%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : ALG125+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:12:09 AM UTC 2026
% Result : Theorem 4.68s 1.34s
% Output : Refutation 5.31s
% Verified :
% SZS Type : Refutation
% Derivation depth : 30
% Number of leaves : 195
% Syntax : Number of formulae : 1360 ( 137 unt; 178 def)
% Number of atoms : 4927 (2296 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 6007 (2440 ~;2798 |; 609 &)
% ( 160 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 180 ( 178 usr; 179 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax4) ).
fof(f5,axiom,
( op1(e10,e10) != op1(e11,e10)
& op1(e10,e10) != op1(e12,e10)
& op1(e10,e10) != op1(e13,e10)
& op1(e11,e10) != op1(e12,e10)
& op1(e11,e10) != op1(e13,e10)
& op1(e12,e10) != op1(e13,e10)
& op1(e10,e11) != op1(e11,e11)
& op1(e10,e11) != op1(e12,e11)
& op1(e10,e11) != op1(e13,e11)
& op1(e11,e11) != op1(e12,e11)
& op1(e11,e11) != op1(e13,e11)
& op1(e12,e11) != op1(e13,e11)
& op1(e10,e12) != op1(e11,e12)
& op1(e10,e12) != op1(e12,e12)
& op1(e10,e12) != op1(e13,e12)
& op1(e11,e12) != op1(e12,e12)
& op1(e11,e12) != op1(e13,e12)
& op1(e12,e12) != op1(e13,e12)
& op1(e10,e13) != op1(e11,e13)
& op1(e10,e13) != op1(e12,e13)
& op1(e10,e13) != op1(e13,e13)
& op1(e11,e13) != op1(e12,e13)
& op1(e11,e13) != op1(e13,e13)
& op1(e12,e13) != op1(e13,e13)
& op1(e10,e10) != op1(e10,e11)
& op1(e10,e10) != op1(e10,e12)
& op1(e10,e10) != op1(e10,e13)
& op1(e10,e11) != op1(e10,e12)
& op1(e10,e11) != op1(e10,e13)
& op1(e10,e12) != op1(e10,e13)
& op1(e11,e10) != op1(e11,e11)
& op1(e11,e10) != op1(e11,e12)
& op1(e11,e10) != op1(e11,e13)
& op1(e11,e11) != op1(e11,e12)
& op1(e11,e11) != op1(e11,e13)
& op1(e11,e12) != op1(e11,e13)
& op1(e12,e10) != op1(e12,e11)
& op1(e12,e10) != op1(e12,e12)
& op1(e12,e10) != op1(e12,e13)
& op1(e12,e11) != op1(e12,e12)
& op1(e12,e11) != op1(e12,e13)
& op1(e12,e12) != op1(e12,e13)
& op1(e13,e10) != op1(e13,e11)
& op1(e13,e10) != op1(e13,e12)
& op1(e13,e10) != op1(e13,e13)
& op1(e13,e11) != op1(e13,e12)
& op1(e13,e11) != op1(e13,e13)
& op1(e13,e12) != op1(e13,e13) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax5) ).
fof(f6,axiom,
( op2(e20,e20) != op2(e21,e20)
& op2(e20,e20) != op2(e22,e20)
& op2(e20,e20) != op2(e23,e20)
& op2(e21,e20) != op2(e22,e20)
& op2(e21,e20) != op2(e23,e20)
& op2(e22,e20) != op2(e23,e20)
& op2(e20,e21) != op2(e21,e21)
& op2(e20,e21) != op2(e22,e21)
& op2(e20,e21) != op2(e23,e21)
& op2(e21,e21) != op2(e22,e21)
& op2(e21,e21) != op2(e23,e21)
& op2(e22,e21) != op2(e23,e21)
& op2(e20,e22) != op2(e21,e22)
& op2(e20,e22) != op2(e22,e22)
& op2(e20,e22) != op2(e23,e22)
& op2(e21,e22) != op2(e22,e22)
& op2(e21,e22) != op2(e23,e22)
& op2(e22,e22) != op2(e23,e22)
& op2(e20,e23) != op2(e21,e23)
& op2(e20,e23) != op2(e22,e23)
& op2(e20,e23) != op2(e23,e23)
& op2(e21,e23) != op2(e22,e23)
& op2(e21,e23) != op2(e23,e23)
& op2(e22,e23) != op2(e23,e23)
& op2(e20,e20) != op2(e20,e21)
& op2(e20,e20) != op2(e20,e22)
& op2(e20,e20) != op2(e20,e23)
& op2(e20,e21) != op2(e20,e22)
& op2(e20,e21) != op2(e20,e23)
& op2(e20,e22) != op2(e20,e23)
& op2(e21,e20) != op2(e21,e21)
& op2(e21,e20) != op2(e21,e22)
& op2(e21,e20) != op2(e21,e23)
& op2(e21,e21) != op2(e21,e22)
& op2(e21,e21) != op2(e21,e23)
& op2(e21,e22) != op2(e21,e23)
& op2(e22,e20) != op2(e22,e21)
& op2(e22,e20) != op2(e22,e22)
& op2(e22,e20) != op2(e22,e23)
& op2(e22,e21) != op2(e22,e22)
& op2(e22,e21) != op2(e22,e23)
& op2(e22,e22) != op2(e22,e23)
& op2(e23,e20) != op2(e23,e21)
& op2(e23,e20) != op2(e23,e22)
& op2(e23,e20) != op2(e23,e23)
& op2(e23,e21) != op2(e23,e22)
& op2(e23,e21) != op2(e23,e23)
& op2(e23,e22) != op2(e23,e23) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) ) )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) != e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) ) )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e10 = op1(op1(e13,e13),op1(e13,e13))
& e11 = op1(e13,e13)
& e12 = op1(e13,op1(op1(e13,e13),op1(e13,e13))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e20 = op2(op2(e23,e23),op2(e23,e23))
& e21 = op2(e23,e23)
& e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e13) = e20
& h1(e10) = op2(op2(e20,e20),op2(e20,e20))
& h1(e11) = op2(e20,e20)
& h1(e12) = op2(e20,op2(op2(e20,e20),op2(e20,e20))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e13) = e21
& h2(e10) = op2(op2(e21,e21),op2(e21,e21))
& h2(e11) = op2(e21,e21)
& h2(e12) = op2(e21,op2(op2(e21,e21),op2(e21,e21))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e13) = e22
& h3(e10) = op2(op2(e22,e22),op2(e22,e22))
& h3(e11) = op2(e22,e22)
& h3(e12) = op2(e22,op2(op2(e22,e22),op2(e22,e22))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e13) = e23
& h4(e10) = op2(op2(e23,e23),op2(e23,e23))
& h4(e11) = op2(e23,e23)
& h4(e12) = op2(e23,op2(op2(e23,e23),op2(e23,e23))) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',ax17) ).
fof(f18,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
file('/export/starexec/sandbox2/benchmark/theBenchmark.p',co1) ).
fof(f19,negated_conjecture,
~ ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( e20 != h1(e10)
& e20 != h1(e11)
& e20 != h1(e12)
& e20 != h1(e13) )
| ( e21 != h1(e10)
& e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13) )
| ( e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e12)
& e22 != h1(e13) )
| ( e23 != h1(e10)
& e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e13) ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( e20 != h2(e10)
& e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e13) )
| ( e21 != h2(e10)
& e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13) )
| ( e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e13) )
| ( e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12)
& e23 != h2(e13) ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( e20 != h3(e10)
& e20 != h3(e11)
& e20 != h3(e12)
& e20 != h3(e13) )
| ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e13) )
| ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13) )
| ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13) ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( e20 != h4(e10)
& e20 != h4(e11)
& e20 != h4(e12)
& e20 != h4(e13) )
| ( e21 != h4(e10)
& e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e13) )
| ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| ( e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13) ) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,definition,
( ( e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13) )
| ~ sP0 ),
introduced(definition,[new_symbols(definition,[sP0])],[predicate_definition_introduction]) ).
fof(f22,definition,
( ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| ~ sP1 ),
introduced(definition,[new_symbols(definition,[sP1])],[predicate_definition_introduction]) ).
fof(f23,definition,
( ( e21 != h4(e10)
& e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e13) )
| ~ sP2 ),
introduced(definition,[new_symbols(definition,[sP2])],[predicate_definition_introduction]) ).
fof(f24,definition,
( ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13) )
| ~ sP3 ),
introduced(definition,[new_symbols(definition,[sP3])],[predicate_definition_introduction]) ).
fof(f25,definition,
( ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13) )
| ~ sP4 ),
introduced(definition,[new_symbols(definition,[sP4])],[predicate_definition_introduction]) ).
fof(f26,definition,
( ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e13) )
| ~ sP5 ),
introduced(definition,[new_symbols(definition,[sP5])],[predicate_definition_introduction]) ).
fof(f27,definition,
( ( e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12)
& e23 != h2(e13) )
| ~ sP6 ),
introduced(definition,[new_symbols(definition,[sP6])],[predicate_definition_introduction]) ).
fof(f28,definition,
( ( e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e13) )
| ~ sP7 ),
introduced(definition,[new_symbols(definition,[sP7])],[predicate_definition_introduction]) ).
fof(f29,definition,
( ( e21 != h2(e10)
& e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13) )
| ~ sP8 ),
introduced(definition,[new_symbols(definition,[sP8])],[predicate_definition_introduction]) ).
fof(f30,definition,
( ( e23 != h1(e10)
& e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e13) )
| ~ sP9 ),
introduced(definition,[new_symbols(definition,[sP9])],[predicate_definition_introduction]) ).
fof(f31,definition,
( ( e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e12)
& e22 != h1(e13) )
| ~ sP10 ),
introduced(definition,[new_symbols(definition,[sP10])],[predicate_definition_introduction]) ).
fof(f32,definition,
( ( e21 != h1(e10)
& e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13) )
| ~ sP11 ),
introduced(definition,[new_symbols(definition,[sP11])],[predicate_definition_introduction]) ).
fof(f33,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( e20 != h1(e10)
& e20 != h1(e11)
& e20 != h1(e12)
& e20 != h1(e13) )
| sP11
| sP10
| sP9 )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( e20 != h2(e10)
& e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e13) )
| sP8
| sP7
| sP6 )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( e20 != h3(e10)
& e20 != h3(e11)
& e20 != h3(e12)
& e20 != h3(e13) )
| sP5
| sP4
| sP3 )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( e20 != h4(e10)
& e20 != h4(e11)
& e20 != h4(e12)
& e20 != h4(e13) )
| sP2
| sP1
| sP0 ) ),
inference(definition_folding,[],[f20,f32,f31,f30,f29,f28,f27,f26,f25,f24,f23,f22,f21]) ).
fof(f34,definition,
( ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) )
| ~ sP12 ),
introduced(definition,[new_symbols(definition,[sP12])],[predicate_definition_introduction]) ).
fof(f35,definition,
( ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ~ sP13 ),
introduced(definition,[new_symbols(definition,[sP13])],[predicate_definition_introduction]) ).
fof(f36,definition,
( ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ~ sP14 ),
introduced(definition,[new_symbols(definition,[sP14])],[predicate_definition_introduction]) ).
fof(f37,plain,
( ( ( op1(e10,op1(e10,e10)) != op1(e10,e10)
& op1(e11,op1(e10,e11)) != op1(e10,e11)
& op1(e12,op1(e10,e12)) != op1(e10,e12)
& op1(e13,op1(e10,e13)) != op1(e10,e13) )
| sP14
| sP13
| sP12 )
& ( op1(e10,e10) = e10
| op1(e11,e11) = e11
| op1(e12,e12) = e12
| op1(e13,e13) = e13 )
& ( op1(e10,e10) != e10
| op1(e10,e10) = e10 )
& ( op1(e10,e10) != e11
| op1(e10,e11) = e10 )
& ( op1(e10,e10) != e12
| op1(e10,e12) = e10 )
& ( op1(e10,e10) != e13
| op1(e10,e13) = e10 )
& ( op1(e11,e11) != e10
| op1(e11,e10) = e11 )
& ( op1(e11,e11) != e11
| op1(e11,e11) = e11 )
& ( op1(e11,e11) != e12
| op1(e11,e12) = e11 )
& ( op1(e11,e11) != e13
| op1(e11,e13) = e11 )
& ( op1(e12,e12) != e10
| op1(e12,e10) = e12 )
& ( op1(e12,e12) != e11
| op1(e12,e11) = e12 )
& ( op1(e12,e12) != e12
| op1(e12,e12) = e12 )
& ( op1(e12,e12) != e13
| op1(e12,e13) = e12 )
& ( op1(e13,e13) != e10
| op1(e13,e10) = e13 )
& ( op1(e13,e13) != e11
| op1(e13,e11) = e13 )
& ( op1(e13,e13) != e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) != e13
| op1(e13,e13) = e13 ) ),
inference(definition_folding,[],[f10,f36,f35,f34]) ).
fof(f38,definition,
( ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) )
| ~ sP15 ),
introduced(definition,[new_symbols(definition,[sP15])],[predicate_definition_introduction]) ).
fof(f39,definition,
( ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ~ sP16 ),
introduced(definition,[new_symbols(definition,[sP16])],[predicate_definition_introduction]) ).
fof(f40,definition,
( ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ~ sP17 ),
introduced(definition,[new_symbols(definition,[sP17])],[predicate_definition_introduction]) ).
fof(f41,plain,
( ( ( op2(e20,op2(e20,e20)) != op2(e20,e20)
& op2(e21,op2(e20,e21)) != op2(e20,e21)
& op2(e22,op2(e20,e22)) != op2(e20,e22)
& op2(e23,op2(e20,e23)) != op2(e20,e23) )
| sP17
| sP16
| sP15 )
& ( op2(e20,e20) = e20
| op2(e21,e21) = e21
| op2(e22,e22) = e22
| op2(e23,e23) = e23 )
& ( op2(e20,e20) != e20
| op2(e20,e20) = e20 )
& ( op2(e20,e20) != e21
| op2(e20,e21) = e20 )
& ( op2(e20,e20) != e22
| op2(e20,e22) = e20 )
& ( op2(e20,e20) != e23
| op2(e20,e23) = e20 )
& ( op2(e21,e21) != e20
| op2(e21,e20) = e21 )
& ( op2(e21,e21) != e21
| op2(e21,e21) = e21 )
& ( op2(e21,e21) != e22
| op2(e21,e22) = e21 )
& ( op2(e21,e21) != e23
| op2(e21,e23) = e21 )
& ( op2(e22,e22) != e20
| op2(e22,e20) = e22 )
& ( op2(e22,e22) != e21
| op2(e22,e21) = e22 )
& ( op2(e22,e22) != e22
| op2(e22,e22) = e22 )
& ( op2(e22,e22) != e23
| op2(e22,e23) = e22 )
& ( op2(e23,e23) != e20
| op2(e23,e20) = e23 )
& ( op2(e23,e23) != e21
| op2(e23,e21) = e23 )
& ( op2(e23,e23) != e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) != e23
| op2(e23,e23) = e23 ) ),
inference(definition_folding,[],[f11,f40,f39,f38]) ).
fof(f51,plain,
( ( e21 != h4(e10)
& e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e13) )
| ~ sP2 ),
inference(nnf_transformation,[],[f23]) ).
fof(f52,plain,
( ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| ~ sP1 ),
inference(nnf_transformation,[],[f22]) ).
fof(f53,plain,
( ( e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13) )
| ~ sP0 ),
inference(nnf_transformation,[],[f21]) ).
fof(f54,plain,
( ( op1(e10,op1(e11,e10)) != op1(e11,e10)
& op1(e11,op1(e11,e11)) != op1(e11,e11)
& op1(e12,op1(e11,e12)) != op1(e11,e12)
& op1(e13,op1(e11,e13)) != op1(e11,e13) )
| ~ sP14 ),
inference(nnf_transformation,[],[f36]) ).
fof(f55,plain,
( ( op1(e10,op1(e12,e10)) != op1(e12,e10)
& op1(e11,op1(e12,e11)) != op1(e12,e11)
& op1(e12,op1(e12,e12)) != op1(e12,e12)
& op1(e13,op1(e12,e13)) != op1(e12,e13) )
| ~ sP13 ),
inference(nnf_transformation,[],[f35]) ).
fof(f56,plain,
( ( op1(e10,op1(e13,e10)) != op1(e13,e10)
& op1(e11,op1(e13,e11)) != op1(e13,e11)
& op1(e12,op1(e13,e12)) != op1(e13,e12)
& op1(e13,op1(e13,e13)) != op1(e13,e13) )
| ~ sP12 ),
inference(nnf_transformation,[],[f34]) ).
fof(f57,plain,
( ( op2(e20,op2(e21,e20)) != op2(e21,e20)
& op2(e21,op2(e21,e21)) != op2(e21,e21)
& op2(e22,op2(e21,e22)) != op2(e21,e22)
& op2(e23,op2(e21,e23)) != op2(e21,e23) )
| ~ sP17 ),
inference(nnf_transformation,[],[f40]) ).
fof(f58,plain,
( ( op2(e20,op2(e22,e20)) != op2(e22,e20)
& op2(e21,op2(e22,e21)) != op2(e22,e21)
& op2(e22,op2(e22,e22)) != op2(e22,e22)
& op2(e23,op2(e22,e23)) != op2(e22,e23) )
| ~ sP16 ),
inference(nnf_transformation,[],[f39]) ).
fof(f59,plain,
( ( op2(e20,op2(e23,e20)) != op2(e23,e20)
& op2(e21,op2(e23,e21)) != op2(e23,e21)
& op2(e22,op2(e23,e22)) != op2(e23,e22)
& op2(e23,op2(e23,e23)) != op2(e23,e23) )
| ~ sP15 ),
inference(nnf_transformation,[],[f38]) ).
fof(f98,plain,
( e21 != h4(e11)
| ~ sP2 ),
inference(cnf_transformation,[],[f51]) ).
fof(f101,plain,
( e22 != h4(e12)
| ~ sP1 ),
inference(cnf_transformation,[],[f52]) ).
fof(f104,plain,
( e23 != h4(e13)
| ~ sP0 ),
inference(cnf_transformation,[],[f53]) ).
