fof(f2019,definition,
( spl102_163
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl102_163])],[avatar_definition]) ).
fof(f2023,definition,
( spl102_164
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl102_164])],[avatar_definition]) ).
fof(f2027,definition,
( spl102_165
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl102_165])],[avatar_definition]) ).
fof(f2031,definition,
( spl102_166
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl102_166])],[avatar_definition]) ).
fof(f2035,definition,
( spl102_167
<=> sP18 ),
introduced(definition,[new_symbols(definition,[spl102_167])],[avatar_definition]) ).
fof(f2039,definition,
( spl102_168
<=> sP19 ),
introduced(definition,[new_symbols(definition,[spl102_168])],[avatar_definition]) ).
fof(f2043,definition,
( spl102_169
<=> sP20 ),
introduced(definition,[new_symbols(definition,[spl102_169])],[avatar_definition]) ).
fof(f2047,definition,
( spl102_170
<=> sP21 ),
introduced(definition,[new_symbols(definition,[spl102_170])],[avatar_definition]) ).
fof(f2051,definition,
( spl102_171
<=> sP22 ),
introduced(definition,[new_symbols(definition,[spl102_171])],[avatar_definition]) ).
fof(f2055,definition,
( spl102_172
<=> sP23 ),
introduced(definition,[new_symbols(definition,[spl102_172])],[avatar_definition]) ).
fof(f2059,definition,
( spl102_173
<=> sP24 ),
introduced(definition,[new_symbols(definition,[spl102_173])],[avatar_definition]) ).
fof(f2063,definition,
( spl102_174
<=> sP25 ),
introduced(definition,[new_symbols(definition,[spl102_174])],[avatar_definition]) ).
fof(f2067,definition,
( spl102_175
<=> sP26 ),
introduced(definition,[new_symbols(definition,[spl102_175])],[avatar_definition]) ).
fof(f2074,plain,
( spl102_161
| spl102_162
| spl102_163
| spl102_164
| spl102_165
| spl102_166
| spl102_167
| spl102_168
| spl102_169
| spl102_170
| spl102_171
| spl102_172
| spl102_173
| spl102_174
| spl102_175
| spl102_160 ),
inference(avatar_split_clause,[],[f517,f1974,f2067,f2063,f2059,f2055,f2051,f2047,f2043,f2039,f2035,f2031,f2027,f2023,f2019,f2015,f2011]) ).
fof(f2076,definition,
( spl102_176
<=> sP27 ),
introduced(definition,[new_symbols(definition,[spl102_176])],[avatar_definition]) ).
fof(f2080,definition,
( spl102_177
<=> sP28 ),
introduced(definition,[new_symbols(definition,[spl102_177])],[avatar_definition]) ).
fof(f2084,definition,
( spl102_178
<=> sP29 ),
introduced(definition,[new_symbols(definition,[spl102_178])],[avatar_definition]) ).
fof(f2088,definition,
( spl102_179
<=> sP30 ),
introduced(definition,[new_symbols(definition,[spl102_179])],[avatar_definition]) ).
fof(f2092,definition,
( spl102_180
<=> sP31 ),
introduced(definition,[new_symbols(definition,[spl102_180])],[avatar_definition]) ).
fof(f2096,definition,
( spl102_181
<=> sP32 ),
introduced(definition,[new_symbols(definition,[spl102_181])],[avatar_definition]) ).
fof(f2100,definition,
( spl102_182
<=> sP33 ),
introduced(definition,[new_symbols(definition,[spl102_182])],[avatar_definition]) ).
fof(f2104,definition,
( spl102_183
<=> sP34 ),
introduced(definition,[new_symbols(definition,[spl102_183])],[avatar_definition]) ).
fof(f2108,definition,
( spl102_184
<=> sP35 ),
introduced(definition,[new_symbols(definition,[spl102_184])],[avatar_definition]) ).
fof(f2112,definition,
( spl102_185
<=> sP36 ),
introduced(definition,[new_symbols(definition,[spl102_185])],[avatar_definition]) ).
fof(f2116,definition,
( spl102_186
<=> sP37 ),
introduced(definition,[new_symbols(definition,[spl102_186])],[avatar_definition]) ).
fof(f2120,definition,
( spl102_187
<=> sP38 ),
introduced(definition,[new_symbols(definition,[spl102_187])],[avatar_definition]) ).
fof(f2124,definition,
( spl102_188
<=> sP39 ),
introduced(definition,[new_symbols(definition,[spl102_188])],[avatar_definition]) ).
fof(f2128,definition,
( spl102_189
<=> sP40 ),
introduced(definition,[new_symbols(definition,[spl102_189])],[avatar_definition]) ).
fof(f2132,definition,
( spl102_190
<=> sP41 ),
introduced(definition,[new_symbols(definition,[spl102_190])],[avatar_definition]) ).
fof(f2140,plain,
( spl102_176
| spl102_177
| spl102_178
| spl102_179
| spl102_180
| spl102_181
| spl102_182
| spl102_183
| spl102_184
| spl102_185
| spl102_186
| spl102_187
| spl102_188
| spl102_189
| spl102_190 ),
inference(avatar_split_clause,[],[f1008,f2132,f2128,f2124,f2120,f2116,f2112,f2108,f2104,f2100,f2096,f2092,f2088,f2084,f2080,f2076]) ).
fof(f2142,definition,
( spl102_192
<=> sP42 ),
introduced(definition,[new_symbols(definition,[spl102_192])],[avatar_definition]) ).
fof(f2146,definition,
( spl102_193
<=> sP43 ),
introduced(definition,[new_symbols(definition,[spl102_193])],[avatar_definition]) ).
fof(f2150,definition,
( spl102_194
<=> sP44 ),
introduced(definition,[new_symbols(definition,[spl102_194])],[avatar_definition]) ).
fof(f2154,definition,
( spl102_195
<=> sP45 ),
introduced(definition,[new_symbols(definition,[spl102_195])],[avatar_definition]) ).
fof(f2158,definition,
( spl102_196
<=> sP46 ),
introduced(definition,[new_symbols(definition,[spl102_196])],[avatar_definition]) ).
fof(f2162,definition,
( spl102_197
<=> sP47 ),
introduced(definition,[new_symbols(definition,[spl102_197])],[avatar_definition]) ).
fof(f2166,definition,
( spl102_198
<=> sP48 ),
introduced(definition,[new_symbols(definition,[spl102_198])],[avatar_definition]) ).
fof(f2170,definition,
( spl102_199
<=> sP49 ),
introduced(definition,[new_symbols(definition,[spl102_199])],[avatar_definition]) ).
fof(f2174,definition,
( spl102_200
<=> sP50 ),
introduced(definition,[new_symbols(definition,[spl102_200])],[avatar_definition]) ).
fof(f2178,definition,
( spl102_201
<=> sP51 ),
introduced(definition,[new_symbols(definition,[spl102_201])],[avatar_definition]) ).
fof(f2182,definition,
( spl102_202
<=> sP52 ),
introduced(definition,[new_symbols(definition,[spl102_202])],[avatar_definition]) ).
fof(f2186,definition,
( spl102_203
<=> sP53 ),
introduced(definition,[new_symbols(definition,[spl102_203])],[avatar_definition]) ).
fof(f2190,definition,
( spl102_204
<=> sP54 ),
introduced(definition,[new_symbols(definition,[spl102_204])],[avatar_definition]) ).
fof(f2194,definition,
( spl102_205
<=> sP55 ),
introduced(definition,[new_symbols(definition,[spl102_205])],[avatar_definition]) ).
fof(f2198,definition,
( spl102_206
<=> sP56 ),
introduced(definition,[new_symbols(definition,[spl102_206])],[avatar_definition]) ).
fof(f2205,plain,
( spl102_192
| spl102_193
| spl102_194
| spl102_195
| spl102_196
| spl102_197
| spl102_198
| spl102_199
| spl102_200
| spl102_201
| spl102_202
| spl102_203
| spl102_204
| spl102_205
| spl102_206
| spl102_160 ),
inference(avatar_split_clause,[],[f525,f1974,f2198,f2194,f2190,f2186,f2182,f2178,f2174,f2170,f2166,f2162,f2158,f2154,f2150,f2146,f2142]) ).
fof(f2206,plain,
( spl102_192
| spl102_193
| spl102_194
| spl102_195
| spl102_196
| spl102_197
| spl102_198
| spl102_199
| spl102_200
| spl102_201
| spl102_202
| spl102_203
| spl102_204
| spl102_205
| spl102_206
| spl102_160 ),
inference(avatar_split_clause,[],[f526,f1974,f2198,f2194,f2190,f2186,f2182,f2178,f2174,f2170,f2166,f2162,f2158,f2154,f2150,f2146,f2142]) ).
fof(f2207,plain,
( ~ spl102_161
| ~ spl102_97 ),
inference(avatar_split_clause,[],[f1009,f1707,f2011]) ).
fof(f2211,plain,
( ~ spl102_161
| spl102_97 ),
inference(avatar_split_clause,[],[f512,f1707,f2011]) ).
fof(f2216,plain,
( ~ spl102_162
| spl102_98 ),
inference(avatar_split_clause,[],[f507,f1711,f2015]) ).
fof(f2220,plain,
( ~ spl102_163
| ~ spl102_132
| ~ spl102_108
| ~ spl102_99 ),
inference(avatar_split_clause,[],[f501,f1715,f1753,f1855,f2019]) ).
fof(f2221,plain,
( ~ spl102_163
| spl102_99 ),
inference(avatar_split_clause,[],[f502,f1715,f2019]) ).
fof(f2223,plain,
( ~ spl102_164
| ~ spl102_146
| ~ spl102_110
| ~ spl102_100 ),
inference(avatar_split_clause,[],[f494,f1719,f1762,f1915,f2023]) ).
fof(f2226,plain,
( ~ spl102_164
| spl102_100 ),
inference(avatar_split_clause,[],[f497,f1719,f2023]) ).
fof(f2229,plain,
( ~ spl102_165
| ~ spl102_103
| ~ spl102_115
| ~ spl102_117 ),
inference(avatar_split_clause,[],[f490,f1792,f1783,f1732,f2027]) ).
fof(f2231,plain,
( ~ spl102_165
| spl102_117 ),
inference(avatar_split_clause,[],[f492,f1792,f2027]) ).
fof(f2233,plain,
( ~ spl102_166
| ~ spl102_118 ),
inference(avatar_split_clause,[],[f1014,f1796,f2031]) ).
fof(f2236,plain,
( ~ spl102_166
| spl102_118 ),
inference(avatar_split_clause,[],[f487,f1796,f2031]) ).
fof(f2238,plain,
( ~ spl102_167
| ~ spl102_134
| ~ spl102_122
| ~ spl102_119 ),
inference(avatar_split_clause,[],[f479,f1800,f1813,f1864,f2035]) ).
fof(f2241,plain,
( ~ spl102_167
| spl102_119 ),
inference(avatar_split_clause,[],[f482,f1800,f2035]) ).
fof(f2246,plain,
( ~ spl102_168
| spl102_120 ),
inference(avatar_split_clause,[],[f477,f1804,f2039]) ).
fof(f2251,plain,
( ~ spl102_169
| spl102_137 ),
inference(avatar_split_clause,[],[f472,f1877,f2043]) ).
fof(f2254,plain,
( ~ spl102_170
| ~ spl102_123
| ~ spl102_135
| ~ spl102_138 ),
inference(avatar_split_clause,[],[f465,f1881,f1868,f1817,f2047]) ).
fof(f2256,plain,
( ~ spl102_170
| spl102_138 ),
inference(avatar_split_clause,[],[f467,f1881,f2047]) ).
fof(f2259,plain,
( ~ spl102_171
| ~ spl102_139 ),
inference(avatar_split_clause,[],[f1019,f1885,f2051]) ).
fof(f2261,plain,
( ~ spl102_171
| spl102_139 ),
inference(avatar_split_clause,[],[f462,f1885,f2051]) ).
fof(f2262,plain,
( ~ spl102_172
| ~ spl102_153
| ~ spl102_141
| ~ spl102_140 ),
inference(avatar_split_clause,[],[f453,f1889,f1894,f1945,f2055]) ).
fof(f2266,plain,
( ~ spl102_172
| spl102_140 ),
inference(avatar_split_clause,[],[f457,f1889,f2055]) ).
fof(f2271,plain,
( ~ spl102_173
| spl102_157 ),
inference(avatar_split_clause,[],[f452,f1962,f2059]) ).
fof(f2276,plain,
( ~ spl102_174
| spl102_158 ),
inference(avatar_split_clause,[],[f447,f1966,f2063]) ).
fof(f2277,plain,
( ~ spl102_175
| ~ spl102_141
| ~ spl102_153
| ~ spl102_159 ),
inference(avatar_split_clause,[],[f438,f1970,f1945,f1894,f2067]) ).
fof(f2287,plain,
~ spl102_176,
inference(avatar_split_clause,[],[f1021,f2076]) ).
fof(f2294,definition,
( spl102_209
<=> op1(e12,e13) = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl102_209])],[avatar_definition]) ).
fof(f2295,plain,
( op1(e12,e13) != op1(e13,e12)
| spl102_209 ),
inference(avatar_component_clause,[],[f2294]) ).
fof(f2296,plain,
( op1(e12,e13) = op1(e13,e12)
| ~ spl102_209 ),
inference(avatar_component_clause,[],[f2294]) ).
fof(f2297,plain,
( ~ spl102_177
| spl102_209 ),
inference(avatar_split_clause,[],[f434,f2294,f2080]) ).
fof(f2299,definition,
( spl102_210
<=> e11 = op1(e11,op1(e13,e11)) ),
introduced(definition,[new_symbols(definition,[spl102_210])],[avatar_definition]) ).
fof(f2301,plain,
( e11 = op1(e11,op1(e13,e11))
| ~ spl102_210 ),
inference(avatar_component_clause,[],[f2299]) ).
fof(f2302,plain,
( ~ spl102_178
| spl102_210 ),
inference(avatar_split_clause,[],[f429,f2299,f2084]) ).
fof(f2304,definition,
( spl102_211
<=> op1(e11,e13) = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl102_211])],[avatar_definition]) ).
fof(f2306,plain,
( op1(e11,e13) = op1(e13,e11)
| ~ spl102_211 ),
inference(avatar_component_clause,[],[f2304]) ).
fof(f2314,definition,
( spl102_213
<=> op1(e10,e13) = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl102_213])],[avatar_definition]) ).
fof(f2315,plain,
( op1(e10,e13) != op1(e13,e10)
| spl102_213 ),
inference(avatar_component_clause,[],[f2314]) ).
fof(f2316,plain,
( op1(e10,e13) = op1(e13,e10)
| ~ spl102_213 ),
inference(avatar_component_clause,[],[f2314]) ).
fof(f2317,plain,
( ~ spl102_179
| spl102_213 ),
inference(avatar_split_clause,[],[f428,f2314,f2088]) ).
fof(f2323,plain,
( ~ spl102_180
| spl102_209 ),
inference(avatar_split_clause,[],[f425,f2294,f2092]) ).
fof(f2329,plain,
~ spl102_181,
inference(avatar_split_clause,[],[f1022,f2096]) ).
fof(f2331,definition,
( spl102_216
<=> e11 = op1(e11,op1(e12,e11)) ),
introduced(definition,[new_symbols(definition,[spl102_216])],[avatar_definition]) ).
fof(f2333,plain,
( e11 = op1(e11,op1(e12,e11))
| ~ spl102_216 ),
inference(avatar_component_clause,[],[f2331]) ).
fof(f2334,plain,
( ~ spl102_182
| spl102_216 ),
inference(avatar_split_clause,[],[f417,f2331,f2100]) ).
fof(f2336,definition,
( spl102_217
<=> op1(e11,e12) = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl102_217])],[avatar_definition]) ).
fof(f2338,plain,
( op1(e11,e12) = op1(e12,e11)
| ~ spl102_217 ),
inference(avatar_component_clause,[],[f2336]) ).
fof(f2346,definition,
( spl102_219
<=> op1(e10,e12) = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl102_219])],[avatar_definition]) ).
fof(f2348,plain,
( op1(e10,e12) = op1(e12,e10)
| ~ spl102_219 ),
inference(avatar_component_clause,[],[f2346]) ).
fof(f2349,plain,
( ~ spl102_183
| spl102_219 ),
inference(avatar_split_clause,[],[f416,f2346,f2104]) ).
fof(f2351,definition,
( spl102_220
<=> e13 = op1(e13,op1(e11,e13)) ),
introduced(definition,[new_symbols(definition,[spl102_220])],[avatar_definition]) ).
fof(f2353,plain,
( e13 = op1(e13,op1(e11,e13))
| ~ spl102_220 ),
inference(avatar_component_clause,[],[f2351]) ).
fof(f2354,plain,
( ~ spl102_184
| spl102_220 ),
inference(avatar_split_clause,[],[f411,f2351,f2108]) ).
fof(f2355,plain,
( ~ spl102_184
| spl102_211 ),
inference(avatar_split_clause,[],[f413,f2304,f2108]) ).
fof(f2357,definition,
( spl102_221
<=> e12 = op1(e12,op1(e11,e12)) ),
introduced(definition,[new_symbols(definition,[spl102_221])],[avatar_definition]) ).
fof(f2359,plain,
( e12 = op1(e12,op1(e11,e12))
| ~ spl102_221 ),
inference(avatar_component_clause,[],[f2357]) ).
fof(f2360,plain,
( ~ spl102_185
| spl102_221 ),
inference(avatar_split_clause,[],[f408,f2357,f2112]) ).
fof(f2361,plain,
( ~ spl102_185
| spl102_217 ),
inference(avatar_split_clause,[],[f410,f2336,f2112]) ).
fof(f2367,plain,
~ spl102_186,
inference(avatar_split_clause,[],[f1023,f2116]) ).
fof(f2374,definition,
( spl102_224
<=> op1(e10,e11) = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl102_224])],[avatar_definition]) ).
fof(f2376,plain,
( op1(e10,e11) = op1(e11,e10)
| ~ spl102_224 ),
inference(avatar_component_clause,[],[f2374]) ).
fof(f2377,plain,
( ~ spl102_187
| spl102_224 ),
inference(avatar_split_clause,[],[f404,f2374,f2120]) ).
fof(f2383,plain,
( ~ spl102_188
| spl102_213 ),
inference(avatar_split_clause,[],[f401,f2314,f2124]) ).
fof(f2385,definition,
( spl102_226
<=> e12 = op1(e12,op1(e10,e12)) ),
introduced(definition,[new_symbols(definition,[spl102_226])],[avatar_definition]) ).
fof(f2387,plain,
( e12 = op1(e12,op1(e10,e12))
| ~ spl102_226 ),
inference(avatar_component_clause,[],[f2385]) ).
fof(f2388,plain,
( ~ spl102_189
| spl102_226 ),
inference(avatar_split_clause,[],[f396,f2385,f2128]) ).
fof(f2395,plain,
( ~ spl102_190
| spl102_224 ),
inference(avatar_split_clause,[],[f395,f2374,f2132]) ).
fof(f2396,plain,
( ~ spl102_192
| ~ spl102_97 ),
inference(avatar_split_clause,[],[f387,f1707,f2142]) ).
fof(f2397,plain,
( ~ spl102_192
| ~ spl102_114 ),
inference(avatar_split_clause,[],[f388,f1779,f2142]) ).
fof(f2401,plain,
( ~ spl102_192
| spl102_97 ),
inference(avatar_split_clause,[],[f392,f1707,f2142]) ).
fof(f2402,plain,
( ~ spl102_193
| ~ spl102_97 ),
inference(avatar_split_clause,[],[f381,f1707,f2146]) ).
fof(f2403,plain,
( ~ spl102_193
| ~ spl102_114 ),
inference(avatar_split_clause,[],[f382,f1779,f2146]) ).
fof(f2404,plain,
( ~ spl102_193
| ~ spl102_131 ),
inference(avatar_split_clause,[],[f383,f1851,f2146]) ).
fof(f2405,plain,
( ~ spl102_193
| ~ spl102_148 ),
inference(avatar_split_clause,[],[f384,f1923,f2146]) ).
fof(f2406,plain,
( ~ spl102_193
| spl102_113 ),
inference(avatar_split_clause,[],[f385,f1775,f2146]) ).
fof(f2407,plain,
( ~ spl102_193
| spl102_101 ),
inference(avatar_split_clause,[],[f386,f1724,f2146]) ).
fof(f2413,plain,
( ~ spl102_194
| spl102_105 ),
inference(avatar_split_clause,[],[f380,f1741,f2150]) ).
fof(f2419,plain,
( ~ spl102_195
| spl102_109 ),
inference(avatar_split_clause,[],[f374,f1758,f2154]) ).
fof(f2420,plain,
( ~ spl102_196
| ~ spl102_101 ),
inference(avatar_split_clause,[],[f363,f1724,f2158]) ).
fof(f2424,plain,
( ~ spl102_196
| spl102_102 ),
inference(avatar_split_clause,[],[f367,f1728,f2158]) ).
fof(f2425,plain,
( ~ spl102_196
| spl102_114 ),
inference(avatar_split_clause,[],[f368,f1779,f2158]) ).
fof(f2426,plain,
( ~ spl102_197
| ~ spl102_101 ),
inference(avatar_split_clause,[],[f357,f1724,f2162]) ).
fof(f2427,plain,
( ~ spl102_197
| ~ spl102_118 ),
inference(avatar_split_clause,[],[f358,f1796,f2162]) ).
fof(f2431,plain,
( ~ spl102_197
| spl102_118 ),
inference(avatar_split_clause,[],[f362,f1796,f2162]) ).
fof(f2432,plain,
( ~ spl102_198
| ~ spl102_101 ),
inference(avatar_split_clause,[],[f351,f1724,f2166]) ).
fof(f2433,plain,
( ~ spl102_198
| ~ spl102_118 ),
inference(avatar_split_clause,[],[f352,f1796,f2166]) ).
fof(f2434,plain,
( ~ spl102_198
| ~ spl102_135 ),
inference(avatar_split_clause,[],[f353,f1868,f2166]) ).
fof(f2435,plain,
( ~ spl102_198
| ~ spl102_152 ),
inference(avatar_split_clause,[],[f354,f1940,f2166]) ).
fof(f2436,plain,
( ~ spl102_198
| spl102_134 ),
inference(avatar_split_clause,[],[f355,f1864,f2166]) ).
fof(f2437,plain,
( ~ spl102_198
| spl102_122 ),
inference(avatar_split_clause,[],[f356,f1813,f2166]) ).
fof(f2443,plain,
( ~ spl102_199
| spl102_126 ),
inference(avatar_split_clause,[],[f350,f1830,f2170]) ).
fof(f2445,plain,
( ~ spl102_200
| ~ spl102_122 ),
inference(avatar_split_clause,[],[f340,f1813,f2174]) ).
fof(f2446,plain,
( ~ spl102_200
| ~ spl102_139 ),
inference(avatar_split_clause,[],[f341,f1885,f2174]) ).
fof(f2448,plain,
( ~ spl102_200
| spl102_107 ),
inference(avatar_split_clause,[],[f343,f1749,f2174]) ).
fof(f2449,plain,
( ~ spl102_200
| spl102_131 ),
inference(avatar_split_clause,[],[f344,f1851,f2174]) ).
fof(f2451,plain,
( ~ spl102_201
| ~ spl102_122 ),
inference(avatar_split_clause,[],[f334,f1813,f2178]) ).
fof(f2452,plain,
( ~ spl102_201
| ~ spl102_139 ),
inference(avatar_split_clause,[],[f335,f1885,f2178]) ).
fof(f2454,plain,
( ~ spl102_201
| spl102_123 ),
inference(avatar_split_clause,[],[f337,f1817,f2178]) ).
fof(f2455,plain,
( ~ spl102_201
| spl102_135 ),
inference(avatar_split_clause,[],[f338,f1868,f2178]) ).
fof(f2457,plain,
( ~ spl102_202
| ~ spl102_122 ),
inference(avatar_split_clause,[],[f328,f1813,f2182]) ).
fof(f2458,plain,
( ~ spl102_202
| ~ spl102_139 ),
inference(avatar_split_clause,[],[f329,f1885,f2182]) ).
fof(f2461,plain,
( ~ spl102_202
| spl102_139 ),
inference(avatar_split_clause,[],[f332,f1885,f2182]) ).
fof(f2466,plain,
( ~ spl102_203
| spl102_155 ),
inference(avatar_split_clause,[],[f325,f1953,f2186]) ).
fof(f2472,plain,
( ~ spl102_204
| spl102_112 ),
inference(avatar_split_clause,[],[f319,f1770,f2190]) ).
fof(f2478,plain,
( ~ spl102_205
| spl102_128 ),
inference(avatar_split_clause,[],[f313,f1838,f2194]) ).
fof(f2479,plain,
( ~ spl102_205
| spl102_152 ),
inference(avatar_split_clause,[],[f314,f1940,f2194]) ).
fof(f2485,plain,
( ~ spl102_206
| spl102_156 ),
inference(avatar_split_clause,[],[f308,f1957,f2198]) ).
fof(f2486,plain,
e12 = op1(e13,e10),
inference(forward_demodulation,[],[f301,f300]) ).
fof(f2487,plain,
spl102_159,
inference(avatar_split_clause,[],[f302,f1970]) ).
fof(f2503,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))
| sP11
| sP10
| sP9 ),
inference(forward_subsumption_resolution,[],[f293,f971]) ).
fof(f2519,definition,
( spl102_231
<=> e23 = h4(e11) ),
introduced(definition,[new_symbols(definition,[spl102_231])],[avatar_definition]) ).
fof(f2520,plain,
( e23 = h4(e11)
| ~ spl102_231 ),
inference(avatar_component_clause,[],[f2519]) ).
fof(f2521,plain,
( e23 != h4(e11)
| spl102_231 ),
inference(avatar_component_clause,[],[f2519]) ).
fof(f2539,definition,
( spl102_235
<=> e22 = h4(e11) ),
introduced(definition,[new_symbols(definition,[spl102_235])],[avatar_definition]) ).
fof(f2540,plain,
( e22 = h4(e11)
| ~ spl102_235 ),
inference(avatar_component_clause,[],[f2539]) ).
fof(f2559,definition,
( spl102_239
<=> e21 = h4(e11) ),
introduced(definition,[new_symbols(definition,[spl102_239])],[avatar_definition]) ).
fof(f2560,plain,
( e21 = h4(e11)
| ~ spl102_239 ),
inference(avatar_component_clause,[],[f2559]) ).
fof(f2579,definition,
( spl102_243
<=> e23 = h3(e11) ),
introduced(definition,[new_symbols(definition,[spl102_243])],[avatar_definition]) ).
fof(f2580,plain,
( e23 = h3(e11)
| ~ spl102_243 ),
inference(avatar_component_clause,[],[f2579]) ).
fof(f2599,definition,
( spl102_247
<=> e22 = h3(e11) ),
introduced(definition,[new_symbols(definition,[spl102_247])],[avatar_definition]) ).
fof(f2600,plain,
( e22 = h3(e11)
| ~ spl102_247 ),
inference(avatar_component_clause,[],[f2599]) ).
fof(f2619,definition,
( spl102_251
<=> e21 = h3(e11) ),
introduced(definition,[new_symbols(definition,[spl102_251])],[avatar_definition]) ).
fof(f2620,plain,
( e21 = h3(e11)
| ~ spl102_251 ),
inference(avatar_component_clause,[],[f2619]) ).
fof(f2639,definition,
( spl102_255
<=> e23 = h2(e11) ),
introduced(definition,[new_symbols(definition,[spl102_255])],[avatar_definition]) ).
fof(f2640,plain,
( e23 = h2(e11)
| ~ spl102_255 ),
inference(avatar_component_clause,[],[f2639]) ).
fof(f2659,definition,
( spl102_259
<=> e22 = h2(e11) ),
introduced(definition,[new_symbols(definition,[spl102_259])],[avatar_definition]) ).
fof(f2660,plain,
( e22 = h2(e11)
| ~ spl102_259 ),
inference(avatar_component_clause,[],[f2659]) ).
fof(f2679,definition,
( spl102_263
<=> e21 = h2(e11) ),
introduced(definition,[new_symbols(definition,[spl102_263])],[avatar_definition]) ).
fof(f2680,plain,
( e21 = h2(e11)
| ~ spl102_263 ),
inference(avatar_component_clause,[],[f2679]) ).
fof(f2681,plain,
( e21 != h2(e11)
| spl102_263 ),
inference(avatar_component_clause,[],[f2679]) ).
fof(f2685,definition,
( spl102_264
<=> sP9 ),
introduced(definition,[new_symbols(definition,[spl102_264])],[avatar_definition]) ).
fof(f2689,definition,
( spl102_265
<=> e23 = h1(e13) ),
introduced(definition,[new_symbols(definition,[spl102_265])],[avatar_definition]) ).
fof(f2690,plain,
( e23 = h1(e13)
| ~ spl102_265 ),
inference(avatar_component_clause,[],[f2689]) ).
fof(f2692,plain,
( ~ spl102_264
| ~ spl102_265 ),
inference(avatar_split_clause,[],[f238,f2689,f2685]) ).
fof(f2699,definition,
( spl102_267
<=> e23 = h1(e11) ),
introduced(definition,[new_symbols(definition,[spl102_267])],[avatar_definition]) ).
fof(f2700,plain,
( e23 = h1(e11)
| ~ spl102_267 ),
inference(avatar_component_clause,[],[f2699]) ).
fof(f2705,definition,
( spl102_268
<=> sP10 ),
introduced(definition,[new_symbols(definition,[spl102_268])],[avatar_definition]) ).
fof(f2714,definition,
( spl102_270
<=> e22 = h1(e12) ),
introduced(definition,[new_symbols(definition,[spl102_270])],[avatar_definition]) ).
fof(f2715,plain,
( e22 = h1(e12)
| ~ spl102_270 ),
inference(avatar_component_clause,[],[f2714]) ).
fof(f2717,plain,
( ~ spl102_268
| ~ spl102_270 ),
inference(avatar_split_clause,[],[f235,f2714,f2705]) ).
fof(f2719,definition,
( spl102_271
<=> e22 = h1(e11) ),
introduced(definition,[new_symbols(definition,[spl102_271])],[avatar_definition]) ).
fof(f2720,plain,
( e22 = h1(e11)
| ~ spl102_271 ),
inference(avatar_component_clause,[],[f2719]) ).
fof(f2725,definition,
( spl102_272
<=> sP11 ),
introduced(definition,[new_symbols(definition,[spl102_272])],[avatar_definition]) ).
fof(f2739,definition,
( spl102_275
<=> e21 = h1(e11) ),
introduced(definition,[new_symbols(definition,[spl102_275])],[avatar_definition]) ).
fof(f2740,plain,
( e21 = h1(e11)
| ~ spl102_275 ),
inference(avatar_component_clause,[],[f2739]) ).
fof(f2741,plain,
( e21 != h1(e11)
| spl102_275 ),
inference(avatar_component_clause,[],[f2739]) ).
fof(f2742,plain,
( ~ spl102_272
| ~ spl102_275 ),
inference(avatar_split_clause,[],[f232,f2739,f2725]) ).
fof(f2747,plain,
( spl102_13
| spl102_25
| spl102_37
| spl102_231 ),
inference(avatar_split_clause,[],[f1236,f2519,f1185,f1133,f1081]) ).
fof(f2748,plain,
( spl102_1
| spl102_5
| spl102_9
| spl102_231 ),
inference(avatar_split_clause,[],[f1237,f2519,f1064,f1047,f1030]) ).
fof(f2749,plain,
( spl102_14
| spl102_26
| spl102_38
| spl102_235 ),
inference(avatar_split_clause,[],[f1238,f2539,f1189,f1137,f1085]) ).
fof(f2751,plain,
( spl102_15
| spl102_27
| spl102_39
| spl102_239 ),
inference(avatar_split_clause,[],[f1240,f2559,f1193,f1141,f1089]) ).
fof(f2752,plain,
( spl102_3
| spl102_7
| spl102_11
| spl102_239 ),
inference(avatar_split_clause,[],[f1241,f2559,f1072,f1055,f1038]) ).
fof(f2754,definition,
( spl102_276
<=> e20 = h4(e11) ),
introduced(definition,[new_symbols(definition,[spl102_276])],[avatar_definition]) ).
fof(f2756,plain,
( e20 = h4(e11)
| ~ spl102_276 ),
inference(avatar_component_clause,[],[f2754]) ).
fof(f2757,plain,
( spl102_16
| spl102_28
| spl102_40
| spl102_276 ),
inference(avatar_split_clause,[],[f1242,f2754,f1197,f1145,f1093]) ).
fof(f2758,plain,
( spl102_4
| spl102_8
| spl102_12
| spl102_276 ),
inference(avatar_split_clause,[],[f1243,f2754,f1076,f1059,f1042]) ).
fof(f2759,plain,
( spl102_1
| spl102_29
| spl102_41
| spl102_243 ),
inference(avatar_split_clause,[],[f1244,f2579,f1202,f1150,f1030]) ).
fof(f2760,plain,
( spl102_13
| spl102_17
| spl102_21
| spl102_243 ),
inference(avatar_split_clause,[],[f1245,f2579,f1116,f1099,f1081]) ).
fof(f2761,plain,
( spl102_2
| spl102_30
| spl102_42
| spl102_247 ),
inference(avatar_split_clause,[],[f1246,f2599,f1206,f1154,f1034]) ).
fof(f2762,plain,
( spl102_14
| spl102_18
| spl102_22
| spl102_247 ),
inference(avatar_split_clause,[],[f1247,f2599,f1120,f1103,f1085]) ).
fof(f2763,plain,
( spl102_3
| spl102_31
| spl102_43
| spl102_251 ),
inference(avatar_split_clause,[],[f1248,f2619,f1210,f1158,f1038]) ).
fof(f2764,plain,
( spl102_15
| spl102_19
| spl102_23
| spl102_251 ),
inference(avatar_split_clause,[],[f1249,f2619,f1124,f1107,f1089]) ).
fof(f2766,definition,
( spl102_277
<=> e20 = h3(e11) ),
introduced(definition,[new_symbols(definition,[spl102_277])],[avatar_definition]) ).
fof(f2768,plain,
( e20 = h3(e11)
| ~ spl102_277 ),
inference(avatar_component_clause,[],[f2766]) ).
fof(f2769,plain,
( spl102_4
| spl102_32
| spl102_44
| spl102_277 ),
inference(avatar_split_clause,[],[f1250,f2766,f1214,f1162,f1042]) ).
fof(f2770,plain,
( spl102_16
| spl102_20
| spl102_24
| spl102_277 ),
inference(avatar_split_clause,[],[f1251,f2766,f1128,f1111,f1093]) ).
fof(f2772,plain,
( spl102_25
| spl102_29
| spl102_33
| spl102_255 ),
inference(avatar_split_clause,[],[f1253,f2639,f1168,f1150,f1133]) ).
fof(f2773,plain,
( spl102_6
| spl102_18
| spl102_46
| spl102_259 ),
inference(avatar_split_clause,[],[f1254,f2659,f1223,f1103,f1051]) ).
fof(f2774,plain,
( spl102_26
| spl102_30
| spl102_34
| spl102_259 ),
inference(avatar_split_clause,[],[f1255,f2659,f1172,f1154,f1137]) ).
fof(f2775,plain,
( spl102_7
| spl102_19
| spl102_47
| spl102_263 ),
inference(avatar_split_clause,[],[f1256,f2679,f1227,f1107,f1055]) ).