fof(f111,plain,
( 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)
| sP2
| sP1
| sP0 ),
inference(cnf_transformation,[],[f33]) ).
fof(f124,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f125,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f126,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f127,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f128,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f129,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f131,plain,
e11 = op1(e13,e13),
inference(cnf_transformation,[],[f12]) ).
fof(f132,plain,
e10 = op1(op1(e13,e13),op1(e13,e13)),
inference(cnf_transformation,[],[f12]) ).
fof(f134,plain,
( op1(e11,e12) != op1(e12,op1(e11,e12))
| ~ sP14 ),
inference(cnf_transformation,[],[f54]) ).
fof(f136,plain,
( op1(e11,e10) != op1(e10,op1(e11,e10))
| ~ sP14 ),
inference(cnf_transformation,[],[f54]) ).
fof(f138,plain,
( op1(e12,e12) != op1(e12,op1(e12,e12))
| ~ sP13 ),
inference(cnf_transformation,[],[f55]) ).
fof(f139,plain,
( op1(e12,e11) != op1(e11,op1(e12,e11))
| ~ sP13 ),
inference(cnf_transformation,[],[f55]) ).
fof(f140,plain,
( op1(e12,e10) != op1(e10,op1(e12,e10))
| ~ sP13 ),
inference(cnf_transformation,[],[f55]) ).
fof(f142,plain,
( op1(e13,e12) != op1(e12,op1(e13,e12))
| ~ sP12 ),
inference(cnf_transformation,[],[f56]) ).
fof(f143,plain,
( op1(e13,e11) != op1(e11,op1(e13,e11))
| ~ sP12 ),
inference(cnf_transformation,[],[f56]) ).
fof(f144,plain,
( op1(e13,e10) != op1(e10,op1(e13,e10))
| ~ sP12 ),
inference(cnf_transformation,[],[f56]) ).
fof(f147,plain,
( e11 != op1(e13,e13)
| e13 = op1(e13,e11) ),
inference(cnf_transformation,[],[f37]) ).
fof(f149,plain,
( e13 != op1(e12,e12)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f37]) ).
fof(f151,plain,
( e11 != op1(e12,e12)
| e12 = op1(e12,e11) ),
inference(cnf_transformation,[],[f37]) ).
fof(f152,plain,
( e10 != op1(e12,e12)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f37]) ).
fof(f156,plain,
( e10 != op1(e11,e11)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f37]) ).
fof(f157,plain,
( op1(e10,e10) != e13
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f37]) ).
fof(f159,plain,
( op1(e10,e10) != e11
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f37]) ).
fof(f161,plain,
( e10 = op1(e10,e10)
| e11 = op1(e11,e11)
| e12 = op1(e12,e12)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f37]) ).
fof(f163,plain,
( op1(e10,e12) != op1(e12,op1(e10,e12))
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f37]) ).
fof(f164,plain,
( op1(e10,e11) != op1(e11,op1(e10,e11))
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f37]) ).
fof(f165,plain,
( op1(e10,e10) != op1(e10,op1(e10,e10))
| sP14
| sP13
| sP12 ),
inference(cnf_transformation,[],[f37]) ).
fof(f174,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f189,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f199,plain,
op1(e10,e12) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f204,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f210,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f214,plain,
( e13 = op1(e10,e13)
| e13 = op1(e11,e13)
| e13 = op1(e12,e13)
| e13 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f216,plain,
( e12 = op1(e10,e13)
| e12 = op1(e11,e13)
| e12 = op1(e12,e13)
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f217,plain,
( e12 = op1(e13,e10)
| e12 = op1(e13,e11)
| e12 = op1(e13,e12)
| e12 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f220,plain,
( e10 = op1(e10,e13)
| e10 = op1(e11,e13)
| e10 = op1(e12,e13)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f221,plain,
( e10 = op1(e13,e10)
| e10 = op1(e13,e11)
| e10 = op1(e13,e12)
| e10 = op1(e13,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f222,plain,
( e13 = op1(e10,e12)
| e13 = op1(e11,e12)
| e13 = op1(e12,e12)
| e13 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f224,plain,
( e12 = op1(e10,e12)
| e12 = op1(e11,e12)
| e12 = op1(e12,e12)
| e12 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f225,plain,
( e12 = op1(e12,e10)
| e12 = op1(e12,e11)
| e12 = op1(e12,e12)
| e12 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f226,plain,
( e11 = op1(e10,e12)
| e11 = op1(e11,e12)
| e11 = op1(e12,e12)
| e11 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f227,plain,
( e11 = op1(e12,e10)
| e11 = op1(e12,e11)
| e11 = op1(e12,e12)
| e11 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f228,plain,
( e10 = op1(e10,e12)
| e10 = op1(e11,e12)
| e10 = op1(e12,e12)
| e10 = op1(e13,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f229,plain,
( e10 = op1(e12,e10)
| e10 = op1(e12,e11)
| e10 = op1(e12,e12)
| e10 = op1(e12,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f231,plain,
( e13 = op1(e11,e10)
| e13 = op1(e11,e11)
| e13 = op1(e11,e12)
| e13 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f232,plain,
( e12 = op1(e10,e11)
| e12 = op1(e11,e11)
| e12 = op1(e12,e11)
| e12 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f233,plain,
( e12 = op1(e11,e10)
| e12 = op1(e11,e11)
| e12 = op1(e11,e12)
| e12 = op1(e11,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f234,plain,
( e11 = op1(e10,e11)
| e11 = op1(e11,e11)
| e11 = op1(e12,e11)
| e11 = op1(e13,e11) ),
inference(cnf_transformation,[],[f2]) ).
fof(f238,plain,
( op1(e10,e10) = e13
| e13 = op1(e11,e10)
| e13 = op1(e12,e10)
| e13 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f240,plain,
( op1(e10,e10) = e12
| e12 = op1(e11,e10)
| e12 = op1(e12,e10)
| e12 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f243,plain,
( op1(e10,e10) = e11
| e11 = op1(e10,e11)
| e11 = op1(e10,e12)
| e11 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f245,plain,
( e10 = op1(e10,e10)
| e10 = op1(e10,e11)
| e10 = op1(e10,e12)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f261,plain,
( e10 = op1(e10,e10)
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 ),
inference(cnf_transformation,[],[f1]) ).
fof(f262,plain,
e22 = op2(e23,op2(op2(e23,e23),op2(e23,e23))),
inference(cnf_transformation,[],[f13]) ).
fof(f263,plain,
e21 = op2(e23,e23),
inference(cnf_transformation,[],[f13]) ).
fof(f264,plain,
e20 = op2(op2(e23,e23),op2(e23,e23)),
inference(cnf_transformation,[],[f13]) ).
fof(f266,plain,
( op2(e21,e22) != op2(e22,op2(e21,e22))
| ~ sP17 ),
inference(cnf_transformation,[],[f57]) ).
fof(f268,plain,
( op2(e21,e20) != op2(e20,op2(e21,e20))
| ~ sP17 ),
inference(cnf_transformation,[],[f57]) ).
fof(f270,plain,
( op2(e22,e22) != op2(e22,op2(e22,e22))
| ~ sP16 ),
inference(cnf_transformation,[],[f58]) ).
fof(f271,plain,
( op2(e22,e21) != op2(e21,op2(e22,e21))
| ~ sP16 ),
inference(cnf_transformation,[],[f58]) ).
fof(f272,plain,
( op2(e22,e20) != op2(e20,op2(e22,e20))
| ~ sP16 ),
inference(cnf_transformation,[],[f58]) ).
fof(f274,plain,
( op2(e23,e22) != op2(e22,op2(e23,e22))
| ~ sP15 ),
inference(cnf_transformation,[],[f59]) ).
fof(f275,plain,
( op2(e23,e21) != op2(e21,op2(e23,e21))
| ~ sP15 ),
inference(cnf_transformation,[],[f59]) ).
fof(f276,plain,
( op2(e23,e20) != op2(e20,op2(e23,e20))
| ~ sP15 ),
inference(cnf_transformation,[],[f59]) ).
fof(f278,plain,
( e22 != op2(e23,e23)
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f41]) ).
fof(f279,plain,
( e21 != op2(e23,e23)
| e23 = op2(e23,e21) ),
inference(cnf_transformation,[],[f41]) ).
fof(f281,plain,
( e23 != op2(e22,e22)
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f41]) ).
fof(f283,plain,
( e21 != op2(e22,e22)
| e22 = op2(e22,e21) ),
inference(cnf_transformation,[],[f41]) ).
fof(f284,plain,
( e20 != op2(e22,e22)
| e22 = op2(e22,e20) ),
inference(cnf_transformation,[],[f41]) ).
fof(f288,plain,
( e20 != op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f41]) ).
fof(f293,plain,
( e20 = op2(e20,e20)
| e21 = op2(e21,e21)
| e22 = op2(e22,e22)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f41]) ).
fof(f295,plain,
( op2(e20,e22) != op2(e22,op2(e20,e22))
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f41]) ).
fof(f297,plain,
( op2(e20,e20) != op2(e20,op2(e20,e20))
| sP17
| sP16
| sP15 ),
inference(cnf_transformation,[],[f41]) ).
fof(f314,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f315,plain,
e21 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f316,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f317,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f318,plain,
e20 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f319,plain,
e20 != e21,
inference(cnf_transformation,[],[f8]) ).
fof(f320,plain,
op2(e23,e22) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f322,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f324,plain,
op2(e23,e20) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f328,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f329,plain,
op2(e22,e20) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f332,plain,
op2(e21,e22) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f336,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f342,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f351,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f356,plain,
op2(e22,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f358,plain,
op2(e21,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f359,plain,
op2(e20,e21) != op2(e23,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f360,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f362,plain,
op2(e22,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f364,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f365,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f366,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f367,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f368,plain,
( e23 = op2(e20,e23)
| e23 = op2(e21,e23)
| e23 = op2(e22,e23)
| e23 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f370,plain,
( e22 = op2(e20,e23)
| e22 = op2(e21,e23)
| e22 = op2(e22,e23)
| e22 = op2(e23,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f376,plain,
( e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e22,e22)
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f377,plain,
( e23 = op2(e22,e20)
| e23 = op2(e22,e21)
| e23 = op2(e22,e22)
| e23 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f378,plain,
( e22 = op2(e20,e22)
| e22 = op2(e21,e22)
| e22 = op2(e22,e22)
| e22 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f379,plain,
( e22 = op2(e22,e20)
| e22 = op2(e22,e21)
| e22 = op2(e22,e22)
| e22 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f380,plain,
( e21 = op2(e20,e22)
| e21 = op2(e21,e22)
| e21 = op2(e22,e22)
| e21 = op2(e23,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f383,plain,
( e20 = op2(e22,e20)
| e20 = op2(e22,e21)
| e20 = op2(e22,e22)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f385,plain,
( e23 = op2(e21,e20)
| e23 = op2(e21,e21)
| e23 = op2(e21,e22)
| e23 = op2(e21,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f386,plain,
( e22 = op2(e20,e21)
| e22 = op2(e21,e21)
| e22 = op2(e22,e21)
| e22 = op2(e23,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f392,plain,
( op2(e20,e20) = e23
| e23 = op2(e21,e20)
| e23 = op2(e22,e20)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f393,plain,
( op2(e20,e20) = e23
| e23 = op2(e20,e21)
| e23 = op2(e20,e22)
| e23 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f395,plain,
( op2(e20,e20) = e22
| e22 = op2(e20,e21)
| e22 = op2(e20,e22)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f397,plain,
( op2(e20,e20) = e21
| e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| e21 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f398,plain,
( e20 = op2(e20,e20)
| e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f401,plain,
( e20 = op2(e23,e22)
| e21 = op2(e23,e22)
| e22 = op2(e23,e22)
| e23 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f406,plain,
( e20 = op2(e22,e21)
| e21 = op2(e22,e21)
| e22 = op2(e22,e21)
| e23 = op2(e22,e21) ),
inference(cnf_transformation,[],[f3]) ).
fof(f407,plain,
( e20 = op2(e22,e20)
| e21 = op2(e22,e20)
| e22 = op2(e22,e20)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f409,plain,
( e20 = op2(e21,e22)
| e21 = op2(e21,e22)
| e22 = op2(e21,e22)
| e23 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f417,plain,
op2(e20,e20) = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f421,plain,
op2(e21,e21) = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f425,plain,
op2(e22,e22) = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f428,plain,
op2(e23,op2(op2(e23,e23),op2(e23,e23))) = h4(e12),
inference(cnf_transformation,[],[f17]) ).
fof(f429,plain,
op2(e23,e23) = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f430,plain,
op2(op2(e23,e23),op2(e23,e23)) = h4(e10),
inference(cnf_transformation,[],[f17]) ).
fof(f431,plain,
e23 = h4(e13),
inference(cnf_transformation,[],[f17]) ).
fof(f432,plain,
h4(e10) = op2(h4(e11),h4(e11)),
inference(forward_demodulation,[],[f430,f429]) ).
fof(f438,definition,
( spl18_1
<=> e23 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl18_1])],[avatar_definition]) ).
fof(f440,plain,
( e23 = op2(e23,e22)
| ~ spl18_1 ),
inference(avatar_component_clause,[],[f438]) ).
fof(f442,definition,
( spl18_2
<=> e22 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl18_2])],[avatar_definition]) ).
fof(f444,plain,
( e22 = op2(e23,e22)
| ~ spl18_2 ),
inference(avatar_component_clause,[],[f442]) ).
fof(f446,definition,
( spl18_3
<=> e21 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl18_3])],[avatar_definition]) ).
fof(f448,plain,
( e21 = op2(e23,e22)
| ~ spl18_3 ),
inference(avatar_component_clause,[],[f446]) ).
fof(f450,definition,
( spl18_4
<=> e20 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl18_4])],[avatar_definition]) ).
fof(f452,plain,
( e20 = op2(e23,e22)
| ~ spl18_4 ),
inference(avatar_component_clause,[],[f450]) ).
fof(f453,plain,
( spl18_1
| spl18_2
| spl18_3
| spl18_4 ),
inference(avatar_split_clause,[],[f401,f450,f446,f442,f438]) ).
fof(f455,definition,
( spl18_5
<=> e23 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl18_5])],[avatar_definition]) ).
fof(f457,plain,
( e23 = op2(e23,e21)
| ~ spl18_5 ),
inference(avatar_component_clause,[],[f455]) ).
fof(f459,definition,
( spl18_6
<=> e22 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl18_6])],[avatar_definition]) ).
fof(f461,plain,
( e22 = op2(e23,e21)
| ~ spl18_6 ),
inference(avatar_component_clause,[],[f459]) ).
fof(f472,definition,
( spl18_9
<=> e23 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl18_9])],[avatar_definition]) ).
fof(f474,plain,
( e23 = op2(e23,e20)
| ~ spl18_9 ),
inference(avatar_component_clause,[],[f472]) ).
fof(f476,definition,
( spl18_10
<=> e22 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl18_10])],[avatar_definition]) ).
fof(f477,plain,
( e22 != op2(e23,e20)
| spl18_10 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f478,plain,
( e22 = op2(e23,e20)
| ~ spl18_10 ),
inference(avatar_component_clause,[],[f476]) ).
fof(f484,definition,
( spl18_12
<=> e20 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl18_12])],[avatar_definition]) ).
fof(f486,plain,
( e20 = op2(e23,e20)
| ~ spl18_12 ),
inference(avatar_component_clause,[],[f484]) ).
fof(f489,definition,
( spl18_13
<=> e23 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl18_13])],[avatar_definition]) ).
fof(f491,plain,
( e23 = op2(e22,e23)
| ~ spl18_13 ),
inference(avatar_component_clause,[],[f489]) ).
fof(f493,definition,
( spl18_14
<=> e22 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl18_14])],[avatar_definition]) ).
fof(f495,plain,
( e22 = op2(e22,e23)
| ~ spl18_14 ),
inference(avatar_component_clause,[],[f493]) ).
fof(f501,definition,
( spl18_16
<=> e20 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl18_16])],[avatar_definition]) ).
fof(f503,plain,
( e20 = op2(e22,e23)
| ~ spl18_16 ),
inference(avatar_component_clause,[],[f501]) ).
fof(f507,definition,
( spl18_17
<=> e23 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl18_17])],[avatar_definition]) ).
fof(f509,plain,
( e23 = op2(e22,e21)
| ~ spl18_17 ),
inference(avatar_component_clause,[],[f507]) ).
fof(f511,definition,
( spl18_18
<=> e22 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl18_18])],[avatar_definition]) ).
fof(f513,plain,
( e22 = op2(e22,e21)
| ~ spl18_18 ),
inference(avatar_component_clause,[],[f511]) ).
fof(f515,definition,
( spl18_19
<=> e21 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl18_19])],[avatar_definition]) ).
fof(f517,plain,
( e21 = op2(e22,e21)
| ~ spl18_19 ),
inference(avatar_component_clause,[],[f515]) ).
fof(f519,definition,
( spl18_20
<=> e20 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl18_20])],[avatar_definition]) ).
fof(f521,plain,
( e20 = op2(e22,e21)
| ~ spl18_20 ),
inference(avatar_component_clause,[],[f519]) ).
fof(f522,plain,
( spl18_17
| spl18_18
| spl18_19
| spl18_20 ),
inference(avatar_split_clause,[],[f406,f519,f515,f511,f507]) ).
fof(f524,definition,
( spl18_21
<=> e23 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl18_21])],[avatar_definition]) ).
fof(f526,plain,
( e23 = op2(e22,e20)
| ~ spl18_21 ),
inference(avatar_component_clause,[],[f524]) ).
fof(f528,definition,
( spl18_22
<=> e22 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl18_22])],[avatar_definition]) ).
fof(f532,definition,
( spl18_23
<=> e21 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl18_23])],[avatar_definition]) ).
fof(f534,plain,
( e21 = op2(e22,e20)
| ~ spl18_23 ),
inference(avatar_component_clause,[],[f532]) ).
fof(f536,definition,
( spl18_24
<=> e20 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl18_24])],[avatar_definition]) ).
fof(f538,plain,
( e20 = op2(e22,e20)
| ~ spl18_24 ),
inference(avatar_component_clause,[],[f536]) ).
fof(f539,plain,
( spl18_21
| spl18_22
| spl18_23
| spl18_24 ),
inference(avatar_split_clause,[],[f407,f536,f532,f528,f524]) ).
fof(f541,definition,
( spl18_25
<=> e23 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl18_25])],[avatar_definition]) ).
fof(f543,plain,
( e23 = op2(e21,e23)
| ~ spl18_25 ),
inference(avatar_component_clause,[],[f541]) ).
fof(f545,definition,
( spl18_26
<=> e22 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl18_26])],[avatar_definition]) ).
fof(f547,plain,
( e22 = op2(e21,e23)
| ~ spl18_26 ),
inference(avatar_component_clause,[],[f545]) ).
fof(f558,definition,
( spl18_29
<=> e23 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl18_29])],[avatar_definition]) ).
fof(f560,plain,
( e23 = op2(e21,e22)
| ~ spl18_29 ),
inference(avatar_component_clause,[],[f558]) ).
fof(f562,definition,
( spl18_30
<=> e22 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl18_30])],[avatar_definition]) ).
fof(f564,plain,
( e22 = op2(e21,e22)
| ~ spl18_30 ),
inference(avatar_component_clause,[],[f562]) ).
fof(f566,definition,
( spl18_31
<=> e21 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl18_31])],[avatar_definition]) ).
fof(f568,plain,
( e21 = op2(e21,e22)
| ~ spl18_31 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f570,definition,
( spl18_32
<=> e20 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl18_32])],[avatar_definition]) ).
fof(f573,plain,
( spl18_29
| spl18_30
| spl18_31
| spl18_32 ),
inference(avatar_split_clause,[],[f409,f570,f566,f562,f558]) ).
fof(f576,definition,
( spl18_33
<=> e23 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl18_33])],[avatar_definition]) ).
fof(f578,plain,
( e23 = op2(e21,e20)
| ~ spl18_33 ),
inference(avatar_component_clause,[],[f576]) ).
fof(f584,definition,
( spl18_35
<=> e21 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl18_35])],[avatar_definition]) ).
fof(f586,plain,
( e21 = op2(e21,e20)
| ~ spl18_35 ),
inference(avatar_component_clause,[],[f584]) ).
fof(f588,definition,
( spl18_36
<=> e20 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl18_36])],[avatar_definition]) ).
fof(f590,plain,
( e20 = op2(e21,e20)
| ~ spl18_36 ),
inference(avatar_component_clause,[],[f588]) ).
fof(f593,definition,
( spl18_37
<=> e23 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl18_37])],[avatar_definition]) ).
fof(f595,plain,
( e23 = op2(e20,e23)
| ~ spl18_37 ),
inference(avatar_component_clause,[],[f593]) ).
fof(f597,definition,
( spl18_38
<=> e22 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl18_38])],[avatar_definition]) ).
fof(f599,plain,
( e22 = op2(e20,e23)
| ~ spl18_38 ),
inference(avatar_component_clause,[],[f597]) ).
fof(f601,definition,
( spl18_39
<=> e21 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl18_39])],[avatar_definition]) ).
fof(f603,plain,
( e21 = op2(e20,e23)
| ~ spl18_39 ),
inference(avatar_component_clause,[],[f601]) ).
fof(f610,definition,
( spl18_41
<=> e23 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl18_41])],[avatar_definition]) ).
fof(f612,plain,
( e23 = op2(e20,e22)
| ~ spl18_41 ),
inference(avatar_component_clause,[],[f610]) ).
fof(f614,definition,
( spl18_42
<=> e22 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl18_42])],[avatar_definition]) ).
fof(f616,plain,
( e22 = op2(e20,e22)
| ~ spl18_42 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f618,definition,
( spl18_43
<=> e21 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl18_43])],[avatar_definition]) ).
fof(f620,plain,
( e21 = op2(e20,e22)
| ~ spl18_43 ),
inference(avatar_component_clause,[],[f618]) ).
fof(f627,definition,
( spl18_45
<=> e23 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl18_45])],[avatar_definition]) ).
fof(f631,definition,
( spl18_46
<=> e22 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl18_46])],[avatar_definition]) ).
fof(f633,plain,
( e22 = op2(e20,e21)
| ~ spl18_46 ),
inference(avatar_component_clause,[],[f631]) ).
fof(f635,definition,
( spl18_47
<=> e21 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl18_47])],[avatar_definition]) ).
fof(f637,plain,
( e21 = op2(e20,e21)
| ~ spl18_47 ),
inference(avatar_component_clause,[],[f635]) ).
fof(f644,plain,
( e23 = h4(e11)
| e23 = op2(e20,e23)
| e23 = op2(e21,e23)
| e23 = op2(e22,e23) ),
inference(forward_demodulation,[],[f368,f429]) ).
fof(f646,plain,
( e22 = h4(e11)
| e22 = op2(e20,e23)
| e22 = op2(e21,e23)
| e22 = op2(e22,e23) ),
inference(forward_demodulation,[],[f370,f429]) ).
fof(f652,plain,
( e23 = h3(e11)
| e23 = op2(e20,e22)
| e23 = op2(e21,e22)
| e23 = op2(e23,e22) ),
inference(forward_demodulation,[],[f376,f425]) ).
fof(f653,plain,
( e23 = h3(e11)
| e23 = op2(e22,e20)
| e23 = op2(e22,e21)
| e23 = op2(e22,e23) ),
inference(forward_demodulation,[],[f377,f425]) ).
fof(f654,plain,
( e22 = h3(e11)
| e22 = op2(e20,e22)
| e22 = op2(e21,e22)
| e22 = op2(e23,e22) ),
inference(forward_demodulation,[],[f378,f425]) ).
fof(f655,plain,
( e22 = h3(e11)
| e22 = op2(e22,e20)
| e22 = op2(e22,e21)
| e22 = op2(e22,e23) ),
inference(forward_demodulation,[],[f379,f425]) ).
fof(f656,plain,
( e21 = h3(e11)
| e21 = op2(e20,e22)
| e21 = op2(e21,e22)
| e21 = op2(e23,e22) ),
inference(forward_demodulation,[],[f380,f425]) ).
fof(f659,plain,
( e20 = h3(e11)
| e20 = op2(e22,e20)
| e20 = op2(e22,e21)
| e20 = op2(e22,e23) ),
inference(forward_demodulation,[],[f383,f425]) ).
fof(f661,plain,
( e23 = h2(e11)
| e23 = op2(e21,e20)
| e23 = op2(e21,e22)
| e23 = op2(e21,e23) ),
inference(forward_demodulation,[],[f385,f421]) ).
fof(f662,plain,
( e22 = h2(e11)
| e22 = op2(e20,e21)
| e22 = op2(e22,e21)
| e22 = op2(e23,e21) ),
inference(forward_demodulation,[],[f386,f421]) ).
fof(f668,plain,
( e23 = h1(e11)
| e23 = op2(e21,e20)
| e23 = op2(e22,e20)
| e23 = op2(e23,e20) ),
inference(forward_demodulation,[],[f392,f417]) ).
fof(f669,plain,
( e23 = h1(e11)
| e23 = op2(e20,e21)
| e23 = op2(e20,e22)
| e23 = op2(e20,e23) ),
inference(forward_demodulation,[],[f393,f417]) ).
fof(f671,plain,
( e22 = h1(e11)
| e22 = op2(e20,e21)
| e22 = op2(e20,e22)
| e22 = op2(e20,e23) ),
inference(forward_demodulation,[],[f395,f417]) ).
fof(f673,plain,
( e21 = h1(e11)
| e21 = op2(e20,e21)
| e21 = op2(e20,e22)
| e21 = op2(e20,e23) ),
inference(forward_demodulation,[],[f397,f417]) ).
fof(f674,plain,
( e20 = h1(e11)
| e20 = op2(e21,e20)
| e20 = op2(e22,e20)
| e20 = op2(e23,e20) ),
inference(forward_demodulation,[],[f398,f417]) ).
fof(f676,plain,
op2(e23,e22) != h4(e11),
inference(forward_demodulation,[],[f320,f429]) ).
fof(f680,plain,
op2(e22,e21) != h3(e11),
inference(forward_demodulation,[],[f328,f425]) ).
fof(f686,plain,
op2(e20,e22) != h1(e11),
inference(forward_demodulation,[],[f342,f417]) ).
fof(f695,plain,
op2(e22,e21) != h2(e11),
inference(forward_demodulation,[],[f358,f421]) ).
fof(f697,plain,
op2(e23,e20) != h1(e11),
inference(forward_demodulation,[],[f365,f417]) ).
fof(f698,plain,
op2(e22,e20) != h1(e11),
inference(forward_demodulation,[],[f366,f417]) ).
fof(f699,plain,
op2(e21,e20) != h1(e11),
inference(forward_demodulation,[],[f367,f417]) ).
fof(f700,plain,
( e22 != h4(e11)
| e23 = op2(e23,e22) ),
inference(forward_demodulation,[],[f278,f429]) ).
fof(f701,plain,
( e21 != h4(e11)
| e23 = op2(e23,e21) ),
inference(forward_demodulation,[],[f279,f429]) ).
fof(f703,plain,
( e23 != h3(e11)
| e22 = op2(e22,e23) ),
inference(forward_demodulation,[],[f281,f425]) ).
fof(f704,plain,
( e21 != h3(e11)
| e22 = op2(e22,e21) ),
inference(forward_demodulation,[],[f283,f425]) ).
fof(f705,plain,
( e20 != h3(e11)
| e22 = op2(e22,e20) ),
inference(forward_demodulation,[],[f284,f425]) ).
fof(f708,plain,
( e20 != h2(e11)
| e21 = op2(e21,e20) ),
inference(forward_demodulation,[],[f288,f421]) ).
fof(f712,plain,
( e20 = h1(e11)
| e21 = op2(e21,e21)
| e22 = op2(e22,e22)
| e23 = op2(e23,e23) ),
inference(forward_demodulation,[],[f293,f417]) ).
fof(f714,definition,
( spl18_49
<=> sP15 ),
introduced(definition,[new_symbols(definition,[spl18_49])],[avatar_definition]) ).
fof(f718,definition,
( spl18_50
<=> sP16 ),
introduced(definition,[new_symbols(definition,[spl18_50])],[avatar_definition]) ).
fof(f722,definition,
( spl18_51
<=> sP17 ),
introduced(definition,[new_symbols(definition,[spl18_51])],[avatar_definition]) ).
fof(f731,definition,
( spl18_53
<=> op2(e20,e22) = op2(e22,op2(e20,e22)) ),
introduced(definition,[new_symbols(definition,[spl18_53])],[avatar_definition]) ).
fof(f733,plain,
( op2(e20,e22) != op2(e22,op2(e20,e22))
| spl18_53 ),
inference(avatar_component_clause,[],[f731]) ).
fof(f734,plain,
( spl18_49
| spl18_50
| spl18_51
| ~ spl18_53 ),
inference(avatar_split_clause,[],[f295,f731,f722,f718,f714]) ).
fof(f740,plain,
( h1(e11) != op2(e20,h1(e11))
| sP17
| sP16
| sP15 ),
inference(forward_demodulation,[],[f297,f417]) ).
fof(f743,definition,
( spl18_55
<=> op2(e23,e22) = op2(e22,op2(e23,e22)) ),
introduced(definition,[new_symbols(definition,[spl18_55])],[avatar_definition]) ).
fof(f745,plain,
( op2(e23,e22) != op2(e22,op2(e23,e22))
| spl18_55 ),
inference(avatar_component_clause,[],[f743]) ).
fof(f746,plain,
( ~ spl18_49
| ~ spl18_55 ),
inference(avatar_split_clause,[],[f274,f743,f714]) ).
fof(f748,definition,
( spl18_56
<=> op2(e23,e21) = op2(e21,op2(e23,e21)) ),
introduced(definition,[new_symbols(definition,[spl18_56])],[avatar_definition]) ).
fof(f750,plain,
( op2(e23,e21) != op2(e21,op2(e23,e21))
| spl18_56 ),
inference(avatar_component_clause,[],[f748]) ).
fof(f751,plain,
( ~ spl18_49
| ~ spl18_56 ),
inference(avatar_split_clause,[],[f275,f748,f714]) ).
fof(f753,definition,
( spl18_57
<=> op2(e23,e20) = op2(e20,op2(e23,e20)) ),
introduced(definition,[new_symbols(definition,[spl18_57])],[avatar_definition]) ).
fof(f755,plain,
( op2(e23,e20) != op2(e20,op2(e23,e20))
| spl18_57 ),
inference(avatar_component_clause,[],[f753]) ).
fof(f756,plain,
( ~ spl18_49
| ~ spl18_57 ),
inference(avatar_split_clause,[],[f276,f753,f714]) ).
fof(f762,plain,
( h3(e11) != op2(e22,h3(e11))
| ~ sP16 ),
inference(forward_demodulation,[],[f270,f425]) ).
fof(f764,definition,
( spl18_59
<=> op2(e22,e21) = op2(e21,op2(e22,e21)) ),
introduced(definition,[new_symbols(definition,[spl18_59])],[avatar_definition]) ).
fof(f766,plain,
( op2(e22,e21) != op2(e21,op2(e22,e21))
| spl18_59 ),
inference(avatar_component_clause,[],[f764]) ).
fof(f767,plain,
( ~ spl18_50
| ~ spl18_59 ),
inference(avatar_split_clause,[],[f271,f764,f718]) ).
fof(f769,definition,
( spl18_60
<=> op2(e22,e20) = op2(e20,op2(e22,e20)) ),
introduced(definition,[new_symbols(definition,[spl18_60])],[avatar_definition]) ).
fof(f771,plain,
( op2(e22,e20) != op2(e20,op2(e22,e20))
| spl18_60 ),
inference(avatar_component_clause,[],[f769]) ).
fof(f772,plain,
( ~ spl18_50
| ~ spl18_60 ),
inference(avatar_split_clause,[],[f272,f769,f718]) ).
fof(f779,definition,
( spl18_62
<=> op2(e21,e22) = op2(e22,op2(e21,e22)) ),
introduced(definition,[new_symbols(definition,[spl18_62])],[avatar_definition]) ).
fof(f781,plain,
( op2(e21,e22) != op2(e22,op2(e21,e22))
| spl18_62 ),
inference(avatar_component_clause,[],[f779]) ).
fof(f782,plain,
( ~ spl18_51
| ~ spl18_62 ),
inference(avatar_split_clause,[],[f266,f779,f722]) ).
fof(f785,definition,
( spl18_63
<=> op2(e21,e20) = op2(e20,op2(e21,e20)) ),
introduced(definition,[new_symbols(definition,[spl18_63])],[avatar_definition]) ).
fof(f787,plain,
( op2(e21,e20) != op2(e20,op2(e21,e20))
| spl18_63 ),
inference(avatar_component_clause,[],[f785]) ).
fof(f788,plain,
( ~ spl18_51
| ~ spl18_63 ),
inference(avatar_split_clause,[],[f268,f785,f722]) ).
fof(f789,plain,
e22 = op2(e23,op2(h4(e11),h4(e11))),
inference(forward_demodulation,[],[f262,f429]) ).
fof(f790,plain,
e20 = op2(h4(e11),h4(e11)),
inference(forward_demodulation,[],[f264,f429]) ).
fof(f792,definition,
( spl18_64
<=> e13 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl18_64])],[avatar_definition]) ).
fof(f794,plain,
( e13 = op1(e13,e13)
| ~ spl18_64 ),
inference(avatar_component_clause,[],[f792]) ).
fof(f796,definition,
( spl18_65
<=> e12 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl18_65])],[avatar_definition]) ).
fof(f798,plain,
( e12 = op1(e13,e13)
| ~ spl18_65 ),
inference(avatar_component_clause,[],[f796]) ).
fof(f800,definition,
( spl18_66
<=> e11 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl18_66])],[avatar_definition]) ).
fof(f802,plain,
( e11 = op1(e13,e13)
| ~ spl18_66 ),
inference(avatar_component_clause,[],[f800]) ).
fof(f804,definition,
( spl18_67
<=> e10 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl18_67])],[avatar_definition]) ).
fof(f806,plain,
( e10 = op1(e13,e13)
| ~ spl18_67 ),
inference(avatar_component_clause,[],[f804]) ).
fof(f809,definition,
( spl18_68
<=> e13 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl18_68])],[avatar_definition]) ).
fof(f811,plain,
( e13 = op1(e13,e12)
| ~ spl18_68 ),
inference(avatar_component_clause,[],[f809]) ).
fof(f813,definition,
( spl18_69
<=> e12 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl18_69])],[avatar_definition]) ).
fof(f815,plain,
( e12 = op1(e13,e12)
| ~ spl18_69 ),
inference(avatar_component_clause,[],[f813]) ).
fof(f817,definition,
( spl18_70
<=> e11 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl18_70])],[avatar_definition]) ).
fof(f819,plain,
( e11 = op1(e13,e12)
| ~ spl18_70 ),
inference(avatar_component_clause,[],[f817]) ).
fof(f821,definition,
( spl18_71
<=> e10 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl18_71])],[avatar_definition]) ).
fof(f823,plain,
( e10 = op1(e13,e12)
| ~ spl18_71 ),
inference(avatar_component_clause,[],[f821]) ).
fof(f826,definition,
( spl18_72
<=> e13 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl18_72])],[avatar_definition]) ).
fof(f828,plain,
( e13 = op1(e13,e11)
| ~ spl18_72 ),
inference(avatar_component_clause,[],[f826]) ).
fof(f830,definition,
( spl18_73
<=> e12 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl18_73])],[avatar_definition]) ).
fof(f832,plain,
( e12 = op1(e13,e11)
| ~ spl18_73 ),
inference(avatar_component_clause,[],[f830]) ).
fof(f834,definition,
( spl18_74
<=> e11 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl18_74])],[avatar_definition]) ).
fof(f836,plain,
( e11 = op1(e13,e11)
| ~ spl18_74 ),
inference(avatar_component_clause,[],[f834]) ).
fof(f838,definition,
( spl18_75
<=> e10 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl18_75])],[avatar_definition]) ).