fof(f2776,plain,
( spl102_27
| spl102_31
| spl102_35
| spl102_263 ),
inference(avatar_split_clause,[],[f1257,f2679,f1176,f1158,f1141]) ).
fof(f2778,definition,
( spl102_278
<=> e20 = h2(e11) ),
introduced(definition,[new_symbols(definition,[spl102_278])],[avatar_definition]) ).
fof(f2780,plain,
( e20 = h2(e11)
| ~ spl102_278 ),
inference(avatar_component_clause,[],[f2778]) ).
fof(f2781,plain,
( spl102_8
| spl102_20
| spl102_48
| spl102_278 ),
inference(avatar_split_clause,[],[f1258,f2778,f1231,f1111,f1059]) ).
fof(f2782,plain,
( spl102_28
| spl102_32
| spl102_36
| spl102_278 ),
inference(avatar_split_clause,[],[f1259,f2778,f1180,f1162,f1145]) ).
fof(f2783,plain,
( spl102_9
| spl102_21
| spl102_33
| spl102_267 ),
inference(avatar_split_clause,[],[f1260,f2699,f1168,f1116,f1064]) ).
fof(f2786,plain,
( spl102_38
| spl102_42
| spl102_46
| spl102_271 ),
inference(avatar_split_clause,[],[f1263,f2719,f1223,f1206,f1189]) ).
fof(f2790,definition,
( spl102_279
<=> e20 = h1(e11) ),
introduced(definition,[new_symbols(definition,[spl102_279])],[avatar_definition]) ).
fof(f2791,plain,
( e20 != h1(e11)
| spl102_279 ),
inference(avatar_component_clause,[],[f2790]) ).
fof(f2792,plain,
( e20 = h1(e11)
| ~ spl102_279 ),
inference(avatar_component_clause,[],[f2790]) ).
fof(f2793,plain,
( spl102_12
| spl102_24
| spl102_36
| spl102_279 ),
inference(avatar_split_clause,[],[f1266,f2790,f1180,f1128,f1076]) ).
fof(f2794,plain,
( spl102_40
| spl102_44
| spl102_48
| spl102_279 ),
inference(avatar_split_clause,[],[f1267,f2790,f1231,f1214,f1197]) ).
fof(f2799,definition,
( spl102_280
<=> sP57 ),
introduced(definition,[new_symbols(definition,[spl102_280])],[avatar_definition]) ).
fof(f2803,definition,
( spl102_281
<=> sP58 ),
introduced(definition,[new_symbols(definition,[spl102_281])],[avatar_definition]) ).
fof(f2807,definition,
( spl102_282
<=> sP59 ),
introduced(definition,[new_symbols(definition,[spl102_282])],[avatar_definition]) ).
fof(f2811,definition,
( spl102_283
<=> sP60 ),
introduced(definition,[new_symbols(definition,[spl102_283])],[avatar_definition]) ).
fof(f2815,definition,
( spl102_284
<=> sP61 ),
introduced(definition,[new_symbols(definition,[spl102_284])],[avatar_definition]) ).
fof(f2819,definition,
( spl102_285
<=> sP62 ),
introduced(definition,[new_symbols(definition,[spl102_285])],[avatar_definition]) ).
fof(f2823,definition,
( spl102_286
<=> sP63 ),
introduced(definition,[new_symbols(definition,[spl102_286])],[avatar_definition]) ).
fof(f2827,definition,
( spl102_287
<=> sP64 ),
introduced(definition,[new_symbols(definition,[spl102_287])],[avatar_definition]) ).
fof(f2831,definition,
( spl102_288
<=> sP65 ),
introduced(definition,[new_symbols(definition,[spl102_288])],[avatar_definition]) ).
fof(f2835,definition,
( spl102_289
<=> sP66 ),
introduced(definition,[new_symbols(definition,[spl102_289])],[avatar_definition]) ).
fof(f2839,definition,
( spl102_290
<=> sP67 ),
introduced(definition,[new_symbols(definition,[spl102_290])],[avatar_definition]) ).
fof(f2843,definition,
( spl102_291
<=> sP68 ),
introduced(definition,[new_symbols(definition,[spl102_291])],[avatar_definition]) ).
fof(f2847,definition,
( spl102_292
<=> sP69 ),
introduced(definition,[new_symbols(definition,[spl102_292])],[avatar_definition]) ).
fof(f2851,definition,
( spl102_293
<=> sP70 ),
introduced(definition,[new_symbols(definition,[spl102_293])],[avatar_definition]) ).
fof(f2855,definition,
( spl102_294
<=> sP71 ),
introduced(definition,[new_symbols(definition,[spl102_294])],[avatar_definition]) ).
fof(f2859,plain,
( spl102_280
| spl102_281
| spl102_282
| spl102_283
| spl102_284
| spl102_285
| spl102_286
| spl102_287
| spl102_288
| spl102_289
| spl102_290
| spl102_291
| spl102_292
| spl102_293
| spl102_294
| spl102_279 ),
inference(avatar_split_clause,[],[f1296,f2790,f2855,f2851,f2847,f2843,f2839,f2835,f2831,f2827,f2823,f2819,f2815,f2811,f2807,f2803,f2799]) ).
fof(f2867,plain,
( spl102_64
| spl102_65
| spl102_66
| spl102_67
| spl102_68
| spl102_69
| spl102_70
| spl102_71
| spl102_72
| spl102_73
| spl102_74
| spl102_75
| spl102_76
| spl102_77
| spl102_78
| spl102_279 ),
inference(avatar_split_clause,[],[f1424,f2790,f1416,f1412,f1408,f1404,f1400,f1396,f1392,f1388,f1384,f1380,f1376,f1372,f1368,f1364,f1360]) ).
fof(f2868,plain,
( ~ spl102_280
| ~ spl102_231 ),
inference(avatar_split_clause,[],[f1425,f2519,f2799]) ).
fof(f2872,plain,
( ~ spl102_280
| spl102_231 ),
inference(avatar_split_clause,[],[f1429,f2519,f2799]) ).
fof(f2877,plain,
( ~ spl102_281
| spl102_235 ),
inference(avatar_split_clause,[],[f1434,f2539,f2803]) ).
fof(f2881,plain,
( ~ spl102_282
| ~ spl102_28
| ~ spl102_8
| ~ spl102_239 ),
inference(avatar_split_clause,[],[f1438,f2559,f1059,f1145,f2807]) ).
fof(f2882,plain,
( ~ spl102_282
| spl102_239 ),
inference(avatar_split_clause,[],[f1439,f2559,f2807]) ).
fof(f2884,plain,
( ~ spl102_283
| ~ spl102_38
| ~ spl102_10
| ~ spl102_276 ),
inference(avatar_split_clause,[],[f1441,f2754,f1068,f1189,f2811]) ).
fof(f2887,plain,
( ~ spl102_283
| spl102_276 ),
inference(avatar_split_clause,[],[f1444,f2754,f2811]) ).
fof(f2890,plain,
( ~ spl102_284
| ~ spl102_3
| ~ spl102_15
| ~ spl102_243 ),
inference(avatar_split_clause,[],[f1447,f2579,f1089,f1038,f2815]) ).
fof(f2892,plain,
( ~ spl102_284
| spl102_243 ),
inference(avatar_split_clause,[],[f1449,f2579,f2815]) ).
fof(f2894,plain,
( ~ spl102_285
| ~ spl102_247 ),
inference(avatar_split_clause,[],[f1451,f2599,f2819]) ).
fof(f2897,plain,
( ~ spl102_285
| spl102_247 ),
inference(avatar_split_clause,[],[f1454,f2599,f2819]) ).
fof(f2899,plain,
( ~ spl102_286
| ~ spl102_30
| ~ spl102_18
| ~ spl102_251 ),
inference(avatar_split_clause,[],[f1456,f2619,f1103,f1154,f2823]) ).
fof(f2902,plain,
( ~ spl102_286
| spl102_251 ),
inference(avatar_split_clause,[],[f1459,f2619,f2823]) ).
fof(f2907,plain,
( ~ spl102_287
| spl102_277 ),
inference(avatar_split_clause,[],[f1464,f2766,f2827]) ).
fof(f2912,plain,
( ~ spl102_288
| spl102_255 ),
inference(avatar_split_clause,[],[f1469,f2639,f2831]) ).
fof(f2915,plain,
( ~ spl102_289
| ~ spl102_19
| ~ spl102_31
| ~ spl102_259 ),
inference(avatar_split_clause,[],[f1472,f2659,f1158,f1107,f2835]) ).
fof(f2917,plain,
( ~ spl102_289
| spl102_259 ),
inference(avatar_split_clause,[],[f1474,f2659,f2835]) ).
fof(f2920,plain,
( ~ spl102_290
| ~ spl102_263 ),
inference(avatar_split_clause,[],[f1477,f2679,f2839]) ).
fof(f2922,plain,
( ~ spl102_290
| spl102_263 ),
inference(avatar_split_clause,[],[f1479,f2679,f2839]) ).
fof(f2923,plain,
( ~ spl102_291
| ~ spl102_45
| ~ spl102_33
| ~ spl102_278 ),
inference(avatar_split_clause,[],[f1480,f2778,f1168,f1219,f2843]) ).
fof(f2927,plain,
( ~ spl102_291
| spl102_278 ),
inference(avatar_split_clause,[],[f1484,f2778,f2843]) ).
fof(f2932,plain,
( ~ spl102_292
| spl102_267 ),
inference(avatar_split_clause,[],[f1489,f2699,f2847]) ).
fof(f2937,plain,
( ~ spl102_293
| spl102_271 ),
inference(avatar_split_clause,[],[f1494,f2719,f2851]) ).
fof(f2938,plain,
( ~ spl102_294
| ~ spl102_33
| ~ spl102_45
| ~ spl102_275 ),
inference(avatar_split_clause,[],[f1495,f2739,f1219,f1168,f2855]) ).
fof(f2946,plain,
( ~ spl102_64
| ~ spl102_231 ),
inference(avatar_split_clause,[],[f1614,f2519,f1360]) ).
fof(f2948,plain,
( ~ spl102_64
| spl102_231 ),
inference(avatar_split_clause,[],[f1619,f2519,f1360]) ).
fof(f2953,plain,
( ~ spl102_69
| ~ spl102_247 ),
inference(avatar_split_clause,[],[f1645,f2599,f1380]) ).
fof(f2955,plain,
( ~ spl102_69
| spl102_247 ),
inference(avatar_split_clause,[],[f1649,f2599,f1380]) ).
fof(f2960,plain,
( ~ spl102_74
| ~ spl102_263 ),
inference(avatar_split_clause,[],[f1676,f2679,f1400]) ).
fof(f2962,plain,
( ~ spl102_74
| spl102_263 ),
inference(avatar_split_clause,[],[f1679,f2679,f1400]) ).
fof(f2967,plain,
spl102_110,
inference(avatar_split_clause,[],[f2486,f1762]) ).
fof(f2983,plain,
( op2(e20,e20) != h1(op1(e10,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))
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f2503,f971]) ).
fof(f3017,plain,
( h1(e11) != h1(op1(e10,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))
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f2983,f970]) ).
fof(f3036,plain,
( h1(op1(e10,e11)) != op2(e20,h1(e11))
| h1(e11) != h1(op1(e10,e10))
| 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))
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f3017,f971]) ).
fof(f3055,plain,
( e23 != h1(op1(e10,e11))
| h1(e11) != h1(op1(e10,e10))
| 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))
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f3036,f1704]) ).
fof(f3071,plain,
( h1(op1(e10,e12)) != op2(e20,h1(e12))
| e23 != h1(op1(e10,e11))
| h1(e11) != h1(op1(e10,e10))
| 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))
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f3055,f971]) ).
fof(f3087,plain,
( h1(op1(e10,e13)) != op2(e20,h1(e13))
| h1(op1(e10,e12)) != op2(e20,h1(e12))
| e23 != h1(op1(e10,e11))
| h1(e11) != h1(op1(e10,e10))
| 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))
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f3071,f971]) ).
fof(f3103,plain,
( h1(op1(e11,e10)) != op2(h1(e11),e20)
| h1(op1(e10,e13)) != op2(e20,h1(e13))
| h1(op1(e10,e12)) != op2(e20,h1(e12))
| e23 != h1(op1(e10,e11))
| h1(e11) != h1(op1(e10,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))
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f3087,f971]) ).
fof(f3119,plain,
( h1(op1(e12,e10)) != op2(h1(e12),e20)
| h1(op1(e11,e10)) != op2(h1(e11),e20)
| h1(op1(e10,e13)) != op2(e20,h1(e13))
| h1(op1(e10,e12)) != op2(e20,h1(e12))
| e23 != h1(op1(e10,e11))
| h1(e11) != h1(op1(e10,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,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))
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f3103,f971]) ).
fof(f3351,plain,
( h1(op1(e13,e10)) != op2(h1(e13),e20)
| h1(op1(e12,e10)) != op2(h1(e12),e20)
| h1(op1(e11,e10)) != op2(h1(e11),e20)
| h1(op1(e10,e13)) != op2(e20,h1(e13))
| h1(op1(e10,e12)) != op2(e20,h1(e12))
| e23 != h1(op1(e10,e11))
| h1(e11) != h1(op1(e10,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,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,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f3119,f971]) ).
fof(f3353,definition,
( spl102_350
<=> h1(op1(e13,e13)) = op2(h1(e13),h1(e13)) ),
introduced(definition,[new_symbols(definition,[spl102_350])],[avatar_definition]) ).
fof(f3355,plain,
( h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| spl102_350 ),
inference(avatar_component_clause,[],[f3353]) ).
fof(f3357,definition,
( spl102_351
<=> h1(op1(e13,e12)) = op2(h1(e13),h1(e12)) ),
introduced(definition,[new_symbols(definition,[spl102_351])],[avatar_definition]) ).
fof(f3359,plain,
( h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| spl102_351 ),
inference(avatar_component_clause,[],[f3357]) ).
fof(f3361,definition,
( spl102_352
<=> h1(op1(e13,e11)) = op2(h1(e13),h1(e11)) ),
introduced(definition,[new_symbols(definition,[spl102_352])],[avatar_definition]) ).
fof(f3363,plain,
( h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| spl102_352 ),
inference(avatar_component_clause,[],[f3361]) ).
fof(f3365,definition,
( spl102_353
<=> h1(op1(e12,e13)) = op2(h1(e12),h1(e13)) ),
introduced(definition,[new_symbols(definition,[spl102_353])],[avatar_definition]) ).
fof(f3367,plain,
( h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| spl102_353 ),
inference(avatar_component_clause,[],[f3365]) ).
fof(f3369,definition,
( spl102_354
<=> h1(op1(e12,e12)) = op2(h1(e12),h1(e12)) ),
introduced(definition,[new_symbols(definition,[spl102_354])],[avatar_definition]) ).
fof(f3371,plain,
( h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| spl102_354 ),
inference(avatar_component_clause,[],[f3369]) ).
fof(f3373,definition,
( spl102_355
<=> h1(op1(e12,e11)) = op2(h1(e12),h1(e11)) ),
introduced(definition,[new_symbols(definition,[spl102_355])],[avatar_definition]) ).
fof(f3375,plain,
( h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| spl102_355 ),
inference(avatar_component_clause,[],[f3373]) ).
fof(f3377,definition,
( spl102_356
<=> h1(op1(e11,e13)) = op2(h1(e11),h1(e13)) ),
introduced(definition,[new_symbols(definition,[spl102_356])],[avatar_definition]) ).
fof(f3379,plain,
( h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| spl102_356 ),
inference(avatar_component_clause,[],[f3377]) ).
fof(f3381,definition,
( spl102_357
<=> h1(op1(e11,e12)) = op2(h1(e11),h1(e12)) ),
introduced(definition,[new_symbols(definition,[spl102_357])],[avatar_definition]) ).
fof(f3383,plain,
( h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| spl102_357 ),
inference(avatar_component_clause,[],[f3381]) ).
fof(f3385,definition,
( spl102_358
<=> h1(op1(e11,e11)) = op2(h1(e11),h1(e11)) ),
introduced(definition,[new_symbols(definition,[spl102_358])],[avatar_definition]) ).
fof(f3387,plain,
( h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| spl102_358 ),
inference(avatar_component_clause,[],[f3385]) ).
fof(f3389,definition,
( spl102_359
<=> h1(e11) = h1(op1(e10,e10)) ),
introduced(definition,[new_symbols(definition,[spl102_359])],[avatar_definition]) ).
fof(f3391,plain,
( h1(e11) != h1(op1(e10,e10))
| spl102_359 ),
inference(avatar_component_clause,[],[f3389]) ).
fof(f3393,definition,
( spl102_360
<=> e23 = h1(op1(e10,e11)) ),
introduced(definition,[new_symbols(definition,[spl102_360])],[avatar_definition]) ).
fof(f3395,plain,
( e23 != h1(op1(e10,e11))
| spl102_360 ),
inference(avatar_component_clause,[],[f3393]) ).
fof(f3397,definition,
( spl102_361
<=> h1(op1(e10,e12)) = op2(e20,h1(e12)) ),
introduced(definition,[new_symbols(definition,[spl102_361])],[avatar_definition]) ).
fof(f3399,plain,
( h1(op1(e10,e12)) != op2(e20,h1(e12))
| spl102_361 ),
inference(avatar_component_clause,[],[f3397]) ).
fof(f3401,definition,
( spl102_362
<=> h1(op1(e10,e13)) = op2(e20,h1(e13)) ),
introduced(definition,[new_symbols(definition,[spl102_362])],[avatar_definition]) ).
fof(f3403,plain,
( h1(op1(e10,e13)) != op2(e20,h1(e13))
| spl102_362 ),
inference(avatar_component_clause,[],[f3401]) ).
fof(f3405,definition,
( spl102_363
<=> h1(op1(e11,e10)) = op2(h1(e11),e20) ),
introduced(definition,[new_symbols(definition,[spl102_363])],[avatar_definition]) ).
fof(f3407,plain,
( h1(op1(e11,e10)) != op2(h1(e11),e20)
| spl102_363 ),
inference(avatar_component_clause,[],[f3405]) ).
fof(f3409,definition,
( spl102_364
<=> h1(op1(e12,e10)) = op2(h1(e12),e20) ),
introduced(definition,[new_symbols(definition,[spl102_364])],[avatar_definition]) ).
fof(f3411,plain,
( h1(op1(e12,e10)) != op2(h1(e12),e20)
| spl102_364 ),
inference(avatar_component_clause,[],[f3409]) ).
fof(f3413,definition,
( spl102_365
<=> h1(e12) = h1(op1(e13,e10)) ),
introduced(definition,[new_symbols(definition,[spl102_365])],[avatar_definition]) ).
fof(f3415,plain,
( h1(e12) != h1(op1(e13,e10))
| spl102_365 ),
inference(avatar_component_clause,[],[f3413]) ).
fof(f3423,plain,
( h1(e12) != h1(op1(e13,e10))
| h1(op1(e12,e10)) != op2(h1(e12),e20)
| h1(op1(e11,e10)) != op2(h1(e11),e20)
| h1(op1(e10,e13)) != op2(e20,h1(e13))
| h1(op1(e10,e12)) != op2(e20,h1(e12))
| e23 != h1(op1(e10,e11))
| h1(e11) != h1(op1(e10,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,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,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| sP11
| sP10
| sP9 ),
inference(forward_demodulation,[],[f3351,f1027]) ).
fof(f3424,plain,
( spl102_264
| spl102_268
| spl102_272
| ~ spl102_350
| ~ spl102_351
| ~ spl102_352
| ~ spl102_353
| ~ spl102_354
| ~ spl102_355
| ~ spl102_356
| ~ spl102_357
| ~ spl102_358
| ~ spl102_359
| ~ spl102_360
| ~ spl102_361
| ~ spl102_362
| ~ spl102_363
| ~ spl102_364
| ~ spl102_365 ),
inference(avatar_split_clause,[],[f3423,f3413,f3409,f3405,f3401,f3397,f3393,f3389,f3385,f3381,f3377,f3373,f3369,f3365,f3361,f3357,f3353,f2725,f2705,f2685]) ).
fof(f3448,plain,
( h1(e11) != h1(e11)
| ~ spl102_159
| spl102_359 ),
inference(forward_demodulation,[],[f3391,f1972]) ).
fof(f3449,plain,
( $false
| ~ spl102_159
| spl102_359 ),
inference(trivial_inequality_removal,[],[f3448]) ).
fof(f3450,plain,
( ~ spl102_159
| spl102_359 ),
inference(avatar_contradiction_clause,[],[f3449]) ).
fof(f3458,plain,
( e21 = e23
| ~ spl102_5
| ~ spl102_7 ),
inference(forward_demodulation,[],[f1049,f1057]) ).
fof(f3463,plain,
( h1(e13) != op2(h1(e13),h1(e12))
| ~ spl102_101
| spl102_351 ),
inference(forward_demodulation,[],[f3359,f1726]) ).
fof(f3464,plain,
( e21 = op2(e21,e21)
| ~ spl102_7
| ~ spl102_81 ),
inference(forward_demodulation,[],[f1516,f1057]) ).
fof(f3466,plain,
( $false
| ~ spl102_5
| ~ spl102_7 ),
inference(forward_subsumption_resolution,[],[f3458,f867]) ).
fof(f3467,plain,
( ~ spl102_5
| ~ spl102_7 ),
inference(avatar_contradiction_clause,[],[f3466]) ).
fof(f3470,plain,
( e20 = e21
| ~ spl102_19
| ~ spl102_20 ),
inference(forward_demodulation,[],[f1109,f1113]) ).
fof(f3472,plain,
( e21 = e23
| ~ spl102_33
| ~ spl102_35 ),
inference(forward_demodulation,[],[f1170,f1178]) ).
fof(f3478,plain,
( $false
| ~ spl102_19
| ~ spl102_20 ),
inference(forward_subsumption_resolution,[],[f3470,f871]) ).
fof(f3479,plain,
( ~ spl102_19
| ~ spl102_20 ),
inference(avatar_contradiction_clause,[],[f3478]) ).
fof(f3480,plain,
( $false
| ~ spl102_33
| ~ spl102_35 ),
inference(forward_subsumption_resolution,[],[f3472,f867]) ).
fof(f3481,plain,
( ~ spl102_33
| ~ spl102_35 ),
inference(avatar_contradiction_clause,[],[f3480]) ).
fof(f3486,plain,
( e21 = e22
| ~ spl102_2
| ~ spl102_3 ),
inference(superposition,[],[f1040,f1036]) ).
fof(f3491,plain,
( $false
| ~ spl102_2
| ~ spl102_3 ),
inference(forward_subsumption_resolution,[],[f3486,f868]) ).
fof(f3492,plain,
( ~ spl102_2
| ~ spl102_3 ),
inference(avatar_contradiction_clause,[],[f3491]) ).
fof(f3494,plain,
( e21 = e22
| ~ spl102_235
| ~ spl102_239 ),
inference(superposition,[],[f2560,f2540]) ).
fof(f3498,plain,
( $false
| ~ spl102_235
| ~ spl102_239 ),
inference(forward_subsumption_resolution,[],[f3494,f868]) ).
fof(f3499,plain,
( ~ spl102_235
| ~ spl102_239 ),
inference(avatar_contradiction_clause,[],[f3498]) ).
fof(f3502,plain,
( e21 = e23
| ~ spl102_243
| ~ spl102_251 ),
inference(superposition,[],[f2620,f2580]) ).
fof(f3503,plain,
( e21 = e23
| ~ spl102_243
| ~ spl102_251 ),
inference(superposition,[],[f2580,f2620]) ).
fof(f3504,plain,
( $false
| ~ spl102_243
| ~ spl102_251 ),
inference(forward_subsumption_resolution,[],[f3503,f867]) ).
fof(f3505,plain,
( ~ spl102_243
| ~ spl102_251 ),
inference(avatar_contradiction_clause,[],[f3504]) ).
fof(f3506,plain,
( $false
| ~ spl102_243
| ~ spl102_251 ),
inference(forward_subsumption_resolution,[],[f3502,f867]) ).
fof(f3507,plain,
( ~ spl102_243
| ~ spl102_251 ),
inference(avatar_contradiction_clause,[],[f3506]) ).
fof(f3508,plain,
( e22 = e23
| ~ spl102_13
| ~ spl102_14 ),
inference(forward_demodulation,[],[f1083,f1087]) ).
fof(f3513,plain,
( $false
| ~ spl102_13
| ~ spl102_14 ),
inference(forward_subsumption_resolution,[],[f3508,f866]) ).
fof(f3514,plain,
( ~ spl102_13
| ~ spl102_14 ),
inference(avatar_contradiction_clause,[],[f3513]) ).
fof(f3519,plain,
( e21 = e23
| ~ spl102_13
| ~ spl102_15 ),
inference(forward_demodulation,[],[f1083,f1091]) ).
fof(f3520,plain,
( $false
| ~ spl102_13
| ~ spl102_15 ),
inference(forward_subsumption_resolution,[],[f3519,f867]) ).
fof(f3521,plain,
( ~ spl102_13
| ~ spl102_15 ),
inference(avatar_contradiction_clause,[],[f3520]) ).
fof(f3533,plain,
( e20 = e22
| ~ spl102_30
| ~ spl102_32 ),
inference(forward_demodulation,[],[f1156,f1164]) ).
fof(f3534,plain,
( $false
| ~ spl102_30
| ~ spl102_32 ),
inference(forward_subsumption_resolution,[],[f3533,f870]) ).
fof(f3535,plain,
( ~ spl102_30
| ~ spl102_32 ),
inference(avatar_contradiction_clause,[],[f3534]) ).
fof(f3537,plain,
( e22 = e23
| ~ spl102_255
| ~ spl102_259 ),
inference(superposition,[],[f2660,f2640]) ).
fof(f3541,plain,
( $false
| ~ spl102_255
| ~ spl102_259 ),
inference(forward_subsumption_resolution,[],[f3537,f866]) ).
fof(f3542,plain,
( ~ spl102_255
| ~ spl102_259 ),
inference(avatar_contradiction_clause,[],[f3541]) ).
fof(f3545,plain,
( e21 = e23
| ~ spl102_25
| ~ spl102_27 ),
inference(superposition,[],[f1143,f1135]) ).
fof(f3549,plain,
( $false
| ~ spl102_25
| ~ spl102_27 ),
inference(forward_subsumption_resolution,[],[f3545,f867]) ).
fof(f3550,plain,
( ~ spl102_25
| ~ spl102_27 ),
inference(avatar_contradiction_clause,[],[f3549]) ).
fof(f3557,plain,
( e20 = op2(e21,e22)
| ~ spl102_20
| ~ spl102_87 ),
inference(forward_demodulation,[],[f1553,f1113]) ).
fof(f3559,plain,
( e21 = e22
| ~ spl102_259
| ~ spl102_263 ),
inference(superposition,[],[f2680,f2660]) ).
fof(f3560,plain,
( e21 = e22
| ~ spl102_259
| ~ spl102_263 ),
inference(superposition,[],[f2660,f2680]) ).
fof(f3561,plain,
( $false
| ~ spl102_259
| ~ spl102_263 ),
inference(forward_subsumption_resolution,[],[f3560,f868]) ).
fof(f3562,plain,
( ~ spl102_259
| ~ spl102_263 ),
inference(avatar_contradiction_clause,[],[f3561]) ).
fof(f3563,plain,
( $false
| ~ spl102_259
| ~ spl102_263 ),
inference(forward_subsumption_resolution,[],[f3559,f868]) ).
fof(f3564,plain,
( ~ spl102_259
| ~ spl102_263 ),
inference(avatar_contradiction_clause,[],[f3563]) ).
fof(f3569,plain,
( spl102_32
| ~ spl102_20
| ~ spl102_87 ),
inference(avatar_split_clause,[],[f3557,f1551,f1111,f1162]) ).
fof(f3583,plain,
( e20 = e22
| ~ spl102_2
| ~ spl102_4 ),
inference(superposition,[],[f1044,f1036]) ).
fof(f3588,plain,
( $false
| ~ spl102_2
| ~ spl102_4 ),
inference(forward_subsumption_resolution,[],[f3583,f870]) ).
fof(f3589,plain,
( ~ spl102_2
| ~ spl102_4 ),
inference(avatar_contradiction_clause,[],[f3588]) ).
fof(f3591,plain,
( e20 = e22
| ~ spl102_18
| ~ spl102_20 ),
inference(forward_demodulation,[],[f1105,f1113]) ).
fof(f3597,plain,
( $false
| ~ spl102_18
| ~ spl102_20 ),
inference(forward_subsumption_resolution,[],[f3591,f870]) ).
fof(f3598,plain,
( ~ spl102_18
| ~ spl102_20 ),
inference(avatar_contradiction_clause,[],[f3597]) ).
fof(f3600,plain,
( e21 = e22
| ~ spl102_26
| ~ spl102_27 ),
inference(forward_demodulation,[],[f1139,f1143]) ).
fof(f3604,plain,
( $false
| ~ spl102_26
| ~ spl102_27 ),
inference(forward_subsumption_resolution,[],[f3600,f868]) ).
fof(f3605,plain,
( ~ spl102_26
| ~ spl102_27 ),
inference(avatar_contradiction_clause,[],[f3604]) ).
fof(f3614,plain,
( e20 = e21
| ~ spl102_251
| ~ spl102_277 ),
inference(superposition,[],[f2768,f2620]) ).
fof(f3615,plain,
( e20 = e21
| ~ spl102_251
| ~ spl102_277 ),
inference(superposition,[],[f2620,f2768]) ).
fof(f3616,plain,
( $false
| ~ spl102_251
| ~ spl102_277 ),
inference(forward_subsumption_resolution,[],[f3615,f871]) ).
fof(f3617,plain,
( ~ spl102_251
| ~ spl102_277 ),
inference(avatar_contradiction_clause,[],[f3616]) ).
fof(f3618,plain,
( $false
| ~ spl102_251
| ~ spl102_277 ),
inference(forward_subsumption_resolution,[],[f3614,f871]) ).
fof(f3619,plain,
( ~ spl102_251
| ~ spl102_277 ),
inference(avatar_contradiction_clause,[],[f3618]) ).
fof(f3620,plain,
( e20 = e22
| ~ spl102_10
| ~ spl102_12 ),
inference(forward_demodulation,[],[f1070,f1078]) ).
fof(f3624,plain,
( $false
| ~ spl102_10
| ~ spl102_12 ),
inference(forward_subsumption_resolution,[],[f3620,f870]) ).
fof(f3625,plain,
( ~ spl102_10
| ~ spl102_12 ),
inference(avatar_contradiction_clause,[],[f3624]) ).
fof(f3636,plain,
( e20 = e21
| ~ spl102_3
| ~ spl102_4 ),
inference(forward_demodulation,[],[f1040,f1044]) ).
fof(f3647,plain,
( e22 = op2(e20,e23)
| ~ spl102_10
| ~ spl102_84 ),
inference(forward_demodulation,[],[f1533,f1070]) ).
fof(f3648,plain,
( $false
| ~ spl102_3
| ~ spl102_4 ),
inference(forward_subsumption_resolution,[],[f3636,f871]) ).
fof(f3649,plain,
( ~ spl102_3
| ~ spl102_4 ),
inference(avatar_contradiction_clause,[],[f3648]) ).
fof(f3653,plain,
( e20 = e22
| ~ spl102_10
| ~ spl102_40
| ~ spl102_84 ),
inference(forward_demodulation,[],[f3647,f1199]) ).
fof(f3654,plain,
( $false
| ~ spl102_10
| ~ spl102_40
| ~ spl102_84 ),
inference(forward_subsumption_resolution,[],[f3653,f870]) ).
fof(f3655,plain,
( ~ spl102_10
| ~ spl102_40
| ~ spl102_84 ),
inference(avatar_contradiction_clause,[],[f3654]) ).
fof(f3693,plain,
( e22 = e23
| ~ spl102_29
| ~ spl102_30 ),
inference(forward_demodulation,[],[f1152,f1156]) ).
fof(f3700,plain,
( $false
| ~ spl102_29
| ~ spl102_30 ),
inference(forward_subsumption_resolution,[],[f3693,f866]) ).
fof(f3701,plain,
( ~ spl102_29
| ~ spl102_30 ),
inference(avatar_contradiction_clause,[],[f3700]) ).
fof(f3705,plain,
( e22 = e23
| ~ spl102_41
| ~ spl102_42 ),
inference(forward_demodulation,[],[f1204,f1208]) ).
fof(f3708,plain,
( $false
| ~ spl102_41
| ~ spl102_42 ),
inference(forward_subsumption_resolution,[],[f3705,f866]) ).
fof(f3709,plain,
( ~ spl102_41
| ~ spl102_42 ),
inference(avatar_contradiction_clause,[],[f3708]) ).
fof(f3714,plain,
( e22 = e23
| ~ spl102_45
| ~ spl102_46 ),
inference(forward_demodulation,[],[f1221,f1225]) ).
fof(f3718,plain,
( $false
| ~ spl102_45
| ~ spl102_46 ),
inference(forward_subsumption_resolution,[],[f3714,f866]) ).
fof(f3719,plain,
( ~ spl102_45
| ~ spl102_46 ),
inference(avatar_contradiction_clause,[],[f3718]) ).
fof(f3721,plain,
( e20 = e23
| ~ spl102_17
| ~ spl102_20 ),
inference(forward_demodulation,[],[f1101,f1113]) ).
fof(f3723,plain,
( e20 = e22
| ~ spl102_259
| ~ spl102_278 ),
inference(forward_demodulation,[],[f2660,f2780]) ).
fof(f3734,plain,
( e23 = op2(e23,e22)
| ~ spl102_14
| ~ spl102_85 ),
inference(forward_demodulation,[],[f1538,f1087]) ).
fof(f3736,plain,
( $false
| ~ spl102_17
| ~ spl102_20 ),
inference(forward_subsumption_resolution,[],[f3721,f869]) ).
fof(f3737,plain,
( ~ spl102_17
| ~ spl102_20 ),
inference(avatar_contradiction_clause,[],[f3736]) ).
fof(f3738,plain,
( $false
| ~ spl102_259
| ~ spl102_278 ),
inference(forward_subsumption_resolution,[],[f3723,f870]) ).
fof(f3739,plain,
( ~ spl102_259
| ~ spl102_278 ),
inference(avatar_contradiction_clause,[],[f3738]) ).
fof(f3741,plain,
( $false
| spl102_1
| ~ spl102_14
| ~ spl102_85 ),
inference(forward_subsumption_resolution,[],[f3734,f1031]) ).
fof(f3742,plain,
( spl102_1
| ~ spl102_14
| ~ spl102_85 ),
inference(avatar_contradiction_clause,[],[f3741]) ).
fof(f3745,plain,
( e21 = e23
| ~ spl102_231
| ~ spl102_239 ),
inference(forward_demodulation,[],[f2520,f2560]) ).
fof(f3753,plain,
( $false
| ~ spl102_231
| ~ spl102_239 ),
inference(forward_subsumption_resolution,[],[f3745,f867]) ).
fof(f3754,plain,
( ~ spl102_231
| ~ spl102_239 ),
inference(avatar_contradiction_clause,[],[f3753]) ).
fof(f3757,plain,
( e22 = e23
| ~ spl102_9
| ~ spl102_10 ),
inference(forward_demodulation,[],[f1066,f1070]) ).
fof(f3763,plain,
( $false
| ~ spl102_9
| ~ spl102_10 ),
inference(forward_subsumption_resolution,[],[f3757,f866]) ).