fof(f840,plain,
( e10 = op1(e13,e11)
| ~ spl18_75 ),
inference(avatar_component_clause,[],[f838]) ).
fof(f843,definition,
( spl18_76
<=> e13 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl18_76])],[avatar_definition]) ).
fof(f845,plain,
( e13 = op1(e13,e10)
| ~ spl18_76 ),
inference(avatar_component_clause,[],[f843]) ).
fof(f847,definition,
( spl18_77
<=> e12 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl18_77])],[avatar_definition]) ).
fof(f849,plain,
( e12 = op1(e13,e10)
| ~ spl18_77 ),
inference(avatar_component_clause,[],[f847]) ).
fof(f855,definition,
( spl18_79
<=> e10 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl18_79])],[avatar_definition]) ).
fof(f857,plain,
( e10 = op1(e13,e10)
| ~ spl18_79 ),
inference(avatar_component_clause,[],[f855]) ).
fof(f860,definition,
( spl18_80
<=> e13 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl18_80])],[avatar_definition]) ).
fof(f862,plain,
( e13 = op1(e12,e13)
| ~ spl18_80 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f864,definition,
( spl18_81
<=> e12 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl18_81])],[avatar_definition]) ).
fof(f866,plain,
( e12 = op1(e12,e13)
| ~ spl18_81 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f868,definition,
( spl18_82
<=> e11 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl18_82])],[avatar_definition]) ).
fof(f870,plain,
( e11 = op1(e12,e13)
| ~ spl18_82 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f872,definition,
( spl18_83
<=> e10 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl18_83])],[avatar_definition]) ).
fof(f874,plain,
( e10 = op1(e12,e13)
| ~ spl18_83 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f877,definition,
( spl18_84
<=> e13 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl18_84])],[avatar_definition]) ).
fof(f881,definition,
( spl18_85
<=> e12 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl18_85])],[avatar_definition]) ).
fof(f883,plain,
( e12 = op1(e12,e12)
| ~ spl18_85 ),
inference(avatar_component_clause,[],[f881]) ).
fof(f885,definition,
( spl18_86
<=> e11 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl18_86])],[avatar_definition]) ).
fof(f889,definition,
( spl18_87
<=> e10 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl18_87])],[avatar_definition]) ).
fof(f891,plain,
( e10 = op1(e12,e12)
| ~ spl18_87 ),
inference(avatar_component_clause,[],[f889]) ).
fof(f898,definition,
( spl18_89
<=> e12 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl18_89])],[avatar_definition]) ).
fof(f900,plain,
( e12 = op1(e12,e11)
| ~ spl18_89 ),
inference(avatar_component_clause,[],[f898]) ).
fof(f902,definition,
( spl18_90
<=> e11 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl18_90])],[avatar_definition]) ).
fof(f904,plain,
( e11 = op1(e12,e11)
| ~ spl18_90 ),
inference(avatar_component_clause,[],[f902]) ).
fof(f906,definition,
( spl18_91
<=> e10 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl18_91])],[avatar_definition]) ).
fof(f908,plain,
( e10 = op1(e12,e11)
| ~ spl18_91 ),
inference(avatar_component_clause,[],[f906]) ).
fof(f911,definition,
( spl18_92
<=> e13 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl18_92])],[avatar_definition]) ).
fof(f913,plain,
( e13 = op1(e12,e10)
| ~ spl18_92 ),
inference(avatar_component_clause,[],[f911]) ).
fof(f915,definition,
( spl18_93
<=> e12 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl18_93])],[avatar_definition]) ).
fof(f917,plain,
( e12 = op1(e12,e10)
| ~ spl18_93 ),
inference(avatar_component_clause,[],[f915]) ).
fof(f919,definition,
( spl18_94
<=> e11 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl18_94])],[avatar_definition]) ).
fof(f921,plain,
( e11 = op1(e12,e10)
| ~ spl18_94 ),
inference(avatar_component_clause,[],[f919]) ).
fof(f923,definition,
( spl18_95
<=> e10 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl18_95])],[avatar_definition]) ).
fof(f925,plain,
( e10 = op1(e12,e10)
| ~ spl18_95 ),
inference(avatar_component_clause,[],[f923]) ).
fof(f928,definition,
( spl18_96
<=> e13 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl18_96])],[avatar_definition]) ).
fof(f930,plain,
( e13 = op1(e11,e13)
| ~ spl18_96 ),
inference(avatar_component_clause,[],[f928]) ).
fof(f932,definition,
( spl18_97
<=> e12 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl18_97])],[avatar_definition]) ).
fof(f934,plain,
( e12 = op1(e11,e13)
| ~ spl18_97 ),
inference(avatar_component_clause,[],[f932]) ).
fof(f940,definition,
( spl18_99
<=> e10 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl18_99])],[avatar_definition]) ).
fof(f942,plain,
( e10 = op1(e11,e13)
| ~ spl18_99 ),
inference(avatar_component_clause,[],[f940]) ).
fof(f945,definition,
( spl18_100
<=> e13 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl18_100])],[avatar_definition]) ).
fof(f947,plain,
( e13 = op1(e11,e12)
| ~ spl18_100 ),
inference(avatar_component_clause,[],[f945]) ).
fof(f949,definition,
( spl18_101
<=> e12 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl18_101])],[avatar_definition]) ).
fof(f951,plain,
( e12 = op1(e11,e12)
| ~ spl18_101 ),
inference(avatar_component_clause,[],[f949]) ).
fof(f953,definition,
( spl18_102
<=> e11 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl18_102])],[avatar_definition]) ).
fof(f955,plain,
( e11 = op1(e11,e12)
| ~ spl18_102 ),
inference(avatar_component_clause,[],[f953]) ).
fof(f957,definition,
( spl18_103
<=> e10 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl18_103])],[avatar_definition]) ).
fof(f959,plain,
( e10 = op1(e11,e12)
| ~ spl18_103 ),
inference(avatar_component_clause,[],[f957]) ).
fof(f962,definition,
( spl18_104
<=> e13 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl18_104])],[avatar_definition]) ).
fof(f964,plain,
( e13 = op1(e11,e11)
| ~ spl18_104 ),
inference(avatar_component_clause,[],[f962]) ).
fof(f966,definition,
( spl18_105
<=> e12 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl18_105])],[avatar_definition]) ).
fof(f968,plain,
( e12 = op1(e11,e11)
| ~ spl18_105 ),
inference(avatar_component_clause,[],[f966]) ).
fof(f970,definition,
( spl18_106
<=> e11 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl18_106])],[avatar_definition]) ).
fof(f972,plain,
( e11 = op1(e11,e11)
| ~ spl18_106 ),
inference(avatar_component_clause,[],[f970]) ).
fof(f974,definition,
( spl18_107
<=> e10 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl18_107])],[avatar_definition]) ).
fof(f975,plain,
( e10 != op1(e11,e11)
| spl18_107 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f976,plain,
( e10 = op1(e11,e11)
| ~ spl18_107 ),
inference(avatar_component_clause,[],[f974]) ).
fof(f979,definition,
( spl18_108
<=> e13 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl18_108])],[avatar_definition]) ).
fof(f981,plain,
( e13 = op1(e11,e10)
| ~ spl18_108 ),
inference(avatar_component_clause,[],[f979]) ).
fof(f983,definition,
( spl18_109
<=> e12 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl18_109])],[avatar_definition]) ).
fof(f985,plain,
( e12 = op1(e11,e10)
| ~ spl18_109 ),
inference(avatar_component_clause,[],[f983]) ).
fof(f987,definition,
( spl18_110
<=> e11 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl18_110])],[avatar_definition]) ).
fof(f989,plain,
( e11 = op1(e11,e10)
| ~ spl18_110 ),
inference(avatar_component_clause,[],[f987]) ).
fof(f996,definition,
( spl18_112
<=> e13 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl18_112])],[avatar_definition]) ).
fof(f998,plain,
( e13 = op1(e10,e13)
| ~ spl18_112 ),
inference(avatar_component_clause,[],[f996]) ).
fof(f1000,definition,
( spl18_113
<=> e12 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl18_113])],[avatar_definition]) ).
fof(f1002,plain,
( e12 = op1(e10,e13)
| ~ spl18_113 ),
inference(avatar_component_clause,[],[f1000]) ).
fof(f1004,definition,
( spl18_114
<=> e11 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl18_114])],[avatar_definition]) ).
fof(f1006,plain,
( e11 = op1(e10,e13)
| ~ spl18_114 ),
inference(avatar_component_clause,[],[f1004]) ).
fof(f1008,definition,
( spl18_115
<=> e10 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl18_115])],[avatar_definition]) ).
fof(f1010,plain,
( e10 = op1(e10,e13)
| ~ spl18_115 ),
inference(avatar_component_clause,[],[f1008]) ).
fof(f1013,definition,
( spl18_116
<=> e13 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl18_116])],[avatar_definition]) ).
fof(f1015,plain,
( e13 = op1(e10,e12)
| ~ spl18_116 ),
inference(avatar_component_clause,[],[f1013]) ).
fof(f1017,definition,
( spl18_117
<=> e12 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl18_117])],[avatar_definition]) ).
fof(f1021,definition,
( spl18_118
<=> e11 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl18_118])],[avatar_definition]) ).
fof(f1023,plain,
( e11 = op1(e10,e12)
| ~ spl18_118 ),
inference(avatar_component_clause,[],[f1021]) ).
fof(f1025,definition,
( spl18_119
<=> e10 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl18_119])],[avatar_definition]) ).
fof(f1027,plain,
( e10 = op1(e10,e12)
| ~ spl18_119 ),
inference(avatar_component_clause,[],[f1025]) ).
fof(f1034,definition,
( spl18_121
<=> e12 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl18_121])],[avatar_definition]) ).
fof(f1036,plain,
( e12 = op1(e10,e11)
| ~ spl18_121 ),
inference(avatar_component_clause,[],[f1034]) ).
fof(f1038,definition,
( spl18_122
<=> e11 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl18_122])],[avatar_definition]) ).
fof(f1040,plain,
( e11 = op1(e10,e11)
| ~ spl18_122 ),
inference(avatar_component_clause,[],[f1038]) ).
fof(f1042,definition,
( spl18_123
<=> e10 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl18_123])],[avatar_definition]) ).
fof(f1044,plain,
( e10 = op1(e10,e11)
| ~ spl18_123 ),
inference(avatar_component_clause,[],[f1042]) ).
fof(f1047,definition,
( spl18_124
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[spl18_124])],[avatar_definition]) ).
fof(f1049,plain,
( op1(e10,e10) = e13
| ~ spl18_124 ),
inference(avatar_component_clause,[],[f1047]) ).
fof(f1051,definition,
( spl18_125
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[spl18_125])],[avatar_definition]) ).
fof(f1053,plain,
( op1(e10,e10) = e12
| ~ spl18_125 ),
inference(avatar_component_clause,[],[f1051]) ).
fof(f1055,definition,
( spl18_126
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[spl18_126])],[avatar_definition]) ).
fof(f1057,plain,
( op1(e10,e10) = e11
| ~ spl18_126 ),
inference(avatar_component_clause,[],[f1055]) ).
fof(f1059,definition,
( spl18_127
<=> e10 = op1(e10,e10) ),
introduced(definition,[new_symbols(definition,[spl18_127])],[avatar_definition]) ).
fof(f1061,plain,
( e10 = op1(e10,e10)
| ~ spl18_127 ),
inference(avatar_component_clause,[],[f1059]) ).
fof(f1062,plain,
( spl18_124
| spl18_125
| spl18_126
| spl18_127 ),
inference(avatar_split_clause,[],[f261,f1059,f1055,f1051,f1047]) ).
fof(f1063,plain,
( spl18_64
| spl18_80
| spl18_96
| spl18_112 ),
inference(avatar_split_clause,[],[f214,f996,f928,f860,f792]) ).
fof(f1065,plain,
( spl18_65
| spl18_81
| spl18_97
| spl18_113 ),
inference(avatar_split_clause,[],[f216,f1000,f932,f864,f796]) ).
fof(f1066,plain,
( spl18_65
| spl18_69
| spl18_73
| spl18_77 ),
inference(avatar_split_clause,[],[f217,f847,f830,f813,f796]) ).
fof(f1069,plain,
( spl18_67
| spl18_83
| spl18_99
| spl18_115 ),
inference(avatar_split_clause,[],[f220,f1008,f940,f872,f804]) ).
fof(f1070,plain,
( spl18_67
| spl18_71
| spl18_75
| spl18_79 ),
inference(avatar_split_clause,[],[f221,f855,f838,f821,f804]) ).
fof(f1071,plain,
( spl18_68
| spl18_84
| spl18_100
| spl18_116 ),
inference(avatar_split_clause,[],[f222,f1013,f945,f877,f809]) ).
fof(f1073,plain,
( spl18_69
| spl18_85
| spl18_101
| spl18_117 ),
inference(avatar_split_clause,[],[f224,f1017,f949,f881,f813]) ).
fof(f1074,plain,
( spl18_81
| spl18_85
| spl18_89
| spl18_93 ),
inference(avatar_split_clause,[],[f225,f915,f898,f881,f864]) ).
fof(f1075,plain,
( spl18_70
| spl18_86
| spl18_102
| spl18_118 ),
inference(avatar_split_clause,[],[f226,f1021,f953,f885,f817]) ).
fof(f1076,plain,
( spl18_82
| spl18_86
| spl18_90
| spl18_94 ),
inference(avatar_split_clause,[],[f227,f919,f902,f885,f868]) ).
fof(f1077,plain,
( spl18_71
| spl18_87
| spl18_103
| spl18_119 ),
inference(avatar_split_clause,[],[f228,f1025,f957,f889,f821]) ).
fof(f1078,plain,
( spl18_83
| spl18_87
| spl18_91
| spl18_95 ),
inference(avatar_split_clause,[],[f229,f923,f906,f889,f872]) ).
fof(f1080,plain,
( spl18_96
| spl18_100
| spl18_104
| spl18_108 ),
inference(avatar_split_clause,[],[f231,f979,f962,f945,f928]) ).
fof(f1081,plain,
( spl18_73
| spl18_89
| spl18_105
| spl18_121 ),
inference(avatar_split_clause,[],[f232,f1034,f966,f898,f830]) ).
fof(f1082,plain,
( spl18_97
| spl18_101
| spl18_105
| spl18_109 ),
inference(avatar_split_clause,[],[f233,f983,f966,f949,f932]) ).
fof(f1083,plain,
( spl18_74
| spl18_90
| spl18_106
| spl18_122 ),
inference(avatar_split_clause,[],[f234,f1038,f970,f902,f834]) ).
fof(f1087,plain,
( spl18_76
| spl18_92
| spl18_108
| spl18_124 ),
inference(avatar_split_clause,[],[f238,f1047,f979,f911,f843]) ).
fof(f1089,plain,
( spl18_77
| spl18_93
| spl18_109
| spl18_125 ),
inference(avatar_split_clause,[],[f240,f1051,f983,f915,f847]) ).
fof(f1092,plain,
( spl18_114
| spl18_118
| spl18_122
| spl18_126 ),
inference(avatar_split_clause,[],[f243,f1055,f1038,f1021,f1004]) ).
fof(f1094,plain,
( spl18_115
| spl18_119
| spl18_123
| spl18_127 ),
inference(avatar_split_clause,[],[f245,f1059,f1042,f1025,f1008]) ).
fof(f1096,plain,
( spl18_72
| ~ spl18_66 ),
inference(avatar_split_clause,[],[f147,f800,f826]) ).
fof(f1098,plain,
( spl18_81
| ~ spl18_84 ),
inference(avatar_split_clause,[],[f149,f877,f864]) ).
fof(f1099,plain,
( spl18_89
| ~ spl18_86 ),
inference(avatar_split_clause,[],[f151,f885,f898]) ).
fof(f1100,plain,
( spl18_93
| ~ spl18_87 ),
inference(avatar_split_clause,[],[f152,f889,f915]) ).
fof(f1103,plain,
( spl18_110
| ~ spl18_107 ),
inference(avatar_split_clause,[],[f156,f974,f987]) ).
fof(f1104,plain,
( spl18_115
| ~ spl18_124 ),
inference(avatar_split_clause,[],[f157,f1047,f1008]) ).
fof(f1106,plain,
( spl18_123
| ~ spl18_126 ),
inference(avatar_split_clause,[],[f159,f1055,f1042]) ).
fof(f1107,plain,
( spl18_64
| spl18_85
| spl18_106
| spl18_127 ),
inference(avatar_split_clause,[],[f161,f1059,f970,f881,f792]) ).
fof(f1109,definition,
( spl18_128
<=> sP12 ),
introduced(definition,[new_symbols(definition,[spl18_128])],[avatar_definition]) ).
fof(f1113,definition,
( spl18_129
<=> sP13 ),
introduced(definition,[new_symbols(definition,[spl18_129])],[avatar_definition]) ).
fof(f1117,definition,
( spl18_130
<=> sP14 ),
introduced(definition,[new_symbols(definition,[spl18_130])],[avatar_definition]) ).
fof(f1126,definition,
( spl18_132
<=> op1(e10,e12) = op1(e12,op1(e10,e12)) ),
introduced(definition,[new_symbols(definition,[spl18_132])],[avatar_definition]) ).
fof(f1128,plain,
( op1(e10,e12) != op1(e12,op1(e10,e12))
| spl18_132 ),
inference(avatar_component_clause,[],[f1126]) ).
fof(f1129,plain,
( spl18_128
| spl18_129
| spl18_130
| ~ spl18_132 ),
inference(avatar_split_clause,[],[f163,f1126,f1117,f1113,f1109]) ).
fof(f1131,definition,
( spl18_133
<=> op1(e10,e11) = op1(e11,op1(e10,e11)) ),
introduced(definition,[new_symbols(definition,[spl18_133])],[avatar_definition]) ).
fof(f1133,plain,
( op1(e10,e11) != op1(e11,op1(e10,e11))
| spl18_133 ),
inference(avatar_component_clause,[],[f1131]) ).
fof(f1134,plain,
( spl18_128
| spl18_129
| spl18_130
| ~ spl18_133 ),
inference(avatar_split_clause,[],[f164,f1131,f1117,f1113,f1109]) ).
fof(f1136,definition,
( spl18_134
<=> op1(e10,e10) = op1(e10,op1(e10,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_134])],[avatar_definition]) ).
fof(f1137,plain,
( op1(e10,e10) = op1(e10,op1(e10,e10))
| ~ spl18_134 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1138,plain,
( op1(e10,e10) != op1(e10,op1(e10,e10))
| spl18_134 ),
inference(avatar_component_clause,[],[f1136]) ).
fof(f1139,plain,
( spl18_128
| spl18_129
| spl18_130
| ~ spl18_134 ),
inference(avatar_split_clause,[],[f165,f1136,f1117,f1113,f1109]) ).
fof(f1146,definition,
( spl18_136
<=> op1(e13,e12) = op1(e12,op1(e13,e12)) ),
introduced(definition,[new_symbols(definition,[spl18_136])],[avatar_definition]) ).
fof(f1148,plain,
( op1(e13,e12) != op1(e12,op1(e13,e12))
| spl18_136 ),
inference(avatar_component_clause,[],[f1146]) ).
fof(f1149,plain,
( ~ spl18_128
| ~ spl18_136 ),
inference(avatar_split_clause,[],[f142,f1146,f1109]) ).
fof(f1151,definition,
( spl18_137
<=> op1(e13,e11) = op1(e11,op1(e13,e11)) ),
introduced(definition,[new_symbols(definition,[spl18_137])],[avatar_definition]) ).
fof(f1153,plain,
( op1(e13,e11) != op1(e11,op1(e13,e11))
| spl18_137 ),
inference(avatar_component_clause,[],[f1151]) ).
fof(f1154,plain,
( ~ spl18_128
| ~ spl18_137 ),
inference(avatar_split_clause,[],[f143,f1151,f1109]) ).
fof(f1156,definition,
( spl18_138
<=> op1(e13,e10) = op1(e10,op1(e13,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_138])],[avatar_definition]) ).
fof(f1157,plain,
( op1(e13,e10) = op1(e10,op1(e13,e10))
| ~ spl18_138 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1158,plain,
( op1(e13,e10) != op1(e10,op1(e13,e10))
| spl18_138 ),
inference(avatar_component_clause,[],[f1156]) ).
fof(f1159,plain,
( ~ spl18_128
| ~ spl18_138 ),
inference(avatar_split_clause,[],[f144,f1156,f1109]) ).
fof(f1166,definition,
( spl18_140
<=> op1(e12,e12) = op1(e12,op1(e12,e12)) ),
introduced(definition,[new_symbols(definition,[spl18_140])],[avatar_definition]) ).
fof(f1168,plain,
( op1(e12,e12) != op1(e12,op1(e12,e12))
| spl18_140 ),
inference(avatar_component_clause,[],[f1166]) ).
fof(f1169,plain,
( ~ spl18_129
| ~ spl18_140 ),
inference(avatar_split_clause,[],[f138,f1166,f1113]) ).
fof(f1171,definition,
( spl18_141
<=> op1(e12,e11) = op1(e11,op1(e12,e11)) ),
introduced(definition,[new_symbols(definition,[spl18_141])],[avatar_definition]) ).
fof(f1173,plain,
( op1(e12,e11) != op1(e11,op1(e12,e11))
| spl18_141 ),
inference(avatar_component_clause,[],[f1171]) ).
fof(f1174,plain,
( ~ spl18_129
| ~ spl18_141 ),
inference(avatar_split_clause,[],[f139,f1171,f1113]) ).
fof(f1176,definition,
( spl18_142
<=> op1(e12,e10) = op1(e10,op1(e12,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_142])],[avatar_definition]) ).
fof(f1178,plain,
( op1(e12,e10) != op1(e10,op1(e12,e10))
| spl18_142 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f1179,plain,
( ~ spl18_129
| ~ spl18_142 ),
inference(avatar_split_clause,[],[f140,f1176,f1113]) ).
fof(f1186,definition,
( spl18_144
<=> op1(e11,e12) = op1(e12,op1(e11,e12)) ),
introduced(definition,[new_symbols(definition,[spl18_144])],[avatar_definition]) ).
fof(f1188,plain,
( op1(e11,e12) != op1(e12,op1(e11,e12))
| spl18_144 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1189,plain,
( ~ spl18_130
| ~ spl18_144 ),
inference(avatar_split_clause,[],[f134,f1186,f1117]) ).
fof(f1196,definition,
( spl18_146
<=> op1(e11,e10) = op1(e10,op1(e11,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_146])],[avatar_definition]) ).
fof(f1198,plain,
( op1(e11,e10) != op1(e10,op1(e11,e10))
| spl18_146 ),
inference(avatar_component_clause,[],[f1196]) ).
fof(f1199,plain,
( ~ spl18_130
| ~ spl18_146 ),
inference(avatar_split_clause,[],[f136,f1196,f1117]) ).
fof(f1200,plain,
spl18_66,
inference(avatar_split_clause,[],[f131,f800]) ).
fof(f1204,plain,
( h4(op1(e10,e13)) != op2(h4(e10),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(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)
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f111,f431]) ).
fof(f1217,plain,
~ sP0,
inference(forward_subsumption_resolution,[],[f104,f431]) ).
fof(f1219,definition,
( spl18_147
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl18_147])],[avatar_definition]) ).
fof(f1228,definition,
( spl18_149
<=> e23 = h4(e11) ),
introduced(definition,[new_symbols(definition,[spl18_149])],[avatar_definition]) ).
fof(f1229,plain,
( e23 = h4(e11)
| ~ spl18_149 ),
inference(avatar_component_clause,[],[f1228]) ).
fof(f1239,definition,
( spl18_151
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl18_151])],[avatar_definition]) ).
fof(f1243,definition,
( spl18_152
<=> e22 = h4(e12) ),
introduced(definition,[new_symbols(definition,[spl18_152])],[avatar_definition]) ).
fof(f1244,plain,
( e22 = h4(e12)
| ~ spl18_152 ),
inference(avatar_component_clause,[],[f1243]) ).
fof(f1246,plain,
( ~ spl18_151
| ~ spl18_152 ),
inference(avatar_split_clause,[],[f101,f1243,f1239]) ).
fof(f1248,definition,
( spl18_153
<=> e22 = h4(e11) ),
introduced(definition,[new_symbols(definition,[spl18_153])],[avatar_definition]) ).
fof(f1259,definition,
( spl18_155
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl18_155])],[avatar_definition]) ).
fof(f1268,definition,
( spl18_157
<=> e21 = h4(e11) ),
introduced(definition,[new_symbols(definition,[spl18_157])],[avatar_definition]) ).
fof(f1269,plain,
( e21 = h4(e11)
| ~ spl18_157 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1270,plain,
( e21 != h4(e11)
| spl18_157 ),
inference(avatar_component_clause,[],[f1268]) ).
fof(f1271,plain,
( ~ spl18_155
| ~ spl18_157 ),
inference(avatar_split_clause,[],[f98,f1268,f1259]) ).
fof(f1288,definition,
( spl18_161
<=> e23 = h3(e11) ),
introduced(definition,[new_symbols(definition,[spl18_161])],[avatar_definition]) ).
fof(f1289,plain,
( e23 = h3(e11)
| ~ spl18_161 ),
inference(avatar_component_clause,[],[f1288]) ).
fof(f1308,definition,
( spl18_165
<=> e22 = h3(e11) ),
introduced(definition,[new_symbols(definition,[spl18_165])],[avatar_definition]) ).
fof(f1309,plain,
( e22 = h3(e11)
| ~ spl18_165 ),
inference(avatar_component_clause,[],[f1308]) ).
fof(f1328,definition,
( spl18_169
<=> e21 = h3(e11) ),
introduced(definition,[new_symbols(definition,[spl18_169])],[avatar_definition]) ).
fof(f1329,plain,
( e21 = h3(e11)
| ~ spl18_169 ),
inference(avatar_component_clause,[],[f1328]) ).
fof(f1348,definition,
( spl18_173
<=> e23 = h2(e11) ),
introduced(definition,[new_symbols(definition,[spl18_173])],[avatar_definition]) ).
fof(f1349,plain,
( e23 = h2(e11)
| ~ spl18_173 ),
inference(avatar_component_clause,[],[f1348]) ).
fof(f1368,definition,
( spl18_177
<=> e22 = h2(e11) ),
introduced(definition,[new_symbols(definition,[spl18_177])],[avatar_definition]) ).
fof(f1369,plain,
( e22 = h2(e11)
| ~ spl18_177 ),
inference(avatar_component_clause,[],[f1368]) ).
fof(f1388,definition,
( spl18_181
<=> e21 = h2(e11) ),
introduced(definition,[new_symbols(definition,[spl18_181])],[avatar_definition]) ).
fof(f1389,plain,
( e21 = h2(e11)
| ~ spl18_181 ),
inference(avatar_component_clause,[],[f1388]) ).
fof(f1408,definition,
( spl18_185
<=> e23 = h1(e11) ),
introduced(definition,[new_symbols(definition,[spl18_185])],[avatar_definition]) ).
fof(f1409,plain,
( e23 = h1(e11)
| ~ spl18_185 ),
inference(avatar_component_clause,[],[f1408]) ).
fof(f1428,definition,
( spl18_189
<=> e22 = h1(e11) ),
introduced(definition,[new_symbols(definition,[spl18_189])],[avatar_definition]) ).
fof(f1448,definition,
( spl18_193
<=> e21 = h1(e11) ),
introduced(definition,[new_symbols(definition,[spl18_193])],[avatar_definition]) ).
fof(f1449,plain,
( e21 = h1(e11)
| ~ spl18_193 ),
inference(avatar_component_clause,[],[f1448]) ).
fof(f1460,plain,
( spl18_13
| spl18_25
| spl18_37
| spl18_149 ),
inference(avatar_split_clause,[],[f644,f1228,f593,f541,f489]) ).
fof(f1462,plain,
( spl18_14
| spl18_26
| spl18_38
| spl18_153 ),
inference(avatar_split_clause,[],[f646,f1248,f597,f545,f493]) ).
fof(f1472,plain,
( spl18_1
| spl18_29
| spl18_41
| spl18_161 ),
inference(avatar_split_clause,[],[f652,f1288,f610,f558,f438]) ).
fof(f1473,plain,
( spl18_13
| spl18_17
| spl18_21
| spl18_161 ),
inference(avatar_split_clause,[],[f653,f1288,f524,f507,f489]) ).
fof(f1474,plain,
( spl18_2
| spl18_30
| spl18_42
| spl18_165 ),
inference(avatar_split_clause,[],[f654,f1308,f614,f562,f442]) ).
fof(f1475,plain,
( spl18_14
| spl18_18
| spl18_22
| spl18_165 ),
inference(avatar_split_clause,[],[f655,f1308,f528,f511,f493]) ).
fof(f1476,plain,
( spl18_3
| spl18_31
| spl18_43
| spl18_169 ),
inference(avatar_split_clause,[],[f656,f1328,f618,f566,f446]) ).
fof(f1479,definition,
( spl18_196
<=> e20 = h3(e11) ),
introduced(definition,[new_symbols(definition,[spl18_196])],[avatar_definition]) ).
fof(f1483,plain,
( spl18_16
| spl18_20
| spl18_24
| spl18_196 ),
inference(avatar_split_clause,[],[f659,f1479,f536,f519,f501]) ).
fof(f1485,plain,
( spl18_25
| spl18_29
| spl18_33
| spl18_173 ),
inference(avatar_split_clause,[],[f661,f1348,f576,f558,f541]) ).
fof(f1486,plain,
( spl18_6
| spl18_18
| spl18_46
| spl18_177 ),
inference(avatar_split_clause,[],[f662,f1368,f631,f511,f459]) ).
fof(f1491,definition,
( spl18_197
<=> e20 = h2(e11) ),
introduced(definition,[new_symbols(definition,[spl18_197])],[avatar_definition]) ).
fof(f1493,plain,
( e20 = h2(e11)
| ~ spl18_197 ),
inference(avatar_component_clause,[],[f1491]) ).
fof(f1496,plain,
( spl18_9
| spl18_21
| spl18_33
| spl18_185 ),
inference(avatar_split_clause,[],[f668,f1408,f576,f524,f472]) ).
fof(f1497,plain,
( spl18_37
| spl18_41
| spl18_45
| spl18_185 ),
inference(avatar_split_clause,[],[f669,f1408,f627,f610,f593]) ).
fof(f1499,plain,
( spl18_38
| spl18_42
| spl18_46
| spl18_189 ),
inference(avatar_split_clause,[],[f671,f1428,f631,f614,f597]) ).
fof(f1501,plain,
( spl18_39
| spl18_43
| spl18_47
| spl18_193 ),
inference(avatar_split_clause,[],[f673,f1448,f635,f618,f601]) ).
fof(f1503,definition,
( spl18_198
<=> e20 = h1(e11) ),
introduced(definition,[new_symbols(definition,[spl18_198])],[avatar_definition]) ).
fof(f1505,plain,
( e20 = h1(e11)
| ~ spl18_198 ),
inference(avatar_component_clause,[],[f1503]) ).
fof(f1506,plain,
( spl18_12
| spl18_24
| spl18_36
| spl18_198 ),
inference(avatar_split_clause,[],[f674,f1503,f588,f536,f484]) ).
fof(f1508,plain,
( spl18_1
| ~ spl18_153 ),
inference(avatar_split_clause,[],[f700,f1248,f438]) ).
fof(f1509,plain,
( spl18_5
| ~ spl18_157 ),
inference(avatar_split_clause,[],[f701,f1268,f455]) ).
fof(f1511,plain,
( spl18_14
| ~ spl18_161 ),
inference(avatar_split_clause,[],[f703,f1288,f493]) ).
fof(f1512,plain,
( spl18_18
| ~ spl18_169 ),
inference(avatar_split_clause,[],[f704,f1328,f511]) ).
fof(f1513,plain,
( spl18_22
| ~ spl18_196 ),
inference(avatar_split_clause,[],[f705,f1479,f528]) ).
fof(f1516,plain,
( spl18_35
| ~ spl18_197 ),
inference(avatar_split_clause,[],[f708,f1491,f584]) ).
fof(f1520,plain,
( e21 = h2(e11)
| e20 = h1(e11)
| e22 = op2(e22,e22)
| e23 = op2(e23,e23) ),
inference(forward_demodulation,[],[f712,f421]) ).
fof(f1522,definition,
( spl18_199
<=> h1(e11) = op2(e20,h1(e11)) ),
introduced(definition,[new_symbols(definition,[spl18_199])],[avatar_definition]) ).
fof(f1523,plain,
( h1(e11) = op2(e20,h1(e11))
| ~ spl18_199 ),
inference(avatar_component_clause,[],[f1522]) ).
fof(f1524,plain,
( h1(e11) != op2(e20,h1(e11))
| spl18_199 ),
inference(avatar_component_clause,[],[f1522]) ).
fof(f1525,plain,
( spl18_49
| spl18_50
| spl18_51
| ~ spl18_199 ),
inference(avatar_split_clause,[],[f740,f1522,f722,f718,f714]) ).
fof(f1532,definition,
( spl18_201
<=> h3(e11) = op2(e22,h3(e11)) ),
introduced(definition,[new_symbols(definition,[spl18_201])],[avatar_definition]) ).
fof(f1533,plain,
( h3(e11) = op2(e22,h3(e11))
| ~ spl18_201 ),
inference(avatar_component_clause,[],[f1532]) ).
fof(f1534,plain,
( h3(e11) != op2(e22,h3(e11))
| spl18_201 ),
inference(avatar_component_clause,[],[f1532]) ).
fof(f1535,plain,
( ~ spl18_50
| ~ spl18_201 ),
inference(avatar_split_clause,[],[f762,f1532,f718]) ).
fof(f1541,plain,
e22 = op2(e23,h4(e10)),
inference(forward_demodulation,[],[f789,f432]) ).
fof(f1545,plain,
( h4(e10) != h4(op1(e11,e11))
| h4(op1(e10,e13)) != op2(h4(e10),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(e11,e10)) != op2(h4(e11),h4(e10))
| 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)
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1204,f432]) ).
fof(f1558,plain,
~ spl18_147,
inference(avatar_split_clause,[],[f1217,f1219]) ).
fof(f1564,plain,
( e22 = h3(e11)
| e21 = h2(e11)
| e20 = h1(e11)
| e23 = op2(e23,e23) ),
inference(forward_demodulation,[],[f1520,f425]) ).
fof(f1568,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(e10) != h4(op1(e11,e11))
| h4(op1(e10,e13)) != op2(h4(e10),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(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| 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)
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1545,f431]) ).
fof(f1584,plain,
( e23 = h4(e11)
| e22 = h3(e11)
| e21 = h2(e11)
| e20 = h1(e11) ),
inference(forward_demodulation,[],[f1564,f429]) ).
fof(f1588,plain,
( h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(e10) != h4(op1(e11,e11))
| h4(op1(e10,e13)) != op2(h4(e10),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(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| 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(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)
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1568,f431]) ).
fof(f1604,plain,
( spl18_198
| spl18_181
| spl18_165
| spl18_149 ),
inference(avatar_split_clause,[],[f1584,f1228,f1308,f1388,f1503]) ).
fof(f1608,plain,
( h4(op1(e13,e10)) != op2(e23,h4(e10))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(e10) != h4(op1(e11,e11))
| h4(op1(e10,e13)) != op2(h4(e10),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(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| 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(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)
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1588,f431]) ).
fof(f1624,plain,
( e22 != h4(op1(e13,e10))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(e10) != h4(op1(e11,e11))
| h4(op1(e10,e13)) != op2(h4(e10),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(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| 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(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)
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1608,f1541]) ).
fof(f1640,plain,
( h4(op1(e13,e11)) != op2(e23,h4(e11))
| e22 != h4(op1(e13,e10))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(e10) != h4(op1(e11,e11))
| h4(op1(e10,e13)) != op2(h4(e10),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(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| 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(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| e20 != h4(e10)
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1624,f431]) ).