fof(f3764,plain,
( ~ spl102_9
| ~ spl102_10 ),
inference(avatar_contradiction_clause,[],[f3763]) ).
fof(f3773,plain,
( e20 = e21
| ~ spl102_239
| ~ spl102_276 ),
inference(superposition,[],[f2756,f2560]) ).
fof(f3778,plain,
( $false
| ~ spl102_239
| ~ spl102_276 ),
inference(forward_subsumption_resolution,[],[f3773,f871]) ).
fof(f3779,plain,
( ~ spl102_239
| ~ spl102_276 ),
inference(avatar_contradiction_clause,[],[f3778]) ).
fof(f3808,plain,
( e20 = e22
| ~ spl102_14
| ~ spl102_16 ),
inference(superposition,[],[f1095,f1087]) ).
fof(f3814,plain,
( $false
| ~ spl102_14
| ~ spl102_16 ),
inference(forward_subsumption_resolution,[],[f3808,f870]) ).
fof(f3815,plain,
( ~ spl102_14
| ~ spl102_16 ),
inference(avatar_contradiction_clause,[],[f3814]) ).
fof(f3817,plain,
( e22 = e23
| ~ spl102_5
| ~ spl102_6 ),
inference(forward_demodulation,[],[f1049,f1053]) ).
fof(f3829,plain,
( $false
| ~ spl102_5
| ~ spl102_6 ),
inference(forward_subsumption_resolution,[],[f3817,f866]) ).
fof(f3830,plain,
( ~ spl102_5
| ~ spl102_6 ),
inference(avatar_contradiction_clause,[],[f3829]) ).
fof(f3845,plain,
( e20 = e22
| ~ spl102_38
| ~ spl102_40 ),
inference(forward_demodulation,[],[f1191,f1199]) ).
fof(f3858,plain,
( $false
| ~ spl102_38
| ~ spl102_40 ),
inference(forward_subsumption_resolution,[],[f3845,f870]) ).
fof(f3859,plain,
( ~ spl102_38
| ~ spl102_40 ),
inference(avatar_contradiction_clause,[],[f3858]) ).
fof(f3884,plain,
( e20 = e23
| ~ spl102_5
| ~ spl102_8 ),
inference(superposition,[],[f1061,f1049]) ).
fof(f3890,plain,
( $false
| ~ spl102_5
| ~ spl102_8 ),
inference(forward_subsumption_resolution,[],[f3884,f869]) ).
fof(f3891,plain,
( ~ spl102_5
| ~ spl102_8 ),
inference(avatar_contradiction_clause,[],[f3890]) ).
fof(f3893,plain,
( e21 = e23
| ~ spl102_45
| ~ spl102_47 ),
inference(forward_demodulation,[],[f1221,f1229]) ).
fof(f3896,plain,
( $false
| ~ spl102_45
| ~ spl102_47 ),
inference(forward_subsumption_resolution,[],[f3893,f867]) ).
fof(f3897,plain,
( ~ spl102_45
| ~ spl102_47 ),
inference(avatar_contradiction_clause,[],[f3896]) ).
fof(f3901,plain,
( e20 = e21
| ~ spl102_7
| ~ spl102_8 ),
inference(forward_demodulation,[],[f1057,f1061]) ).
fof(f3907,plain,
( e20 = e23
| ~ spl102_45
| ~ spl102_48 ),
inference(forward_demodulation,[],[f1221,f1233]) ).
fof(f3908,plain,
( $false
| ~ spl102_7
| ~ spl102_8 ),
inference(forward_subsumption_resolution,[],[f3901,f871]) ).
fof(f3909,plain,
( ~ spl102_7
| ~ spl102_8 ),
inference(avatar_contradiction_clause,[],[f3908]) ).
fof(f3915,plain,
( $false
| ~ spl102_45
| ~ spl102_48 ),
inference(forward_subsumption_resolution,[],[f3907,f869]) ).
fof(f3916,plain,
( ~ spl102_45
| ~ spl102_48 ),
inference(avatar_contradiction_clause,[],[f3915]) ).
fof(f3927,plain,
( e20 = e21
| ~ spl102_15
| ~ spl102_16 ),
inference(superposition,[],[f1095,f1091]) ).
fof(f3932,plain,
( $false
| ~ spl102_15
| ~ spl102_16 ),
inference(forward_subsumption_resolution,[],[f3927,f871]) ).
fof(f3933,plain,
( ~ spl102_15
| ~ spl102_16 ),
inference(avatar_contradiction_clause,[],[f3932]) ).
fof(f3950,plain,
( e20 = e23
| ~ spl102_29
| ~ spl102_32 ),
inference(superposition,[],[f1164,f1152]) ).
fof(f3956,plain,
( $false
| ~ spl102_29
| ~ spl102_32 ),
inference(forward_subsumption_resolution,[],[f3950,f869]) ).
fof(f3957,plain,
( ~ spl102_29
| ~ spl102_32 ),
inference(avatar_contradiction_clause,[],[f3956]) ).
fof(f4002,plain,
( e12 = e13
| ~ spl102_101
| ~ spl102_102 ),
inference(superposition,[],[f1730,f1726]) ).
fof(f4006,plain,
( $false
| ~ spl102_101
| ~ spl102_102 ),
inference(forward_subsumption_resolution,[],[f4002,f294]) ).
fof(f4007,plain,
( ~ spl102_101
| ~ spl102_102 ),
inference(avatar_contradiction_clause,[],[f4006]) ).
fof(f4009,plain,
( e11 = e13
| ~ spl102_105
| ~ spl102_107 ),
inference(forward_demodulation,[],[f1743,f1751]) ).
fof(f4013,plain,
( $false
| ~ spl102_105
| ~ spl102_107 ),
inference(forward_subsumption_resolution,[],[f4009,f295]) ).
fof(f4014,plain,
( ~ spl102_105
| ~ spl102_107 ),
inference(avatar_contradiction_clause,[],[f4013]) ).
fof(f4018,plain,
( e10 = e12
| ~ spl102_150
| ~ spl102_152 ),
inference(forward_demodulation,[],[f1934,f1942]) ).
fof(f4019,plain,
( e10 = e13
| ~ spl102_105
| ~ spl102_108 ),
inference(forward_demodulation,[],[f1743,f1755]) ).
fof(f4022,plain,
( e11 = op1(e12,e13)
| ~ spl102_103
| ~ spl102_209 ),
inference(forward_demodulation,[],[f2296,f1734]) ).
fof(f4024,plain,
( $false
| ~ spl102_150
| ~ spl102_152 ),
inference(forward_subsumption_resolution,[],[f4018,f298]) ).
fof(f4025,plain,
( ~ spl102_150
| ~ spl102_152 ),
inference(avatar_contradiction_clause,[],[f4024]) ).
fof(f4026,plain,
( $false
| ~ spl102_105
| ~ spl102_108 ),
inference(forward_subsumption_resolution,[],[f4019,f297]) ).
fof(f4027,plain,
( ~ spl102_105
| ~ spl102_108 ),
inference(avatar_contradiction_clause,[],[f4026]) ).
fof(f4029,plain,
( spl102_115
| ~ spl102_103
| ~ spl102_209 ),
inference(avatar_split_clause,[],[f4022,f2294,f1732,f1783]) ).
fof(f4035,plain,
( e10 = op1(e12,e13)
| ~ spl102_104
| ~ spl102_209 ),
inference(forward_demodulation,[],[f2296,f1738]) ).
fof(f4039,plain,
( spl102_116
| ~ spl102_104
| ~ spl102_209 ),
inference(avatar_split_clause,[],[f4035,f2294,f1736,f1787]) ).
fof(f4043,plain,
( e13 = op1(e12,e13)
| ~ spl102_101
| ~ spl102_209 ),
inference(forward_demodulation,[],[f2296,f1726]) ).
fof(f4050,plain,
( e11 = e12
| ~ spl102_110
| ~ spl102_111 ),
inference(superposition,[],[f1768,f1764]) ).
fof(f4055,plain,
( $false
| ~ spl102_110
| ~ spl102_111 ),
inference(forward_subsumption_resolution,[],[f4050,f296]) ).
fof(f4056,plain,
( ~ spl102_110
| ~ spl102_111 ),
inference(avatar_contradiction_clause,[],[f4055]) ).
fof(f4060,plain,
( e12 = e13
| ~ spl102_113
| ~ spl102_114 ),
inference(superposition,[],[f1781,f1777]) ).
fof(f4064,plain,
( $false
| ~ spl102_113
| ~ spl102_114 ),
inference(forward_subsumption_resolution,[],[f4060,f294]) ).
fof(f4065,plain,
( ~ spl102_113
| ~ spl102_114 ),
inference(avatar_contradiction_clause,[],[f4064]) ).
fof(f4067,plain,
( e12 = e13
| ~ spl102_129
| ~ spl102_130 ),
inference(forward_demodulation,[],[f1845,f1849]) ).
fof(f4069,plain,
( e12 = e13
| ~ spl102_101
| ~ spl102_114
| ~ spl102_209 ),
inference(forward_demodulation,[],[f4043,f1781]) ).
fof(f4070,plain,
( $false
| ~ spl102_129
| ~ spl102_130 ),
inference(forward_subsumption_resolution,[],[f4067,f294]) ).
fof(f4071,plain,
( ~ spl102_129
| ~ spl102_130 ),
inference(avatar_contradiction_clause,[],[f4070]) ).
fof(f4074,plain,
( $false
| ~ spl102_101
| ~ spl102_114
| ~ spl102_209 ),
inference(forward_subsumption_resolution,[],[f4069,f294]) ).
fof(f4075,plain,
( ~ spl102_101
| ~ spl102_114
| ~ spl102_209 ),
inference(avatar_contradiction_clause,[],[f4074]) ).
fof(f4077,plain,
( e11 = e12
| ~ spl102_118
| ~ spl102_119 ),
inference(forward_demodulation,[],[f1798,f1802]) ).
fof(f4079,plain,
( e11 = e13
| ~ spl102_129
| ~ spl102_131 ),
inference(forward_demodulation,[],[f1845,f1853]) ).
fof(f4081,plain,
( $false
| ~ spl102_118
| ~ spl102_119 ),
inference(forward_subsumption_resolution,[],[f4077,f296]) ).
fof(f4082,plain,
( ~ spl102_118
| ~ spl102_119 ),
inference(avatar_contradiction_clause,[],[f4081]) ).
fof(f4083,plain,
( $false
| ~ spl102_129
| ~ spl102_131 ),
inference(forward_subsumption_resolution,[],[f4079,f295]) ).
fof(f4084,plain,
( ~ spl102_129
| ~ spl102_131 ),
inference(avatar_contradiction_clause,[],[f4083]) ).
fof(f4090,plain,
( e10 = e13
| ~ spl102_129
| ~ spl102_132 ),
inference(forward_demodulation,[],[f1845,f1857]) ).
fof(f4092,plain,
( $false
| ~ spl102_129
| ~ spl102_132 ),
inference(forward_subsumption_resolution,[],[f4090,f297]) ).
fof(f4093,plain,
( ~ spl102_129
| ~ spl102_132 ),
inference(avatar_contradiction_clause,[],[f4092]) ).
fof(f4102,plain,
( e11 = e12
| ~ spl102_114
| ~ spl102_115 ),
inference(superposition,[],[f1785,f1781]) ).
fof(f4107,plain,
( $false
| ~ spl102_114
| ~ spl102_115 ),
inference(forward_subsumption_resolution,[],[f4102,f296]) ).
fof(f4108,plain,
( ~ spl102_114
| ~ spl102_115 ),
inference(avatar_contradiction_clause,[],[f4107]) ).
fof(f4110,plain,
( e10 = e11
| ~ spl102_123
| ~ spl102_124 ),
inference(forward_demodulation,[],[f1819,f1823]) ).
fof(f4111,plain,
( $false
| ~ spl102_123
| ~ spl102_124 ),
inference(forward_subsumption_resolution,[],[f4110,f299]) ).
fof(f4112,plain,
( ~ spl102_123
| ~ spl102_124 ),
inference(avatar_contradiction_clause,[],[f4111]) ).
fof(f4114,plain,
( e10 = e11
| ~ spl102_107
| ~ spl102_108 ),
inference(superposition,[],[f1755,f1751]) ).
fof(f4115,plain,
( e10 = e11
| ~ spl102_107
| ~ spl102_108 ),
inference(superposition,[],[f1751,f1755]) ).
fof(f4117,plain,
( $false
| ~ spl102_107
| ~ spl102_108 ),
inference(forward_subsumption_resolution,[],[f4115,f299]) ).
fof(f4118,plain,
( ~ spl102_107
| ~ spl102_108 ),
inference(avatar_contradiction_clause,[],[f4117]) ).
fof(f4119,plain,
( $false
| ~ spl102_107
| ~ spl102_108 ),
inference(forward_subsumption_resolution,[],[f4114,f299]) ).
fof(f4120,plain,
( ~ spl102_107
| ~ spl102_108 ),
inference(avatar_contradiction_clause,[],[f4119]) ).
fof(f4124,plain,
( e11 = e12
| ~ spl102_122
| ~ spl102_123 ),
inference(forward_demodulation,[],[f1815,f1819]) ).
fof(f4127,plain,
( $false
| ~ spl102_122
| ~ spl102_123 ),
inference(forward_subsumption_resolution,[],[f4124,f296]) ).
fof(f4128,plain,
( ~ spl102_122
| ~ spl102_123 ),
inference(avatar_contradiction_clause,[],[f4127]) ).
fof(f4130,plain,
( e10 = e11
| ~ spl102_127
| ~ spl102_128 ),
inference(forward_demodulation,[],[f1836,f1840]) ).
fof(f4131,plain,
( $false
| ~ spl102_127
| ~ spl102_128 ),
inference(forward_subsumption_resolution,[],[f4130,f299]) ).
fof(f4132,plain,
( ~ spl102_127
| ~ spl102_128 ),
inference(avatar_contradiction_clause,[],[f4131]) ).
fof(f4134,plain,
( e11 = e13
| ~ spl102_101
| ~ spl102_103 ),
inference(superposition,[],[f1734,f1726]) ).
fof(f4139,plain,
( $false
| ~ spl102_101
| ~ spl102_103 ),
inference(forward_subsumption_resolution,[],[f4134,f295]) ).
fof(f4140,plain,
( ~ spl102_101
| ~ spl102_103 ),
inference(avatar_contradiction_clause,[],[f4139]) ).
fof(f4141,plain,
( e10 = e11
| ~ spl102_99
| ~ spl102_100 ),
inference(forward_demodulation,[],[f1717,f1721]) ).
fof(f4143,plain,
( $false
| ~ spl102_99
| ~ spl102_100 ),
inference(forward_subsumption_resolution,[],[f4141,f299]) ).
fof(f4144,plain,
( ~ spl102_99
| ~ spl102_100 ),
inference(avatar_contradiction_clause,[],[f4143]) ).
fof(f4149,plain,
( e12 = e13
| ~ spl102_121
| ~ spl102_122 ),
inference(superposition,[],[f1815,f1811]) ).
fof(f4153,plain,
( $false
| ~ spl102_121
| ~ spl102_122 ),
inference(forward_subsumption_resolution,[],[f4149,f294]) ).
fof(f4154,plain,
( ~ spl102_121
| ~ spl102_122 ),
inference(avatar_contradiction_clause,[],[f4153]) ).
fof(f4156,plain,
( e10 = e13
| ~ spl102_125
| ~ spl102_128 ),
inference(forward_demodulation,[],[f1828,f1840]) ).
fof(f4160,plain,
( $false
| ~ spl102_125
| ~ spl102_128 ),
inference(forward_subsumption_resolution,[],[f4156,f297]) ).
fof(f4161,plain,
( ~ spl102_125
| ~ spl102_128 ),
inference(avatar_contradiction_clause,[],[f4160]) ).
fof(f4164,plain,
( e10 = e13
| ~ spl102_121
| ~ spl102_124 ),
inference(forward_demodulation,[],[f1811,f1823]) ).
fof(f4167,plain,
( e10 = op1(e11,e12)
| ~ spl102_124
| ~ spl102_217 ),
inference(forward_demodulation,[],[f2338,f1823]) ).
fof(f4170,plain,
( $false
| ~ spl102_121
| ~ spl102_124 ),
inference(forward_subsumption_resolution,[],[f4164,f297]) ).
fof(f4171,plain,
( ~ spl102_121
| ~ spl102_124 ),
inference(avatar_contradiction_clause,[],[f4170]) ).
fof(f4172,plain,
( spl102_136
| ~ spl102_124
| ~ spl102_217 ),
inference(avatar_split_clause,[],[f4167,f2336,f1821,f1872]) ).
fof(f4174,plain,
( e10 = e12
| ~ spl102_98
| ~ spl102_100 ),
inference(forward_demodulation,[],[f1713,f1721]) ).
fof(f4179,plain,
( $false
| ~ spl102_98
| ~ spl102_100 ),
inference(forward_subsumption_resolution,[],[f4174,f298]) ).
fof(f4180,plain,
( ~ spl102_98
| ~ spl102_100 ),
inference(avatar_contradiction_clause,[],[f4179]) ).
fof(f4193,plain,
( e12 = op1(e10,e13)
| ~ spl102_110
| ~ spl102_213 ),
inference(forward_demodulation,[],[f2316,f1764]) ).
fof(f4202,plain,
( e11 = e12
| ~ spl102_134
| ~ spl102_135 ),
inference(superposition,[],[f1870,f1866]) ).
fof(f4203,plain,
( e11 = e12
| ~ spl102_134
| ~ spl102_135 ),
inference(superposition,[],[f1866,f1870]) ).
fof(f4204,plain,
( $false
| ~ spl102_134
| ~ spl102_135 ),
inference(forward_subsumption_resolution,[],[f4203,f296]) ).
fof(f4205,plain,
( ~ spl102_134
| ~ spl102_135 ),
inference(avatar_contradiction_clause,[],[f4204]) ).
fof(f4206,plain,
( $false
| ~ spl102_134
| ~ spl102_135 ),
inference(forward_subsumption_resolution,[],[f4202,f296]) ).
fof(f4207,plain,
( ~ spl102_134
| ~ spl102_135 ),
inference(avatar_contradiction_clause,[],[f4206]) ).
fof(f4214,plain,
( e12 = e13
| ~ spl102_117
| ~ spl102_118 ),
inference(superposition,[],[f1798,f1794]) ).
fof(f4218,plain,
( $false
| ~ spl102_117
| ~ spl102_118 ),
inference(forward_subsumption_resolution,[],[f4214,f294]) ).
fof(f4219,plain,
( ~ spl102_117
| ~ spl102_118 ),
inference(avatar_contradiction_clause,[],[f4218]) ).
fof(f4223,plain,
( e11 = e12
| ~ spl102_110
| ~ spl102_147
| ~ spl102_213 ),
inference(forward_demodulation,[],[f4193,f1921]) ).
fof(f4225,plain,
( $false
| ~ spl102_110
| ~ spl102_147
| ~ spl102_213 ),
inference(forward_subsumption_resolution,[],[f4223,f296]) ).
fof(f4226,plain,
( ~ spl102_110
| ~ spl102_147
| ~ spl102_213 ),
inference(avatar_contradiction_clause,[],[f4225]) ).
fof(f4231,plain,
( e11 = e13
| ~ spl102_121
| ~ spl102_123 ),
inference(superposition,[],[f1819,f1811]) ).
fof(f4236,plain,
( $false
| ~ spl102_121
| ~ spl102_123 ),
inference(forward_subsumption_resolution,[],[f4231,f295]) ).
fof(f4237,plain,
( ~ spl102_121
| ~ spl102_123 ),
inference(avatar_contradiction_clause,[],[f4236]) ).
fof(f4256,plain,
( e12 = e13
| ~ spl102_137
| ~ spl102_138 ),
inference(superposition,[],[f1883,f1879]) ).
fof(f4260,plain,
( $false
| ~ spl102_137
| ~ spl102_138 ),
inference(forward_subsumption_resolution,[],[f4256,f294]) ).
fof(f4261,plain,
( ~ spl102_137
| ~ spl102_138 ),
inference(avatar_contradiction_clause,[],[f4260]) ).
fof(f4264,plain,
( e10 = e13
| ~ spl102_141
| ~ spl102_144 ),
inference(superposition,[],[f1908,f1896]) ).
fof(f4265,plain,
( e10 = e13
| ~ spl102_141
| ~ spl102_144 ),
inference(superposition,[],[f1896,f1908]) ).
fof(f4266,plain,
( $false
| ~ spl102_141
| ~ spl102_144 ),
inference(forward_subsumption_resolution,[],[f4265,f297]) ).
fof(f4267,plain,
( ~ spl102_141
| ~ spl102_144 ),
inference(avatar_contradiction_clause,[],[f4266]) ).
fof(f4268,plain,
( $false
| ~ spl102_141
| ~ spl102_144 ),
inference(forward_subsumption_resolution,[],[f4264,f297]) ).
fof(f4269,plain,
( ~ spl102_141
| ~ spl102_144 ),
inference(avatar_contradiction_clause,[],[f4268]) ).
fof(f4282,plain,
( e11 = e12
| ~ spl102_138
| ~ spl102_139 ),
inference(superposition,[],[f1887,f1883]) ).
fof(f4286,plain,
( $false
| ~ spl102_138
| ~ spl102_139 ),
inference(forward_subsumption_resolution,[],[f4282,f296]) ).
fof(f4287,plain,
( ~ spl102_138
| ~ spl102_139 ),
inference(avatar_contradiction_clause,[],[f4286]) ).
fof(f4294,plain,
( e10 = e13
| ~ spl102_149
| ~ spl102_152 ),
inference(superposition,[],[f1930,f1942]) ).
fof(f4295,plain,
( $false
| ~ spl102_149
| ~ spl102_152 ),
inference(forward_subsumption_resolution,[],[f4294,f297]) ).
fof(f4296,plain,
( ~ spl102_149
| ~ spl102_152 ),
inference(avatar_contradiction_clause,[],[f4295]) ).
fof(f4314,plain,
( e12 = e13
| ~ spl102_145
| ~ spl102_146 ),
inference(superposition,[],[f1917,f1913]) ).
fof(f4320,plain,
( $false
| ~ spl102_145
| ~ spl102_146 ),
inference(forward_subsumption_resolution,[],[f4314,f294]) ).
fof(f4321,plain,
( ~ spl102_145
| ~ spl102_146 ),
inference(avatar_contradiction_clause,[],[f4320]) ).
fof(f4324,plain,
( e11 = e13
| ~ spl102_157
| ~ spl102_159 ),
inference(forward_demodulation,[],[f1964,f1972]) ).
fof(f4327,plain,
( $false
| ~ spl102_157
| ~ spl102_159 ),
inference(forward_subsumption_resolution,[],[f4324,f295]) ).
fof(f4328,plain,
( ~ spl102_157
| ~ spl102_159 ),
inference(avatar_contradiction_clause,[],[f4327]) ).
fof(f4330,plain,
( e12 = e13
| ~ spl102_153
| ~ spl102_154 ),
inference(forward_demodulation,[],[f1947,f1951]) ).
fof(f4334,plain,
( $false
| ~ spl102_153
| ~ spl102_154 ),
inference(forward_subsumption_resolution,[],[f4330,f294]) ).
fof(f4335,plain,
( ~ spl102_153
| ~ spl102_154 ),
inference(avatar_contradiction_clause,[],[f4334]) ).
fof(f4336,plain,
( e10 = e12
| ~ spl102_106
| ~ spl102_108 ),
inference(forward_demodulation,[],[f1747,f1755]) ).
fof(f4340,plain,
( e11 = e13
| ~ spl102_153
| ~ spl102_155 ),
inference(forward_demodulation,[],[f1947,f1955]) ).
fof(f4341,plain,
( $false
| ~ spl102_106
| ~ spl102_108 ),
inference(forward_subsumption_resolution,[],[f4336,f298]) ).
fof(f4342,plain,
( ~ spl102_106
| ~ spl102_108 ),
inference(avatar_contradiction_clause,[],[f4341]) ).
fof(f4343,plain,
( $false
| ~ spl102_153
| ~ spl102_155 ),
inference(forward_subsumption_resolution,[],[f4340,f295]) ).
fof(f4344,plain,
( ~ spl102_153
| ~ spl102_155 ),
inference(avatar_contradiction_clause,[],[f4343]) ).
fof(f4349,plain,
( e10 = e13
| ~ spl102_153
| ~ spl102_156 ),
inference(forward_demodulation,[],[f1947,f1959]) ).
fof(f4352,plain,
( $false
| ~ spl102_153
| ~ spl102_156 ),
inference(forward_subsumption_resolution,[],[f4349,f297]) ).
fof(f4353,plain,
( ~ spl102_153
| ~ spl102_156 ),
inference(avatar_contradiction_clause,[],[f4352]) ).
fof(f4364,plain,
( e10 = e12
| ~ spl102_110
| ~ spl102_112 ),
inference(superposition,[],[f1772,f1764]) ).
fof(f4369,plain,
( $false
| ~ spl102_110
| ~ spl102_112 ),
inference(forward_subsumption_resolution,[],[f4364,f298]) ).
fof(f4370,plain,
( ~ spl102_110
| ~ spl102_112 ),
inference(avatar_contradiction_clause,[],[f4369]) ).
fof(f4372,plain,
( e11 = e13
| ~ spl102_117
| ~ spl102_119 ),
inference(forward_demodulation,[],[f1794,f1802]) ).
fof(f4377,plain,
( $false
| ~ spl102_117
| ~ spl102_119 ),
inference(forward_subsumption_resolution,[],[f4372,f295]) ).
fof(f4378,plain,
( ~ spl102_117
| ~ spl102_119 ),
inference(avatar_contradiction_clause,[],[f4377]) ).
fof(f4383,plain,
( e10 = e11
| ~ spl102_115
| ~ spl102_116 ),
inference(forward_demodulation,[],[f1785,f1789]) ).
fof(f4384,plain,
( e10 = e11
| ~ spl102_151
| ~ spl102_152 ),
inference(forward_demodulation,[],[f1938,f1942]) ).
fof(f4387,plain,
( $false
| ~ spl102_115
| ~ spl102_116 ),
inference(forward_subsumption_resolution,[],[f4383,f299]) ).
fof(f4388,plain,
( ~ spl102_115
| ~ spl102_116 ),
inference(avatar_contradiction_clause,[],[f4387]) ).
fof(f4389,plain,
( $false
| ~ spl102_151
| ~ spl102_152 ),
inference(forward_subsumption_resolution,[],[f4384,f299]) ).
fof(f4390,plain,
( ~ spl102_151
| ~ spl102_152 ),
inference(avatar_contradiction_clause,[],[f4389]) ).
fof(f4410,plain,
( e12 = op1(e12,e11)
| ~ spl102_135
| ~ spl102_221 ),
inference(forward_demodulation,[],[f2359,f1870]) ).
fof(f4412,plain,
( e10 = e12
| ~ spl102_102
| ~ spl102_104 ),
inference(superposition,[],[f1738,f1730]) ).
fof(f4417,plain,
( $false
| ~ spl102_102
| ~ spl102_104 ),
inference(forward_subsumption_resolution,[],[f4412,f298]) ).
fof(f4418,plain,
( ~ spl102_102
| ~ spl102_104 ),
inference(avatar_contradiction_clause,[],[f4417]) ).
fof(f4419,plain,
( e11 = e13
| ~ spl102_97
| ~ spl102_99 ),
inference(forward_demodulation,[],[f1709,f1717]) ).
fof(f4421,plain,
( $false
| ~ spl102_97
| ~ spl102_99 ),
inference(forward_subsumption_resolution,[],[f4419,f295]) ).
fof(f4422,plain,
( ~ spl102_97
| ~ spl102_99 ),
inference(avatar_contradiction_clause,[],[f4421]) ).
fof(f4424,plain,
( e12 = e13
| ~ spl102_109
| ~ spl102_110 ),
inference(forward_demodulation,[],[f1760,f1764]) ).
fof(f4427,plain,
( e11 = e12
| ~ spl102_158
| ~ spl102_159 ),
inference(forward_demodulation,[],[f1968,f1972]) ).
fof(f4428,plain,
( e12 = op1(e12,e13)
| ~ spl102_102
| ~ spl102_209 ),
inference(forward_demodulation,[],[f2296,f1730]) ).
fof(f4431,plain,
( e12 != op1(e10,e13)
| ~ spl102_110
| spl102_213 ),
inference(forward_demodulation,[],[f2315,f1764]) ).
fof(f4434,plain,
( $false
| ~ spl102_109
| ~ spl102_110 ),
inference(forward_subsumption_resolution,[],[f4424,f294]) ).
fof(f4435,plain,
( ~ spl102_109
| ~ spl102_110 ),
inference(avatar_contradiction_clause,[],[f4434]) ).
fof(f4436,plain,
( $false
| ~ spl102_158
| ~ spl102_159 ),
inference(forward_subsumption_resolution,[],[f4427,f296]) ).
fof(f4437,plain,
( ~ spl102_158
| ~ spl102_159 ),
inference(avatar_contradiction_clause,[],[f4436]) ).
fof(f4438,plain,
( $false
| ~ spl102_102
| spl102_114
| ~ spl102_209 ),
inference(forward_subsumption_resolution,[],[f4428,f1780]) ).
fof(f4439,plain,
( ~ spl102_102
| spl102_114
| ~ spl102_209 ),
inference(avatar_contradiction_clause,[],[f4438]) ).
fof(f4465,plain,
( $false
| ~ spl102_110
| ~ spl102_146
| spl102_213 ),
inference(forward_subsumption_resolution,[],[f4431,f1917]) ).
fof(f4466,plain,
( ~ spl102_110
| ~ spl102_146
| spl102_213 ),
inference(avatar_contradiction_clause,[],[f4465]) ).
fof(f4503,plain,
( e10 = e12
| ~ spl102_126
| ~ spl102_128 ),
inference(forward_demodulation,[],[f1832,f1840]) ).
fof(f4507,plain,
( e11 = op1(e11,e10)
| ~ spl102_124
| ~ spl102_216 ),
inference(forward_demodulation,[],[f2333,f1823]) ).
fof(f4508,plain,
( $false
| spl102_122
| ~ spl102_135
| ~ spl102_221 ),
inference(forward_subsumption_resolution,[],[f4410,f1814]) ).
fof(f4509,plain,
( spl102_122
| ~ spl102_135
| ~ spl102_221 ),
inference(avatar_contradiction_clause,[],[f4508]) ).
fof(f4510,plain,
( $false
| ~ spl102_126
| ~ spl102_128 ),
inference(forward_subsumption_resolution,[],[f4503,f298]) ).
fof(f4511,plain,
( ~ spl102_126
| ~ spl102_128 ),
inference(avatar_contradiction_clause,[],[f4510]) ).
fof(f4512,plain,
( spl102_143
| ~ spl102_124
| ~ spl102_216 ),
inference(avatar_split_clause,[],[f4507,f2331,f1821,f1902]) ).
fof(f4513,plain,
( e11 = e13
| ~ spl102_113
| ~ spl102_115 ),
inference(forward_demodulation,[],[f1777,f1785]) ).
fof(f4515,plain,
( e10 = e12
| ~ spl102_118
| ~ spl102_120 ),
inference(forward_demodulation,[],[f1798,f1806]) ).
fof(f4519,plain,
( $false
| ~ spl102_113
| ~ spl102_115 ),
inference(forward_subsumption_resolution,[],[f4513,f295]) ).
fof(f4520,plain,
( ~ spl102_113
| ~ spl102_115 ),
inference(avatar_contradiction_clause,[],[f4519]) ).
fof(f4521,plain,
( $false
| ~ spl102_118
| ~ spl102_120 ),
inference(forward_subsumption_resolution,[],[f4515,f298]) ).
fof(f4522,plain,
( ~ spl102_118
| ~ spl102_120 ),
inference(avatar_contradiction_clause,[],[f4521]) ).
fof(f4524,plain,
( e10 = e13
| ~ spl102_117
| ~ spl102_120 ),
inference(forward_demodulation,[],[f1794,f1806]) ).
fof(f4526,plain,
( e10 = e12
| ~ spl102_122
| ~ spl102_124 ),
inference(forward_demodulation,[],[f1815,f1823]) ).
fof(f4530,plain,
( e10 = e12
| ~ spl102_134
| ~ spl102_136 ),
inference(forward_demodulation,[],[f1866,f1874]) ).
fof(f4536,plain,
( $false
| ~ spl102_117
| ~ spl102_120 ),
inference(forward_subsumption_resolution,[],[f4524,f297]) ).
fof(f4537,plain,
( ~ spl102_117
| ~ spl102_120 ),
inference(avatar_contradiction_clause,[],[f4536]) ).
fof(f4538,plain,
( $false
| ~ spl102_122
| ~ spl102_124 ),
inference(forward_subsumption_resolution,[],[f4526,f298]) ).
fof(f4539,plain,
( ~ spl102_122
| ~ spl102_124 ),
inference(avatar_contradiction_clause,[],[f4538]) ).
fof(f4546,plain,
( $false
| ~ spl102_134
| ~ spl102_136 ),
inference(forward_subsumption_resolution,[],[f4530,f298]) ).
fof(f4547,plain,
( ~ spl102_134
| ~ spl102_136 ),
inference(avatar_contradiction_clause,[],[f4546]) ).
fof(f4561,plain,
( e11 != op1(e12,e13)
| ~ spl102_103
| spl102_209 ),
inference(forward_demodulation,[],[f2295,f1734]) ).
fof(f4566,plain,
( $false
| ~ spl102_103
| ~ spl102_115
| spl102_209 ),
inference(forward_subsumption_resolution,[],[f4561,f1785]) ).
fof(f4567,plain,
( ~ spl102_103
| ~ spl102_115
| spl102_209 ),
inference(avatar_contradiction_clause,[],[f4566]) ).
fof(f4592,plain,
( e10 = e11
| ~ spl102_103
| ~ spl102_104 ),
inference(superposition,[],[f1738,f1734]) ).
fof(f4597,plain,
( $false
| ~ spl102_103
| ~ spl102_104 ),
inference(forward_subsumption_resolution,[],[f4592,f299]) ).
fof(f4598,plain,
( ~ spl102_103
| ~ spl102_104 ),
inference(avatar_contradiction_clause,[],[f4597]) ).
fof(f4610,plain,
( e11 = e12
| ~ spl102_98
| ~ spl102_99 ),
inference(superposition,[],[f1717,f1713]) ).
fof(f4614,plain,
( $false
| ~ spl102_98
| ~ spl102_99 ),
inference(forward_subsumption_resolution,[],[f4610,f296]) ).
fof(f4615,plain,
( ~ spl102_98
| ~ spl102_99 ),
inference(avatar_contradiction_clause,[],[f4614]) ).
fof(f4629,plain,
( e12 = e13
| ~ spl102_105
| ~ spl102_106 ),
inference(superposition,[],[f1747,f1743]) ).
fof(f4634,plain,
( $false
| ~ spl102_105
| ~ spl102_106 ),
inference(forward_subsumption_resolution,[],[f4629,f294]) ).
fof(f4635,plain,
( ~ spl102_105
| ~ spl102_106 ),
inference(avatar_contradiction_clause,[],[f4634]) ).
fof(f4638,plain,
( e10 = e12
| ~ spl102_138
| ~ spl102_140 ),
inference(forward_demodulation,[],[f1883,f1891]) ).