fof(f1656,plain,
( h4(op1(e13,e12)) != op2(e23,h4(e12))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| e22 != h4(op1(e13,e10))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(e10) != h4(op1(e11,e11))
| h4(op1(e10,e13)) != op2(h4(e10),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(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| 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(e13,e13)) != op2(h4(e13),h4(e13))
| e20 != h4(e10)
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1640,f431]) ).
fof(f1672,plain,
( op2(e23,e23) != h4(op1(e13,e13))
| h4(op1(e13,e12)) != op2(e23,h4(e12))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| e22 != h4(op1(e13,e10))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(e10) != h4(op1(e11,e11))
| h4(op1(e10,e13)) != op2(h4(e10),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(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| 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))
| e20 != h4(e10)
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1656,f431]) ).
fof(f1688,plain,
( h4(e11) != h4(op1(e13,e13))
| h4(op1(e13,e12)) != op2(e23,h4(e12))
| h4(op1(e13,e11)) != op2(e23,h4(e11))
| e22 != h4(op1(e13,e10))
| h4(op1(e12,e13)) != op2(h4(e12),e23)
| h4(op1(e11,e13)) != op2(h4(e11),e23)
| h4(e10) != h4(op1(e11,e11))
| h4(op1(e10,e13)) != op2(h4(e10),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(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| 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))
| e20 != h4(e10)
| sP2
| sP1
| sP0 ),
inference(forward_demodulation,[],[f1672,f429]) ).
fof(f1923,definition,
( spl18_258
<=> h4(op1(e12,e12)) = op2(h4(e12),h4(e12)) ),
introduced(definition,[new_symbols(definition,[spl18_258])],[avatar_definition]) ).
fof(f1925,plain,
( h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| spl18_258 ),
inference(avatar_component_clause,[],[f1923]) ).
fof(f1927,definition,
( spl18_259
<=> h4(op1(e12,e11)) = op2(h4(e12),h4(e11)) ),
introduced(definition,[new_symbols(definition,[spl18_259])],[avatar_definition]) ).
fof(f1929,plain,
( h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| spl18_259 ),
inference(avatar_component_clause,[],[f1927]) ).
fof(f1931,definition,
( spl18_260
<=> h4(op1(e12,e10)) = op2(h4(e12),h4(e10)) ),
introduced(definition,[new_symbols(definition,[spl18_260])],[avatar_definition]) ).
fof(f1933,plain,
( h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| spl18_260 ),
inference(avatar_component_clause,[],[f1931]) ).
fof(f1935,definition,
( spl18_261
<=> h4(op1(e11,e12)) = op2(h4(e11),h4(e12)) ),
introduced(definition,[new_symbols(definition,[spl18_261])],[avatar_definition]) ).
fof(f1937,plain,
( h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| spl18_261 ),
inference(avatar_component_clause,[],[f1935]) ).
fof(f1939,definition,
( spl18_262
<=> h4(op1(e11,e10)) = op2(h4(e11),h4(e10)) ),
introduced(definition,[new_symbols(definition,[spl18_262])],[avatar_definition]) ).
fof(f1941,plain,
( h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| spl18_262 ),
inference(avatar_component_clause,[],[f1939]) ).
fof(f1943,definition,
( spl18_263
<=> h4(op1(e10,e12)) = op2(h4(e10),h4(e12)) ),
introduced(definition,[new_symbols(definition,[spl18_263])],[avatar_definition]) ).
fof(f1945,plain,
( h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| spl18_263 ),
inference(avatar_component_clause,[],[f1943]) ).
fof(f1947,definition,
( spl18_264
<=> h4(op1(e10,e11)) = op2(h4(e10),h4(e11)) ),
introduced(definition,[new_symbols(definition,[spl18_264])],[avatar_definition]) ).
fof(f1949,plain,
( h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| spl18_264 ),
inference(avatar_component_clause,[],[f1947]) ).
fof(f1951,definition,
( spl18_265
<=> h4(op1(e10,e10)) = op2(h4(e10),h4(e10)) ),
introduced(definition,[new_symbols(definition,[spl18_265])],[avatar_definition]) ).
fof(f1953,plain,
( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| spl18_265 ),
inference(avatar_component_clause,[],[f1951]) ).
fof(f1955,definition,
( spl18_266
<=> h4(op1(e10,e13)) = op2(h4(e10),e23) ),
introduced(definition,[new_symbols(definition,[spl18_266])],[avatar_definition]) ).
fof(f1957,plain,
( h4(op1(e10,e13)) != op2(h4(e10),e23)
| spl18_266 ),
inference(avatar_component_clause,[],[f1955]) ).
fof(f1959,definition,
( spl18_267
<=> h4(e10) = h4(op1(e11,e11)) ),
introduced(definition,[new_symbols(definition,[spl18_267])],[avatar_definition]) ).
fof(f1961,plain,
( h4(e10) != h4(op1(e11,e11))
| spl18_267 ),
inference(avatar_component_clause,[],[f1959]) ).
fof(f1963,definition,
( spl18_268
<=> h4(op1(e11,e13)) = op2(h4(e11),e23) ),
introduced(definition,[new_symbols(definition,[spl18_268])],[avatar_definition]) ).
fof(f1965,plain,
( h4(op1(e11,e13)) != op2(h4(e11),e23)
| spl18_268 ),
inference(avatar_component_clause,[],[f1963]) ).
fof(f1967,definition,
( spl18_269
<=> h4(op1(e12,e13)) = op2(h4(e12),e23) ),
introduced(definition,[new_symbols(definition,[spl18_269])],[avatar_definition]) ).
fof(f1969,plain,
( h4(op1(e12,e13)) != op2(h4(e12),e23)
| spl18_269 ),
inference(avatar_component_clause,[],[f1967]) ).
fof(f1971,definition,
( spl18_270
<=> e22 = h4(op1(e13,e10)) ),
introduced(definition,[new_symbols(definition,[spl18_270])],[avatar_definition]) ).
fof(f1973,plain,
( e22 != h4(op1(e13,e10))
| spl18_270 ),
inference(avatar_component_clause,[],[f1971]) ).
fof(f1975,definition,
( spl18_271
<=> h4(op1(e13,e11)) = op2(e23,h4(e11)) ),
introduced(definition,[new_symbols(definition,[spl18_271])],[avatar_definition]) ).
fof(f1977,plain,
( h4(op1(e13,e11)) != op2(e23,h4(e11))
| spl18_271 ),
inference(avatar_component_clause,[],[f1975]) ).
fof(f1979,definition,
( spl18_272
<=> h4(op1(e13,e12)) = op2(e23,h4(e12)) ),
introduced(definition,[new_symbols(definition,[spl18_272])],[avatar_definition]) ).
fof(f1981,plain,
( h4(op1(e13,e12)) != op2(e23,h4(e12))
| spl18_272 ),
inference(avatar_component_clause,[],[f1979]) ).
fof(f1983,definition,
( spl18_273
<=> h4(e11) = h4(op1(e13,e13)) ),
introduced(definition,[new_symbols(definition,[spl18_273])],[avatar_definition]) ).
fof(f1985,plain,
( h4(e11) != h4(op1(e13,e13))
| spl18_273 ),
inference(avatar_component_clause,[],[f1983]) ).
fof(f1989,definition,
( spl18_274
<=> e20 = h4(e10) ),
introduced(definition,[new_symbols(definition,[spl18_274])],[avatar_definition]) ).
fof(f1990,plain,
( e20 = h4(e10)
| ~ spl18_274 ),
inference(avatar_component_clause,[],[f1989]) ).
fof(f1992,plain,
( spl18_147
| spl18_151
| spl18_155
| ~ spl18_274
| ~ spl18_258
| ~ spl18_259
| ~ spl18_260
| ~ spl18_261
| ~ spl18_262
| ~ spl18_263
| ~ spl18_264
| ~ spl18_265
| ~ spl18_266
| ~ spl18_267
| ~ spl18_268
| ~ spl18_269
| ~ spl18_270
| ~ spl18_271
| ~ spl18_272
| ~ spl18_273 ),
inference(avatar_split_clause,[],[f1688,f1983,f1979,f1975,f1971,f1967,f1963,f1959,f1955,f1951,f1947,f1943,f1939,f1935,f1931,f1927,f1923,f1989,f1259,f1239,f1219]) ).
fof(f2084,plain,
( e20 = e22
| ~ spl18_10
| ~ spl18_12 ),
inference(forward_demodulation,[],[f478,f486]) ).
fof(f2086,plain,
( $false
| ~ spl18_10
| ~ spl18_12 ),
inference(forward_subsumption_resolution,[],[f2084,f318]) ).
fof(f2087,plain,
( ~ spl18_10
| ~ spl18_12 ),
inference(avatar_contradiction_clause,[],[f2086]) ).
fof(f2099,plain,
( e20 = e22
| ~ spl18_14
| ~ spl18_16 ),
inference(superposition,[],[f503,f495]) ).
fof(f2103,plain,
( $false
| ~ spl18_14
| ~ spl18_16 ),
inference(forward_subsumption_resolution,[],[f2099,f318]) ).
fof(f2104,plain,
( ~ spl18_14
| ~ spl18_16 ),
inference(avatar_contradiction_clause,[],[f2103]) ).
fof(f2144,plain,
( e20 = e23
| ~ spl18_21
| ~ spl18_24 ),
inference(superposition,[],[f538,f526]) ).
fof(f2148,plain,
( $false
| ~ spl18_21
| ~ spl18_24 ),
inference(forward_subsumption_resolution,[],[f2144,f317]) ).
fof(f2149,plain,
( ~ spl18_21
| ~ spl18_24 ),
inference(avatar_contradiction_clause,[],[f2148]) ).
fof(f2178,plain,
( e22 = e23
| ~ spl18_29
| ~ spl18_30 ),
inference(superposition,[],[f564,f560]) ).
fof(f2182,plain,
( $false
| ~ spl18_29
| ~ spl18_30 ),
inference(forward_subsumption_resolution,[],[f2178,f314]) ).
fof(f2183,plain,
( ~ spl18_29
| ~ spl18_30 ),
inference(avatar_contradiction_clause,[],[f2182]) ).
fof(f2185,plain,
( e22 = e23
| ~ spl18_161
| ~ spl18_165 ),
inference(superposition,[],[f1309,f1289]) ).
fof(f2189,plain,
( $false
| ~ spl18_161
| ~ spl18_165 ),
inference(forward_subsumption_resolution,[],[f2185,f314]) ).
fof(f2190,plain,
( ~ spl18_161
| ~ spl18_165 ),
inference(avatar_contradiction_clause,[],[f2189]) ).
fof(f2222,plain,
( e20 = e23
| ~ spl18_173
| ~ spl18_197 ),
inference(superposition,[],[f1493,f1349]) ).
fof(f2226,plain,
( $false
| ~ spl18_173
| ~ spl18_197 ),
inference(forward_subsumption_resolution,[],[f2222,f317]) ).
fof(f2227,plain,
( ~ spl18_173
| ~ spl18_197 ),
inference(avatar_contradiction_clause,[],[f2226]) ).
fof(f2230,plain,
( e20 = e23
| ~ spl18_185
| ~ spl18_198 ),
inference(superposition,[],[f1505,f1409]) ).
fof(f2234,plain,
( $false
| ~ spl18_185
| ~ spl18_198 ),
inference(forward_subsumption_resolution,[],[f2230,f317]) ).
fof(f2235,plain,
( ~ spl18_185
| ~ spl18_198 ),
inference(avatar_contradiction_clause,[],[f2234]) ).
fof(f2240,plain,
( e20 != op2(e20,e20)
| ~ spl18_198
| spl18_199 ),
inference(forward_demodulation,[],[f1524,f1505]) ).
fof(f2243,plain,
( e20 != h1(e11)
| ~ spl18_198
| spl18_199 ),
inference(forward_demodulation,[],[f2240,f417]) ).
fof(f2244,plain,
( $false
| ~ spl18_198
| spl18_199 ),
inference(forward_subsumption_resolution,[],[f2243,f1505]) ).
fof(f2245,plain,
( ~ spl18_198
| spl18_199 ),
inference(avatar_contradiction_clause,[],[f2244]) ).
fof(f2247,plain,
( e21 = e23
| ~ spl18_33
| ~ spl18_35 ),
inference(forward_demodulation,[],[f578,f586]) ).
fof(f2252,plain,
( e20 = e22
| ~ spl18_177
| ~ spl18_197 ),
inference(forward_demodulation,[],[f1369,f1493]) ).
fof(f2254,plain,
( e20 = op2(e20,e20)
| ~ spl18_198
| ~ spl18_199 ),
inference(forward_demodulation,[],[f1523,f1505]) ).
fof(f2258,plain,
( $false
| ~ spl18_33
| ~ spl18_35 ),
inference(forward_subsumption_resolution,[],[f2247,f315]) ).
fof(f2259,plain,
( ~ spl18_33
| ~ spl18_35 ),
inference(avatar_contradiction_clause,[],[f2258]) ).
fof(f2264,plain,
( $false
| ~ spl18_177
| ~ spl18_197 ),
inference(forward_subsumption_resolution,[],[f2252,f318]) ).
fof(f2265,plain,
( ~ spl18_177
| ~ spl18_197 ),
inference(avatar_contradiction_clause,[],[f2264]) ).
fof(f2283,plain,
( e22 = e23
| ~ spl18_5
| ~ spl18_6 ),
inference(forward_demodulation,[],[f457,f461]) ).
fof(f2289,plain,
( $false
| ~ spl18_5
| ~ spl18_6 ),
inference(forward_subsumption_resolution,[],[f2283,f314]) ).
fof(f2290,plain,
( ~ spl18_5
| ~ spl18_6 ),
inference(avatar_contradiction_clause,[],[f2289]) ).
fof(f2291,plain,
( e21 = e23
| ~ spl18_149
| ~ spl18_157 ),
inference(superposition,[],[f1269,f1229]) ).
fof(f2295,plain,
( $false
| ~ spl18_149
| ~ spl18_157 ),
inference(forward_subsumption_resolution,[],[f2291,f315]) ).
fof(f2296,plain,
( ~ spl18_149
| ~ spl18_157 ),
inference(avatar_contradiction_clause,[],[f2295]) ).
fof(f2305,plain,
( e22 = e23
| ~ spl18_37
| ~ spl18_38 ),
inference(forward_demodulation,[],[f595,f599]) ).
fof(f2306,plain,
( $false
| ~ spl18_37
| ~ spl18_38 ),
inference(forward_subsumption_resolution,[],[f2305,f314]) ).
fof(f2307,plain,
( ~ spl18_37
| ~ spl18_38 ),
inference(avatar_contradiction_clause,[],[f2306]) ).
fof(f2310,plain,
( e21 = e23
| ~ spl18_37
| ~ spl18_39 ),
inference(forward_demodulation,[],[f595,f603]) ).
fof(f2311,plain,
( $false
| ~ spl18_37
| ~ spl18_39 ),
inference(forward_subsumption_resolution,[],[f2310,f315]) ).
fof(f2312,plain,
( ~ spl18_37
| ~ spl18_39 ),
inference(avatar_contradiction_clause,[],[f2311]) ).
fof(f2313,plain,
( e22 = e23
| ~ spl18_13
| ~ spl18_14 ),
inference(forward_demodulation,[],[f491,f495]) ).
fof(f2315,plain,
( $false
| ~ spl18_13
| ~ spl18_14 ),
inference(forward_subsumption_resolution,[],[f2313,f314]) ).
fof(f2316,plain,
( ~ spl18_13
| ~ spl18_14 ),
inference(avatar_contradiction_clause,[],[f2315]) ).
fof(f2317,plain,
( e21 = e22
| ~ spl18_38
| ~ spl18_39 ),
inference(forward_demodulation,[],[f599,f603]) ).
fof(f2321,plain,
( e22 != op2(e22,e22)
| ~ spl18_165
| spl18_201 ),
inference(forward_demodulation,[],[f1534,f1309]) ).
fof(f2323,plain,
( $false
| ~ spl18_38
| ~ spl18_39 ),
inference(forward_subsumption_resolution,[],[f2317,f316]) ).
fof(f2324,plain,
( ~ spl18_38
| ~ spl18_39 ),
inference(avatar_contradiction_clause,[],[f2323]) ).
fof(f2325,plain,
( e22 != h3(e11)
| ~ spl18_165
| spl18_201 ),
inference(forward_demodulation,[],[f2321,f425]) ).
fof(f2326,plain,
( $false
| ~ spl18_165
| spl18_201 ),
inference(forward_subsumption_resolution,[],[f2325,f1309]) ).
fof(f2327,plain,
( ~ spl18_165
| spl18_201 ),
inference(avatar_contradiction_clause,[],[f2326]) ).
fof(f2383,plain,
( e22 = e23
| ~ spl18_41
| ~ spl18_42 ),
inference(superposition,[],[f616,f612]) ).
fof(f2387,plain,
( $false
| ~ spl18_41
| ~ spl18_42 ),
inference(forward_subsumption_resolution,[],[f2383,f314]) ).
fof(f2388,plain,
( ~ spl18_41
| ~ spl18_42 ),
inference(avatar_contradiction_clause,[],[f2387]) ).
fof(f2393,plain,
( e21 = e22
| ~ spl18_42
| ~ spl18_43 ),
inference(superposition,[],[f620,f616]) ).
fof(f2397,plain,
( $false
| ~ spl18_42
| ~ spl18_43 ),
inference(forward_subsumption_resolution,[],[f2393,f316]) ).
fof(f2398,plain,
( ~ spl18_42
| ~ spl18_43 ),
inference(avatar_contradiction_clause,[],[f2397]) ).
fof(f2433,plain,
( e11 = e13
| ~ spl18_64
| ~ spl18_66 ),
inference(superposition,[],[f802,f794]) ).
fof(f2437,plain,
( $false
| ~ spl18_64
| ~ spl18_66 ),
inference(forward_subsumption_resolution,[],[f2433,f125]) ).
fof(f2438,plain,
( ~ spl18_64
| ~ spl18_66 ),
inference(avatar_contradiction_clause,[],[f2437]) ).
fof(f2446,plain,
( e12 = e13
| ~ spl18_96
| ~ spl18_97 ),
inference(forward_demodulation,[],[f930,f934]) ).
fof(f2447,plain,
( $false
| ~ spl18_96
| ~ spl18_97 ),
inference(forward_subsumption_resolution,[],[f2446,f124]) ).