fof(f4641,plain,
( $false
| ~ spl102_138
| ~ spl102_140 ),
inference(forward_subsumption_resolution,[],[f4638,f298]) ).
fof(f4642,plain,
( ~ spl102_138
| ~ spl102_140 ),
inference(avatar_contradiction_clause,[],[f4641]) ).
fof(f4646,plain,
( e10 = e13
| ~ spl102_113
| ~ spl102_116 ),
inference(superposition,[],[f1789,f1777]) ).
fof(f4651,plain,
( $false
| ~ spl102_113
| ~ spl102_116 ),
inference(forward_subsumption_resolution,[],[f4646,f297]) ).
fof(f4652,plain,
( ~ spl102_113
| ~ spl102_116 ),
inference(avatar_contradiction_clause,[],[f4651]) ).
fof(f4725,plain,
( e10 = e13
| ~ spl102_97
| ~ spl102_100 ),
inference(superposition,[],[f1721,f1709]) ).
fof(f4729,plain,
( $false
| ~ spl102_97
| ~ spl102_100 ),
inference(forward_subsumption_resolution,[],[f4725,f297]) ).
fof(f4730,plain,
( ~ spl102_97
| ~ spl102_100 ),
inference(avatar_contradiction_clause,[],[f4729]) ).
fof(f4736,plain,
( e11 = e12
| ~ spl102_106
| ~ spl102_107 ),
inference(superposition,[],[f1751,f1747]) ).
fof(f4741,plain,
( $false
| ~ spl102_106
| ~ spl102_107 ),
inference(forward_subsumption_resolution,[],[f4736,f296]) ).
fof(f4742,plain,
( ~ spl102_106
| ~ spl102_107 ),
inference(avatar_contradiction_clause,[],[f4741]) ).
fof(f4743,plain,
( e10 = e13
| ~ spl102_101
| ~ spl102_104 ),
inference(forward_demodulation,[],[f1726,f1738]) ).
fof(f4764,plain,
( $false
| ~ spl102_101
| ~ spl102_104 ),
inference(forward_subsumption_resolution,[],[f4743,f297]) ).
fof(f4765,plain,
( ~ spl102_101
| ~ spl102_104 ),
inference(avatar_contradiction_clause,[],[f4764]) ).
fof(f4781,plain,
( e13 = op1(e13,e11)
| ~ spl102_131
| ~ spl102_220 ),
inference(forward_demodulation,[],[f2353,f1853]) ).
fof(f4790,plain,
( $false
| spl102_105
| ~ spl102_131
| ~ spl102_220 ),
inference(forward_subsumption_resolution,[],[f4781,f1742]) ).
fof(f4791,plain,
( spl102_105
| ~ spl102_131
| ~ spl102_220 ),
inference(avatar_contradiction_clause,[],[f4790]) ).
fof(f4793,plain,
( e11 = op1(e11,e11)
| ~ spl102_107
| ~ spl102_210 ),
inference(forward_demodulation,[],[f2301,f1751]) ).
fof(f4824,plain,
( e10 = e13
| ~ spl102_137
| ~ spl102_140 ),
inference(forward_demodulation,[],[f1879,f1891]) ).
fof(f4833,plain,
( $false
| ~ spl102_137
| ~ spl102_140 ),
inference(forward_subsumption_resolution,[],[f4824,f297]) ).
fof(f4834,plain,
( ~ spl102_137
| ~ spl102_140 ),
inference(avatar_contradiction_clause,[],[f4833]) ).
fof(f4908,plain,
( e11 = e13
| ~ spl102_141
| ~ spl102_143 ),
inference(superposition,[],[f1904,f1896]) ).
fof(f4912,plain,
( $false
| ~ spl102_141
| ~ spl102_143 ),
inference(forward_subsumption_resolution,[],[f4908,f295]) ).
fof(f4913,plain,
( ~ spl102_141
| ~ spl102_143 ),
inference(avatar_contradiction_clause,[],[f4912]) ).
fof(f4914,plain,
( e12 = e13
| ~ spl102_125
| ~ spl102_126 ),
inference(forward_demodulation,[],[f1828,f1832]) ).
fof(f4920,plain,
( $false
| ~ spl102_125
| ~ spl102_126 ),
inference(forward_subsumption_resolution,[],[f4914,f294]) ).
fof(f4921,plain,
( ~ spl102_125
| ~ spl102_126 ),
inference(avatar_contradiction_clause,[],[f4920]) ).
fof(f4941,plain,
( e11 = e13
| ~ spl102_137
| ~ spl102_139 ),
inference(superposition,[],[f1887,f1879]) ).
fof(f4944,plain,
( e11 = e13
| ~ spl102_137
| ~ spl102_139 ),
inference(superposition,[],[f1879,f1887]) ).
fof(f4945,plain,
( $false
| ~ spl102_137
| ~ spl102_139 ),
inference(forward_subsumption_resolution,[],[f4944,f295]) ).
fof(f4946,plain,
( ~ spl102_137
| ~ spl102_139 ),
inference(avatar_contradiction_clause,[],[f4945]) ).
fof(f4947,plain,
( $false
| ~ spl102_137
| ~ spl102_139 ),
inference(forward_subsumption_resolution,[],[f4941,f295]) ).
fof(f4948,plain,
( ~ spl102_137
| ~ spl102_139 ),
inference(avatar_contradiction_clause,[],[f4947]) ).
fof(f4949,plain,
( e10 = e12
| ~ spl102_130
| ~ spl102_132 ),
inference(forward_demodulation,[],[f1849,f1857]) ).
fof(f4958,plain,
( $false
| ~ spl102_130
| ~ spl102_132 ),
inference(forward_subsumption_resolution,[],[f4949,f298]) ).
fof(f4959,plain,
( ~ spl102_130
| ~ spl102_132 ),
inference(avatar_contradiction_clause,[],[f4958]) ).
fof(f5020,plain,
( spl102_139
| ~ spl102_107
| ~ spl102_210 ),
inference(avatar_split_clause,[],[f4793,f2299,f1749,f1885]) ).
fof(f5118,plain,
( e10 = e11
| ~ spl102_119
| ~ spl102_120 ),
inference(forward_demodulation,[],[f1802,f1806]) ).
fof(f5120,plain,
( $false
| ~ spl102_119
| ~ spl102_120 ),
inference(forward_subsumption_resolution,[],[f5118,f299]) ).
fof(f5121,plain,
( ~ spl102_119
| ~ spl102_120 ),
inference(avatar_contradiction_clause,[],[f5120]) ).
fof(f5124,plain,
( e10 = e12
| ~ spl102_114
| ~ spl102_116 ),
inference(superposition,[],[f1789,f1781]) ).
fof(f5129,plain,
( $false
| ~ spl102_114
| ~ spl102_116 ),
inference(forward_subsumption_resolution,[],[f5124,f298]) ).
fof(f5130,plain,
( ~ spl102_114
| ~ spl102_116 ),
inference(avatar_contradiction_clause,[],[f5129]) ).
fof(f5173,plain,
( e12 = e13
| ~ spl102_97
| ~ spl102_98 ),
inference(superposition,[],[f1713,f1709]) ).
fof(f5178,plain,
( $false
| ~ spl102_97
| ~ spl102_98 ),
inference(forward_subsumption_resolution,[],[f5173,f294]) ).
fof(f5179,plain,
( ~ spl102_97
| ~ spl102_98 ),
inference(avatar_contradiction_clause,[],[f5178]) ).
fof(f5185,plain,
( e11 = e12
| ~ spl102_130
| ~ spl102_131 ),
inference(superposition,[],[f1853,f1849]) ).
fof(f5190,plain,
( $false
| ~ spl102_130
| ~ spl102_131 ),
inference(forward_subsumption_resolution,[],[f5185,f296]) ).
fof(f5191,plain,
( ~ spl102_130
| ~ spl102_131 ),
inference(avatar_contradiction_clause,[],[f5190]) ).
fof(f5204,plain,
( e12 = e13
| ~ spl102_149
| ~ spl102_150 ),
inference(superposition,[],[f1934,f1930]) ).
fof(f5205,plain,
( e12 = e13
| ~ spl102_149
| ~ spl102_150 ),
inference(superposition,[],[f1930,f1934]) ).
fof(f5206,plain,
( $false
| ~ spl102_149
| ~ spl102_150 ),
inference(forward_subsumption_resolution,[],[f5205,f294]) ).
fof(f5207,plain,
( ~ spl102_149
| ~ spl102_150 ),
inference(avatar_contradiction_clause,[],[f5206]) ).
fof(f5208,plain,
( $false
| ~ spl102_149
| ~ spl102_150 ),
inference(forward_subsumption_resolution,[],[f5204,f294]) ).
fof(f5209,plain,
( ~ spl102_149
| ~ spl102_150 ),
inference(avatar_contradiction_clause,[],[f5208]) ).
fof(f5223,plain,
( e10 = e13
| ~ spl102_145
| ~ spl102_148 ),
inference(forward_demodulation,[],[f1913,f1925]) ).
fof(f5243,plain,
( $false
| ~ spl102_145
| ~ spl102_148 ),
inference(forward_subsumption_resolution,[],[f5223,f297]) ).
fof(f5244,plain,
( ~ spl102_145
| ~ spl102_148 ),
inference(avatar_contradiction_clause,[],[f5243]) ).
fof(f5267,plain,
( e10 = e11
| ~ spl102_159
| ~ spl102_160 ),
inference(superposition,[],[f1976,f1972]) ).
fof(f5271,plain,
( $false
| ~ spl102_159
| ~ spl102_160 ),
inference(forward_subsumption_resolution,[],[f5267,f299]) ).
fof(f5272,plain,
( ~ spl102_159
| ~ spl102_160 ),
inference(avatar_contradiction_clause,[],[f5271]) ).
fof(f5289,plain,
( e10 = e11
| ~ spl102_139
| ~ spl102_140 ),
inference(forward_demodulation,[],[f1887,f1891]) ).
fof(f5315,plain,
( e10 = op1(e11,e13)
| ~ spl102_108
| ~ spl102_211 ),
inference(forward_demodulation,[],[f2306,f1755]) ).
fof(f5319,plain,
( e12 != op1(e12,e13)
| ~ spl102_102
| spl102_209 ),
inference(forward_demodulation,[],[f2295,f1730]) ).
fof(f5324,plain,
( $false
| ~ spl102_139
| ~ spl102_140 ),
inference(forward_subsumption_resolution,[],[f5289,f299]) ).
fof(f5325,plain,
( ~ spl102_139
| ~ spl102_140 ),
inference(avatar_contradiction_clause,[],[f5324]) ).
fof(f5331,plain,
( $false
| ~ spl102_108
| spl102_132
| ~ spl102_211 ),
inference(forward_subsumption_resolution,[],[f5315,f1856]) ).
fof(f5332,plain,
( ~ spl102_108
| spl102_132
| ~ spl102_211 ),
inference(avatar_contradiction_clause,[],[f5331]) ).
fof(f5334,plain,
( $false
| ~ spl102_102
| ~ spl102_114
| spl102_209 ),
inference(forward_subsumption_resolution,[],[f5319,f1781]) ).
fof(f5335,plain,
( ~ spl102_102
| ~ spl102_114
| spl102_209 ),
inference(avatar_contradiction_clause,[],[f5334]) ).
fof(f5341,plain,
( e10 = e11
| ~ spl102_135
| ~ spl102_136 ),
inference(forward_demodulation,[],[f1870,f1874]) ).
fof(f5347,plain,
( e11 = op1(e11,e11)
| ~ spl102_123
| ~ spl102_216 ),
inference(forward_demodulation,[],[f2333,f1819]) ).
fof(f5360,plain,
( e12 = op1(e12,e12)
| ~ spl102_150
| ~ spl102_226 ),
inference(forward_demodulation,[],[f2387,f1934]) ).
fof(f5376,plain,
( $false
| ~ spl102_135
| ~ spl102_136 ),
inference(forward_subsumption_resolution,[],[f5341,f299]) ).
fof(f5377,plain,
( ~ spl102_135
| ~ spl102_136 ),
inference(avatar_contradiction_clause,[],[f5376]) ).
fof(f5378,plain,
( spl102_139
| ~ spl102_123
| ~ spl102_216 ),
inference(avatar_split_clause,[],[f5347,f2331,f1817,f1885]) ).
fof(f5380,plain,
( $false
| spl102_118
| ~ spl102_150
| ~ spl102_226 ),
inference(forward_subsumption_resolution,[],[f5360,f1797]) ).
fof(f5381,plain,
( spl102_118
| ~ spl102_150
| ~ spl102_226 ),
inference(avatar_contradiction_clause,[],[f5380]) ).
fof(f5391,plain,
( e10 = e12
| ~ spl102_146
| ~ spl102_148 ),
inference(forward_demodulation,[],[f1917,f1925]) ).
fof(f5397,plain,
( e12 = op1(e10,e13)
| ~ spl102_110
| ~ spl102_213 ),
inference(forward_demodulation,[],[f2316,f1764]) ).
fof(f5415,plain,
( $false
| ~ spl102_146
| ~ spl102_148 ),
inference(forward_subsumption_resolution,[],[f5391,f298]) ).
fof(f5416,plain,
( ~ spl102_146
| ~ spl102_148 ),
inference(avatar_contradiction_clause,[],[f5415]) ).
fof(f5417,plain,
( e10 = e12
| ~ spl102_110
| ~ spl102_148
| ~ spl102_213 ),
inference(forward_demodulation,[],[f5397,f1925]) ).
fof(f5429,plain,
( $false
| ~ spl102_110
| ~ spl102_148
| ~ spl102_213 ),
inference(forward_subsumption_resolution,[],[f5417,f298]) ).
fof(f5430,plain,
( ~ spl102_110
| ~ spl102_148
| ~ spl102_213 ),
inference(avatar_contradiction_clause,[],[f5429]) ).
fof(f5444,plain,
( e10 = e11
| ~ spl102_131
| ~ spl102_132 ),
inference(superposition,[],[f1857,f1853]) ).
fof(f5445,plain,
( e10 = e11
| ~ spl102_131
| ~ spl102_132 ),
inference(superposition,[],[f1853,f1857]) ).
fof(f5447,plain,
( $false
| ~ spl102_131
| ~ spl102_132 ),
inference(forward_subsumption_resolution,[],[f5445,f299]) ).
fof(f5448,plain,
( ~ spl102_131
| ~ spl102_132 ),
inference(avatar_contradiction_clause,[],[f5447]) ).
fof(f5449,plain,
( $false
| ~ spl102_131
| ~ spl102_132 ),
inference(forward_subsumption_resolution,[],[f5444,f299]) ).
fof(f5450,plain,
( ~ spl102_131
| ~ spl102_132 ),
inference(avatar_contradiction_clause,[],[f5449]) ).
fof(f5492,plain,
( e13 = op1(e10,e12)
| ~ spl102_125
| ~ spl102_219 ),
inference(forward_demodulation,[],[f2348,f1828]) ).
fof(f5499,plain,
( e10 = op1(e10,e11)
| ~ spl102_144
| ~ spl102_224 ),
inference(forward_demodulation,[],[f2376,f1908]) ).
fof(f5544,plain,
( spl102_156
| ~ spl102_144
| ~ spl102_224 ),
inference(avatar_split_clause,[],[f5499,f2374,f1906,f1957]) ).
fof(f5549,plain,
( $false
| ~ spl102_125
| spl102_149
| ~ spl102_219 ),
inference(forward_subsumption_resolution,[],[f5492,f1929]) ).
fof(f5550,plain,
( ~ spl102_125
| spl102_149
| ~ spl102_219 ),
inference(avatar_contradiction_clause,[],[f5549]) ).
fof(f5644,plain,
e21 = h1(e11),
inference(superposition,[],[f970,f625]) ).
fof(f5647,plain,
( e20 = e21
| ~ spl102_279 ),
inference(forward_demodulation,[],[f5644,f2792]) ).
fof(f5650,plain,
( $false
| ~ spl102_279 ),
inference(forward_subsumption_resolution,[],[f5647,f871]) ).
fof(f5651,plain,
~ spl102_279,
inference(avatar_contradiction_clause,[],[f5650]) ).
fof(f5656,plain,
( $false
| spl102_275 ),
inference(forward_subsumption_resolution,[],[f5644,f2741]) ).
fof(f5657,plain,
spl102_275,
inference(avatar_contradiction_clause,[],[f5656]) ).
fof(f5663,plain,
( e20 = e23
| ~ spl102_13
| ~ spl102_16 ),
inference(forward_demodulation,[],[f1083,f1095]) ).
fof(f5664,plain,
( e20 = e23
| ~ spl102_33
| ~ spl102_36 ),
inference(forward_demodulation,[],[f1170,f1182]) ).
fof(f5670,plain,
( e23 = op2(e23,e20)
| ~ spl102_40
| ~ spl102_94 ),
inference(forward_demodulation,[],[f1596,f1199]) ).
fof(f5676,plain,
( $false
| ~ spl102_13
| ~ spl102_16 ),
inference(forward_subsumption_resolution,[],[f5663,f869]) ).
fof(f5677,plain,
( ~ spl102_13
| ~ spl102_16 ),
inference(avatar_contradiction_clause,[],[f5676]) ).
fof(f5678,plain,
( $false
| ~ spl102_33
| ~ spl102_36 ),
inference(forward_subsumption_resolution,[],[f5664,f869]) ).
fof(f5679,plain,
( ~ spl102_33
| ~ spl102_36 ),
inference(avatar_contradiction_clause,[],[f5678]) ).
fof(f5684,plain,
( e21 = e23
| ~ spl102_17
| ~ spl102_19 ),
inference(forward_demodulation,[],[f1101,f1109]) ).
fof(f5685,plain,
( e21 = e22
| ~ spl102_18
| ~ spl102_19 ),
inference(forward_demodulation,[],[f1105,f1109]) ).
fof(f5690,plain,
( e21 = e22
| ~ spl102_271
| ~ spl102_275 ),
inference(forward_demodulation,[],[f2720,f2740]) ).
fof(f5714,plain,
( $false
| ~ spl102_17
| ~ spl102_19 ),
inference(forward_subsumption_resolution,[],[f5684,f867]) ).
fof(f5715,plain,
( ~ spl102_17
| ~ spl102_19 ),
inference(avatar_contradiction_clause,[],[f5714]) ).
fof(f5716,plain,
( $false
| ~ spl102_18
| ~ spl102_19 ),
inference(forward_subsumption_resolution,[],[f5685,f868]) ).
fof(f5717,plain,
( ~ spl102_18
| ~ spl102_19 ),
inference(avatar_contradiction_clause,[],[f5716]) ).
fof(f5718,plain,
( $false
| ~ spl102_271
| ~ spl102_275 ),
inference(forward_subsumption_resolution,[],[f5690,f868]) ).
fof(f5719,plain,
( ~ spl102_271
| ~ spl102_275 ),
inference(avatar_contradiction_clause,[],[f5718]) ).
fof(f5727,plain,
( e20 = e21
| ~ spl102_31
| ~ spl102_32 ),
inference(forward_demodulation,[],[f1160,f1164]) ).
fof(f5738,plain,
( $false
| ~ spl102_31
| ~ spl102_32 ),
inference(forward_subsumption_resolution,[],[f5727,f871]) ).
fof(f5739,plain,
( ~ spl102_31
| ~ spl102_32 ),
inference(avatar_contradiction_clause,[],[f5738]) ).
fof(f5741,plain,
( e22 = e23
| ~ spl102_1
| ~ spl102_2 ),
inference(forward_demodulation,[],[f1032,f1036]) ).
fof(f5749,plain,
( $false
| ~ spl102_1
| ~ spl102_2 ),
inference(forward_subsumption_resolution,[],[f5741,f866]) ).
fof(f5750,plain,
( ~ spl102_1
| ~ spl102_2 ),
inference(avatar_contradiction_clause,[],[f5749]) ).
fof(f5767,plain,
( e20 = e22
| ~ spl102_6
| ~ spl102_8 ),
inference(forward_demodulation,[],[f1053,f1061]) ).
fof(f5780,plain,
( $false
| ~ spl102_6
| ~ spl102_8 ),
inference(forward_subsumption_resolution,[],[f5767,f870]) ).
fof(f5781,plain,
( ~ spl102_6
| ~ spl102_8 ),
inference(avatar_contradiction_clause,[],[f5780]) ).
fof(f5822,plain,
( e20 = e21
| ~ spl102_263
| ~ spl102_278 ),
inference(superposition,[],[f2780,f2680]) ).
fof(f5823,plain,
( e20 = e21
| ~ spl102_263
| ~ spl102_278 ),
inference(superposition,[],[f2680,f2780]) ).
fof(f5825,plain,
( $false
| ~ spl102_263
| ~ spl102_278 ),
inference(forward_subsumption_resolution,[],[f5823,f871]) ).
fof(f5826,plain,
( ~ spl102_263
| ~ spl102_278 ),
inference(avatar_contradiction_clause,[],[f5825]) ).
fof(f5827,plain,
( $false
| ~ spl102_263
| ~ spl102_278 ),
inference(forward_subsumption_resolution,[],[f5822,f871]) ).
fof(f5828,plain,
( ~ spl102_263
| ~ spl102_278 ),
inference(avatar_contradiction_clause,[],[f5827]) ).
fof(f5831,plain,
( e22 = e23
| ~ spl102_17
| ~ spl102_18 ),
inference(superposition,[],[f1105,f1101]) ).
fof(f5835,plain,
( $false
| ~ spl102_17
| ~ spl102_18 ),
inference(forward_subsumption_resolution,[],[f5831,f866]) ).
fof(f5836,plain,
( ~ spl102_17
| ~ spl102_18 ),
inference(avatar_contradiction_clause,[],[f5835]) ).
fof(f5838,plain,
( e21 = e23
| ~ spl102_255
| ~ spl102_263 ),
inference(forward_demodulation,[],[f2640,f2680]) ).
fof(f5839,plain,
( $false
| ~ spl102_255
| ~ spl102_263 ),
inference(forward_subsumption_resolution,[],[f5838,f867]) ).
fof(f5840,plain,
( ~ spl102_255
| ~ spl102_263 ),
inference(avatar_contradiction_clause,[],[f5839]) ).
fof(f5842,plain,
( e20 = e21
| ~ spl102_27
| ~ spl102_28 ),
inference(forward_demodulation,[],[f1143,f1147]) ).
fof(f5851,plain,
( $false
| ~ spl102_27
| ~ spl102_28 ),
inference(forward_subsumption_resolution,[],[f5842,f871]) ).
fof(f5852,plain,
( ~ spl102_27
| ~ spl102_28 ),
inference(avatar_contradiction_clause,[],[f5851]) ).
fof(f5872,plain,
( e20 = e22
| ~ spl102_235
| ~ spl102_276 ),
inference(superposition,[],[f2756,f2540]) ).
fof(f5876,plain,
( $false
| ~ spl102_235
| ~ spl102_276 ),
inference(forward_subsumption_resolution,[],[f5872,f870]) ).
fof(f5877,plain,
( ~ spl102_235
| ~ spl102_276 ),
inference(avatar_contradiction_clause,[],[f5876]) ).
fof(f5878,plain,
( e21 = e22
| ~ spl102_6
| ~ spl102_7 ),
inference(forward_demodulation,[],[f1053,f1057]) ).
fof(f5882,plain,
( e21 = e22
| ~ spl102_14
| ~ spl102_15 ),
inference(forward_demodulation,[],[f1087,f1091]) ).
fof(f5887,plain,
( $false
| ~ spl102_6
| ~ spl102_7 ),
inference(forward_subsumption_resolution,[],[f5878,f868]) ).
fof(f5888,plain,
( ~ spl102_6
| ~ spl102_7 ),
inference(avatar_contradiction_clause,[],[f5887]) ).
fof(f5889,plain,
( $false
| ~ spl102_14
| ~ spl102_15 ),
inference(forward_subsumption_resolution,[],[f5882,f868]) ).
fof(f5890,plain,
( ~ spl102_14
| ~ spl102_15 ),
inference(avatar_contradiction_clause,[],[f5889]) ).
fof(f5904,plain,
( e20 = e23
| ~ spl102_231
| ~ spl102_276 ),
inference(forward_demodulation,[],[f2520,f2756]) ).
fof(f5905,plain,
( e21 = e23
| ~ spl102_267
| ~ spl102_275 ),
inference(forward_demodulation,[],[f2700,f2740]) ).
fof(f5909,plain,
( e22 != op2(e22,e21)
| ~ spl102_43
| spl102_95 ),
inference(forward_demodulation,[],[f1602,f1212]) ).
fof(f5925,plain,
( $false
| ~ spl102_231
| ~ spl102_276 ),
inference(forward_subsumption_resolution,[],[f5904,f869]) ).
fof(f5926,plain,
( ~ spl102_231
| ~ spl102_276 ),
inference(avatar_contradiction_clause,[],[f5925]) ).
fof(f5927,plain,
( $false
| ~ spl102_267
| ~ spl102_275 ),
inference(forward_subsumption_resolution,[],[f5905,f867]) ).
fof(f5928,plain,
( ~ spl102_267
| ~ spl102_275 ),
inference(avatar_contradiction_clause,[],[f5927]) ).
fof(f5930,plain,
( $false
| ~ spl102_18
| ~ spl102_43
| spl102_95 ),
inference(forward_subsumption_resolution,[],[f5909,f1105]) ).
fof(f5931,plain,
( ~ spl102_18
| ~ spl102_43
| spl102_95 ),
inference(avatar_contradiction_clause,[],[f5930]) ).
fof(f5947,plain,
( e22 = op2(e22,e20)
| ~ spl102_4
| ~ spl102_79 ),
inference(forward_demodulation,[],[f1505,f1044]) ).
fof(f5978,plain,
( $false
| ~ spl102_4
| spl102_22
| ~ spl102_79 ),
inference(forward_subsumption_resolution,[],[f5947,f1121]) ).
fof(f5979,plain,
( ~ spl102_4
| spl102_22
| ~ spl102_79 ),
inference(avatar_contradiction_clause,[],[f5978]) ).
fof(f6048,plain,
( e20 = e22
| ~ spl102_247
| ~ spl102_277 ),
inference(superposition,[],[f2768,f2600]) ).
fof(f6053,plain,
( $false
| ~ spl102_247
| ~ spl102_277 ),
inference(forward_subsumption_resolution,[],[f6048,f870]) ).
fof(f6054,plain,
( ~ spl102_247
| ~ spl102_277 ),
inference(avatar_contradiction_clause,[],[f6053]) ).
fof(f6055,plain,
( e21 = e23
| ~ spl102_1
| ~ spl102_3 ),
inference(forward_demodulation,[],[f1032,f1040]) ).
fof(f6063,plain,
( $false
| ~ spl102_1
| ~ spl102_3 ),
inference(forward_subsumption_resolution,[],[f6055,f867]) ).
fof(f6064,plain,
( ~ spl102_1
| ~ spl102_3 ),
inference(avatar_contradiction_clause,[],[f6063]) ).
fof(f6066,plain,
( e22 = e23
| ~ spl102_243
| ~ spl102_247 ),
inference(forward_demodulation,[],[f2580,f2600]) ).
fof(f6076,plain,
( $false
| ~ spl102_243
| ~ spl102_247 ),
inference(forward_subsumption_resolution,[],[f6066,f866]) ).
fof(f6077,plain,
( ~ spl102_243
| ~ spl102_247 ),
inference(avatar_contradiction_clause,[],[f6076]) ).
fof(f6083,plain,
( e23 = op2(e20,e22)
| ~ spl102_21
| ~ spl102_89 ),
inference(forward_demodulation,[],[f1564,f1118]) ).
fof(f6100,plain,
( $false
| ~ spl102_21
| spl102_41
| ~ spl102_89 ),
inference(forward_subsumption_resolution,[],[f6083,f1203]) ).
fof(f6101,plain,
( ~ spl102_21
| spl102_41
| ~ spl102_89 ),
inference(avatar_contradiction_clause,[],[f6100]) ).
fof(f6108,plain,
( e22 = e23
| ~ spl102_33
| ~ spl102_34 ),
inference(forward_demodulation,[],[f1170,f1174]) ).
fof(f6128,plain,
( $false
| ~ spl102_33
| ~ spl102_34 ),
inference(forward_subsumption_resolution,[],[f6108,f866]) ).
fof(f6129,plain,
( ~ spl102_33
| ~ spl102_34 ),
inference(avatar_contradiction_clause,[],[f6128]) ).
fof(f6132,plain,
( e21 = e22
| ~ spl102_10
| ~ spl102_11 ),
inference(forward_demodulation,[],[f1070,f1074]) ).
fof(f6147,plain,
( $false
| ~ spl102_10
| ~ spl102_11 ),
inference(forward_subsumption_resolution,[],[f6132,f868]) ).
fof(f6148,plain,
( ~ spl102_10
| ~ spl102_11 ),
inference(avatar_contradiction_clause,[],[f6147]) ).
fof(f6153,plain,
( e20 = e23
| ~ spl102_21
| ~ spl102_24 ),
inference(forward_demodulation,[],[f1118,f1130]) ).
fof(f6156,plain,
( e20 = e23
| ~ spl102_41
| ~ spl102_44 ),
inference(forward_demodulation,[],[f1204,f1216]) ).
fof(f6163,plain,
( $false
| ~ spl102_21
| ~ spl102_24 ),
inference(forward_subsumption_resolution,[],[f6153,f869]) ).
fof(f6164,plain,
( ~ spl102_21
| ~ spl102_24 ),
inference(avatar_contradiction_clause,[],[f6163]) ).
fof(f6167,plain,
( $false
| ~ spl102_41
| ~ spl102_44 ),
inference(forward_subsumption_resolution,[],[f6156,f869]) ).
fof(f6168,plain,
( ~ spl102_41
| ~ spl102_44 ),
inference(avatar_contradiction_clause,[],[f6167]) ).
fof(f6180,plain,
( e21 = op2(e21,e21)
| ~ spl102_19
| ~ spl102_86 ),
inference(forward_demodulation,[],[f1547,f1109]) ).
fof(f6210,plain,
( e22 = op2(e22,e21)
| ~ spl102_31
| ~ spl102_91 ),
inference(forward_demodulation,[],[f1576,f1160]) ).
fof(f6219,plain,
( $false
| spl102_18
| ~ spl102_31
| ~ spl102_91 ),
inference(forward_subsumption_resolution,[],[f6210,f1104]) ).
fof(f6220,plain,
( spl102_18
| ~ spl102_31
| ~ spl102_91 ),
inference(avatar_contradiction_clause,[],[f6219]) ).
fof(f6229,plain,
( e21 = e23
| ~ spl102_29
| ~ spl102_31 ),
inference(forward_demodulation,[],[f1152,f1160]) ).
fof(f6231,plain,
( e22 = e23
| ~ spl102_37
| ~ spl102_38 ),
inference(forward_demodulation,[],[f1187,f1191]) ).
fof(f6239,plain,
( e20 = op2(e20,e21)
| ~ spl102_36
| ~ spl102_93 ),
inference(forward_demodulation,[],[f1591,f1182]) ).
fof(f6246,plain,
( $false
| ~ spl102_29
| ~ spl102_31 ),
inference(forward_subsumption_resolution,[],[f6229,f867]) ).
fof(f6247,plain,
( ~ spl102_29
| ~ spl102_31 ),
inference(avatar_contradiction_clause,[],[f6246]) ).
fof(f6248,plain,
( $false
| ~ spl102_37
| ~ spl102_38 ),
inference(forward_subsumption_resolution,[],[f6231,f866]) ).
fof(f6249,plain,
( ~ spl102_37
| ~ spl102_38 ),
inference(avatar_contradiction_clause,[],[f6248]) ).
fof(f6255,plain,
( e21 = e22
| ~ spl102_30
| ~ spl102_31 ),
inference(forward_demodulation,[],[f1156,f1160]) ).
fof(f6283,plain,
( $false
| ~ spl102_30
| ~ spl102_31 ),
inference(forward_subsumption_resolution,[],[f6255,f868]) ).
fof(f6284,plain,
( ~ spl102_30
| ~ spl102_31 ),
inference(avatar_contradiction_clause,[],[f6283]) ).
fof(f6297,plain,
( e20 = e22
| ~ spl102_34
| ~ spl102_36 ),
inference(forward_demodulation,[],[f1174,f1182]) ).
fof(f6303,plain,
( e20 = e23
| ~ spl102_243
| ~ spl102_277 ),
inference(forward_demodulation,[],[f2580,f2768]) ).
fof(f6332,plain,
( e21 = op2(e21,e20)
| ~ spl102_8
| ~ spl102_81 ),
inference(forward_demodulation,[],[f1516,f1061]) ).
fof(f6335,plain,
( $false
| ~ spl102_34
| ~ spl102_36 ),
inference(forward_subsumption_resolution,[],[f6297,f870]) ).
fof(f6336,plain,
( ~ spl102_34
| ~ spl102_36 ),
inference(avatar_contradiction_clause,[],[f6335]) ).
fof(f6337,plain,
( $false
| ~ spl102_243
| ~ spl102_277 ),
inference(forward_subsumption_resolution,[],[f6303,f869]) ).
fof(f6338,plain,
( ~ spl102_243
| ~ spl102_277 ),
inference(avatar_contradiction_clause,[],[f6337]) ).
fof(f6344,plain,
( e20 = e21
| ~ spl102_8
| ~ spl102_36
| ~ spl102_81 ),
inference(forward_demodulation,[],[f6332,f1182]) ).
fof(f6345,plain,
( $false
| ~ spl102_8
| ~ spl102_36
| ~ spl102_81 ),
inference(forward_subsumption_resolution,[],[f6344,f871]) ).
fof(f6346,plain,
( ~ spl102_8
| ~ spl102_36
| ~ spl102_81 ),
inference(avatar_contradiction_clause,[],[f6345]) ).
fof(f6379,plain,
( e20 = e23
| ~ spl102_37
| ~ spl102_40 ),
inference(superposition,[],[f1199,f1187]) ).
fof(f6385,plain,
( $false
| ~ spl102_37
| ~ spl102_40 ),
inference(forward_subsumption_resolution,[],[f6379,f869]) ).
fof(f6386,plain,
( ~ spl102_37
| ~ spl102_40 ),
inference(avatar_contradiction_clause,[],[f6385]) ).
fof(f6404,plain,
( $false
| spl102_9
| ~ spl102_40
| ~ spl102_94 ),
inference(forward_subsumption_resolution,[],[f5670,f1065]) ).
fof(f6405,plain,
( spl102_9
| ~ spl102_40
| ~ spl102_94 ),
inference(avatar_contradiction_clause,[],[f6404]) ).
fof(f6424,plain,
( e20 = e22
| ~ spl102_42
| ~ spl102_44 ),
inference(superposition,[],[f1216,f1208]) ).
fof(f6425,plain,
( e20 = e22
| ~ spl102_42
| ~ spl102_44 ),
inference(superposition,[],[f1208,f1216]) ).
fof(f6427,plain,
( $false
| ~ spl102_42
| ~ spl102_44 ),
inference(forward_subsumption_resolution,[],[f6425,f870]) ).
fof(f6428,plain,
( ~ spl102_42
| ~ spl102_44 ),
inference(avatar_contradiction_clause,[],[f6427]) ).
fof(f6429,plain,
( $false
| ~ spl102_42
| ~ spl102_44 ),
inference(forward_subsumption_resolution,[],[f6424,f870]) ).
fof(f6430,plain,
( ~ spl102_42
| ~ spl102_44 ),
inference(avatar_contradiction_clause,[],[f6429]) ).
fof(f6449,plain,
( e23 = op2(e23,e21)
| ~ spl102_27
| ~ spl102_90 ),
inference(forward_demodulation,[],[f1569,f1143]) ).
fof(f6461,plain,
( $false
| spl102_5
| ~ spl102_27
| ~ spl102_90 ),
inference(forward_subsumption_resolution,[],[f6449,f1048]) ).
fof(f6462,plain,
( spl102_5
| ~ spl102_27
| ~ spl102_90 ),
inference(avatar_contradiction_clause,[],[f6461]) ).
fof(f6501,plain,
( e20 = e23
| ~ spl102_255
| ~ spl102_278 ),
inference(superposition,[],[f2780,f2640]) ).
fof(f6505,plain,
( $false
| ~ spl102_255
| ~ spl102_278 ),
inference(forward_subsumption_resolution,[],[f6501,f869]) ).
fof(f6506,plain,
( ~ spl102_255
| ~ spl102_278 ),
inference(avatar_contradiction_clause,[],[f6505]) ).
fof(f6519,plain,
( e21 = h2(e11)
| ~ spl102_7
| ~ spl102_81 ),
inference(superposition,[],[f974,f3464]) ).
fof(f6534,plain,
( e21 = e22
| ~ spl102_247
| ~ spl102_251 ),
inference(forward_demodulation,[],[f2600,f2620]) ).
fof(f6540,plain,
( $false
| ~ spl102_247
| ~ spl102_251 ),
inference(forward_subsumption_resolution,[],[f6534,f868]) ).
fof(f6541,plain,
( ~ spl102_247
| ~ spl102_251 ),
inference(avatar_contradiction_clause,[],[f6540]) ).
fof(f6575,plain,
( e22 = e23
| ~ spl102_231
| ~ spl102_235 ),
inference(superposition,[],[f2540,f2520]) ).
fof(f6579,plain,
( $false
| ~ spl102_231
| ~ spl102_235 ),
inference(forward_subsumption_resolution,[],[f6575,f866]) ).
fof(f6580,plain,
( ~ spl102_231
| ~ spl102_235 ),
inference(avatar_contradiction_clause,[],[f6579]) ).
fof(f6618,plain,
( e21 = op2(e21,e20)
| ~ spl102_20
| ~ spl102_86 ),
inference(forward_demodulation,[],[f1547,f1113]) ).
fof(f6634,plain,
( e20 = e21
| ~ spl102_20
| ~ spl102_36
| ~ spl102_86 ),
inference(forward_demodulation,[],[f6618,f1182]) ).
fof(f6635,plain,
( $false
| ~ spl102_20
| ~ spl102_36
| ~ spl102_86 ),
inference(forward_subsumption_resolution,[],[f6634,f871]) ).
fof(f6636,plain,
( ~ spl102_20
| ~ spl102_36
| ~ spl102_86 ),
inference(avatar_contradiction_clause,[],[f6635]) ).
fof(f6660,plain,
( e22 != h3(e11)
| ~ spl102_14 ),
inference(superposition,[],[f1271,f1087]) ).
fof(f6662,plain,
( e23 != h3(e11)
| ~ spl102_21 ),
inference(superposition,[],[f1273,f1118]) ).
fof(f6667,plain,
( e20 != h2(e11)
| ~ spl102_36 ),
inference(superposition,[],[f1276,f1182]) ).
fof(f6694,plain,
( e23 = op2(e20,e21)
| ~ spl102_275 ),
inference(superposition,[],[f1704,f2740]) ).
fof(f6695,plain,
( $false
| spl102_45
| ~ spl102_275 ),
inference(forward_subsumption_resolution,[],[f6694,f1220]) ).
fof(f6696,plain,
( spl102_45
| ~ spl102_275 ),
inference(avatar_contradiction_clause,[],[f6695]) ).
fof(f6700,plain,
( spl102_263
| ~ spl102_7
| ~ spl102_81 ),
inference(avatar_split_clause,[],[f6519,f1514,f1055,f2679]) ).
fof(f6725,plain,
( e20 = op2(e20,e20)
| ~ spl102_36
| ~ spl102_92 ),
inference(forward_demodulation,[],[f1585,f1182]) ).
fof(f6727,plain,
( spl102_48
| ~ spl102_36
| ~ spl102_93 ),
inference(avatar_split_clause,[],[f6239,f1589,f1180,f1231]) ).
fof(f6731,plain,
( e20 = e23
| ~ spl102_1
| ~ spl102_4 ),
inference(forward_demodulation,[],[f1032,f1044]) ).
fof(f6760,plain,
( $false
| ~ spl102_1
| ~ spl102_4 ),
inference(forward_subsumption_resolution,[],[f6731,f869]) ).
fof(f6761,plain,
( ~ spl102_1
| ~ spl102_4 ),
inference(avatar_contradiction_clause,[],[f6760]) ).
fof(f6792,plain,
( e21 != h1(e11)
| ~ spl102_23 ),
inference(superposition,[],[f1290,f1126]) ).
fof(f6799,plain,
( $false
| ~ spl102_23
| ~ spl102_275 ),
inference(forward_subsumption_resolution,[],[f6792,f2740]) ).
fof(f6800,plain,
( ~ spl102_23
| ~ spl102_275 ),
inference(avatar_contradiction_clause,[],[f6799]) ).
fof(f6807,plain,
( ~ spl102_247
| ~ spl102_14 ),
inference(avatar_split_clause,[],[f6660,f1085,f2599]) ).
fof(f6864,plain,
( e23 = op2(e22,e23)
| ~ spl102_1
| ~ spl102_80 ),
inference(forward_demodulation,[],[f1511,f1032]) ).
fof(f6872,plain,
( $false
| ~ spl102_1
| spl102_13
| ~ spl102_80 ),
inference(forward_subsumption_resolution,[],[f6864,f1082]) ).
fof(f6873,plain,
( ~ spl102_1
| spl102_13
| ~ spl102_80 ),
inference(avatar_contradiction_clause,[],[f6872]) ).
fof(f6879,plain,
( e23 = op2(e23,e23)
| ~ spl102_25
| ~ spl102_90 ),
inference(forward_demodulation,[],[f1569,f1135]) ).
fof(f6892,plain,
( e23 != h3(e11)
| ~ spl102_1 ),
inference(superposition,[],[f1283,f1032]) ).
fof(f6893,plain,
( e23 != h4(e11)
| ~ spl102_1 ),
inference(superposition,[],[f1268,f1032]) ).
fof(f6896,plain,
( $false
| ~ spl102_1
| ~ spl102_231 ),
inference(forward_subsumption_resolution,[],[f6893,f2520]) ).
fof(f6897,plain,
( ~ spl102_1
| ~ spl102_231 ),
inference(avatar_contradiction_clause,[],[f6896]) ).
fof(f6940,plain,
( e21 != h1(e11)
| ~ spl102_39 ),
inference(superposition,[],[f1277,f1195]) ).
fof(f6941,plain,
( $false
| ~ spl102_39
| ~ spl102_275 ),
inference(forward_subsumption_resolution,[],[f6940,f2740]) ).
fof(f6942,plain,
( ~ spl102_39
| ~ spl102_275 ),
inference(avatar_contradiction_clause,[],[f6941]) ).
fof(f7006,plain,
( e21 = h2(e11)
| ~ spl102_19
| ~ spl102_86 ),
inference(superposition,[],[f6180,f974]) ).
fof(f7010,plain,
( $false
| ~ spl102_19
| ~ spl102_86
| spl102_263 ),
inference(forward_subsumption_resolution,[],[f7006,f2681]) ).
fof(f7011,plain,
( ~ spl102_19
| ~ spl102_86
| spl102_263 ),
inference(avatar_contradiction_clause,[],[f7010]) ).
fof(f7017,plain,
( ~ spl102_278
| ~ spl102_36 ),
inference(avatar_split_clause,[],[f6667,f1180,f2778]) ).
fof(f7019,plain,
( e21 != op2(e21,e20)
| ~ spl102_8
| spl102_81 ),
inference(forward_demodulation,[],[f1515,f1061]) ).
fof(f7038,plain,
( e20 != h2(e11)
| ~ spl102_8 ),
inference(superposition,[],[f1286,f1061]) ).
fof(f7101,plain,
( ~ spl102_35
| ~ spl102_8
| spl102_81 ),
inference(avatar_split_clause,[],[f7019,f1514,f1059,f1176]) ).
fof(f7103,plain,
( ~ spl102_278
| ~ spl102_8 ),
inference(avatar_split_clause,[],[f7038,f1059,f2778]) ).
fof(f7170,plain,
( e20 = h1(e11)
| ~ spl102_36
| ~ spl102_92 ),
inference(superposition,[],[f6725,f970]) ).
fof(f7180,plain,
( $false
| ~ spl102_36
| ~ spl102_92
| spl102_279 ),
inference(forward_subsumption_resolution,[],[f7170,f2791]) ).
fof(f7181,plain,
( ~ spl102_36
| ~ spl102_92
| spl102_279 ),
inference(avatar_contradiction_clause,[],[f7180]) ).
fof(f7184,plain,
( e23 = h4(e11)
| ~ spl102_25
| ~ spl102_90 ),
inference(superposition,[],[f6879,f982]) ).
fof(f7188,plain,
( $false
| ~ spl102_25
| ~ spl102_90
| spl102_231 ),
inference(forward_subsumption_resolution,[],[f7184,f2521]) ).
fof(f7189,plain,
( ~ spl102_25
| ~ spl102_90
| spl102_231 ),
inference(avatar_contradiction_clause,[],[f7188]) ).
fof(f7192,plain,
( e13 = op1(e10,e11)
| ~ spl102_159 ),
inference(superposition,[],[f300,f1972]) ).
fof(f7193,plain,
( $false
| spl102_153
| ~ spl102_159 ),
inference(forward_subsumption_resolution,[],[f7192,f1946]) ).
fof(f7194,plain,
( spl102_153
| ~ spl102_159 ),
inference(avatar_contradiction_clause,[],[f7193]) ).
fof(f7228,plain,
( e10 = e13
| ~ spl102_133
| ~ spl102_136 ),
inference(superposition,[],[f1874,f1862]) ).
fof(f7232,plain,
( $false
| ~ spl102_133
| ~ spl102_136 ),
inference(forward_subsumption_resolution,[],[f7228,f297]) ).
fof(f7233,plain,
( ~ spl102_133
| ~ spl102_136 ),
inference(avatar_contradiction_clause,[],[f7232]) ).
fof(f7269,plain,
( e11 = e13
| ~ spl102_125
| ~ spl102_127 ),
inference(superposition,[],[f1836,f1828]) ).
fof(f7273,plain,
( $false
| ~ spl102_125
| ~ spl102_127 ),
inference(forward_subsumption_resolution,[],[f7269,f295]) ).
fof(f7274,plain,
( ~ spl102_125
| ~ spl102_127 ),
inference(avatar_contradiction_clause,[],[f7273]) ).
fof(f7289,plain,
( e10 = e11
| ~ spl102_143
| ~ spl102_144 ),
inference(forward_demodulation,[],[f1904,f1908]) ).
fof(f7295,plain,
( e11 = op1(e11,e10)
| ~ spl102_108
| ~ spl102_210 ),
inference(forward_demodulation,[],[f2301,f1755]) ).
fof(f7319,plain,
( $false
| ~ spl102_143
| ~ spl102_144 ),
inference(forward_subsumption_resolution,[],[f7289,f299]) ).
fof(f7320,plain,
( ~ spl102_143
| ~ spl102_144 ),
inference(avatar_contradiction_clause,[],[f7319]) ).
fof(f7321,plain,
( e10 = e11
| ~ spl102_108
| ~ spl102_144
| ~ spl102_210 ),
inference(forward_demodulation,[],[f7295,f1908]) ).
fof(f7326,plain,
( $false
| ~ spl102_108
| ~ spl102_144
| ~ spl102_210 ),
inference(forward_subsumption_resolution,[],[f7321,f299]) ).
fof(f7327,plain,
( ~ spl102_108
| ~ spl102_144
| ~ spl102_210 ),
inference(avatar_contradiction_clause,[],[f7326]) ).
fof(f7347,plain,
( e12 = e13
| ~ spl102_133
| ~ spl102_134 ),
inference(superposition,[],[f1866,f1862]) ).
fof(f7351,plain,
( $false
| ~ spl102_133
| ~ spl102_134 ),
inference(forward_subsumption_resolution,[],[f7347,f294]) ).
fof(f7352,plain,
( ~ spl102_133
| ~ spl102_134 ),
inference(avatar_contradiction_clause,[],[f7351]) ).
fof(f7540,plain,
( e22 != op2(e22,e20)
| ~ spl102_10 ),
inference(superposition,[],[f914,f1070]) ).
fof(f7544,plain,
e22 = h1(e12),
inference(superposition,[],[f1705,f1027]) ).
fof(f7545,plain,
spl102_270,
inference(avatar_split_clause,[],[f7544,f2714]) ).
fof(f7547,plain,
h1(e13) = op2(e20,h1(e11)),
inference(superposition,[],[f968,f970]) ).
fof(f7550,plain,
e23 = h1(e13),
inference(forward_demodulation,[],[f7547,f1704]) ).
fof(f7552,plain,
spl102_265,
inference(avatar_split_clause,[],[f7550,f2689]) ).
fof(f7555,plain,
( e23 != op2(e23,h1(e12))
| ~ spl102_101
| ~ spl102_265
| spl102_351 ),
inference(superposition,[],[f3463,f2690]) ).
fof(f7556,plain,
( e22 = op2(e23,e20)
| ~ spl102_265 ),
inference(superposition,[],[f1705,f2690]) ).
fof(f7557,plain,
( e23 != op2(e23,e22)
| ~ spl102_101
| ~ spl102_265
| ~ spl102_270
| spl102_351 ),
inference(forward_demodulation,[],[f7555,f2715]) ).
fof(f7561,plain,
( $false
| ~ spl102_1
| ~ spl102_101
| ~ spl102_265
| ~ spl102_270
| spl102_351 ),
inference(forward_subsumption_resolution,[],[f7557,f1032]) ).
fof(f7562,plain,
( ~ spl102_1
| ~ spl102_101
| ~ spl102_265
| ~ spl102_270
| spl102_351 ),
inference(avatar_contradiction_clause,[],[f7561]) ).
fof(f7563,plain,
( op2(e23,e23) != h1(op1(e13,e13))
| ~ spl102_265
| spl102_350 ),
inference(forward_demodulation,[],[f3355,f2690]) ).
fof(f7565,plain,
( op2(e23,e23) != h1(e11)
| ~ spl102_99
| ~ spl102_265
| spl102_350 ),
inference(forward_demodulation,[],[f7563,f1717]) ).
fof(f7567,plain,
( e21 != op2(e23,e23)
| ~ spl102_99
| ~ spl102_265
| ~ spl102_275
| spl102_350 ),
inference(forward_demodulation,[],[f7565,f2740]) ).
fof(f7569,plain,
( e21 != h4(e11)
| ~ spl102_99
| ~ spl102_265
| ~ spl102_275
| spl102_350 ),
inference(forward_demodulation,[],[f7567,f982]) ).
fof(f7571,plain,
( $false
| ~ spl102_99
| ~ spl102_239
| ~ spl102_265
| ~ spl102_275
| spl102_350 ),
inference(forward_subsumption_resolution,[],[f7569,f2560]) ).
fof(f7572,plain,
( ~ spl102_99
| ~ spl102_239
| ~ spl102_265
| ~ spl102_275
| spl102_350 ),
inference(avatar_contradiction_clause,[],[f7571]) ).
fof(f7574,plain,
( h1(op1(e13,e11)) != op2(h1(e13),e21)
| ~ spl102_275
| spl102_352 ),
inference(forward_demodulation,[],[f3363,f2740]) ).
fof(f7576,plain,
( op2(e23,e21) != h1(op1(e13,e11))
| ~ spl102_265
| ~ spl102_275
| spl102_352 ),
inference(forward_demodulation,[],[f7574,f2690]) ).
fof(f7578,plain,
( op2(e23,e21) != h1(e10)
| ~ spl102_108
| ~ spl102_265
| ~ spl102_275
| spl102_352 ),
inference(forward_demodulation,[],[f7576,f1755]) ).
fof(f7579,plain,
( e20 != op2(e23,e21)
| ~ spl102_108
| ~ spl102_265
| ~ spl102_275
| spl102_352 ),
inference(forward_demodulation,[],[f7578,f971]) ).
fof(f7580,plain,
( $false
| ~ spl102_8
| ~ spl102_108
| ~ spl102_265
| ~ spl102_275
| spl102_352 ),
inference(forward_subsumption_resolution,[],[f7579,f1061]) ).
fof(f7581,plain,
( ~ spl102_8
| ~ spl102_108
| ~ spl102_265
| ~ spl102_275
| spl102_352 ),
inference(avatar_contradiction_clause,[],[f7580]) ).
fof(f7583,plain,
( h1(op1(e12,e13)) != op2(h1(e12),e23)
| ~ spl102_265
| spl102_353 ),
inference(forward_demodulation,[],[f3367,f2690]) ).
fof(f7585,plain,
( op2(e22,e23) != h1(op1(e12,e13))
| ~ spl102_265
| ~ spl102_270
| spl102_353 ),
inference(forward_demodulation,[],[f7583,f2715]) ).
fof(f7587,plain,
( op2(e22,e23) != h1(e10)
| ~ spl102_116
| ~ spl102_265
| ~ spl102_270
| spl102_353 ),
inference(forward_demodulation,[],[f7585,f1789]) ).
fof(f7589,plain,
( e20 != op2(e22,e23)
| ~ spl102_116
| ~ spl102_265
| ~ spl102_270
| spl102_353 ),
inference(forward_demodulation,[],[f7587,f971]) ).
fof(f7590,plain,
( $false
| ~ spl102_16
| ~ spl102_116
| ~ spl102_265
| ~ spl102_270
| spl102_353 ),
inference(forward_subsumption_resolution,[],[f7589,f1095]) ).
fof(f7591,plain,
( ~ spl102_16
| ~ spl102_116
| ~ spl102_265
| ~ spl102_270
| spl102_353 ),
inference(avatar_contradiction_clause,[],[f7590]) ).
fof(f7593,plain,
( op2(e22,e22) != h1(op1(e12,e12))
| ~ spl102_270
| spl102_354 ),
inference(forward_demodulation,[],[f3371,f2715]) ).
fof(f7595,plain,
( op2(e22,e22) != h1(e12)
| ~ spl102_118
| ~ spl102_270
| spl102_354 ),
inference(forward_demodulation,[],[f7593,f1798]) ).
fof(f7597,plain,
( e22 != op2(e22,e22)
| ~ spl102_118
| ~ spl102_270
| spl102_354 ),
inference(forward_demodulation,[],[f7595,f2715]) ).
fof(f7599,plain,
( e22 != h3(e11)
| ~ spl102_118
| ~ spl102_270
| spl102_354 ),
inference(forward_demodulation,[],[f7597,f978]) ).
fof(f7600,plain,
( $false
| ~ spl102_118
| ~ spl102_247
| ~ spl102_270
| spl102_354 ),
inference(forward_subsumption_resolution,[],[f7599,f2600]) ).
fof(f7601,plain,
( ~ spl102_118
| ~ spl102_247
| ~ spl102_270
| spl102_354 ),
inference(avatar_contradiction_clause,[],[f7600]) ).
fof(f7603,plain,
( h1(op1(e12,e11)) != op2(h1(e12),e21)
| ~ spl102_275
| spl102_355 ),
inference(forward_demodulation,[],[f3375,f2740]) ).
fof(f7605,plain,
( op2(e22,e21) != h1(op1(e12,e11))
| ~ spl102_270
| ~ spl102_275
| spl102_355 ),
inference(forward_demodulation,[],[f7603,f2715]) ).
fof(f7607,plain,
( op2(e22,e21) != h1(e11)
| ~ spl102_123
| ~ spl102_270
| ~ spl102_275
| spl102_355 ),
inference(forward_demodulation,[],[f7605,f1819]) ).
fof(f7608,plain,
( e21 != op2(e22,e21)
| ~ spl102_123
| ~ spl102_270
| ~ spl102_275
| spl102_355 ),
inference(forward_demodulation,[],[f7607,f2740]) ).
fof(f7609,plain,
( $false
| ~ spl102_19
| ~ spl102_123
| ~ spl102_270
| ~ spl102_275
| spl102_355 ),
inference(forward_subsumption_resolution,[],[f7608,f1109]) ).
fof(f7610,plain,
( ~ spl102_19
| ~ spl102_123
| ~ spl102_270
| ~ spl102_275
| spl102_355 ),
inference(avatar_contradiction_clause,[],[f7609]) ).
fof(f7612,plain,
( h1(op1(e11,e13)) != op2(h1(e11),e23)
| ~ spl102_265
| spl102_356 ),
inference(forward_demodulation,[],[f3379,f2690]) ).
fof(f7614,plain,
( op2(e21,e23) != h1(op1(e11,e13))
| ~ spl102_265
| ~ spl102_275
| spl102_356 ),
inference(forward_demodulation,[],[f7612,f2740]) ).
fof(f7616,plain,
( op2(e21,e23) != h1(e13)
| ~ spl102_129
| ~ spl102_265
| ~ spl102_275
| spl102_356 ),
inference(forward_demodulation,[],[f7614,f1845]) ).
fof(f7618,plain,
( e23 != op2(e21,e23)
| ~ spl102_129
| ~ spl102_265
| ~ spl102_275
| spl102_356 ),
inference(forward_demodulation,[],[f7616,f2690]) ).
fof(f7619,plain,
( $false
| ~ spl102_25
| ~ spl102_129
| ~ spl102_265
| ~ spl102_275
| spl102_356 ),
inference(forward_subsumption_resolution,[],[f7618,f1135]) ).
fof(f7620,plain,
( ~ spl102_25
| ~ spl102_129
| ~ spl102_265
| ~ spl102_275
| spl102_356 ),
inference(avatar_contradiction_clause,[],[f7619]) ).
fof(f7622,plain,
( h1(op1(e11,e12)) != op2(h1(e11),e22)
| ~ spl102_270
| spl102_357 ),
inference(forward_demodulation,[],[f3383,f2715]) ).
fof(f7624,plain,
( op2(e21,e22) != h1(op1(e11,e12))
| ~ spl102_270
| ~ spl102_275
| spl102_357 ),
inference(forward_demodulation,[],[f7622,f2740]) ).
fof(f7626,plain,
( op2(e21,e22) != h1(e11)
| ~ spl102_135
| ~ spl102_270
| ~ spl102_275
| spl102_357 ),
inference(forward_demodulation,[],[f7624,f1870]) ).
fof(f7628,plain,
( e21 != op2(e21,e22)
| ~ spl102_135
| ~ spl102_270
| ~ spl102_275
| spl102_357 ),
inference(forward_demodulation,[],[f7626,f2740]) ).
fof(f7629,plain,
( $false
| ~ spl102_31
| ~ spl102_135
| ~ spl102_270
| ~ spl102_275
| spl102_357 ),
inference(forward_subsumption_resolution,[],[f7628,f1160]) ).
fof(f7630,plain,
( ~ spl102_31
| ~ spl102_135
| ~ spl102_270
| ~ spl102_275
| spl102_357 ),
inference(avatar_contradiction_clause,[],[f7629]) ).
fof(f7632,plain,
( op2(e21,e21) != h1(op1(e11,e11))
| ~ spl102_275
| spl102_358 ),
inference(forward_demodulation,[],[f3387,f2740]) ).
fof(f7634,plain,
( op2(e21,e21) != h1(e12)
| ~ spl102_138
| ~ spl102_275
| spl102_358 ),
inference(forward_demodulation,[],[f7632,f1883]) ).
fof(f7636,plain,
( e22 != op2(e21,e21)
| ~ spl102_138
| ~ spl102_270
| ~ spl102_275
| spl102_358 ),
inference(forward_demodulation,[],[f7634,f2715]) ).
fof(f7638,plain,
( e22 != h2(e11)
| ~ spl102_138
| ~ spl102_270
| ~ spl102_275
| spl102_358 ),
inference(forward_demodulation,[],[f7636,f974]) ).
fof(f7639,plain,
( $false
| ~ spl102_138
| ~ spl102_259
| ~ spl102_270
| ~ spl102_275
| spl102_358 ),
inference(forward_subsumption_resolution,[],[f7638,f2660]) ).
fof(f7640,plain,
( ~ spl102_138
| ~ spl102_259
| ~ spl102_270
| ~ spl102_275
| spl102_358 ),
inference(avatar_contradiction_clause,[],[f7639]) ).
fof(f7642,plain,
( e23 != h1(e13)
| ~ spl102_153
| spl102_360 ),
inference(forward_demodulation,[],[f3395,f1947]) ).
fof(f7644,plain,
( $false
| ~ spl102_153
| ~ spl102_265
| spl102_360 ),
inference(forward_subsumption_resolution,[],[f7642,f2690]) ).
fof(f7645,plain,
( ~ spl102_153
| ~ spl102_265
| spl102_360 ),
inference(avatar_contradiction_clause,[],[f7644]) ).
fof(f7648,plain,
( op2(e20,e22) != h1(op1(e10,e12))
| ~ spl102_270
| spl102_361 ),
inference(forward_demodulation,[],[f3399,f2715]) ).
fof(f7649,plain,
( op2(e20,e22) != h1(e10)
| ~ spl102_152
| ~ spl102_270
| spl102_361 ),
inference(forward_demodulation,[],[f7648,f1942]) ).
fof(f7650,plain,
( e20 != op2(e20,e22)
| ~ spl102_152
| ~ spl102_270
| spl102_361 ),
inference(forward_demodulation,[],[f7649,f971]) ).
fof(f7651,plain,
( $false
| ~ spl102_44
| ~ spl102_152
| ~ spl102_270
| spl102_361 ),
inference(forward_subsumption_resolution,[],[f7650,f1216]) ).
fof(f7652,plain,
( ~ spl102_44
| ~ spl102_152
| ~ spl102_270
| spl102_361 ),
inference(avatar_contradiction_clause,[],[f7651]) ).
fof(f7654,plain,
( op2(e20,e23) != h1(op1(e10,e13))
| ~ spl102_265
| spl102_362 ),
inference(forward_demodulation,[],[f3403,f2690]) ).
fof(f7656,plain,
( op2(e20,e23) != h1(e12)
| ~ spl102_146
| ~ spl102_265
| spl102_362 ),
inference(forward_demodulation,[],[f7654,f1917]) ).
fof(f7658,plain,
( e22 != op2(e20,e23)
| ~ spl102_146
| ~ spl102_265
| ~ spl102_270
| spl102_362 ),
inference(forward_demodulation,[],[f7656,f2715]) ).
fof(f7659,plain,
( $false
| ~ spl102_38
| ~ spl102_146
| ~ spl102_265
| ~ spl102_270
| spl102_362 ),
inference(forward_subsumption_resolution,[],[f7658,f1191]) ).
fof(f7660,plain,
( ~ spl102_38
| ~ spl102_146
| ~ spl102_265
| ~ spl102_270
| spl102_362 ),
inference(avatar_contradiction_clause,[],[f7659]) ).
fof(f7662,plain,
( op2(e21,e20) != h1(op1(e11,e10))
| ~ spl102_275
| spl102_363 ),
inference(forward_demodulation,[],[f3407,f2740]) ).
fof(f7664,plain,
( op2(e21,e20) != h1(e10)
| ~ spl102_144
| ~ spl102_275
| spl102_363 ),
inference(forward_demodulation,[],[f7662,f1908]) ).
fof(f7666,plain,
( e20 != op2(e21,e20)
| ~ spl102_144
| ~ spl102_275
| spl102_363 ),
inference(forward_demodulation,[],[f7664,f971]) ).
fof(f7667,plain,
( $false
| ~ spl102_36
| ~ spl102_144
| ~ spl102_275
| spl102_363 ),
inference(forward_subsumption_resolution,[],[f7666,f1182]) ).
fof(f7668,plain,
( ~ spl102_36
| ~ spl102_144
| ~ spl102_275
| spl102_363 ),
inference(avatar_contradiction_clause,[],[f7667]) ).
fof(f7670,plain,
( op2(e22,e20) != h1(op1(e12,e10))
| ~ spl102_270
| spl102_364 ),
inference(forward_demodulation,[],[f3411,f2715]) ).
fof(f7672,plain,
( op2(e22,e20) != h1(e13)
| ~ spl102_125
| ~ spl102_270
| spl102_364 ),
inference(forward_demodulation,[],[f7670,f1828]) ).
fof(f7674,plain,
( e23 != op2(e22,e20)
| ~ spl102_125
| ~ spl102_265
| ~ spl102_270
| spl102_364 ),
inference(forward_demodulation,[],[f7672,f2690]) ).
fof(f7675,plain,
( $false
| ~ spl102_21
| ~ spl102_125
| ~ spl102_265
| ~ spl102_270
| spl102_364 ),
inference(forward_subsumption_resolution,[],[f7674,f1118]) ).
fof(f7676,plain,
( ~ spl102_21
| ~ spl102_125
| ~ spl102_265
| ~ spl102_270
| spl102_364 ),
inference(avatar_contradiction_clause,[],[f7675]) ).
fof(f7678,plain,
( h1(e12) != h1(e12)
| ~ spl102_110
| spl102_365 ),
inference(forward_demodulation,[],[f3415,f1764]) ).
fof(f7679,plain,
( $false
| ~ spl102_110
| spl102_365 ),
inference(trivial_inequality_removal,[],[f7678]) ).
fof(f7680,plain,
( ~ spl102_110
| spl102_365 ),
inference(avatar_contradiction_clause,[],[f7679]) ).
fof(f7698,plain,
( e22 = op2(e22,e20)
| ~ spl102_44
| ~ spl102_95 ),
inference(forward_demodulation,[],[f1603,f1216]) ).
fof(f7719,plain,
( spl102_10
| ~ spl102_265 ),
inference(avatar_split_clause,[],[f7556,f2689,f1068]) ).
fof(f7741,plain,
( ~ spl102_243
| ~ spl102_1 ),
inference(avatar_split_clause,[],[f6892,f1030,f2579]) ).
fof(f7750,plain,
( ~ spl102_22
| ~ spl102_10 ),
inference(avatar_split_clause,[],[f7540,f1068,f1120]) ).
fof(f7753,plain,
( ~ spl102_243
| ~ spl102_21 ),
inference(avatar_split_clause,[],[f6662,f1116,f2579]) ).
fof(f7764,plain,
( e11 = e13
| ~ spl102_133
| ~ spl102_135 ),
inference(forward_demodulation,[],[f1862,f1870]) ).
fof(f7797,plain,
( spl102_22
| ~ spl102_44
| ~ spl102_95 ),
inference(avatar_split_clause,[],[f7698,f1601,f1214,f1120]) ).
fof(f7804,plain,
( $false
| ~ spl102_133
| ~ spl102_135 ),
inference(forward_subsumption_resolution,[],[f7764,f295]) ).
fof(f7805,plain,
( ~ spl102_133
| ~ spl102_135 ),
inference(avatar_contradiction_clause,[],[f7804]) ).
cnf(s1,plain,
( spl102_1
| spl102_2
| spl102_3
| spl102_4 ),
inference(sat_conversion,[],[f1045]) ).
cnf(s13,plain,
( spl102_49
| spl102_50
| spl102_51
| spl102_52
| spl102_53
| spl102_54
| spl102_55
| spl102_56
| spl102_57
| spl102_58
| spl102_59
| spl102_60
| spl102_61
| spl102_62
| spl102_63 ),
inference(sat_conversion,[],[f1358]) ).
cnf(s17,plain,
~ spl102_49,
inference(sat_conversion,[],[f1501]) ).
cnf(s18,plain,
( ~ spl102_50
| spl102_79 ),
inference(sat_conversion,[],[f1506]) ).
cnf(s19,plain,
( ~ spl102_50
| spl102_80 ),
inference(sat_conversion,[],[f1512]) ).
cnf(s20,plain,
( ~ spl102_51
| spl102_81 ),
inference(sat_conversion,[],[f1517]) ).
cnf(s23,plain,
( ~ spl102_52
| spl102_84 ),
inference(sat_conversion,[],[f1534]) ).
cnf(s24,plain,
( ~ spl102_53
| spl102_85 ),
inference(sat_conversion,[],[f1539]) ).
cnf(s25,plain,
( ~ spl102_53
| spl102_80 ),
inference(sat_conversion,[],[f1541]) ).
cnf(s26,plain,
~ spl102_54,
inference(sat_conversion,[],[f1543]) ).
cnf(s27,plain,
( ~ spl102_55
| spl102_86 ),
inference(sat_conversion,[],[f1548]) ).
cnf(s30,plain,
( ~ spl102_56
| spl102_89 ),
inference(sat_conversion,[],[f1565]) ).
cnf(s31,plain,
( ~ spl102_57
| spl102_90 ),
inference(sat_conversion,[],[f1570]) ).
cnf(s33,plain,
( ~ spl102_58
| spl102_91 ),
inference(sat_conversion,[],[f1577]) ).
cnf(s34,plain,
( ~ spl102_58
| spl102_87 ),
inference(sat_conversion,[],[f1579]) ).
cnf(s35,plain,
~ spl102_59,
inference(sat_conversion,[],[f1581]) ).
cnf(s36,plain,
( ~ spl102_60
| spl102_92 ),
inference(sat_conversion,[],[f1586]) ).
cnf(s38,plain,
( ~ spl102_61
| spl102_94 ),
inference(sat_conversion,[],[f1597]) ).
cnf(s41,plain,
( ~ spl102_62
| spl102_89 ),
inference(sat_conversion,[],[f1606]) ).
cnf(s43,plain,
( ~ spl102_63
| spl102_93 ),
inference(sat_conversion,[],[f1613]) ).
cnf(s47,plain,
( ~ spl102_14
| ~ spl102_65 ),
inference(sat_conversion,[],[f1621]) ).
cnf(s48,plain,
( ~ spl102_27
| ~ spl102_65 ),
inference(sat_conversion,[],[f1622]) ).
cnf(s49,plain,
( ~ spl102_40
| ~ spl102_65 ),
inference(sat_conversion,[],[f1623]) ).
cnf(s50,plain,
( spl102_13
| ~ spl102_65 ),
inference(sat_conversion,[],[f1624]) ).
cnf(s51,plain,
( spl102_1
| ~ spl102_65 ),
inference(sat_conversion,[],[f1625]) ).
cnf(s56,plain,
( spl102_5
| ~ spl102_66 ),
inference(sat_conversion,[],[f1631]) ).
cnf(s61,plain,
( spl102_9
| ~ spl102_67 ),
inference(sat_conversion,[],[f1637]) ).
cnf(s62,plain,
( ~ spl102_1
| ~ spl102_68 ),
inference(sat_conversion,[],[f1638]) ).
cnf(s65,plain,
( spl102_2
| ~ spl102_68 ),
inference(sat_conversion,[],[f1642]) ).
cnf(s69,plain,
( ~ spl102_44
| ~ spl102_69 ),
inference(sat_conversion,[],[f1647]) ).
cnf(s70,plain,
( ~ spl102_1
| ~ spl102_70 ),
inference(sat_conversion,[],[f1650]) ).
cnf(s71,plain,
( ~ spl102_31
| ~ spl102_70 ),
inference(sat_conversion,[],[f1652]) ).