fof(f2448,plain,
( ~ spl18_96
| ~ spl18_97 ),
inference(avatar_contradiction_clause,[],[f2447]) ).
fof(f2456,plain,
( e11 = e13
| ~ spl18_112
| ~ spl18_114 ),
inference(forward_demodulation,[],[f998,f1006]) ).
fof(f2459,plain,
( $false
| ~ spl18_112
| ~ spl18_114 ),
inference(forward_subsumption_resolution,[],[f2456,f125]) ).
fof(f2460,plain,
( ~ spl18_112
| ~ spl18_114 ),
inference(avatar_contradiction_clause,[],[f2459]) ).
fof(f2462,plain,
( e11 = e13
| ~ spl18_80
| ~ spl18_82 ),
inference(forward_demodulation,[],[f862,f870]) ).
fof(f2473,plain,
( $false
| ~ spl18_80
| ~ spl18_82 ),
inference(forward_subsumption_resolution,[],[f2462,f125]) ).
fof(f2474,plain,
( ~ spl18_80
| ~ spl18_82 ),
inference(avatar_contradiction_clause,[],[f2473]) ).
fof(f2476,plain,
( e10 = e13
| ~ spl18_80
| ~ spl18_83 ),
inference(forward_demodulation,[],[f862,f874]) ).
fof(f2479,plain,
( $false
| ~ spl18_80
| ~ spl18_83 ),
inference(forward_subsumption_resolution,[],[f2476,f127]) ).
fof(f2480,plain,
( ~ spl18_80
| ~ spl18_83 ),
inference(avatar_contradiction_clause,[],[f2479]) ).
fof(f2492,plain,
( e13 != op1(e11,e13)
| ~ spl18_72
| spl18_137 ),
inference(forward_demodulation,[],[f1153,f828]) ).
fof(f2493,plain,
( e12 != op1(e10,e12)
| ~ spl18_77
| spl18_138 ),
inference(forward_demodulation,[],[f1158,f849]) ).
fof(f2535,plain,
( e10 = e13
| ~ spl18_112
| ~ spl18_115 ),
inference(forward_demodulation,[],[f998,f1010]) ).
fof(f2540,plain,
( $false
| ~ spl18_112
| ~ spl18_115 ),
inference(forward_subsumption_resolution,[],[f2535,f127]) ).
fof(f2541,plain,
( ~ spl18_112
| ~ spl18_115 ),
inference(avatar_contradiction_clause,[],[f2540]) ).
fof(f2544,plain,
( e10 != op1(e10,e10)
| ~ spl18_127
| spl18_134 ),
inference(forward_demodulation,[],[f1138,f1061]) ).
fof(f2548,plain,
( $false
| ~ spl18_127
| spl18_134 ),
inference(forward_subsumption_resolution,[],[f2544,f1061]) ).
fof(f2549,plain,
( ~ spl18_127
| spl18_134 ),
inference(avatar_contradiction_clause,[],[f2548]) ).
fof(f2556,plain,
( e10 = e11
| ~ spl18_70
| ~ spl18_71 ),
inference(superposition,[],[f823,f819]) ).
fof(f2560,plain,
( $false
| ~ spl18_70
| ~ spl18_71 ),
inference(forward_subsumption_resolution,[],[f2556,f129]) ).
fof(f2561,plain,
( ~ spl18_70
| ~ spl18_71 ),
inference(avatar_contradiction_clause,[],[f2560]) ).
fof(f2563,plain,
( e12 = e13
| ~ spl18_72
| ~ spl18_73 ),
inference(superposition,[],[f832,f828]) ).
fof(f2567,plain,
( $false
| ~ spl18_72
| ~ spl18_73 ),
inference(forward_subsumption_resolution,[],[f2563,f124]) ).
fof(f2568,plain,
( ~ spl18_72
| ~ spl18_73 ),
inference(avatar_contradiction_clause,[],[f2567]) ).
fof(f2569,plain,
( e11 = e12
| ~ spl18_65
| ~ spl18_66 ),
inference(forward_demodulation,[],[f798,f802]) ).
fof(f2572,plain,
( $false
| ~ spl18_65
| ~ spl18_66 ),
inference(forward_subsumption_resolution,[],[f2569,f126]) ).
fof(f2573,plain,
( ~ spl18_65
| ~ spl18_66 ),
inference(avatar_contradiction_clause,[],[f2572]) ).
fof(f2580,plain,
( e10 = e12
| ~ spl18_121
| ~ spl18_123 ),
inference(forward_demodulation,[],[f1036,f1044]) ).
fof(f2585,plain,
( $false
| ~ spl18_121
| ~ spl18_123 ),
inference(forward_subsumption_resolution,[],[f2580,f128]) ).
fof(f2586,plain,
( ~ spl18_121
| ~ spl18_123 ),
inference(avatar_contradiction_clause,[],[f2585]) ).
fof(f2591,plain,
( e11 = e12
| ~ spl18_121
| ~ spl18_122 ),
inference(forward_demodulation,[],[f1036,f1040]) ).
fof(f2595,plain,
( $false
| ~ spl18_121
| ~ spl18_122 ),
inference(forward_subsumption_resolution,[],[f2591,f126]) ).
fof(f2596,plain,
( ~ spl18_121
| ~ spl18_122 ),
inference(avatar_contradiction_clause,[],[f2595]) ).
fof(f2599,plain,
( e10 = e12
| ~ spl18_125
| ~ spl18_127 ),
inference(forward_demodulation,[],[f1053,f1061]) ).
fof(f2601,plain,
( $false
| ~ spl18_125
| ~ spl18_127 ),
inference(forward_subsumption_resolution,[],[f2599,f128]) ).
fof(f2602,plain,
( ~ spl18_125
| ~ spl18_127 ),
inference(avatar_contradiction_clause,[],[f2601]) ).
fof(f2618,plain,
( e10 = e12
| ~ spl18_77
| ~ spl18_79 ),
inference(forward_demodulation,[],[f849,f857]) ).
fof(f2619,plain,
( ~ spl18_117
| ~ spl18_77
| spl18_138 ),
inference(avatar_split_clause,[],[f2493,f1156,f847,f1017]) ).
fof(f2624,plain,
( $false
| ~ spl18_77
| ~ spl18_79 ),
inference(forward_subsumption_resolution,[],[f2618,f128]) ).
fof(f2625,plain,
( ~ spl18_77
| ~ spl18_79 ),
inference(avatar_contradiction_clause,[],[f2624]) ).
fof(f2632,plain,
( e10 = e13
| ~ spl18_72
| ~ spl18_75 ),
inference(superposition,[],[f840,f828]) ).
fof(f2636,plain,
( $false
| ~ spl18_72
| ~ spl18_75 ),
inference(forward_subsumption_resolution,[],[f2632,f127]) ).
fof(f2637,plain,
( ~ spl18_72
| ~ spl18_75 ),
inference(avatar_contradiction_clause,[],[f2636]) ).
fof(f2639,plain,
( e10 = e13
| ~ spl18_68
| ~ spl18_71 ),
inference(superposition,[],[f823,f811]) ).
fof(f2642,plain,
( h4(e10) != op2(e23,h4(e12))
| ~ spl18_71
| spl18_272 ),
inference(superposition,[],[f1981,f823]) ).
fof(f2645,plain,
( $false
| ~ spl18_68
| ~ spl18_71 ),
inference(forward_subsumption_resolution,[],[f2639,f127]) ).
fof(f2646,plain,
( ~ spl18_68
| ~ spl18_71 ),
inference(avatar_contradiction_clause,[],[f2645]) ).
fof(f2659,plain,
( e10 = e12
| ~ spl18_97
| ~ spl18_99 ),
inference(forward_demodulation,[],[f934,f942]) ).
fof(f2660,plain,
( $false
| ~ spl18_97
| ~ spl18_99 ),
inference(forward_subsumption_resolution,[],[f2659,f128]) ).
fof(f2661,plain,
( ~ spl18_97
| ~ spl18_99 ),
inference(avatar_contradiction_clause,[],[f2660]) ).
fof(f2662,plain,
( e12 = e13
| ~ spl18_76
| ~ spl18_77 ),
inference(forward_demodulation,[],[f845,f849]) ).
fof(f2664,plain,
( ~ spl18_96
| ~ spl18_72
| spl18_137 ),
inference(avatar_split_clause,[],[f2492,f1151,f826,f928]) ).
fof(f2665,plain,
( $false
| ~ spl18_76
| ~ spl18_77 ),
inference(forward_subsumption_resolution,[],[f2662,f124]) ).
fof(f2666,plain,
( ~ spl18_76
| ~ spl18_77 ),
inference(avatar_contradiction_clause,[],[f2665]) ).
fof(f2667,plain,
( e10 = e12
| ~ spl18_69
| ~ spl18_71 ),
inference(forward_demodulation,[],[f815,f823]) ).
fof(f2668,plain,
( $false
| ~ spl18_69
| ~ spl18_71 ),
inference(forward_subsumption_resolution,[],[f2667,f128]) ).
fof(f2669,plain,
( ~ spl18_69
| ~ spl18_71 ),
inference(avatar_contradiction_clause,[],[f2668]) ).
fof(f2677,plain,
( e13 != op1(e12,e13)
| ~ spl18_100
| spl18_144 ),
inference(forward_demodulation,[],[f1188,f947]) ).
fof(f2689,plain,
( e11 = e13
| ~ spl18_72
| ~ spl18_74 ),
inference(superposition,[],[f836,f828]) ).
fof(f2693,plain,
( $false
| ~ spl18_72
| ~ spl18_74 ),
inference(forward_subsumption_resolution,[],[f2689,f125]) ).
fof(f2694,plain,
( ~ spl18_72
| ~ spl18_74 ),
inference(avatar_contradiction_clause,[],[f2693]) ).
fof(f2701,plain,
( e10 = e12
| ~ spl18_85
| ~ spl18_87 ),
inference(superposition,[],[f891,f883]) ).
fof(f2705,plain,
( $false
| ~ spl18_85
| ~ spl18_87 ),
inference(forward_subsumption_resolution,[],[f2701,f128]) ).
fof(f2706,plain,
( ~ spl18_85
| ~ spl18_87 ),
inference(avatar_contradiction_clause,[],[f2705]) ).
fof(f2729,plain,
( e12 = e13
| ~ spl18_92
| ~ spl18_93 ),
inference(superposition,[],[f917,f913]) ).
fof(f2730,plain,
( e12 = e13
| ~ spl18_92
| ~ spl18_93 ),
inference(superposition,[],[f913,f917]) ).
fof(f2731,plain,
( $false
| ~ spl18_92
| ~ spl18_93 ),
inference(forward_subsumption_resolution,[],[f2730,f124]) ).
fof(f2732,plain,
( ~ spl18_92
| ~ spl18_93 ),
inference(avatar_contradiction_clause,[],[f2731]) ).
fof(f2733,plain,
( $false
| ~ spl18_92
| ~ spl18_93 ),
inference(forward_subsumption_resolution,[],[f2729,f124]) ).
fof(f2734,plain,
( ~ spl18_92
| ~ spl18_93 ),
inference(avatar_contradiction_clause,[],[f2733]) ).
fof(f2737,plain,
( e10 = e12
| ~ spl18_105
| ~ spl18_107 ),
inference(forward_demodulation,[],[f968,f976]) ).
fof(f2739,plain,
( $false
| ~ spl18_105
| ~ spl18_107 ),
inference(forward_subsumption_resolution,[],[f2737,f128]) ).
fof(f2740,plain,
( ~ spl18_105
| ~ spl18_107 ),
inference(avatar_contradiction_clause,[],[f2739]) ).
fof(f2743,plain,
( e11 = e13
| ~ spl18_100
| ~ spl18_102 ),
inference(superposition,[],[f955,f947]) ).
fof(f2747,plain,
( $false
| ~ spl18_100
| ~ spl18_102 ),
inference(forward_subsumption_resolution,[],[f2743,f125]) ).
fof(f2748,plain,
( ~ spl18_100
| ~ spl18_102 ),
inference(avatar_contradiction_clause,[],[f2747]) ).
fof(f2750,plain,
( e11 = e13
| ~ spl18_116
| ~ spl18_118 ),
inference(forward_demodulation,[],[f1015,f1023]) ).
fof(f2752,plain,
( $false
| ~ spl18_116
| ~ spl18_118 ),
inference(forward_subsumption_resolution,[],[f2750,f125]) ).
fof(f2753,plain,
( ~ spl18_116
| ~ spl18_118 ),
inference(avatar_contradiction_clause,[],[f2752]) ).
fof(f2772,plain,
( e11 = e13
| ~ spl18_108
| ~ spl18_110 ),
inference(superposition,[],[f989,f981]) ).
fof(f2776,plain,
( $false
| ~ spl18_108
| ~ spl18_110 ),
inference(forward_subsumption_resolution,[],[f2772,f125]) ).
fof(f2777,plain,
( ~ spl18_108
| ~ spl18_110 ),
inference(avatar_contradiction_clause,[],[f2776]) ).
fof(f2778,plain,
( e10 = e13
| ~ spl18_76
| ~ spl18_79 ),
inference(forward_demodulation,[],[f845,f857]) ).
fof(f2780,plain,
( e11 != op1(e10,e11)
| ~ spl18_110
| spl18_146 ),
inference(forward_demodulation,[],[f1198,f989]) ).
fof(f2782,plain,
( $false
| ~ spl18_76
| ~ spl18_79 ),
inference(forward_subsumption_resolution,[],[f2778,f127]) ).
fof(f2783,plain,
( ~ spl18_76
| ~ spl18_79 ),
inference(avatar_contradiction_clause,[],[f2782]) ).
fof(f2784,plain,
( $false
| ~ spl18_110
| ~ spl18_122
| spl18_146 ),
inference(forward_subsumption_resolution,[],[f2780,f1040]) ).
fof(f2785,plain,
( ~ spl18_110
| ~ spl18_122
| spl18_146 ),
inference(avatar_contradiction_clause,[],[f2784]) ).
fof(f2789,plain,
( e10 = e13
| ~ spl18_124
| ~ spl18_127 ),
inference(forward_demodulation,[],[f1049,f1061]) ).
fof(f2795,plain,
( $false
| ~ spl18_124
| ~ spl18_127 ),
inference(forward_subsumption_resolution,[],[f2789,f127]) ).
fof(f2796,plain,
( ~ spl18_124
| ~ spl18_127 ),
inference(avatar_contradiction_clause,[],[f2795]) ).
fof(f2804,plain,
( e10 = e11
| ~ spl18_114
| ~ spl18_115 ),
inference(forward_demodulation,[],[f1006,f1010]) ).
fof(f2820,plain,
( $false
| ~ spl18_114
| ~ spl18_115 ),
inference(forward_subsumption_resolution,[],[f2804,f129]) ).
fof(f2821,plain,
( ~ spl18_114
| ~ spl18_115 ),
inference(avatar_contradiction_clause,[],[f2820]) ).
fof(f2832,plain,
( e12 = e13
| ~ spl18_100
| ~ spl18_101 ),
inference(forward_demodulation,[],[f947,f951]) ).
fof(f2833,plain,
( $false
| ~ spl18_80
| ~ spl18_100
| spl18_144 ),
inference(forward_subsumption_resolution,[],[f2677,f862]) ).
fof(f2834,plain,
( ~ spl18_80
| ~ spl18_100
| spl18_144 ),
inference(avatar_contradiction_clause,[],[f2833]) ).
fof(f2850,plain,
( $false
| ~ spl18_100
| ~ spl18_101 ),
inference(forward_subsumption_resolution,[],[f2832,f124]) ).
fof(f2851,plain,
( ~ spl18_100
| ~ spl18_101 ),
inference(avatar_contradiction_clause,[],[f2850]) ).
fof(f2859,plain,
( e11 = e12
| ~ spl18_109
| ~ spl18_110 ),
inference(forward_demodulation,[],[f985,f989]) ).
fof(f2863,plain,
( e10 = e13
| ~ spl18_100
| ~ spl18_103 ),
inference(forward_demodulation,[],[f947,f959]) ).
fof(f2865,plain,
( e12 != op1(e11,e12)
| ~ spl18_89
| spl18_141 ),
inference(forward_demodulation,[],[f1173,f900]) ).
fof(f2867,plain,
( $false
| ~ spl18_109
| ~ spl18_110 ),
inference(forward_subsumption_resolution,[],[f2859,f126]) ).
fof(f2868,plain,
( ~ spl18_109
| ~ spl18_110 ),
inference(avatar_contradiction_clause,[],[f2867]) ).
fof(f2869,plain,
( $false
| ~ spl18_100
| ~ spl18_103 ),
inference(forward_subsumption_resolution,[],[f2863,f127]) ).
fof(f2870,plain,
( ~ spl18_100
| ~ spl18_103 ),
inference(avatar_contradiction_clause,[],[f2869]) ).
fof(f2901,plain,
( e10 = e11
| ~ spl18_118
| ~ spl18_119 ),
inference(forward_demodulation,[],[f1023,f1027]) ).
fof(f2911,plain,
( $false
| ~ spl18_118
| ~ spl18_119 ),
inference(forward_subsumption_resolution,[],[f2901,f129]) ).
fof(f2912,plain,
( ~ spl18_118
| ~ spl18_119 ),
inference(avatar_contradiction_clause,[],[f2911]) ).
fof(f2966,plain,
( e11 != op1(e12,e11)
| ~ spl18_118
| spl18_132 ),
inference(forward_demodulation,[],[f1128,f1023]) ).
fof(f2990,plain,
( e10 = e11
| ~ spl18_66
| ~ spl18_67 ),
inference(superposition,[],[f806,f802]) ).
fof(f2994,plain,
( $false
| ~ spl18_66
| ~ spl18_67 ),
inference(forward_subsumption_resolution,[],[f2990,f129]) ).
fof(f2995,plain,
( ~ spl18_66
| ~ spl18_67 ),
inference(avatar_contradiction_clause,[],[f2994]) ).
fof(f3008,plain,
( e12 != op1(e12,e12)
| ~ spl18_85
| spl18_140 ),
inference(forward_demodulation,[],[f1168,f883]) ).