cnf(s72,plain,
( ~ spl102_44
| ~ spl102_70 ),
inference(sat_conversion,[],[f1653]) ).
cnf(s73,plain,
( spl102_30
| ~ spl102_70 ),
inference(sat_conversion,[],[f1654]) ).
cnf(s74,plain,
( spl102_18
| ~ spl102_70 ),
inference(sat_conversion,[],[f1655]) ).
cnf(s79,plain,
( spl102_22
| ~ spl102_71 ),
inference(sat_conversion,[],[f1661]) ).
cnf(s81,plain,
( ~ spl102_18
| ~ spl102_72 ),
inference(sat_conversion,[],[f1663]) ).
cnf(s83,plain,
( spl102_7
| ~ spl102_72 ),
inference(sat_conversion,[],[f1666]) ).
cnf(s84,plain,
( spl102_27
| ~ spl102_72 ),
inference(sat_conversion,[],[f1667]) ).
cnf(s86,plain,
( ~ spl102_18
| ~ spl102_73 ),
inference(sat_conversion,[],[f1669]) ).
cnf(s88,plain,
( spl102_19
| ~ spl102_73 ),
inference(sat_conversion,[],[f1672]) ).
cnf(s89,plain,
( spl102_31
| ~ spl102_73 ),
inference(sat_conversion,[],[f1673]) ).
cnf(s91,plain,
( ~ spl102_18
| ~ spl102_74 ),
inference(sat_conversion,[],[f1675]) ).
cnf(s96,plain,
( spl102_47
| ~ spl102_75 ),
inference(sat_conversion,[],[f1684]) ).
cnf(s101,plain,
( spl102_12
| ~ spl102_76 ),
inference(sat_conversion,[],[f1690]) ).
cnf(s106,plain,
( spl102_24
| ~ spl102_77 ),
inference(sat_conversion,[],[f1696]) ).
cnf(s107,plain,
( spl102_44
| ~ spl102_77 ),
inference(sat_conversion,[],[f1697]) ).
cnf(s112,plain,
( spl102_48
| ~ spl102_78 ),
inference(sat_conversion,[],[f1703]) ).
cnf(s117,plain,
( spl102_113
| spl102_114
| spl102_115
| spl102_116 ),
inference(sat_conversion,[],[f1790]) ).
cnf(s119,plain,
( spl102_121
| spl102_122
| spl102_123
| spl102_124 ),
inference(sat_conversion,[],[f1824]) ).
cnf(s129,plain,
( spl102_97
| spl102_113
| spl102_129
| spl102_145 ),
inference(sat_conversion,[],[f1978]) ).
cnf(s130,plain,
( spl102_97
| spl102_101
| spl102_105
| spl102_109 ),
inference(sat_conversion,[],[f1979]) ).
cnf(s131,plain,
( spl102_98
| spl102_114
| spl102_130
| spl102_146 ),
inference(sat_conversion,[],[f1980]) ).
cnf(s133,plain,
( spl102_99
| spl102_115
| spl102_131
| spl102_147 ),
inference(sat_conversion,[],[f1982]) ).
cnf(s134,plain,
( spl102_99
| spl102_103
| spl102_107
| spl102_111 ),
inference(sat_conversion,[],[f1983]) ).
cnf(s135,plain,
( spl102_100
| spl102_116
| spl102_132
| spl102_148 ),
inference(sat_conversion,[],[f1984]) ).
cnf(s136,plain,
( spl102_100
| spl102_104
| spl102_108
| spl102_112 ),
inference(sat_conversion,[],[f1985]) ).
cnf(s137,plain,
( spl102_101
| spl102_117
| spl102_133
| spl102_149 ),
inference(sat_conversion,[],[f1986]) ).
cnf(s138,plain,
( spl102_113
| spl102_117
| spl102_121
| spl102_125 ),
inference(sat_conversion,[],[f1987]) ).
cnf(s139,plain,
( spl102_102
| spl102_118
| spl102_134
| spl102_150 ),
inference(sat_conversion,[],[f1988]) ).
cnf(s140,plain,
( spl102_114
| spl102_118
| spl102_122
| spl102_126 ),
inference(sat_conversion,[],[f1989]) ).
cnf(s141,plain,
( spl102_103
| spl102_119
| spl102_135
| spl102_151 ),
inference(sat_conversion,[],[f1990]) ).
cnf(s142,plain,
( spl102_115
| spl102_119
| spl102_123
| spl102_127 ),
inference(sat_conversion,[],[f1991]) ).
cnf(s143,plain,
( spl102_104
| spl102_120
| spl102_136
| spl102_152 ),
inference(sat_conversion,[],[f1992]) ).
cnf(s144,plain,
( spl102_116
| spl102_120
| spl102_124
| spl102_128 ),
inference(sat_conversion,[],[f1993]) ).
cnf(s146,plain,
( spl102_129
| spl102_133
| spl102_137
| spl102_141 ),
inference(sat_conversion,[],[f1995]) ).
cnf(s147,plain,
( spl102_106
| spl102_122
| spl102_138
| spl102_154 ),
inference(sat_conversion,[],[f1996]) ).
cnf(s149,plain,
( spl102_107
| spl102_123
| spl102_139
| spl102_155 ),
inference(sat_conversion,[],[f1998]) ).
cnf(s150,plain,
( spl102_131
| spl102_135
| spl102_139
| spl102_143 ),
inference(sat_conversion,[],[f1999]) ).
cnf(s151,plain,
( spl102_108
| spl102_124
| spl102_140
| spl102_156 ),
inference(sat_conversion,[],[f2000]) ).
cnf(s152,plain,
( spl102_132
| spl102_136
| spl102_140
| spl102_144 ),
inference(sat_conversion,[],[f2001]) ).
cnf(s153,plain,
( spl102_109
| spl102_125
| spl102_141
| spl102_157 ),
inference(sat_conversion,[],[f2002]) ).
cnf(s156,plain,
( spl102_146
| spl102_150
| spl102_154
| spl102_158 ),
inference(sat_conversion,[],[f2005]) ).
cnf(s159,plain,
( spl102_112
| spl102_128
| spl102_144
| spl102_160 ),
inference(sat_conversion,[],[f2008]) ).
cnf(s160,plain,
( spl102_148
| spl102_152
| spl102_156
| spl102_160 ),
inference(sat_conversion,[],[f2009]) ).
cnf(s165,plain,
( spl102_160
| spl102_161
| spl102_162
| spl102_163
| spl102_164
| spl102_165
| spl102_166
| spl102_167
| spl102_168
| spl102_169
| spl102_170
| spl102_171
| spl102_172
| spl102_173
| spl102_174
| spl102_175 ),
inference(sat_conversion,[],[f2074]) ).
cnf(s167,plain,
( spl102_176
| spl102_177
| spl102_178
| spl102_179
| spl102_180
| spl102_181
| spl102_182
| spl102_183
| spl102_184
| spl102_185
| spl102_186
| spl102_187
| spl102_188
| spl102_189
| spl102_190 ),
inference(sat_conversion,[],[f2140]) ).
cnf(s172,plain,
( spl102_160
| spl102_192
| spl102_193
| spl102_194
| spl102_195
| spl102_196
| spl102_197
| spl102_198
| spl102_199
| spl102_200
| spl102_201
| spl102_202
| spl102_203
| spl102_204
| spl102_205
| spl102_206 ),
inference(sat_conversion,[],[f2205]) ).
cnf(s173,plain,
( spl102_160
| spl102_192
| spl102_193
| spl102_194
| spl102_195
| spl102_196
| spl102_197
| spl102_198
| spl102_199
| spl102_200
| spl102_201
| spl102_202
| spl102_203
| spl102_204
| spl102_205
| spl102_206 ),
inference(sat_conversion,[],[f2206]) ).
cnf(s174,plain,
( ~ spl102_97
| ~ spl102_161 ),
inference(sat_conversion,[],[f2207]) ).
cnf(s178,plain,
( spl102_97
| ~ spl102_161 ),
inference(sat_conversion,[],[f2211]) ).
cnf(s183,plain,
( spl102_98
| ~ spl102_162 ),
inference(sat_conversion,[],[f2216]) ).
cnf(s187,plain,
( ~ spl102_99
| ~ spl102_108
| ~ spl102_132
| ~ spl102_163 ),
inference(sat_conversion,[],[f2220]) ).
cnf(s188,plain,
( spl102_99
| ~ spl102_163 ),
inference(sat_conversion,[],[f2221]) ).
cnf(s190,plain,
( ~ spl102_100
| ~ spl102_110
| ~ spl102_146
| ~ spl102_164 ),
inference(sat_conversion,[],[f2223]) ).
cnf(s193,plain,
( spl102_100
| ~ spl102_164 ),
inference(sat_conversion,[],[f2226]) ).
cnf(s196,plain,
( ~ spl102_103
| ~ spl102_115
| ~ spl102_117
| ~ spl102_165 ),
inference(sat_conversion,[],[f2229]) ).
cnf(s198,plain,
( spl102_117
| ~ spl102_165 ),
inference(sat_conversion,[],[f2231]) ).
cnf(s200,plain,
( ~ spl102_118
| ~ spl102_166 ),
inference(sat_conversion,[],[f2233]) ).
cnf(s203,plain,
( spl102_118
| ~ spl102_166 ),
inference(sat_conversion,[],[f2236]) ).
cnf(s205,plain,
( ~ spl102_119
| ~ spl102_122
| ~ spl102_134
| ~ spl102_167 ),
inference(sat_conversion,[],[f2238]) ).
cnf(s208,plain,
( spl102_119
| ~ spl102_167 ),
inference(sat_conversion,[],[f2241]) ).
cnf(s213,plain,
( spl102_120
| ~ spl102_168 ),
inference(sat_conversion,[],[f2246]) ).
cnf(s218,plain,
( spl102_137
| ~ spl102_169 ),
inference(sat_conversion,[],[f2251]) ).
cnf(s221,plain,
( ~ spl102_123
| ~ spl102_135
| ~ spl102_138
| ~ spl102_170 ),
inference(sat_conversion,[],[f2254]) ).
cnf(s223,plain,
( spl102_138
| ~ spl102_170 ),
inference(sat_conversion,[],[f2256]) ).
cnf(s226,plain,
( ~ spl102_139
| ~ spl102_171 ),
inference(sat_conversion,[],[f2259]) ).
cnf(s228,plain,
( spl102_139
| ~ spl102_171 ),
inference(sat_conversion,[],[f2261]) ).
cnf(s229,plain,
( ~ spl102_140
| ~ spl102_141
| ~ spl102_153
| ~ spl102_172 ),
inference(sat_conversion,[],[f2262]) ).
cnf(s233,plain,
( spl102_140
| ~ spl102_172 ),
inference(sat_conversion,[],[f2266]) ).
cnf(s238,plain,
( spl102_157
| ~ spl102_173 ),
inference(sat_conversion,[],[f2271]) ).
cnf(s243,plain,
( spl102_158
| ~ spl102_174 ),
inference(sat_conversion,[],[f2276]) ).
cnf(s244,plain,
( ~ spl102_141
| ~ spl102_153
| ~ spl102_159
| ~ spl102_175 ),
inference(sat_conversion,[],[f2277]) ).
cnf(s250,plain,
~ spl102_176,
inference(sat_conversion,[],[f2287]) ).
cnf(s252,plain,
( ~ spl102_177
| spl102_209 ),
inference(sat_conversion,[],[f2297]) ).
cnf(s253,plain,
( ~ spl102_178
| spl102_210 ),
inference(sat_conversion,[],[f2302]) ).
cnf(s256,plain,
( ~ spl102_179
| spl102_213 ),
inference(sat_conversion,[],[f2317]) ).
cnf(s258,plain,
( ~ spl102_180
| spl102_209 ),
inference(sat_conversion,[],[f2323]) ).
cnf(s260,plain,
~ spl102_181,
inference(sat_conversion,[],[f2329]) ).
cnf(s261,plain,
( ~ spl102_182
| spl102_216 ),
inference(sat_conversion,[],[f2334]) ).
cnf(s264,plain,
( ~ spl102_183
| spl102_219 ),
inference(sat_conversion,[],[f2349]) ).
cnf(s265,plain,
( ~ spl102_184
| spl102_220 ),
inference(sat_conversion,[],[f2354]) ).
cnf(s266,plain,
( ~ spl102_184
| spl102_211 ),
inference(sat_conversion,[],[f2355]) ).
cnf(s267,plain,
( ~ spl102_185
| spl102_221 ),
inference(sat_conversion,[],[f2360]) ).
cnf(s268,plain,
( ~ spl102_185
| spl102_217 ),
inference(sat_conversion,[],[f2361]) ).
cnf(s270,plain,
~ spl102_186,
inference(sat_conversion,[],[f2367]) ).
cnf(s272,plain,
( ~ spl102_187
| spl102_224 ),
inference(sat_conversion,[],[f2377]) ).
cnf(s274,plain,
( ~ spl102_188
| spl102_213 ),
inference(sat_conversion,[],[f2383]) ).
cnf(s275,plain,
( ~ spl102_189
| spl102_226 ),
inference(sat_conversion,[],[f2388]) ).
cnf(s278,plain,
( ~ spl102_190
| spl102_224 ),
inference(sat_conversion,[],[f2395]) ).
cnf(s279,plain,
( ~ spl102_97
| ~ spl102_192 ),
inference(sat_conversion,[],[f2396]) ).
cnf(s280,plain,
( ~ spl102_114
| ~ spl102_192 ),
inference(sat_conversion,[],[f2397]) ).
cnf(s284,plain,
( spl102_97
| ~ spl102_192 ),
inference(sat_conversion,[],[f2401]) ).
cnf(s285,plain,
( ~ spl102_97
| ~ spl102_193 ),
inference(sat_conversion,[],[f2402]) ).
cnf(s286,plain,
( ~ spl102_114
| ~ spl102_193 ),
inference(sat_conversion,[],[f2403]) ).
cnf(s287,plain,
( ~ spl102_131
| ~ spl102_193 ),
inference(sat_conversion,[],[f2404]) ).
cnf(s288,plain,
( ~ spl102_148
| ~ spl102_193 ),
inference(sat_conversion,[],[f2405]) ).
cnf(s289,plain,
( spl102_113
| ~ spl102_193 ),
inference(sat_conversion,[],[f2406]) ).
cnf(s290,plain,
( spl102_101
| ~ spl102_193 ),
inference(sat_conversion,[],[f2407]) ).
cnf(s296,plain,
( spl102_105
| ~ spl102_194 ),
inference(sat_conversion,[],[f2413]) ).
cnf(s302,plain,
( spl102_109
| ~ spl102_195 ),
inference(sat_conversion,[],[f2419]) ).
cnf(s303,plain,
( ~ spl102_101
| ~ spl102_196 ),
inference(sat_conversion,[],[f2420]) ).
cnf(s307,plain,
( spl102_102
| ~ spl102_196 ),
inference(sat_conversion,[],[f2424]) ).
cnf(s308,plain,
( spl102_114
| ~ spl102_196 ),
inference(sat_conversion,[],[f2425]) ).
cnf(s309,plain,
( ~ spl102_101
| ~ spl102_197 ),
inference(sat_conversion,[],[f2426]) ).
cnf(s310,plain,
( ~ spl102_118
| ~ spl102_197 ),
inference(sat_conversion,[],[f2427]) ).
cnf(s314,plain,
( spl102_118
| ~ spl102_197 ),
inference(sat_conversion,[],[f2431]) ).
cnf(s315,plain,
( ~ spl102_101
| ~ spl102_198 ),
inference(sat_conversion,[],[f2432]) ).
cnf(s316,plain,
( ~ spl102_118
| ~ spl102_198 ),
inference(sat_conversion,[],[f2433]) ).
cnf(s317,plain,
( ~ spl102_135
| ~ spl102_198 ),
inference(sat_conversion,[],[f2434]) ).
cnf(s318,plain,
( ~ spl102_152
| ~ spl102_198 ),
inference(sat_conversion,[],[f2435]) ).
cnf(s319,plain,
( spl102_134
| ~ spl102_198 ),
inference(sat_conversion,[],[f2436]) ).
cnf(s320,plain,
( spl102_122
| ~ spl102_198 ),
inference(sat_conversion,[],[f2437]) ).
cnf(s326,plain,
( spl102_126
| ~ spl102_199 ),
inference(sat_conversion,[],[f2443]) ).
cnf(s328,plain,
( ~ spl102_122
| ~ spl102_200 ),
inference(sat_conversion,[],[f2445]) ).
cnf(s329,plain,
( ~ spl102_139
| ~ spl102_200 ),
inference(sat_conversion,[],[f2446]) ).
cnf(s331,plain,
( spl102_107
| ~ spl102_200 ),
inference(sat_conversion,[],[f2448]) ).
cnf(s332,plain,
( spl102_131
| ~ spl102_200 ),
inference(sat_conversion,[],[f2449]) ).
cnf(s334,plain,
( ~ spl102_122
| ~ spl102_201 ),
inference(sat_conversion,[],[f2451]) ).
cnf(s335,plain,
( ~ spl102_139
| ~ spl102_201 ),
inference(sat_conversion,[],[f2452]) ).
cnf(s337,plain,
( spl102_123
| ~ spl102_201 ),
inference(sat_conversion,[],[f2454]) ).
cnf(s338,plain,
( spl102_135
| ~ spl102_201 ),
inference(sat_conversion,[],[f2455]) ).
cnf(s340,plain,
( ~ spl102_122
| ~ spl102_202 ),
inference(sat_conversion,[],[f2457]) ).
cnf(s341,plain,
( ~ spl102_139
| ~ spl102_202 ),
inference(sat_conversion,[],[f2458]) ).
cnf(s344,plain,
( spl102_139
| ~ spl102_202 ),
inference(sat_conversion,[],[f2461]) ).
cnf(s349,plain,
( spl102_155
| ~ spl102_203 ),
inference(sat_conversion,[],[f2466]) ).
cnf(s355,plain,
( spl102_112
| ~ spl102_204 ),
inference(sat_conversion,[],[f2472]) ).
cnf(s361,plain,
( spl102_128
| ~ spl102_205 ),
inference(sat_conversion,[],[f2478]) ).
cnf(s362,plain,
( spl102_152
| ~ spl102_205 ),
inference(sat_conversion,[],[f2479]) ).
cnf(s368,plain,
( spl102_156
| ~ spl102_206 ),
inference(sat_conversion,[],[f2485]) ).
cnf(s369,plain,
spl102_159,
inference(sat_conversion,[],[f2487]) ).
cnf(s397,plain,
( ~ spl102_264
| ~ spl102_265 ),
inference(sat_conversion,[],[f2692]) ).
cnf(s401,plain,
( ~ spl102_268
| ~ spl102_270 ),
inference(sat_conversion,[],[f2717]) ).
cnf(s405,plain,
( ~ spl102_272
| ~ spl102_275 ),
inference(sat_conversion,[],[f2742]) ).
cnf(s406,plain,
( spl102_13
| spl102_25
| spl102_37
| spl102_231 ),
inference(sat_conversion,[],[f2747]) ).
cnf(s407,plain,
( spl102_1
| spl102_5
| spl102_9
| spl102_231 ),
inference(sat_conversion,[],[f2748]) ).
cnf(s408,plain,
( spl102_14
| spl102_26
| spl102_38
| spl102_235 ),
inference(sat_conversion,[],[f2749]) ).
cnf(s410,plain,
( spl102_15
| spl102_27
| spl102_39
| spl102_239 ),
inference(sat_conversion,[],[f2751]) ).
cnf(s411,plain,
( spl102_3
| spl102_7
| spl102_11
| spl102_239 ),
inference(sat_conversion,[],[f2752]) ).
cnf(s412,plain,
( spl102_16
| spl102_28
| spl102_40
| spl102_276 ),
inference(sat_conversion,[],[f2757]) ).
cnf(s413,plain,
( spl102_4
| spl102_8
| spl102_12
| spl102_276 ),
inference(sat_conversion,[],[f2758]) ).
cnf(s414,plain,
( spl102_1
| spl102_29
| spl102_41
| spl102_243 ),
inference(sat_conversion,[],[f2759]) ).
cnf(s415,plain,
( spl102_13
| spl102_17
| spl102_21
| spl102_243 ),
inference(sat_conversion,[],[f2760]) ).
cnf(s416,plain,
( spl102_2
| spl102_30
| spl102_42
| spl102_247 ),
inference(sat_conversion,[],[f2761]) ).
cnf(s417,plain,
( spl102_14
| spl102_18
| spl102_22
| spl102_247 ),
inference(sat_conversion,[],[f2762]) ).
cnf(s418,plain,
( spl102_3
| spl102_31
| spl102_43
| spl102_251 ),
inference(sat_conversion,[],[f2763]) ).
cnf(s419,plain,
( spl102_15
| spl102_19
| spl102_23
| spl102_251 ),
inference(sat_conversion,[],[f2764]) ).
cnf(s420,plain,
( spl102_4
| spl102_32
| spl102_44
| spl102_277 ),
inference(sat_conversion,[],[f2769]) ).
cnf(s421,plain,
( spl102_16
| spl102_20
| spl102_24
| spl102_277 ),
inference(sat_conversion,[],[f2770]) ).
cnf(s423,plain,
( spl102_25
| spl102_29
| spl102_33
| spl102_255 ),
inference(sat_conversion,[],[f2772]) ).
cnf(s424,plain,
( spl102_6
| spl102_18
| spl102_46
| spl102_259 ),
inference(sat_conversion,[],[f2773]) ).
cnf(s425,plain,
( spl102_26
| spl102_30
| spl102_34
| spl102_259 ),
inference(sat_conversion,[],[f2774]) ).
cnf(s426,plain,
( spl102_7
| spl102_19
| spl102_47
| spl102_263 ),
inference(sat_conversion,[],[f2775]) ).
cnf(s427,plain,
( spl102_27
| spl102_31
| spl102_35
| spl102_263 ),
inference(sat_conversion,[],[f2776]) ).
cnf(s428,plain,
( spl102_8
| spl102_20
| spl102_48
| spl102_278 ),
inference(sat_conversion,[],[f2781]) ).
cnf(s429,plain,
( spl102_28
| spl102_32
| spl102_36
| spl102_278 ),
inference(sat_conversion,[],[f2782]) ).
cnf(s430,plain,
( spl102_9
| spl102_21
| spl102_33
| spl102_267 ),
inference(sat_conversion,[],[f2783]) ).
cnf(s433,plain,
( spl102_38
| spl102_42
| spl102_46
| spl102_271 ),
inference(sat_conversion,[],[f2786]) ).
cnf(s436,plain,
( spl102_12
| spl102_24
| spl102_36
| spl102_279 ),
inference(sat_conversion,[],[f2793]) ).
cnf(s437,plain,
( spl102_40
| spl102_44
| spl102_48
| spl102_279 ),
inference(sat_conversion,[],[f2794]) ).
cnf(s439,plain,
( spl102_279
| spl102_280
| spl102_281
| spl102_282
| spl102_283
| spl102_284
| spl102_285
| spl102_286
| spl102_287
| spl102_288
| spl102_289
| spl102_290
| spl102_291
| spl102_292
| spl102_293
| spl102_294 ),
inference(sat_conversion,[],[f2859]) ).
cnf(s443,plain,
( spl102_64
| spl102_65
| spl102_66
| spl102_67
| spl102_68
| spl102_69
| spl102_70
| spl102_71
| spl102_72
| spl102_73
| spl102_74
| spl102_75
| spl102_76
| spl102_77
| spl102_78
| spl102_279 ),
inference(sat_conversion,[],[f2867]) ).
cnf(s444,plain,
( ~ spl102_231
| ~ spl102_280 ),
inference(sat_conversion,[],[f2868]) ).
cnf(s445,plain,
( spl102_231
| ~ spl102_280 ),
inference(sat_conversion,[],[f2872]) ).
cnf(s450,plain,
( spl102_235
| ~ spl102_281 ),
inference(sat_conversion,[],[f2877]) ).
cnf(s454,plain,
( ~ spl102_8
| ~ spl102_28
| ~ spl102_239
| ~ spl102_282 ),
inference(sat_conversion,[],[f2881]) ).
cnf(s455,plain,
( spl102_239
| ~ spl102_282 ),
inference(sat_conversion,[],[f2882]) ).
cnf(s457,plain,
( ~ spl102_10
| ~ spl102_38
| ~ spl102_276
| ~ spl102_283 ),
inference(sat_conversion,[],[f2884]) ).
cnf(s460,plain,
( spl102_276
| ~ spl102_283 ),
inference(sat_conversion,[],[f2887]) ).
cnf(s463,plain,
( ~ spl102_3
| ~ spl102_15
| ~ spl102_243
| ~ spl102_284 ),
inference(sat_conversion,[],[f2890]) ).
cnf(s465,plain,
( spl102_243
| ~ spl102_284 ),
inference(sat_conversion,[],[f2892]) ).
cnf(s466,plain,
( ~ spl102_247
| ~ spl102_285 ),
inference(sat_conversion,[],[f2894]) ).
cnf(s467,plain,
( spl102_247
| ~ spl102_285 ),
inference(sat_conversion,[],[f2897]) ).
cnf(s469,plain,
( ~ spl102_18
| ~ spl102_30
| ~ spl102_251
| ~ spl102_286 ),
inference(sat_conversion,[],[f2899]) ).
cnf(s472,plain,
( spl102_251
| ~ spl102_286 ),
inference(sat_conversion,[],[f2902]) ).
cnf(s477,plain,
( spl102_277
| ~ spl102_287 ),
inference(sat_conversion,[],[f2907]) ).
cnf(s482,plain,
( spl102_255
| ~ spl102_288 ),
inference(sat_conversion,[],[f2912]) ).
cnf(s485,plain,
( ~ spl102_19
| ~ spl102_31
| ~ spl102_259
| ~ spl102_289 ),
inference(sat_conversion,[],[f2915]) ).
cnf(s487,plain,
( spl102_259
| ~ spl102_289 ),
inference(sat_conversion,[],[f2917]) ).
cnf(s488,plain,
( ~ spl102_263
| ~ spl102_290 ),
inference(sat_conversion,[],[f2920]) ).
cnf(s489,plain,
( spl102_263
| ~ spl102_290 ),
inference(sat_conversion,[],[f2922]) ).
cnf(s490,plain,
( ~ spl102_33
| ~ spl102_45
| ~ spl102_278
| ~ spl102_291 ),
inference(sat_conversion,[],[f2923]) ).
cnf(s494,plain,
( spl102_278
| ~ spl102_291 ),
inference(sat_conversion,[],[f2927]) ).
cnf(s499,plain,
( spl102_267
| ~ spl102_292 ),
inference(sat_conversion,[],[f2932]) ).
cnf(s504,plain,
( spl102_271
| ~ spl102_293 ),
inference(sat_conversion,[],[f2937]) ).
cnf(s505,plain,
( ~ spl102_33
| ~ spl102_45
| ~ spl102_275
| ~ spl102_294 ),
inference(sat_conversion,[],[f2938]) ).
cnf(s513,plain,
( ~ spl102_64
| ~ spl102_231 ),
inference(sat_conversion,[],[f2946]) ).
cnf(s515,plain,
( ~ spl102_64
| spl102_231 ),
inference(sat_conversion,[],[f2948]) ).
cnf(s520,plain,
( ~ spl102_69
| ~ spl102_247 ),
inference(sat_conversion,[],[f2953]) ).
cnf(s522,plain,
( ~ spl102_69
| spl102_247 ),
inference(sat_conversion,[],[f2955]) ).
cnf(s527,plain,
( ~ spl102_74
| ~ spl102_263 ),
inference(sat_conversion,[],[f2960]) ).
cnf(s529,plain,
( ~ spl102_74
| spl102_263 ),
inference(sat_conversion,[],[f2962]) ).
cnf(s534,plain,
spl102_110,
inference(sat_conversion,[],[f2967]) ).
cnf(s565,plain,
( spl102_264
| spl102_268
| spl102_272
| ~ spl102_350
| ~ spl102_351
| ~ spl102_352
| ~ spl102_353
| ~ spl102_354
| ~ spl102_355
| ~ spl102_356
| ~ spl102_357
| ~ spl102_358
| ~ spl102_359
| ~ spl102_360
| ~ spl102_361
| ~ spl102_362
| ~ spl102_363
| ~ spl102_364
| ~ spl102_365 ),
inference(sat_conversion,[],[f3424]) ).
cnf(s566,plain,
( ~ spl102_159
| spl102_359 ),
inference(sat_conversion,[],[f3450]) ).
cnf(s569,plain,
( ~ spl102_5
| ~ spl102_7 ),
inference(sat_conversion,[],[f3467]) ).
cnf(s571,plain,
( ~ spl102_19
| ~ spl102_20 ),
inference(sat_conversion,[],[f3479]) ).
cnf(s572,plain,
( ~ spl102_33
| ~ spl102_35 ),
inference(sat_conversion,[],[f3481]) ).
cnf(s574,plain,
( ~ spl102_2
| ~ spl102_3 ),
inference(sat_conversion,[],[f3492]) ).
cnf(s576,plain,
( ~ spl102_235
| ~ spl102_239 ),
inference(sat_conversion,[],[f3499]) ).
cnf(s577,plain,
( ~ spl102_243
| ~ spl102_251 ),
inference(sat_conversion,[],[f3505]) ).
cnf(s578,plain,
( ~ spl102_243
| ~ spl102_251 ),
inference(sat_conversion,[],[f3507]) ).
cnf(s579,plain,
( ~ spl102_13
| ~ spl102_14 ),
inference(sat_conversion,[],[f3514]) ).
cnf(s581,plain,
( ~ spl102_13
| ~ spl102_15 ),
inference(sat_conversion,[],[f3521]) ).
cnf(s584,plain,
( ~ spl102_30
| ~ spl102_32 ),
inference(sat_conversion,[],[f3535]) ).
cnf(s586,plain,
( ~ spl102_255
| ~ spl102_259 ),
inference(sat_conversion,[],[f3542]) ).
cnf(s588,plain,
( ~ spl102_25
| ~ spl102_27 ),
inference(sat_conversion,[],[f3550]) ).
cnf(s591,plain,
( ~ spl102_259
| ~ spl102_263 ),
inference(sat_conversion,[],[f3562]) ).
cnf(s592,plain,
( ~ spl102_259
| ~ spl102_263 ),
inference(sat_conversion,[],[f3564]) ).
cnf(s593,plain,
( ~ spl102_20
| spl102_32
| ~ spl102_87 ),
inference(sat_conversion,[],[f3569]) ).
cnf(s597,plain,
( ~ spl102_2
| ~ spl102_4 ),
inference(sat_conversion,[],[f3589]) ).
cnf(s599,plain,
( ~ spl102_18
| ~ spl102_20 ),
inference(sat_conversion,[],[f3598]) ).
cnf(s600,plain,
( ~ spl102_26
| ~ spl102_27 ),
inference(sat_conversion,[],[f3605]) ).
cnf(s602,plain,
( ~ spl102_251
| ~ spl102_277 ),
inference(sat_conversion,[],[f3617]) ).
cnf(s603,plain,
( ~ spl102_251
| ~ spl102_277 ),
inference(sat_conversion,[],[f3619]) ).
cnf(s604,plain,
( ~ spl102_10
| ~ spl102_12 ),
inference(sat_conversion,[],[f3625]) ).
cnf(s607,plain,
( ~ spl102_3
| ~ spl102_4 ),
inference(sat_conversion,[],[f3649]) ).
cnf(s609,plain,
( ~ spl102_10
| ~ spl102_40
| ~ spl102_84 ),
inference(sat_conversion,[],[f3655]) ).
cnf(s616,plain,
( ~ spl102_29
| ~ spl102_30 ),
inference(sat_conversion,[],[f3701]) ).
cnf(s618,plain,
( ~ spl102_41
| ~ spl102_42 ),
inference(sat_conversion,[],[f3709]) ).
cnf(s620,plain,
( ~ spl102_45
| ~ spl102_46 ),
inference(sat_conversion,[],[f3719]) ).
cnf(s622,plain,
( ~ spl102_17
| ~ spl102_20 ),
inference(sat_conversion,[],[f3737]) ).
cnf(s623,plain,
( ~ spl102_259
| ~ spl102_278 ),
inference(sat_conversion,[],[f3739]) ).
cnf(s624,plain,
( spl102_1
| ~ spl102_14
| ~ spl102_85 ),
inference(sat_conversion,[],[f3742]) ).
cnf(s625,plain,
( ~ spl102_231
| ~ spl102_239 ),
inference(sat_conversion,[],[f3754]) ).
cnf(s627,plain,
( ~ spl102_9
| ~ spl102_10 ),
inference(sat_conversion,[],[f3764]) ).
cnf(s631,plain,
( ~ spl102_239
| ~ spl102_276 ),
inference(sat_conversion,[],[f3779]) ).
cnf(s638,plain,
( ~ spl102_14
| ~ spl102_16 ),
inference(sat_conversion,[],[f3815]) ).
cnf(s642,plain,
( ~ spl102_5
| ~ spl102_6 ),
inference(sat_conversion,[],[f3830]) ).
cnf(s648,plain,
( ~ spl102_38
| ~ spl102_40 ),
inference(sat_conversion,[],[f3859]) ).
cnf(s656,plain,
( ~ spl102_5
| ~ spl102_8 ),
inference(sat_conversion,[],[f3891]) ).
cnf(s657,plain,
( ~ spl102_45
| ~ spl102_47 ),
inference(sat_conversion,[],[f3897]) ).
cnf(s659,plain,
( ~ spl102_7
| ~ spl102_8 ),
inference(sat_conversion,[],[f3909]) ).
cnf(s662,plain,
( ~ spl102_45
| ~ spl102_48 ),
inference(sat_conversion,[],[f3916]) ).
cnf(s666,plain,
( ~ spl102_15
| ~ spl102_16 ),
inference(sat_conversion,[],[f3933]) ).
cnf(s669,plain,
( ~ spl102_29
| ~ spl102_32 ),
inference(sat_conversion,[],[f3957]) ).
cnf(s675,plain,
( ~ spl102_101
| ~ spl102_102 ),
inference(sat_conversion,[],[f4007]) ).
cnf(s676,plain,
( ~ spl102_105
| ~ spl102_107 ),
inference(sat_conversion,[],[f4014]) ).
cnf(s678,plain,
( ~ spl102_150
| ~ spl102_152 ),
inference(sat_conversion,[],[f4025]) ).
cnf(s679,plain,
( ~ spl102_105
| ~ spl102_108 ),
inference(sat_conversion,[],[f4027]) ).
cnf(s681,plain,
( ~ spl102_103
| spl102_115
| ~ spl102_209 ),
inference(sat_conversion,[],[f4029]) ).
cnf(s683,plain,
( ~ spl102_104
| spl102_116
| ~ spl102_209 ),
inference(sat_conversion,[],[f4039]) ).
cnf(s685,plain,
( ~ spl102_110
| ~ spl102_111 ),
inference(sat_conversion,[],[f4056]) ).
cnf(s687,plain,
( ~ spl102_113
| ~ spl102_114 ),
inference(sat_conversion,[],[f4065]) ).
cnf(s688,plain,
( ~ spl102_129
| ~ spl102_130 ),
inference(sat_conversion,[],[f4071]) ).
cnf(s690,plain,
( ~ spl102_101
| ~ spl102_114
| ~ spl102_209 ),
inference(sat_conversion,[],[f4075]) ).
cnf(s693,plain,
( ~ spl102_118
| ~ spl102_119 ),
inference(sat_conversion,[],[f4082]) ).
cnf(s694,plain,
( ~ spl102_129
| ~ spl102_131 ),
inference(sat_conversion,[],[f4084]) ).
cnf(s695,plain,
( ~ spl102_129
| ~ spl102_132 ),
inference(sat_conversion,[],[f4093]) ).
cnf(s699,plain,
( ~ spl102_114
| ~ spl102_115 ),
inference(sat_conversion,[],[f4108]) ).
cnf(s700,plain,
( ~ spl102_123
| ~ spl102_124 ),
inference(sat_conversion,[],[f4112]) ).
cnf(s701,plain,
( ~ spl102_107
| ~ spl102_108 ),
inference(sat_conversion,[],[f4118]) ).
cnf(s702,plain,
( ~ spl102_107
| ~ spl102_108 ),
inference(sat_conversion,[],[f4120]) ).
cnf(s704,plain,
( ~ spl102_122
| ~ spl102_123 ),
inference(sat_conversion,[],[f4128]) ).
cnf(s706,plain,
( ~ spl102_127
| ~ spl102_128 ),
inference(sat_conversion,[],[f4132]) ).
cnf(s708,plain,
( ~ spl102_101
| ~ spl102_103 ),
inference(sat_conversion,[],[f4140]) ).
cnf(s709,plain,
( ~ spl102_99
| ~ spl102_100 ),
inference(sat_conversion,[],[f4144]) ).
cnf(s711,plain,
( ~ spl102_121
| ~ spl102_122 ),
inference(sat_conversion,[],[f4154]) ).
cnf(s712,plain,
( ~ spl102_125
| ~ spl102_128 ),
inference(sat_conversion,[],[f4161]) ).
cnf(s714,plain,
( ~ spl102_121
| ~ spl102_124 ),
inference(sat_conversion,[],[f4171]) ).
cnf(s715,plain,
( ~ spl102_124
| spl102_136
| ~ spl102_217 ),
inference(sat_conversion,[],[f4172]) ).
cnf(s716,plain,
( ~ spl102_98
| ~ spl102_100 ),
inference(sat_conversion,[],[f4180]) ).
cnf(s720,plain,
( ~ spl102_134
| ~ spl102_135 ),
inference(sat_conversion,[],[f4205]) ).
cnf(s721,plain,
( ~ spl102_134
| ~ spl102_135 ),
inference(sat_conversion,[],[f4207]) ).
cnf(s723,plain,
( ~ spl102_117
| ~ spl102_118 ),
inference(sat_conversion,[],[f4219]) ).
cnf(s724,plain,
( ~ spl102_110
| ~ spl102_147
| ~ spl102_213 ),
inference(sat_conversion,[],[f4226]) ).
cnf(s726,plain,
( ~ spl102_121
| ~ spl102_123 ),
inference(sat_conversion,[],[f4237]) ).
cnf(s731,plain,
( ~ spl102_137
| ~ spl102_138 ),
inference(sat_conversion,[],[f4261]) ).
cnf(s732,plain,
( ~ spl102_141
| ~ spl102_144 ),
inference(sat_conversion,[],[f4267]) ).
cnf(s733,plain,
( ~ spl102_141
| ~ spl102_144 ),
inference(sat_conversion,[],[f4269]) ).
cnf(s735,plain,
( ~ spl102_138
| ~ spl102_139 ),
inference(sat_conversion,[],[f4287]) ).
cnf(s736,plain,
( ~ spl102_149
| ~ spl102_152 ),
inference(sat_conversion,[],[f4296]) ).
cnf(s743,plain,
( ~ spl102_145
| ~ spl102_146 ),
inference(sat_conversion,[],[f4321]) ).
cnf(s744,plain,
( ~ spl102_157
| ~ spl102_159 ),
inference(sat_conversion,[],[f4328]) ).
cnf(s745,plain,
( ~ spl102_153
| ~ spl102_154 ),
inference(sat_conversion,[],[f4335]) ).
cnf(s746,plain,
( ~ spl102_106
| ~ spl102_108 ),
inference(sat_conversion,[],[f4342]) ).
cnf(s747,plain,
( ~ spl102_153
| ~ spl102_155 ),
inference(sat_conversion,[],[f4344]) ).
cnf(s748,plain,
( ~ spl102_153
| ~ spl102_156 ),
inference(sat_conversion,[],[f4353]) ).
cnf(s752,plain,
( ~ spl102_110
| ~ spl102_112 ),
inference(sat_conversion,[],[f4370]) ).
cnf(s753,plain,
( ~ spl102_117
| ~ spl102_119 ),
inference(sat_conversion,[],[f4378]) ).
cnf(s755,plain,
( ~ spl102_115
| ~ spl102_116 ),
inference(sat_conversion,[],[f4388]) ).
cnf(s756,plain,
( ~ spl102_151
| ~ spl102_152 ),
inference(sat_conversion,[],[f4390]) ).
cnf(s762,plain,
( ~ spl102_102
| ~ spl102_104 ),
inference(sat_conversion,[],[f4418]) ).
cnf(s763,plain,
( ~ spl102_97
| ~ spl102_99 ),
inference(sat_conversion,[],[f4422]) ).
cnf(s765,plain,
( ~ spl102_109
| ~ spl102_110 ),
inference(sat_conversion,[],[f4435]) ).
cnf(s766,plain,
( ~ spl102_158
| ~ spl102_159 ),
inference(sat_conversion,[],[f4437]) ).
cnf(s767,plain,
( ~ spl102_102
| spl102_114
| ~ spl102_209 ),
inference(sat_conversion,[],[f4439]) ).
cnf(s773,plain,
( ~ spl102_110
| ~ spl102_146
| spl102_213 ),
inference(sat_conversion,[],[f4466]) ).
cnf(s781,plain,
( spl102_122
| ~ spl102_135
| ~ spl102_221 ),
inference(sat_conversion,[],[f4509]) ).
cnf(s782,plain,
( ~ spl102_126
| ~ spl102_128 ),
inference(sat_conversion,[],[f4511]) ).
cnf(s783,plain,
( ~ spl102_124
| spl102_143
| ~ spl102_216 ),
inference(sat_conversion,[],[f4512]) ).
cnf(s784,plain,
( ~ spl102_113
| ~ spl102_115 ),
inference(sat_conversion,[],[f4520]) ).
cnf(s785,plain,
( ~ spl102_118
| ~ spl102_120 ),
inference(sat_conversion,[],[f4522]) ).
cnf(s786,plain,
( ~ spl102_117
| ~ spl102_120 ),
inference(sat_conversion,[],[f4537]) ).
cnf(s787,plain,
( ~ spl102_122
| ~ spl102_124 ),
inference(sat_conversion,[],[f4539]) ).
cnf(s791,plain,
( ~ spl102_134
| ~ spl102_136 ),
inference(sat_conversion,[],[f4547]) ).
cnf(s796,plain,
( ~ spl102_103
| ~ spl102_115
| spl102_209 ),
inference(sat_conversion,[],[f4567]) ).
cnf(s800,plain,
( ~ spl102_103
| ~ spl102_104 ),
inference(sat_conversion,[],[f4598]) ).
cnf(s803,plain,
( ~ spl102_98
| ~ spl102_99 ),
inference(sat_conversion,[],[f4615]) ).
cnf(s805,plain,
( ~ spl102_105
| ~ spl102_106 ),
inference(sat_conversion,[],[f4635]) ).
cnf(s806,plain,
( ~ spl102_138
| ~ spl102_140 ),
inference(sat_conversion,[],[f4642]) ).
cnf(s808,plain,
( ~ spl102_113
| ~ spl102_116 ),
inference(sat_conversion,[],[f4652]) ).
cnf(s821,plain,
( ~ spl102_97
| ~ spl102_100 ),
inference(sat_conversion,[],[f4730]) ).
cnf(s823,plain,
( ~ spl102_106
| ~ spl102_107 ),
inference(sat_conversion,[],[f4742]) ).
cnf(s828,plain,
( ~ spl102_101
| ~ spl102_104 ),
inference(sat_conversion,[],[f4765]) ).
cnf(s834,plain,
( spl102_105
| ~ spl102_131
| ~ spl102_220 ),
inference(sat_conversion,[],[f4791]) ).
cnf(s839,plain,
( ~ spl102_137
| ~ spl102_140 ),
inference(sat_conversion,[],[f4834]) ).
cnf(s854,plain,
( ~ spl102_141
| ~ spl102_143 ),
inference(sat_conversion,[],[f4913]) ).
cnf(s855,plain,
( ~ spl102_125
| ~ spl102_126 ),
inference(sat_conversion,[],[f4921]) ).
cnf(s858,plain,
( ~ spl102_137
| ~ spl102_139 ),
inference(sat_conversion,[],[f4946]) ).
cnf(s859,plain,
( ~ spl102_137
| ~ spl102_139 ),
inference(sat_conversion,[],[f4948]) ).
cnf(s862,plain,
( ~ spl102_130
| ~ spl102_132 ),
inference(sat_conversion,[],[f4959]) ).
cnf(s879,plain,
( ~ spl102_107
| spl102_139
| ~ spl102_210 ),
inference(sat_conversion,[],[f5020]) ).
cnf(s899,plain,
( ~ spl102_119
| ~ spl102_120 ),
inference(sat_conversion,[],[f5121]) ).
cnf(s901,plain,
( ~ spl102_114
| ~ spl102_116 ),
inference(sat_conversion,[],[f5130]) ).
cnf(s905,plain,
( ~ spl102_97
| ~ spl102_98 ),
inference(sat_conversion,[],[f5179]) ).
cnf(s907,plain,
( ~ spl102_130
| ~ spl102_131 ),
inference(sat_conversion,[],[f5191]) ).
cnf(s908,plain,
( ~ spl102_149
| ~ spl102_150 ),
inference(sat_conversion,[],[f5207]) ).
cnf(s909,plain,
( ~ spl102_149
| ~ spl102_150 ),
inference(sat_conversion,[],[f5209]) ).
cnf(s917,plain,
( ~ spl102_145
| ~ spl102_148 ),
inference(sat_conversion,[],[f5244]) ).
cnf(s920,plain,
( ~ spl102_159
| ~ spl102_160 ),
inference(sat_conversion,[],[f5272]) ).
cnf(s925,plain,
( ~ spl102_139
| ~ spl102_140 ),
inference(sat_conversion,[],[f5325]) ).
cnf(s926,plain,
( ~ spl102_108
| spl102_132
| ~ spl102_211 ),
inference(sat_conversion,[],[f5332]) ).
cnf(s927,plain,
( ~ spl102_102
| ~ spl102_114
| spl102_209 ),
inference(sat_conversion,[],[f5335]) ).
cnf(s934,plain,
( ~ spl102_135
| ~ spl102_136 ),
inference(sat_conversion,[],[f5377]) ).
cnf(s935,plain,
( ~ spl102_123
| spl102_139
| ~ spl102_216 ),
inference(sat_conversion,[],[f5378]) ).
cnf(s936,plain,
( spl102_118
| ~ spl102_150
| ~ spl102_226 ),
inference(sat_conversion,[],[f5381]) ).
cnf(s941,plain,
( ~ spl102_146
| ~ spl102_148 ),
inference(sat_conversion,[],[f5416]) ).
cnf(s946,plain,
( ~ spl102_110
| ~ spl102_148
| ~ spl102_213 ),
inference(sat_conversion,[],[f5430]) ).
cnf(s947,plain,
( ~ spl102_131
| ~ spl102_132 ),
inference(sat_conversion,[],[f5448]) ).
cnf(s948,plain,
( ~ spl102_131
| ~ spl102_132 ),
inference(sat_conversion,[],[f5450]) ).
cnf(s958,plain,
( ~ spl102_144
| spl102_156
| ~ spl102_224 ),
inference(sat_conversion,[],[f5544]) ).
cnf(s961,plain,
( ~ spl102_125
| spl102_149
| ~ spl102_219 ),
inference(sat_conversion,[],[f5550]) ).
cnf(s971,plain,
~ spl102_279,
inference(sat_conversion,[],[f5651]) ).
cnf(s973,plain,
spl102_275,
inference(sat_conversion,[],[f5657]) ).
cnf(s977,plain,
( ~ spl102_13
| ~ spl102_16 ),
inference(sat_conversion,[],[f5677]) ).
cnf(s978,plain,
( ~ spl102_33
| ~ spl102_36 ),
inference(sat_conversion,[],[f5679]) ).
cnf(s982,plain,
( ~ spl102_17
| ~ spl102_19 ),
inference(sat_conversion,[],[f5715]) ).
cnf(s983,plain,
( ~ spl102_18
| ~ spl102_19 ),
inference(sat_conversion,[],[f5717]) ).
cnf(s984,plain,
( ~ spl102_271
| ~ spl102_275 ),
inference(sat_conversion,[],[f5719]) ).
cnf(s988,plain,
( ~ spl102_31
| ~ spl102_32 ),
inference(sat_conversion,[],[f5739]) ).
cnf(s989,plain,
( ~ spl102_1
| ~ spl102_2 ),
inference(sat_conversion,[],[f5750]) ).
cnf(s992,plain,
( ~ spl102_6
| ~ spl102_8 ),
inference(sat_conversion,[],[f5781]) ).
cnf(s995,plain,
( ~ spl102_263
| ~ spl102_278 ),
inference(sat_conversion,[],[f5826]) ).
cnf(s996,plain,
( ~ spl102_263
| ~ spl102_278 ),
inference(sat_conversion,[],[f5828]) ).
cnf(s998,plain,
( ~ spl102_17
| ~ spl102_18 ),
inference(sat_conversion,[],[f5836]) ).
cnf(s999,plain,
( ~ spl102_255
| ~ spl102_263 ),
inference(sat_conversion,[],[f5840]) ).
cnf(s1000,plain,
( ~ spl102_27
| ~ spl102_28 ),
inference(sat_conversion,[],[f5852]) ).
cnf(s1005,plain,
( ~ spl102_235
| ~ spl102_276 ),
inference(sat_conversion,[],[f5877]) ).
cnf(s1007,plain,
( ~ spl102_6
| ~ spl102_7 ),
inference(sat_conversion,[],[f5888]) ).
cnf(s1008,plain,
( ~ spl102_14
| ~ spl102_15 ),
inference(sat_conversion,[],[f5890]) ).
cnf(s1013,plain,
( ~ spl102_231
| ~ spl102_276 ),
inference(sat_conversion,[],[f5926]) ).
cnf(s1014,plain,
( ~ spl102_267
| ~ spl102_275 ),
inference(sat_conversion,[],[f5928]) ).
cnf(s1015,plain,
( ~ spl102_18
| ~ spl102_43
| spl102_95 ),
inference(sat_conversion,[],[f5931]) ).
cnf(s1023,plain,
( ~ spl102_4
| spl102_22
| ~ spl102_79 ),
inference(sat_conversion,[],[f5979]) ).
cnf(s1031,plain,
( ~ spl102_247
| ~ spl102_277 ),
inference(sat_conversion,[],[f6054]) ).
cnf(s1032,plain,
( ~ spl102_1
| ~ spl102_3 ),
inference(sat_conversion,[],[f6064]) ).
cnf(s1033,plain,
( ~ spl102_243
| ~ spl102_247 ),
inference(sat_conversion,[],[f6077]) ).
cnf(s1034,plain,
( ~ spl102_21
| spl102_41
| ~ spl102_89 ),
inference(sat_conversion,[],[f6101]) ).
cnf(s1039,plain,
( ~ spl102_33
| ~ spl102_34 ),
inference(sat_conversion,[],[f6129]) ).
cnf(s1043,plain,
( ~ spl102_10
| ~ spl102_11 ),
inference(sat_conversion,[],[f6148]) ).
cnf(s1045,plain,
( ~ spl102_21
| ~ spl102_24 ),
inference(sat_conversion,[],[f6164]) ).
cnf(s1047,plain,
( ~ spl102_41
| ~ spl102_44 ),
inference(sat_conversion,[],[f6168]) ).
cnf(s1052,plain,
( spl102_18
| ~ spl102_31
| ~ spl102_91 ),
inference(sat_conversion,[],[f6220]) ).
cnf(s1058,plain,
( ~ spl102_29
| ~ spl102_31 ),
inference(sat_conversion,[],[f6247]) ).
cnf(s1059,plain,
( ~ spl102_37
| ~ spl102_38 ),
inference(sat_conversion,[],[f6249]) ).
cnf(s1069,plain,
( ~ spl102_30
| ~ spl102_31 ),
inference(sat_conversion,[],[f6284]) ).
cnf(s1073,plain,
( ~ spl102_34
| ~ spl102_36 ),
inference(sat_conversion,[],[f6336]) ).
cnf(s1075,plain,
( ~ spl102_243
| ~ spl102_277 ),
inference(sat_conversion,[],[f6338]) ).
cnf(s1077,plain,
( ~ spl102_8
| ~ spl102_36
| ~ spl102_81 ),
inference(sat_conversion,[],[f6346]) ).
cnf(s1079,plain,
( ~ spl102_37
| ~ spl102_40 ),
inference(sat_conversion,[],[f6386]) ).
cnf(s1083,plain,
( spl102_9
| ~ spl102_40
| ~ spl102_94 ),
inference(sat_conversion,[],[f6405]) ).
cnf(s1085,plain,
( ~ spl102_42
| ~ spl102_44 ),
inference(sat_conversion,[],[f6428]) ).
cnf(s1086,plain,
( ~ spl102_42
| ~ spl102_44 ),
inference(sat_conversion,[],[f6430]) ).
cnf(s1090,plain,
( spl102_5
| ~ spl102_27
| ~ spl102_90 ),
inference(sat_conversion,[],[f6462]) ).
cnf(s1095,plain,
( ~ spl102_255
| ~ spl102_278 ),
inference(sat_conversion,[],[f6506]) ).
cnf(s1100,plain,
( ~ spl102_247
| ~ spl102_251 ),
inference(sat_conversion,[],[f6541]) ).
cnf(s1105,plain,
( ~ spl102_231
| ~ spl102_235 ),
inference(sat_conversion,[],[f6580]) ).
cnf(s1112,plain,
( ~ spl102_20
| ~ spl102_36
| ~ spl102_86 ),
inference(sat_conversion,[],[f6636]) ).
cnf(s1113,plain,
( spl102_45
| ~ spl102_275 ),
inference(sat_conversion,[],[f6696]) ).
cnf(s1114,plain,
( ~ spl102_7
| ~ spl102_81
| spl102_263 ),
inference(sat_conversion,[],[f6700]) ).
cnf(s1117,plain,
( ~ spl102_36
| spl102_48
| ~ spl102_93 ),
inference(sat_conversion,[],[f6727]) ).
cnf(s1124,plain,
( ~ spl102_1
| ~ spl102_4 ),
inference(sat_conversion,[],[f6761]) ).
cnf(s1129,plain,
( ~ spl102_23
| ~ spl102_275 ),
inference(sat_conversion,[],[f6800]) ).
cnf(s1132,plain,
( ~ spl102_14
| ~ spl102_247 ),
inference(sat_conversion,[],[f6807]) ).
cnf(s1144,plain,
( ~ spl102_1
| spl102_13
| ~ spl102_80 ),
inference(sat_conversion,[],[f6873]) ).
cnf(s1146,plain,
( ~ spl102_1
| ~ spl102_231 ),
inference(sat_conversion,[],[f6897]) ).
cnf(s1149,plain,
( ~ spl102_39
| ~ spl102_275 ),
inference(sat_conversion,[],[f6942]) ).
cnf(s1160,plain,
( ~ spl102_19
| ~ spl102_86
| spl102_263 ),
inference(sat_conversion,[],[f7011]) ).
cnf(s1163,plain,
( ~ spl102_36
| ~ spl102_278 ),
inference(sat_conversion,[],[f7017]) ).
cnf(s1174,plain,
( ~ spl102_8
| ~ spl102_35
| spl102_81 ),
inference(sat_conversion,[],[f7101]) ).
cnf(s1175,plain,
( ~ spl102_8
| ~ spl102_278 ),
inference(sat_conversion,[],[f7103]) ).
cnf(s1182,plain,
( ~ spl102_36
| ~ spl102_92
| spl102_279 ),
inference(sat_conversion,[],[f7181]) ).
cnf(s1184,plain,
( ~ spl102_25
| ~ spl102_90
| spl102_231 ),
inference(sat_conversion,[],[f7189]) ).
cnf(s1185,plain,
( spl102_153
| ~ spl102_159 ),
inference(sat_conversion,[],[f7194]) ).
cnf(s1190,plain,
( ~ spl102_133
| ~ spl102_136 ),
inference(sat_conversion,[],[f7233]) ).
cnf(s1192,plain,
( ~ spl102_125
| ~ spl102_127 ),
inference(sat_conversion,[],[f7274]) ).
cnf(s1202,plain,
( ~ spl102_143
| ~ spl102_144 ),
inference(sat_conversion,[],[f7320]) ).
cnf(s1203,plain,
( ~ spl102_108
| ~ spl102_144
| ~ spl102_210 ),
inference(sat_conversion,[],[f7327]) ).
cnf(s1205,plain,
( ~ spl102_133
| ~ spl102_134 ),
inference(sat_conversion,[],[f7352]) ).
cnf(s1212,plain,
spl102_270,
inference(sat_conversion,[],[f7545]) ).
cnf(s1215,plain,
spl102_265,
inference(sat_conversion,[],[f7552]) ).
cnf(s1217,plain,
( ~ spl102_1
| ~ spl102_101
| ~ spl102_265
| ~ spl102_270
| spl102_351 ),
inference(sat_conversion,[],[f7562]) ).
cnf(s1218,plain,
( ~ spl102_99
| ~ spl102_239
| ~ spl102_265
| ~ spl102_275
| spl102_350 ),
inference(sat_conversion,[],[f7572]) ).
cnf(s1219,plain,
( ~ spl102_8
| ~ spl102_108
| ~ spl102_265
| ~ spl102_275
| spl102_352 ),
inference(sat_conversion,[],[f7581]) ).
cnf(s1220,plain,
( ~ spl102_16
| ~ spl102_116
| ~ spl102_265
| ~ spl102_270
| spl102_353 ),
inference(sat_conversion,[],[f7591]) ).
cnf(s1221,plain,
( ~ spl102_118
| ~ spl102_247
| ~ spl102_270
| spl102_354 ),
inference(sat_conversion,[],[f7601]) ).
cnf(s1222,plain,
( ~ spl102_19
| ~ spl102_123
| ~ spl102_270
| ~ spl102_275
| spl102_355 ),
inference(sat_conversion,[],[f7610]) ).
cnf(s1223,plain,
( ~ spl102_25
| ~ spl102_129
| ~ spl102_265
| ~ spl102_275
| spl102_356 ),
inference(sat_conversion,[],[f7620]) ).
cnf(s1224,plain,
( ~ spl102_31
| ~ spl102_135
| ~ spl102_270
| ~ spl102_275
| spl102_357 ),
inference(sat_conversion,[],[f7630]) ).
cnf(s1225,plain,
( ~ spl102_138
| ~ spl102_259
| ~ spl102_270
| ~ spl102_275
| spl102_358 ),
inference(sat_conversion,[],[f7640]) ).
cnf(s1226,plain,
( ~ spl102_153
| ~ spl102_265
| spl102_360 ),
inference(sat_conversion,[],[f7645]) ).
cnf(s1227,plain,
( ~ spl102_44
| ~ spl102_152
| ~ spl102_270
| spl102_361 ),
inference(sat_conversion,[],[f7652]) ).
cnf(s1228,plain,
( ~ spl102_38
| ~ spl102_146
| ~ spl102_265
| ~ spl102_270
| spl102_362 ),
inference(sat_conversion,[],[f7660]) ).
cnf(s1229,plain,
( ~ spl102_36
| ~ spl102_144
| ~ spl102_275
| spl102_363 ),
inference(sat_conversion,[],[f7668]) ).
cnf(s1230,plain,
( ~ spl102_21
| ~ spl102_125
| ~ spl102_265
| ~ spl102_270
| spl102_364 ),
inference(sat_conversion,[],[f7676]) ).
cnf(s1231,plain,
( ~ spl102_110
| spl102_365 ),
inference(sat_conversion,[],[f7680]) ).
cnf(s1235,plain,
( spl102_10
| ~ spl102_265 ),
inference(sat_conversion,[],[f7719]) ).
cnf(s1241,plain,
( ~ spl102_1
| ~ spl102_243 ),
inference(sat_conversion,[],[f7741]) ).
cnf(s1243,plain,
( ~ spl102_10
| ~ spl102_22 ),
inference(sat_conversion,[],[f7750]) ).
cnf(s1244,plain,
( ~ spl102_21
| ~ spl102_243 ),
inference(sat_conversion,[],[f7753]) ).
cnf(s1245,plain,
( spl102_22
| ~ spl102_44
| ~ spl102_95 ),
inference(sat_conversion,[],[f7797]) ).
cnf(s1246,plain,
( ~ spl102_133
| ~ spl102_135 ),
inference(sat_conversion,[],[f7805]) ).
cnf(s1249,plain,
spl102_10,
inference(rat,[],[s1235,s1215]) ).
cnf(s1250,plain,
~ spl102_22,
inference(rat,[],[s1243,s1249]) ).
cnf(s1255,plain,
~ spl102_11,
inference(rat,[],[s1043,s1249]) ).
cnf(s1257,plain,
( ~ spl102_4
| ~ spl102_79 ),
inference(rat,[],[s1023,s1250]) ).
cnf(s1260,plain,
~ spl102_39,
inference(rat,[],[s1149,s973]) ).
cnf(s1261,plain,
~ spl102_23,
inference(rat,[],[s1129,s973]) ).
cnf(s1262,plain,
spl102_45,
inference(rat,[],[s1113,s973]) ).
cnf(s1263,plain,
~ spl102_267,
inference(rat,[],[s1014,s973]) ).
cnf(s1264,plain,
~ spl102_271,
inference(rat,[],[s984,s973]) ).
cnf(s1265,plain,
~ spl102_48,
inference(rat,[],[s662,s1262]) ).
cnf(s1266,plain,
~ spl102_47,
inference(rat,[],[s657,s1262]) ).
cnf(s1267,plain,
~ spl102_9,
inference(rat,[],[s627,s1249]) ).
cnf(s1268,plain,
~ spl102_46,
inference(rat,[],[s620,s1262]) ).
cnf(s1269,plain,
( ~ spl102_40
| ~ spl102_84 ),
inference(rat,[],[s609,s1249]) ).
cnf(s1270,plain,
~ spl102_12,
inference(rat,[],[s604,s1249]) ).
cnf(s1271,plain,
spl102_365,
inference(rat,[],[s1231,s534]) ).
cnf(s1272,plain,
~ spl102_109,
inference(rat,[],[s765,s534]) ).
cnf(s1273,plain,
~ spl102_112,
inference(rat,[],[s752,s534]) ).
cnf(s1274,plain,
~ spl102_111,
inference(rat,[],[s685,s534]) ).
cnf(s1275,plain,
( ~ spl102_33
| ~ spl102_294 ),
inference(rat,[],[s505,s973,s1262]) ).
cnf(s1276,plain,
~ spl102_293,
inference(rat,[],[s504,s1264]) ).
cnf(s1277,plain,
~ spl102_292,
inference(rat,[],[s499,s1263]) ).
cnf(s1278,plain,
( ~ spl102_33
| ~ spl102_278
| ~ spl102_291 ),
inference(rat,[],[s490,s1262]) ).
cnf(s1279,plain,
( ~ spl102_38
| ~ spl102_276
| ~ spl102_283 ),
inference(rat,[],[s457,s1249]) ).
cnf(s1280,plain,
( spl102_64
| spl102_65
| spl102_66
| spl102_67
| spl102_68
| spl102_69
| spl102_70
| spl102_71
| spl102_72
| spl102_73
| spl102_74
| spl102_75
| spl102_76
| spl102_77
| spl102_78 ),
inference(rat,[],[s443,s971]) ).
cnf(s1282,plain,
( spl102_280
| spl102_281
| spl102_282
| spl102_283
| spl102_284
| spl102_285
| spl102_286
| spl102_287
| spl102_288
| spl102_289
| spl102_290
| spl102_291
| spl102_294 ),
inference(rat,[],[s439,s1276,s1277,s971]) ).
cnf(s1283,plain,
( spl102_40
| spl102_44 ),
inference(rat,[],[s437,s971,s1265]) ).
cnf(s1284,plain,
( spl102_24
| spl102_36 ),
inference(rat,[],[s436,s971,s1270]) ).
cnf(s1285,plain,
( spl102_38
| spl102_42 ),
inference(rat,[],[s433,s1264,s1268]) ).
cnf(s1286,plain,
( spl102_21
| spl102_33 ),
inference(rat,[],[s430,s1263,s1267]) ).
cnf(s1287,plain,
( spl102_8
| spl102_20
| spl102_278 ),
inference(rat,[],[s428,s1265]) ).
cnf(s1288,plain,
( spl102_7
| spl102_19
| spl102_263 ),
inference(rat,[],[s426,s1266]) ).
cnf(s1289,plain,
( spl102_6
| spl102_18
| spl102_259 ),
inference(rat,[],[s424,s1268]) ).
cnf(s1290,plain,
( spl102_15
| spl102_19
| spl102_251 ),
inference(rat,[],[s419,s1261]) ).
cnf(s1291,plain,
( spl102_14
| spl102_18
| spl102_247 ),
inference(rat,[],[s417,s1250]) ).
cnf(s1292,plain,
( spl102_4
| spl102_8
| spl102_276 ),
inference(rat,[],[s413,s1270]) ).
cnf(s1293,plain,
( spl102_3
| spl102_7
| spl102_239 ),
inference(rat,[],[s411,s1255]) ).
cnf(s1294,plain,
( spl102_15
| spl102_27
| spl102_239 ),
inference(rat,[],[s410,s1260]) ).
cnf(s1295,plain,
( spl102_1
| spl102_5
| spl102_231 ),
inference(rat,[],[s407,s1267]) ).
cnf(s1296,plain,
~ spl102_272,
inference(rat,[],[s405,s973]) ).
cnf(s1297,plain,
~ spl102_268,
inference(rat,[],[s401,s1212]) ).
cnf(s1298,plain,
~ spl102_264,
inference(rat,[],[s397,s1215]) ).
cnf(s1299,plain,
spl102_153,
inference(rat,[],[s1185,s369]) ).
cnf(s1300,plain,
~ spl102_160,
inference(rat,[],[s920,s369]) ).
cnf(s1301,plain,
~ spl102_158,
inference(rat,[],[s766,s369]) ).
cnf(s1302,plain,
~ spl102_157,
inference(rat,[],[s744,s369]) ).
cnf(s1303,plain,
spl102_359,
inference(rat,[],[s566,s369]) ).
cnf(s1304,plain,
spl102_360,
inference(rat,[],[s1226,s1215,s1299]) ).
cnf(s1305,plain,
~ spl102_156,
inference(rat,[],[s748,s1299]) ).
cnf(s1306,plain,
~ spl102_155,
inference(rat,[],[s747,s1299]) ).
cnf(s1307,plain,
~ spl102_154,
inference(rat,[],[s745,s1299]) ).
cnf(s1308,plain,
~ spl102_206,
inference(rat,[],[s368,s1305]) ).
cnf(s1309,plain,
~ spl102_204,
inference(rat,[],[s355,s1273]) ).
cnf(s1310,plain,
~ spl102_203,
inference(rat,[],[s349,s1306]) ).
cnf(s1311,plain,
~ spl102_195,
inference(rat,[],[s302,s1272]) ).
cnf(s1312,plain,
( ~ spl102_141
| ~ spl102_175 ),
inference(rat,[],[s244,s369,s1299]) ).
cnf(s1313,plain,
~ spl102_174,
inference(rat,[],[s243,s1301]) ).
cnf(s1314,plain,
~ spl102_173,
inference(rat,[],[s238,s1302]) ).
cnf(s1315,plain,
( ~ spl102_140
| ~ spl102_141
| ~ spl102_172 ),
inference(rat,[],[s229,s1299]) ).
cnf(s1316,plain,
( ~ spl102_100
| ~ spl102_146
| ~ spl102_164 ),
inference(rat,[],[s190,s534]) ).
cnf(s1317,plain,
( spl102_192
| spl102_193
| spl102_194
| spl102_196
| spl102_197
| spl102_198
| spl102_199
| spl102_200
| spl102_201
| spl102_202
| spl102_205 ),
inference(rat,[],[s173,s1308,s1309,s1310,s1311,s1300]) ).
cnf(s1318,plain,
( spl102_192
| spl102_193
| spl102_194
| spl102_196
| spl102_197
| spl102_198
| spl102_199
| spl102_200
| spl102_201
| spl102_202
| spl102_205 ),
inference(rat,[],[s172,s1308,s1309,s1310,s1311,s1300]) ).
cnf(s1321,plain,
( spl102_177
| spl102_178
| spl102_179
| spl102_180
| spl102_182
| spl102_183
| spl102_184
| spl102_185
| spl102_187
| spl102_188
| spl102_189
| spl102_190 ),
inference(rat,[],[s167,s270,s260,s250]) ).
cnf(s1323,plain,
( spl102_161
| spl102_162
| spl102_163
| spl102_164
| spl102_165
| spl102_166
| spl102_167
| spl102_168
| spl102_169
| spl102_170
| spl102_171
| spl102_172
| spl102_175 ),
inference(rat,[],[s165,s1313,s1314,s1300]) ).
cnf(s1324,plain,
( spl102_148
| spl102_152 ),
inference(rat,[],[s160,s1300,s1305]) ).
cnf(s1325,plain,
( spl102_128
| spl102_144 ),
inference(rat,[],[s159,s1300,s1273]) ).
cnf(s1326,plain,
( spl102_146
| spl102_150 ),
inference(rat,[],[s156,s1301,s1307]) ).
cnf(s1327,plain,
( spl102_125
| spl102_141 ),
inference(rat,[],[s153,s1302,s1272]) ).
cnf(s1328,plain,
( spl102_108
| spl102_124
| spl102_140 ),
inference(rat,[],[s151,s1305]) ).
cnf(s1329,plain,
( spl102_107
| spl102_123
| spl102_139 ),
inference(rat,[],[s149,s1306]) ).
cnf(s1330,plain,
( spl102_106
| spl102_122
| spl102_138 ),
inference(rat,[],[s147,s1307]) ).
cnf(s1331,plain,
( spl102_100
| spl102_104
| spl102_108 ),
inference(rat,[],[s136,s1273]) ).
cnf(s1332,plain,
( spl102_99
| spl102_103
| spl102_107 ),
inference(rat,[],[s134,s1274]) ).
cnf(s1333,plain,
( spl102_97
| spl102_101
| spl102_105 ),
inference(rat,[],[s130,s1272]) ).
cnf(s1334,plain,
~ spl102_78,
inference(rat,[],[s112,s1265]) ).
cnf(s1335,plain,
~ spl102_76,
inference(rat,[],[s101,s1270]) ).
cnf(s1336,plain,
~ spl102_75,
inference(rat,[],[s96,s1266]) ).
cnf(s1337,plain,
~ spl102_71,
inference(rat,[],[s79,s1250]) ).
cnf(s1338,plain,
~ spl102_67,
inference(rat,[],[s61,s1267]) ).
cnf(s1340,plain,
( spl102_50
| spl102_51
| spl102_52
| spl102_53
| spl102_55
| spl102_56
| spl102_57
| spl102_58
| spl102_60
| spl102_61
| spl102_62
| spl102_63 ),
inference(rat,[],[s13,s35,s26,s17]) ).
cnf(s1343,plain,
( spl102_18
| spl102_15
| spl102_14
| ~ spl102_7 ),
inference(rat,[],[s571,s1290,s1287,s1100,s623,s1291,s1289,s1007,s659]) ).
cnf(s1344,plain,
( spl102_15
| spl102_14
| spl102_13
| ~ spl102_7
| spl102_64
| spl102_239
| spl102_235
| spl102_66
| spl102_68
| spl102_65 ),
inference(rat,[],[s415,s998,s1045,s106,s578,s1280,s1290,s81,s86,s91,s983,s1343,s69,s72,s1283,s648,s408,s600,s1294,s1338,s1337,s1336,s1335,s1334]) ).
cnf(s1345,plain,
( ~ spl102_27
| spl102_16
| spl102_14
| ~ spl102_231 ),
inference(rat,[],[s648,s408,s412,s600,s1000,s1105,s1013]) ).
cnf(s1346,plain,
( spl102_18
| spl102_21
| spl102_14
| spl102_13
| ~ spl102_7 ),
inference(rat,[],[s622,s415,s1287,s1033,s623,s1291,s1289,s1007,s659]) ).
cnf(s1347,plain,
( spl102_21
| ~ spl102_44
| spl102_14
| spl102_13
| ~ spl102_7
| spl102_3
| spl102_2 ),
inference(rat,[],[s1069,s418,s416,s578,s1033,s415,s998,s1015,s1346,s1245,s1086,s1250]) ).
cnf(s1348,plain,
~ spl102_74,
inference(rat,[],[s527,s529]) ).
cnf(s1349,plain,
( ~ spl102_77
| spl102_13
| spl102_14
| ~ spl102_7
| spl102_3
| spl102_2 ),
inference(rat,[],[s1045,s1347,s106,s107]) ).
cnf(s1350,plain,
( spl102_21
| spl102_77
| spl102_27
| spl102_13
| spl102_14
| ~ spl102_7
| spl102_64
| spl102_66
| spl102_68
| spl102_65 ),
inference(rat,[],[s71,s1280,s427,s522,s996,s1033,s1287,s415,s86,s599,s998,s572,s1346,s1286,s659,s84,s1338,s1337,s1348,s1336,s1335,s1334]) ).
cnf(s1351,plain,
( spl102_13
| spl102_14
| spl102_66
| ~ spl102_231
| spl102_3
| spl102_2
| spl102_65 ),
inference(rat,[],[s1280,s520,s88,s74,s1291,s571,s599,s1287,s1163,s1284,s1045,s1350,s1349,s84,s1345,s666,s1344,s65,s1105,s513,s659,s1293,s625,s1338,s1337,s1348,s1336,s1335,s1334]) ).
cnf(s1352,plain,
( spl102_14
| spl102_66
| ~ spl102_231
| spl102_3
| spl102_2
| spl102_65 ),
inference(rat,[],[s1294,s1345,s581,s977,s1351,s625]) ).
cnf(s1353,plain,
( ~ spl102_20
| spl102_21
| ~ spl102_14 ),
inference(rat,[],[s577,s1290,s415,s571,s622,s1008,s579]) ).
cnf(s1354,plain,
( spl102_21
| ~ spl102_14
| spl102_8
| spl102_6 ),
inference(rat,[],[s577,s1290,s415,s983,s998,s1289,s623,s1287,s1353,s1008,s579]) ).
cnf(s1355,plain,
( spl102_5
| spl102_3
| spl102_2
| spl102_1 ),
inference(rat,[],[s1340,s20,s34,s27,s1114,s593,s1112,s592,s43,s1287,s36,s425,s1073,s1117,s1163,s1182,s616,s669,s30,s41,s1284,s414,s1034,s1045,s1244,s1354,s618,s23,s1285,s38,s1269,s648,s1083,s31,s412,s1090,s600,s1000,s24,s1294,s624,s638,s1008,s1352,s659,s1007,s1293,s625,s1013,s56,s1295,s51,s18,s1257,s1,s1265,s971,s1267]) ).
cnf(s1356,plain,
( ~ spl102_20
| spl102_21
| spl102_13
| spl102_14 ),
inference(rat,[],[s1033,s1291,s415,s599,s622]) ).
cnf(s1357,plain,
( ~ spl102_278
| ~ spl102_5 ),
inference(rat,[],[s983,s1289,s1288,s623,s996,s642,s569]) ).
cnf(s1358,plain,
~ spl102_5,
inference(rat,[],[s591,s1288,s1289,s571,s599,s1287,s1357,s569,s642,s656]) ).
cnf(s1359,plain,
~ spl102_66,
inference(rat,[],[s56,s1358]) ).
cnf(s1360,plain,
( spl102_18
| spl102_21
| spl102_13
| spl102_14
| ~ spl102_8 ),
inference(rat,[],[s982,s415,s1288,s1033,s592,s1291,s1289,s992,s659]) ).
cnf(s1361,plain,
( spl102_21
| spl102_13
| spl102_14
| ~ spl102_3
| ~ spl102_231 ),
inference(rat,[],[s1282,s463,s487,s482,s1290,s472,s467,s477,s488,s592,s999,s578,s1033,s1075,s1288,s415,s983,s998,s1360,s1275,s1286,s444,s450,s1105,s460,s455,s625,s659,s494,s1175,s1292,s607,s1013]) ).
cnf(s1362,plain,
( spl102_18
| ~ spl102_21
| spl102_14
| spl102_2
| spl102_1 ),
inference(rat,[],[s1047,s420,s414,s988,s1058,s89,s1280,s520,s1031,s74,s1291,s51,s513,s65,s83,s659,s1292,s607,s1355,s1013,s1295,s1244,s106,s1045,s1338,s1337,s1359,s1348,s1336,s1335,s1334,s1358]) ).
cnf(s1363,plain,
( ~ spl102_70
| spl102_243
| spl102_1 ),
inference(rat,[],[s1285,s618,s648,s414,s1283,s616,s72,s73]) ).
cnf(s1364,plain,
~ spl102_69,
inference(rat,[],[s520,s522]) ).
cnf(s1365,plain,
( ~ spl102_21
| spl102_14
| spl102_2
| spl102_1 ),
inference(rat,[],[s1280,s86,s106,s1363,s1362,s1045,s1244,s51,s513,s65,s83,s659,s1292,s607,s1355,s1013,s1295,s1338,s1337,s1359,s1364,s1348,s1336,s1335,s1334,s1358]) ).
cnf(s1366,plain,
( spl102_14
| spl102_2
| spl102_1 ),
inference(rat,[],[s1294,s1345,s581,s977,s1361,s1365,s625,s1295,s1355,s1358]) ).
cnf(s1367,plain,
( ~ spl102_32
| spl102_2
| spl102_1 ),
inference(rat,[],[s1280,s73,s89,s584,s988,s51,s513,s65,s83,s659,s1292,s607,s1355,s107,s1086,s1285,s648,s412,s1000,s1294,s1008,s625,s638,s1366,s1013,s1295,s1338,s1337,s1359,s1364,s1348,s1336,s1335,s1334,s1358]) ).
cnf(s1368,plain,
( spl102_2
| spl102_1 ),
inference(rat,[],[s89,s1058,s1280,s414,s1363,s1075,s420,s1367,s107,s618,s1086,s1285,s648,s412,s1000,s1294,s638,s1008,s1366,s83,s659,s1292,s607,s1355,s65,s51,s1013,s625,s513,s1295,s1338,s1337,s1359,s1364,s1348,s1336,s1335,s1334,s1358]) ).
cnf(s1369,plain,
spl102_1,
inference(rat,[],[s659,s1293,s1292,s574,s597,s1368,s625,s1013,s1295,s1358]) ).
cnf(s1370,plain,
~ spl102_243,
inference(rat,[],[s1241,s1369]) ).
cnf(s1371,plain,
~ spl102_231,
inference(rat,[],[s1146,s1369]) ).
cnf(s1372,plain,
~ spl102_4,
inference(rat,[],[s1124,s1369]) ).
cnf(s1373,plain,
~ spl102_3,
inference(rat,[],[s1032,s1369]) ).
cnf(s1374,plain,
~ spl102_2,
inference(rat,[],[s989,s1369]) ).
cnf(s1375,plain,
~ spl102_70,
inference(rat,[],[s70,s1369]) ).
cnf(s1376,plain,
~ spl102_68,
inference(rat,[],[s62,s1369]) ).
cnf(s1377,plain,
~ spl102_284,
inference(rat,[],[s465,s1370]) ).
cnf(s1378,plain,
~ spl102_64,
inference(rat,[],[s515,s1371]) ).
cnf(s1379,plain,
~ spl102_280,
inference(rat,[],[s445,s1371]) ).
cnf(s1380,plain,
( spl102_21
| spl102_13
| spl102_14 ),
inference(rat,[],[s995,s1287,s1288,s1360,s1346,s982,s998,s415,s1356,s1370]) ).
cnf(s1381,plain,
( spl102_8
| spl102_13
| spl102_14 ),
inference(rat,[],[s1059,s406,s408,s588,s600,s84,s1280,s88,s571,s1005,s1287,s1292,s50,s106,s1163,s1284,s1045,s1380,s1371,s1338,s1376,s1378,s1337,s1359,s1364,s1348,s1336,s1335,s1375,s1334,s1372]) ).
cnf(s1382,plain,
( ~ spl102_125
| spl102_119
| spl102_118
| spl102_115
| spl102_114 ),
inference(rat,[],[s704,s140,s142,s855,s1192]) ).
cnf(s1384,plain,
( ~ spl102_122
| ~ spl102_105 ),
inference(rat,[],[s925,s1329,s1328,s704,s787,s679,s676]) ).
cnf(s1385,plain,
~ spl102_105,
inference(rat,[],[s700,s1329,s1328,s735,s806,s1330,s1384,s676,s679,s805]) ).
cnf(s1386,plain,
~ spl102_194,
inference(rat,[],[s296,s1385]) ).
cnf(s1387,plain,
( spl102_97
| spl102_193
| ~ spl102_125
| ~ spl102_122
| spl102_197
| spl102_196 ),
inference(rat,[],[s315,s1317,s1333,s284,s340,s334,s328,s326,s855,s361,s712,s1386,s1385]) ).
cnf(s1388,plain,
( spl102_193
| ~ spl102_125
| ~ spl102_122
| spl102_197
| spl102_114 ),
inference(rat,[],[s858,s146,s150,s688,s907,s131,s941,s1324,s1205,s317,s318,s319,s1317,s279,s905,s1387,s308,s340,s334,s328,s326,s855,s361,s1202,s733,s1325,s712,s1386]) ).
cnf(s1389,plain,
( ~ spl102_125
| ~ spl102_122
| spl102_118
| spl102_114 ),
inference(rat,[],[s899,s1382,s144,s784,s808,s289,s1388,s712,s314,s787]) ).
cnf(s1390,plain,
( spl102_97
| spl102_119
| spl102_193
| spl102_199
| spl102_200
| spl102_201
| spl102_202
| spl102_118
| spl102_196 ),
inference(rat,[],[s720,s139,s141,s678,s756,s362,s1317,s315,s675,s708,s1333,s284,s314,s1386,s1385]) ).
cnf(s1391,plain,
( ~ spl102_102
| spl102_99
| spl102_100
| ~ spl102_115
| spl102_114 ),
inference(rat,[],[s701,s1332,s1331,s796,s762,s767]) ).
cnf(s1392,plain,
( ~ spl102_152
| spl102_102
| spl102_163
| spl102_162
| spl102_161
| spl102_100
| ~ spl102_115
| ~ spl102_117
| ~ spl102_141
| spl102_118 ),
inference(rat,[],[s1323,s223,s218,s233,s196,s226,s735,s859,s925,s141,s150,s721,s139,s948,s135,s941,s1326,s678,s756,s203,s854,s1312,s213,s786,s208,s753,s755,s193]) ).
cnf(s1393,plain,
( spl102_113
| ~ spl102_122
| spl102_118
| spl102_114 ),
inference(rat,[],[s925,s152,s150,s862,s907,s791,s131,s317,s319,s941,s1317,s1324,s362,s1392,s1391,s188,s183,s174,s279,s763,s821,s905,s1390,s142,s753,s138,s289,s308,s314,s711,s704,s340,s334,s328,s854,s706,s326,s782,s1325,s733,s1327,s1389,s1386]) ).
cnf(s1394,plain,
( ~ spl102_146
| ~ spl102_97
| ~ spl102_113 ),
inference(rat,[],[s133,s948,s724,s135,s773,s941,s808,s784,s821,s763,s534]) ).
cnf(s1395,plain,
( ~ spl102_97
| spl102_193
| spl102_117
| ~ spl102_113
| spl102_199
| spl102_200
| spl102_201
| spl102_202
| spl102_197
| spl102_196 ),
inference(rat,[],[s137,s1205,s315,s319,s1317,s362,s678,s909,s1326,s1394,s279,s1386]) ).
cnf(s1396,plain,
( spl102_99
| spl102_167
| ~ spl102_146
| spl102_103
| spl102_104
| spl102_161
| spl102_165
| spl102_168
| ~ spl102_141
| spl102_124
| spl102_166 ),
inference(rat,[],[s1323,s183,s223,s218,s228,s1316,s716,s1315,s806,s839,s925,s1331,s1328,s702,s1332,s188,s1312]) ).
cnf(s1397,plain,
( spl102_193
| ~ spl102_113
| ~ spl102_141
| ~ spl102_122
| spl102_118
| spl102_196 ),
inference(rat,[],[s1323,s223,s218,s233,s226,s735,s859,s925,s1329,s187,s702,s135,s1331,s193,s183,s709,s803,s1396,s205,s941,s139,s1326,s678,s362,s1317,s315,s675,s708,s828,s1333,s178,s284,s1395,s314,s203,s787,s340,s334,s328,s1312,s326,s782,s808,s213,s899,s198,s753,s142,s784,s704,s706,s1325,s733,s1386,s1385]) ).
cnf(s1398,plain,
( ~ spl102_122
| spl102_118
| spl102_114 ),
inference(rat,[],[s1323,s187,s193,s183,s223,s218,s152,s1328,s233,s709,s803,s226,s735,s859,s925,s1396,s150,s205,s721,s791,s139,s1326,s678,s178,s1324,s675,s708,s828,s285,s287,s288,s290,s1397,s198,s213,s753,s899,s142,s784,s1393,s706,s1325,s1312,s733,s854,s1327,s1389,s704,s787,s308,s203]) ).
cnf(s1399,plain,
~ spl102_126,
inference(rat,[],[s732,s1325,s1327,s782,s855]) ).
cnf(s1400,plain,
~ spl102_199,
inference(rat,[],[s326,s1399]) ).
cnf(s1401,plain,
( spl102_118
| spl102_114 ),
inference(rat,[],[s140,s1398,s1399]) ).
cnf(s1402,plain,
( ~ spl102_113
| ~ spl102_122
| ~ spl102_118 ),
inference(rat,[],[s706,s142,s144,s784,s808,s785,s693,s787,s704]) ).
cnf(s1403,plain,
( ~ spl102_122
| spl102_114 ),
inference(rat,[],[s1388,s138,s289,s1402,s711,s723,s310,s1401]) ).
cnf(s1405,plain,
( ~ spl102_152
| spl102_97
| ~ spl102_123
| ~ spl102_141
| spl102_116
| spl102_114 ),
inference(rat,[],[s1323,s218,s228,s233,s221,s731,s735,s806,s1330,s187,s746,s135,s1331,s193,s183,s709,s803,s1396,s941,s1326,s141,s678,s756,s200,s213,s785,s198,s723,s208,s693,s1401,s1403,s1312,s700,s178,s828,s708,s1333,s1385]) ).
cnf(s1406,plain,
( ~ spl102_107
| spl102_124
| spl102_122 ),
inference(rat,[],[s806,s1328,s1330,s702,s823]) ).
cnf(s1407,plain,
~ spl102_202,
inference(rat,[],[s341,s344]) ).
cnf(s1408,plain,
( ~ spl102_141
| spl102_97
| ~ spl102_113
| spl102_114 ),
inference(rat,[],[s338,s1318,s934,s288,s331,s143,s1324,s362,s1406,s1405,s700,s142,s706,s1325,s733,s308,s785,s693,s316,s310,s1401,s1403,s808,s784,s284,s828,s1333,s1386,s1400,s1407,s1385]) ).
cnf(s1409,plain,
( ~ spl102_125
| ~ spl102_113
| ~ spl102_118 ),
inference(rat,[],[s700,s144,s142,s712,s1192,s785,s693,s808,s784]) ).
cnf(s1410,plain,
( ~ spl102_113
| spl102_114 ),
inference(rat,[],[s143,s934,s800,s338,s1332,s1318,s1406,s362,s332,s700,s678,s907,s142,s1326,s131,s706,s1394,s279,s285,s763,s905,s1325,s1408,s733,s1327,s1409,s784,s308,s785,s693,s316,s310,s1401,s1403,s1386,s1400,s1407]) ).
cnf(s1411,plain,
( spl102_125
| spl102_115
| spl102_114 ),
inference(rat,[],[s706,s142,s1325,s726,s733,s138,s1327,s723,s693,s1401,s1410]) ).
cnf(s1412,plain,
( spl102_115
| spl102_97
| ~ spl102_354
| spl102_114
| ~ spl102_44
| ~ spl102_16
| ~ spl102_259
| ~ spl102_19
| ~ spl102_31
| ~ spl102_8
| ~ spl102_21 ),
inference(rat,[],[s565,s1223,s1228,s146,s1326,s731,s1225,s678,s1227,s1330,s143,s746,s1219,s934,s1224,s1246,s1331,s338,s709,s1218,s1318,s1332,s331,s1406,s733,s1229,s700,s1222,s1325,s361,s142,s712,s1192,s1230,s1411,s1220,s117,s1293,s659,s423,s586,s1058,s978,s1284,s1045,s1285,s1086,s308,s785,s693,s316,s310,s1401,s1403,s289,s1410,s284,s1217,s828,s708,s1333,s1296,s1297,s1298,s1303,s1304,s1271,s1215,s973,s1212,s1386,s1400,s1407,s1385,s1369,s1373]) ).
cnf(s1413,plain,
( ~ spl102_121
| ~ spl102_101
| spl102_122 ),
inference(rat,[],[s746,s1330,s1331,s735,s709,s1329,s1332,s1406,s714,s726,s828,s708]) ).
cnf(s1414,plain,
( spl102_97
| ~ spl102_354
| spl102_114
| ~ spl102_44
| ~ spl102_16
| ~ spl102_259
| ~ spl102_19
| ~ spl102_31
| ~ spl102_8
| ~ spl102_21 ),
inference(rat,[],[s131,s716,s743,s1331,s129,s702,s694,s907,s331,s332,s1318,s337,s700,s144,s361,s712,s138,s1413,s755,s1412,s828,s1333,s284,s308,s785,s723,s316,s310,s1401,s1403,s289,s1410,s1386,s1400,s1407,s1385]) ).
cnf(s1415,plain,
( ~ spl102_121
| spl102_99
| spl102_100
| spl102_122 ),
inference(rat,[],[s746,s1330,s1331,s735,s800,s1329,s1332,s1406,s714,s726]) ).
cnf(s1416,plain,
( spl102_123
| spl102_205
| spl102_127
| spl102_192
| spl102_100
| spl102_98
| spl102_114 ),
inference(rat,[],[s941,s131,s135,s907,s948,s332,s755,s1318,s142,s337,s308,s693,s316,s310,s1401,s289,s1410,s1386,s1400,s1407]) ).
cnf(s1417,plain,
( spl102_114
| ~ spl102_259
| ~ spl102_247
| ~ spl102_19
| ~ spl102_31
| ~ spl102_8
| ~ spl102_21 ),
inference(rat,[],[s736,s143,s137,s934,s1246,s338,s708,s800,s1318,s1332,s331,s1406,s700,s1416,s361,s712,s1192,s138,s1415,s279,s763,s821,s905,s1414,s289,s1410,s1403,s310,s316,s723,s785,s1221,s1401,s308,s421,s571,s1045,s420,s1031,s988,s1386,s1400,s1407,s1212,s1372]) ).
cnf(s1418,plain,
( spl102_125
| ~ spl102_122
| ~ spl102_114 ),
inference(rat,[],[s706,s142,s1325,s753,s733,s138,s1327,s699,s687,s711,s704]) ).
cnf(s1419,plain,
( ~ spl102_122
| ~ spl102_114 ),
inference(rat,[],[s899,s144,s142,s712,s1192,s1418,s704,s787,s901,s699]) ).
cnf(s1420,plain,
( ~ spl102_121
| spl102_122 ),
inference(rat,[],[s1415,s763,s821,s1333,s1413,s1385]) ).
cnf(s1421,plain,
( spl102_97
| spl102_200
| spl102_118
| spl102_119
| spl102_120
| spl102_193 ),
inference(rat,[],[s678,s139,s143,s721,s934,s338,s1390,s303,s675,s828,s1333,s1400,s1407,s1385]) ).
cnf(s1422,plain,
( spl102_150
| spl102_139
| spl102_102
| spl102_100
| spl102_118
| spl102_143
| spl102_116 ),
inference(rat,[],[s947,s150,s135,s721,s941,s139,s1326]) ).
cnf(s1423,plain,
( spl102_125
| ~ spl102_114 ),
inference(rat,[],[s338,s934,s1318,s143,s362,s678,s1422,s735,s1330,s307,s746,s927,s1331,s681,s800,s1332,s763,s821,s1421,s331,s1406,s700,s314,s142,s723,s753,s786,s138,s706,s1325,s733,s854,s1327,s901,s699,s687,s286,s280,s320,s1420,s1419,s1386,s1400,s1407]) ).
cnf(s1424,plain,
~ spl102_145,
inference(rat,[],[s678,s1326,s1324,s743,s917]) ).
cnf(s1425,plain,
( spl102_97
| ~ spl102_114 ),
inference(rat,[],[s1321,s264,s256,s274,s266,s253,s275,s961,s946,s926,s1203,s936,s909,s135,s1331,s139,s709,s785,s1332,s261,s144,s1406,s267,s935,s700,s721,s781,s335,s337,s338,s1318,s332,s252,s258,s694,s695,s303,s309,s675,s690,s708,s828,s129,s1333,s901,s687,s286,s280,s320,s1419,s361,s278,s272,s958,s1325,s712,s1423,s534,s1386,s1400,s1407,s1424,s1385,s1305]) ).
cnf(s1426,plain,
( ~ spl102_102
| ~ spl102_114 ),
inference(rat,[],[s701,s1332,s1331,s681,s762,s927,s699,s821,s763,s1425]) ).
cnf(s1427,plain,
( spl102_123
| spl102_118
| ~ spl102_114 ),
inference(rat,[],[s268,s715,s1321,s1190,s264,s252,s258,s256,s274,s275,s137,s961,s683,s828,s946,s936,s909,s253,s1331,s265,s135,s1422,s879,s702,s834,s948,s261,s329,s331,s332,s783,s753,s1318,s119,s142,s337,s901,s699,s286,s280,s320,s1420,s1419,s1192,s361,s1202,s278,s272,s958,s1325,s712,s1423,s821,s1425,s307,s1426,s314,s534,s1385,s1386,s1400,s1407,s1305]) ).
cnf(s1428,plain,
( spl102_118
| ~ spl102_114 ),
inference(rat,[],[s908,s137,s1422,s1246,s335,s338,s708,s1318,s786,s1332,s331,s144,s1406,s700,s1427,s314,s901,s286,s280,s320,s1419,s361,s1202,s1325,s712,s1423,s821,s763,s1425,s307,s1426,s1386,s1400,s1407]) ).
cnf(s1429,plain,
~ spl102_114,
inference(rat,[],[s700,s142,s144,s693,s785,s1428,s712,s1192,s1423,s699,s901]) ).
cnf(s1456,plain,
( ~ spl102_19
| ~ spl102_8
| ~ spl102_21
| spl102_14 ),
inference(rat,[],[s48,s1280,s427,s89,s1417,s592,s1289,s1291,s983,s106,s992,s83,s659,s1174,s1077,s1284,s1045,s1338,s1376,s1378,s1337,s1359,s1364,s1348,s1336,s1335,s1375,s1334,s1429]) ).
cnf(s1457,plain,
( ~ spl102_8
| ~ spl102_21
| spl102_14 ),
inference(rat,[],[s602,s1290,s421,s599,s581,s977,s1289,s50,s592,s1280,s1288,s88,s1456,s83,s659,s992,s106,s1045,s1338,s1376,s1378,s1337,s1359,s1364,s1348,s1336,s1335,s1375,s1334]) ).
cnf(s1458,plain,
( ~ spl102_21
| spl102_14 ),
inference(rat,[],[s1343,s1293,s581,s599,s631,s1381,s1287,s1292,s1457,s1163,s1284,s1045,s1373,s1372]) ).
cnf(s1459,plain,
( ~ spl102_31
| spl102_287
| spl102_286
| spl102_285
| ~ spl102_19
| ~ spl102_8
| ~ spl102_33 ),
inference(rat,[],[s454,s1282,s429,s485,s988,s978,s1275,s494,s1175,s460,s631,s450,s576,s1293,s659,s489,s592,s482,s586,s1289,s983,s992,s1377,s1379,s1373]) ).
cnf(s1460,plain,
( ~ spl102_27
| ~ spl102_239
| spl102_14 ),
inference(rat,[],[s648,s408,s412,s600,s1000,s977,s1380,s1458,s631,s576]) ).
cnf(s1461,plain,
( ~ spl102_19
| ~ spl102_8
| spl102_14 ),
inference(rat,[],[s1459,s427,s477,s472,s592,s466,s1031,s1100,s1289,s1291,s983,s572,s1286,s1458,s992,s1460,s1293,s659,s1373]) ).
cnf(s1472,plain,
( ~ spl102_40
| spl102_73
| spl102_72 ),
inference(rat,[],[s107,s1086,s1280,s1285,s49,s648,s1338,s1376,s1378,s1337,s1359,s1364,s1348,s1336,s1335,s1375,s1334]) ).
cnf(s1473,plain,
( ~ spl102_8
| spl102_14 ),
inference(rat,[],[s469,s1282,s416,s454,s1086,s412,s1283,s1472,s477,s467,s1289,s487,s482,s450,s460,s603,s1100,s488,s592,s999,s576,s631,s1290,s1288,s88,s83,s1293,s494,s1461,s659,s992,s1175,s1275,s1286,s977,s581,s1380,s1458,s1377,s1379,s1374,s1373]) ).
cnf(s1474,plain,
spl102_14,
inference(rat,[],[s469,s1282,s425,s487,s489,s482,s477,s467,s1278,s623,s996,s1095,s603,s1100,s1279,s1287,s1290,s408,s599,s983,s600,s1343,s1294,s1293,s455,s450,s631,s1005,s1292,s1473,s581,s1275,s1039,s1380,s1286,s1458,s1377,s1379,s1373,s1372]) ).
cnf(s1475,plain,
~ spl102_247,
inference(rat,[],[s1132,s1474]) ).
cnf(s1477,plain,
~ spl102_15,
inference(rat,[],[s1008,s1474]) ).
cnf(s1479,plain,
~ spl102_13,
inference(rat,[],[s579,s1474]) ).
cnf(s1480,plain,
~ spl102_65,
inference(rat,[],[s47,s1474]) ).
cnf(s1482,plain,
~ spl102_80,
inference(rat,[],[s1144,s1369,s1479]) ).
cnf(s1483,plain,
~ spl102_53,
inference(rat,[],[s25,s1482]) ).
cnf(s1484,plain,
~ spl102_50,
inference(rat,[],[s19,s1482]) ).
cnf(s1485,plain,
( ~ spl102_19
| ~ spl102_8 ),
inference(rat,[],[s1340,s23,s38,s30,s41,s1269,s1083,s31,s1034,s1283,s1184,s618,s1086,s33,s423,s416,s1052,s1058,s1069,s89,s20,s43,s36,s1280,s1077,s978,s1117,s1182,s27,s106,s1284,s1160,s1045,s586,s592,s415,s1289,s982,s983,s992,s83,s659,s1484,s1483,s1267,s1371,s1374,s1475,s1338,s1376,s1480,s1378,s1337,s1359,s1364,s1348,s1336,s1335,s1375,s1334,s1265,s971,s1479,s1370]) ).
cnf(s1486,plain,
~ spl102_8,
inference(rat,[],[s415,s998,s1045,s1289,s106,s592,s1280,s1288,s88,s1485,s83,s659,s992,s1479,s1370,s1338,s1376,s1480,s1378,s1337,s1359,s1364,s1348,s1336,s1335,s1375,s1334]) ).
cnf(s1487,plain,
spl102_276,
inference(rat,[],[s1292,s1372,s1486]) ).
cnf(s1489,plain,
~ spl102_239,
inference(rat,[],[s631,s1487]) ).
cnf(s1493,plain,
spl102_27,
inference(rat,[],[s1294,s1477,s1489]) ).
cnf(s1498,plain,
~ spl102_25,
inference(rat,[],[s588,s1493]) ).
cnf(s1501,plain,
spl102_37,
inference(rat,[],[s406,s1479,s1371,s1498]) ).
cnf(s1505,plain,
~ spl102_40,
inference(rat,[],[s1079,s1501]) ).
cnf(s1506,plain,
~ spl102_38,
inference(rat,[],[s1059,s1501]) ).
cnf(s1509,plain,
spl102_44,
inference(rat,[],[s1283,s1505]) ).
cnf(s1512,plain,
spl102_42,
inference(rat,[],[s1285,s1506]) ).
cnf(s1522,plain,
$false,
inference(rat,[],[s1085,s1509,s1512]) ).
fof(f7827,plain,
$false,
inference(avatar_sat_refutation,[],[s1522]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG109+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.19 % Computer : n026.cluster.edu
% 0.07/0.19 % Model : x86_64 x86_64
% 0.07/0.19 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.19 % Memory : 8046.5625MB
% 0.07/0.19 % OS : Linux 6.8.0-71-generic
% 0.07/0.19 % CPULimit : 300
% 0.07/0.19 % WCLimit : 300
% 0.07/0.19 % DateTime : Mon Sep 28 19:32:27 UTC 2026
% 0.07/0.19 % CPUTime :
% 0.07/0.19 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.07/0.23 Running first-order theorem proving
% 0.07/0.23 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 3.59/1.18 % (4172928)Detected formulas, will run a generic FOF schedule.
% 3.59/1.18 % (4172937)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1516851806:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.59/1.18 % (4172937)Instruction limit reached!
% 3.59/1.18 % (4172937)------------------------------
% 3.59/1.18 % (4172937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.18 % (4172937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.18 % (4172937)CaDiCaL version: 2.1.3
% 3.59/1.18 % (4172937)Termination reason: Instruction limit
% 3.59/1.18 % (4172937)Termination phase: Saturation
% 3.59/1.18 % (4172937)Time elapsed: 0.033 s
% 3.59/1.18 % (4172937)Peak memory usage: 88 MB
% 3.59/1.18 % (4172937)Instructions burned: 120 (million)
% 3.59/1.18 % (4172936)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=892387542:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.59/1.18 % (4172933)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=1406472515:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.59/1.18 % (4172935)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=3936122465:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.59/1.18 % (4172934)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=2793419686:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.59/1.18 % (4172938)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=600082161:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.59/1.18 % (4172939)dis-21_1_sil=8000:lcm=predicate:random_seed=2317034209:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 3.59/1.18 % (4172939)Refutation not found, incomplete strategy
% 3.59/1.18 % (4172939)------------------------------
% 3.59/1.18 % (4172939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.18 % (4172939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.18 % (4172939)CaDiCaL version: 2.1.3
% 3.59/1.18 % (4172939)Termination reason: Refutation not found, incomplete strategy
% 3.59/1.18 % (4172939)Time elapsed: 0.027 s
% 3.59/1.18 % (4172939)Peak memory usage: 90 MB
% 3.59/1.18 % (4172939)Instructions burned: 53 (million)
% 3.59/1.18 % (4172936)Instruction limit reached!
% 3.59/1.18 % (4172936)------------------------------
% 3.59/1.18 % (4172936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.18 % (4172936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.18 % (4172936)CaDiCaL version: 2.1.3
% 3.59/1.18 % (4172936)Termination reason: Instruction limit
% 3.59/1.18 % (4172936)Termination phase: Saturation
% 3.59/1.18 % (4172936)Time elapsed: 0.050 s
% 3.59/1.18 % (4172936)Peak memory usage: 90 MB
% 3.59/1.18 % (4172936)Instructions burned: 110 (million)
% 3.59/1.18 % (4172938)Instruction limit reached!
% 3.59/1.18 % (4172938)------------------------------
% 3.59/1.18 % (4172938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.18 % (4172938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.18 % (4172938)CaDiCaL version: 2.1.3
% 3.59/1.18 % (4172938)Termination reason: Instruction limit
% 3.59/1.18 % (4172938)Termination phase: Saturation
% 3.59/1.18 % (4172938)Time elapsed: 0.075 s
% 3.59/1.18 % (4172938)Peak memory usage: 90 MB
% 3.59/1.18 % (4172938)Instructions burned: 140 (million)
% 3.59/1.18 % (4172945)lrs+10_1_sil=8000:sp=occurrence:random_seed=3276931480:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 3.59/1.18 % (4172945)First to succeed.
% 3.59/1.18 % (4172948)lrs+10_1_sil=32000:urr=on:br=off:random_seed=474653057:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.59/1.18 % (4172945)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-4172928"
% 3.59/1.18 % (4172949)lrs+1011_1_sil=32000:sp=occurrence:random_seed=3729676797:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.59/1.18 % (4172948)Instruction limit reached!
% 3.59/1.18 % (4172948)------------------------------
% 3.59/1.18 % (4172948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.59/1.18 % (4172948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.59/1.18 % (4172948)CaDiCaL version: 2.1.3
% 3.59/1.18 % (4172948)Termination reason: Instruction limit
% 3.59/1.18 % (4172948)Termination phase: Saturation
% 3.59/1.18 % (4172948)Time elapsed: 0.079 s
% 3.59/1.18 % (4172948)Peak memory usage: 90 MB
% 3.59/1.18 % (4172948)Instructions burned: 157 (million)
% 3.59/1.18 % (4172939)------------------------------
% 3.59/1.18 % (4172939)------------------------------
% 3.59/1.18 % (4172945)Refutation found. Thanks to Tanya!
% 3.59/1.18 % SZS status Theorem for theBenchmark
% 3.59/1.18 % SZS output start Proof for theBenchmark
% See solution above
% 4.06/1.28 % (4172945)------------------------------
% 4.06/1.28 % (4172945)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.06/1.28 % (4172945)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.06/1.28 % (4172945)CaDiCaL version: 2.1.3
% 4.06/1.28 % (4172945)Termination reason: Refutation
% 4.06/1.28 % (4172945)Time elapsed: 0.094 s
% 4.06/1.28 % (4172945)Peak memory usage: 92 MB
% 4.06/1.28 % (4172945)Instructions burned: 342 (million)
% 4.06/1.28 % (4172945)------------------------------
% 4.06/1.28 % (4172945)------------------------------
% 4.06/1.28 % (4172928)Success in time 0.516 s
% 4.06/1.28 % Vampire exiting
%------------------------------------------------------------------------------