fof(f3010,plain,
( e12 = op1(e10,e12)
| ~ spl18_77
| ~ spl18_138 ),
inference(forward_demodulation,[],[f1157,f849]) ).
fof(f3017,plain,
( $false
| ~ spl18_85
| spl18_140 ),
inference(forward_subsumption_resolution,[],[f3008,f883]) ).
fof(f3018,plain,
( ~ spl18_85
| spl18_140 ),
inference(avatar_contradiction_clause,[],[f3017]) ).
fof(f3019,plain,
( e11 = e12
| ~ spl18_77
| ~ spl18_118
| ~ spl18_138 ),
inference(forward_demodulation,[],[f3010,f1023]) ).
fof(f3020,plain,
( $false
| ~ spl18_77
| ~ spl18_118
| ~ spl18_138 ),
inference(forward_subsumption_resolution,[],[f3019,f126]) ).
fof(f3021,plain,
( ~ spl18_77
| ~ spl18_118
| ~ spl18_138 ),
inference(avatar_contradiction_clause,[],[f3020]) ).
fof(f3073,plain,
( e13 != op1(e10,e13)
| ~ spl18_92
| spl18_142 ),
inference(forward_demodulation,[],[f1178,f913]) ).
fof(f3084,plain,
( e12 != op1(e12,e12)
| ~ spl18_101
| spl18_144 ),
inference(forward_demodulation,[],[f1188,f951]) ).
fof(f3090,plain,
( $false
| ~ spl18_85
| ~ spl18_101
| spl18_144 ),
inference(forward_subsumption_resolution,[],[f3084,f883]) ).
fof(f3091,plain,
( ~ spl18_85
| ~ spl18_101
| spl18_144 ),
inference(avatar_contradiction_clause,[],[f3090]) ).
fof(f3097,plain,
( e10 = e13
| ~ spl18_92
| ~ spl18_95 ),
inference(superposition,[],[f925,f913]) ).
fof(f3101,plain,
( $false
| ~ spl18_92
| ~ spl18_95 ),
inference(forward_subsumption_resolution,[],[f3097,f127]) ).
fof(f3102,plain,
( ~ spl18_92
| ~ spl18_95 ),
inference(avatar_contradiction_clause,[],[f3101]) ).
fof(f3206,plain,
( e11 = op1(e10,e11)
| ~ spl18_126
| ~ spl18_134 ),
inference(forward_demodulation,[],[f1137,f1057]) ).
fof(f3215,plain,
( e10 = e11
| ~ spl18_123
| ~ spl18_126
| ~ spl18_134 ),
inference(forward_demodulation,[],[f3206,f1044]) ).
fof(f3219,plain,
( $false
| ~ spl18_123
| ~ spl18_126
| ~ spl18_134 ),
inference(forward_subsumption_resolution,[],[f3215,f129]) ).
fof(f3220,plain,
( ~ spl18_123
| ~ spl18_126
| ~ spl18_134 ),
inference(avatar_contradiction_clause,[],[f3219]) ).
fof(f3246,plain,
( e10 = e12
| ~ spl18_81
| ~ spl18_83 ),
inference(superposition,[],[f874,f866]) ).
fof(f3251,plain,
( $false
| ~ spl18_81
| ~ spl18_83 ),
inference(forward_subsumption_resolution,[],[f3246,f128]) ).
fof(f3252,plain,
( ~ spl18_81
| ~ spl18_83 ),
inference(avatar_contradiction_clause,[],[f3251]) ).
fof(f3254,plain,
( e11 = e12
| ~ spl18_113
| ~ spl18_114 ),
inference(forward_demodulation,[],[f1002,f1006]) ).
fof(f3257,plain,
( $false
| ~ spl18_113
| ~ spl18_114 ),
inference(forward_subsumption_resolution,[],[f3254,f126]) ).
fof(f3258,plain,
( ~ spl18_113
| ~ spl18_114 ),
inference(avatar_contradiction_clause,[],[f3257]) ).
fof(f3267,plain,
( e10 = e11
| ~ spl18_106
| ~ spl18_107 ),
inference(forward_demodulation,[],[f972,f976]) ).
fof(f3291,plain,
( $false
| ~ spl18_106
| ~ spl18_107 ),
inference(forward_subsumption_resolution,[],[f3267,f129]) ).
fof(f3292,plain,
( ~ spl18_106
| ~ spl18_107 ),
inference(avatar_contradiction_clause,[],[f3291]) ).
fof(f3338,plain,
( $false
| ~ spl18_90
| ~ spl18_118
| spl18_132 ),
inference(forward_subsumption_resolution,[],[f2966,f904]) ).
fof(f3339,plain,
( ~ spl18_90
| ~ spl18_118
| spl18_132 ),
inference(avatar_contradiction_clause,[],[f3338]) ).
fof(f3340,plain,
( e11 = e13
| ~ spl18_124
| ~ spl18_126 ),
inference(forward_demodulation,[],[f1049,f1057]) ).
fof(f3362,plain,
( $false
| ~ spl18_124
| ~ spl18_126 ),
inference(forward_subsumption_resolution,[],[f3340,f125]) ).
fof(f3363,plain,
( ~ spl18_124
| ~ spl18_126 ),
inference(avatar_contradiction_clause,[],[f3362]) ).
fof(f3523,plain,
( e12 != op1(e11,e12)
| ~ spl18_121
| spl18_133 ),
inference(forward_demodulation,[],[f1133,f1036]) ).
fof(f3539,plain,
( $false
| ~ spl18_101
| ~ spl18_121
| spl18_133 ),
inference(forward_subsumption_resolution,[],[f3523,f951]) ).
fof(f3540,plain,
( ~ spl18_101
| ~ spl18_121
| spl18_133 ),
inference(avatar_contradiction_clause,[],[f3539]) ).
fof(f3603,plain,
e21 = h4(e11),
inference(superposition,[],[f429,f263]) ).
fof(f3640,plain,
( e20 != h2(e11)
| ~ spl18_20 ),
inference(superposition,[],[f695,f521]) ).
fof(f3643,plain,
( e22 != h1(e11)
| ~ spl18_10 ),
inference(superposition,[],[f697,f478]) ).
fof(f3685,plain,
( op1(e10,e10) != e12
| ~ spl18_121 ),
inference(superposition,[],[f189,f1036]) ).
fof(f3703,plain,
( e10 != op1(e10,e12)
| ~ spl18_71 ),
inference(superposition,[],[f199,f823]) ).
fof(f3710,plain,
( e10 != op1(e11,e11)
| ~ spl18_91 ),
inference(superposition,[],[f204,f908]) ).
fof(f3719,plain,
( e11 != op1(e11,e10)
| ~ spl18_94 ),
inference(superposition,[],[f210,f921]) ).
fof(f3740,plain,
( e21 != op2(e21,e20)
| ~ spl18_31 ),
inference(superposition,[],[f336,f568]) ).
fof(f3752,plain,
( e20 != op2(e21,e22)
| ~ spl18_4 ),
inference(superposition,[],[f351,f452]) ).
fof(f3758,plain,
( e23 != op2(e22,e21)
| ~ spl18_5 ),
inference(superposition,[],[f356,f457]) ).
fof(f3760,plain,
( e23 != op2(e20,e21)
| ~ spl18_5 ),
inference(superposition,[],[f359,f457]) ).
fof(f3764,plain,
( e22 != op2(e22,e20)
| ~ spl18_10 ),
inference(superposition,[],[f362,f478]) ).
fof(f3768,plain,
( e21 != op2(e21,e20)
| ~ spl18_23 ),
inference(superposition,[],[f364,f534]) ).
fof(f3769,plain,
( e20 = op2(e21,e21)
| ~ spl18_157 ),
inference(superposition,[],[f790,f1269]) ).
fof(f3773,plain,
( e20 = h2(e11)
| ~ spl18_157 ),
inference(superposition,[],[f421,f3769]) ).
fof(f3778,plain,
( e22 = e23
| ~ spl18_9
| ~ spl18_10 ),
inference(forward_demodulation,[],[f474,f478]) ).
fof(f3785,plain,
( $false
| spl18_157 ),
inference(forward_subsumption_resolution,[],[f3603,f1270]) ).
fof(f3786,plain,
spl18_157,
inference(avatar_contradiction_clause,[],[f3785]) ).
fof(f3796,plain,
( $false
| ~ spl18_9
| ~ spl18_10 ),
inference(forward_subsumption_resolution,[],[f3778,f314]) ).
fof(f3797,plain,
( ~ spl18_9
| ~ spl18_10 ),
inference(avatar_contradiction_clause,[],[f3796]) ).
fof(f3807,plain,
( e20 = e21
| ~ spl18_35
| ~ spl18_36 ),
inference(forward_demodulation,[],[f586,f590]) ).
fof(f3810,plain,
( spl18_197
| ~ spl18_157 ),
inference(avatar_split_clause,[],[f3773,f1268,f1491]) ).
fof(f3841,plain,
( $false
| ~ spl18_35
| ~ spl18_36 ),
inference(forward_subsumption_resolution,[],[f3807,f319]) ).
fof(f3842,plain,
( ~ spl18_35
| ~ spl18_36 ),
inference(avatar_contradiction_clause,[],[f3841]) ).
fof(f3855,plain,
( $false
| ~ spl18_20
| ~ spl18_197 ),
inference(forward_subsumption_resolution,[],[f3640,f1493]) ).
fof(f3856,plain,
( ~ spl18_20
| ~ spl18_197 ),
inference(avatar_contradiction_clause,[],[f3855]) ).
fof(f3858,plain,
( ~ spl18_35
| ~ spl18_23 ),
inference(avatar_split_clause,[],[f3768,f532,f584]) ).
fof(f3867,plain,
( e20 = e21
| ~ spl18_181
| ~ spl18_197 ),
inference(forward_demodulation,[],[f1389,f1493]) ).
fof(f3874,plain,
( e21 != op2(e22,e21)
| ~ spl18_43
| spl18_53 ),
inference(forward_demodulation,[],[f733,f620]) ).
fof(f3888,plain,
( $false
| ~ spl18_181
| ~ spl18_197 ),
inference(forward_subsumption_resolution,[],[f3867,f319]) ).
fof(f3889,plain,
( ~ spl18_181
| ~ spl18_197 ),
inference(avatar_contradiction_clause,[],[f3888]) ).
fof(f3900,plain,
( e21 = e23
| ~ spl18_41
| ~ spl18_43 ),
inference(forward_demodulation,[],[f612,f620]) ).
fof(f3904,plain,
( e22 = op2(e22,e22)
| ~ spl18_165
| ~ spl18_201 ),
inference(forward_demodulation,[],[f1533,f1309]) ).
fof(f3907,plain,
( ~ spl18_45
| ~ spl18_5 ),
inference(avatar_split_clause,[],[f3760,f455,f627]) ).
fof(f3912,plain,
( $false
| ~ spl18_5
| ~ spl18_17 ),
inference(forward_subsumption_resolution,[],[f3758,f509]) ).
fof(f3913,plain,
( ~ spl18_5
| ~ spl18_17 ),
inference(avatar_contradiction_clause,[],[f3912]) ).
fof(f3914,plain,
( $false
| ~ spl18_19
| ~ spl18_43
| spl18_53 ),
inference(forward_subsumption_resolution,[],[f3874,f517]) ).
fof(f3915,plain,
( ~ spl18_19
| ~ spl18_43
| spl18_53 ),
inference(avatar_contradiction_clause,[],[f3914]) ).
fof(f3919,plain,
( $false
| ~ spl18_41
| ~ spl18_43 ),
inference(forward_subsumption_resolution,[],[f3900,f315]) ).
fof(f3920,plain,
( ~ spl18_41
| ~ spl18_43 ),
inference(avatar_contradiction_clause,[],[f3919]) ).
fof(f3950,plain,
( ~ spl18_189
| ~ spl18_10 ),
inference(avatar_split_clause,[],[f3643,f476,f1428]) ).
fof(f3964,plain,
( e22 != op2(e21,e22)
| ~ spl18_18
| spl18_59 ),
inference(forward_demodulation,[],[f766,f513]) ).
fof(f3967,plain,
( $false
| ~ spl18_18
| ~ spl18_30
| spl18_59 ),
inference(forward_subsumption_resolution,[],[f3964,f564]) ).
fof(f3968,plain,
( ~ spl18_18
| ~ spl18_30
| spl18_59 ),
inference(avatar_contradiction_clause,[],[f3967]) ).
fof(f3976,plain,
( e21 = e22
| ~ spl18_165
| ~ spl18_169 ),
inference(superposition,[],[f1329,f1309]) ).
fof(f3981,plain,
( $false
| ~ spl18_165
| ~ spl18_169 ),
inference(forward_subsumption_resolution,[],[f3976,f316]) ).
fof(f3982,plain,
( ~ spl18_165
| ~ spl18_169 ),
inference(avatar_contradiction_clause,[],[f3981]) ).
fof(f3996,plain,
( e22 != op2(e23,e20)
| ~ spl18_2 ),
inference(superposition,[],[f324,f444]) ).
fof(f4018,plain,
( e21 != h4(e11)
| ~ spl18_3 ),
inference(superposition,[],[f676,f448]) ).
fof(f4022,plain,
( $false
| ~ spl18_3
| ~ spl18_157 ),
inference(forward_subsumption_resolution,[],[f4018,f1269]) ).
fof(f4023,plain,
( ~ spl18_3
| ~ spl18_157 ),
inference(avatar_contradiction_clause,[],[f4022]) ).
fof(f4030,plain,
( e23 != op2(e23,e21)
| ~ spl18_1 ),
inference(superposition,[],[f322,f440]) ).
fof(f4038,plain,
( $false
| ~ spl18_1
| ~ spl18_5 ),
inference(forward_subsumption_resolution,[],[f4030,f457]) ).
fof(f4039,plain,
( ~ spl18_1
| ~ spl18_5 ),
inference(avatar_contradiction_clause,[],[f4038]) ).
fof(f4074,plain,
( e20 != op2(e22,e20)
| ~ spl18_16 ),
inference(superposition,[],[f329,f503]) ).
fof(f4086,plain,
( e22 != op2(e20,e21)
| ~ spl18_18 ),
inference(superposition,[],[f360,f513]) ).
fof(f4089,plain,
( e22 != h3(e11)
| ~ spl18_18 ),
inference(superposition,[],[f680,f513]) ).
fof(f4093,plain,
( e23 != h1(e11)
| ~ spl18_21 ),
inference(superposition,[],[f698,f526]) ).
fof(f4096,plain,
( e23 != op2(e21,e22)
| ~ spl18_25 ),
inference(superposition,[],[f332,f543]) ).
fof(f4110,plain,
( e21 != h1(e11)
| ~ spl18_35 ),
inference(superposition,[],[f699,f586]) ).
fof(f4123,plain,
( e23 != h1(e11)
| ~ spl18_41 ),
inference(superposition,[],[f686,f612]) ).
fof(f4152,plain,
e20 = h4(e10),
inference(superposition,[],[f790,f432]) ).
fof(f4153,plain,
spl18_274,
inference(avatar_split_clause,[],[f4152,f1989]) ).
fof(f4157,plain,
( e22 = op2(e23,e20)
| ~ spl18_274 ),
inference(superposition,[],[f1541,f1990]) ).
fof(f4169,plain,
( e10 = op1(e11,e11)
| ~ spl18_66 ),
inference(superposition,[],[f132,f802]) ).
fof(f4170,plain,
( $false
| ~ spl18_66
| spl18_107 ),
inference(forward_subsumption_resolution,[],[f4169,f975]) ).
fof(f4171,plain,
( ~ spl18_66
| spl18_107 ),
inference(avatar_contradiction_clause,[],[f4170]) ).
fof(f4174,plain,
( ~ spl18_112
| ~ spl18_92
| spl18_142 ),
inference(avatar_split_clause,[],[f3073,f1176,f911,f996]) ).
fof(f4202,plain,
( $false
| ~ spl18_94
| ~ spl18_110 ),
inference(forward_subsumption_resolution,[],[f3719,f989]) ).
fof(f4203,plain,
( ~ spl18_94
| ~ spl18_110 ),
inference(avatar_contradiction_clause,[],[f4202]) ).
fof(f4204,plain,
( $false
| ~ spl18_91
| ~ spl18_107 ),
inference(forward_subsumption_resolution,[],[f3710,f976]) ).
fof(f4205,plain,
( ~ spl18_91
| ~ spl18_107 ),
inference(avatar_contradiction_clause,[],[f4204]) ).
fof(f4229,plain,
( ~ spl18_101
| ~ spl18_89
| spl18_141 ),
inference(avatar_split_clause,[],[f2865,f1171,f898,f949]) ).
fof(f4231,plain,
( e10 = e13
| ~ spl18_104
| ~ spl18_107 ),
inference(forward_demodulation,[],[f964,f976]) ).
fof(f4272,plain,
( $false
| ~ spl18_104
| ~ spl18_107 ),
inference(forward_subsumption_resolution,[],[f4231,f127]) ).
fof(f4273,plain,
( ~ spl18_104
| ~ spl18_107 ),
inference(avatar_contradiction_clause,[],[f4272]) ).
fof(f4278,plain,
( e20 != op2(e23,h4(e12))
| ~ spl18_71
| spl18_272
| ~ spl18_274 ),
inference(forward_demodulation,[],[f2642,f1990]) ).
fof(f4279,plain,
( ~ spl18_119
| ~ spl18_71 ),
inference(avatar_split_clause,[],[f3703,f821,f1025]) ).
fof(f4293,plain,
( ~ spl18_125
| ~ spl18_121 ),
inference(avatar_split_clause,[],[f3685,f1034,f1051]) ).
fof(f4312,plain,
( e10 != op1(e12,e10)
| ~ spl18_71
| spl18_136 ),
inference(forward_demodulation,[],[f1148,f823]) ).
fof(f4353,plain,
( e12 != op1(e12,e11)
| ~ spl18_85 ),
inference(superposition,[],[f174,f883]) ).
fof(f4354,plain,
( $false
| ~ spl18_85
| ~ spl18_89 ),
inference(forward_subsumption_resolution,[],[f4353,f900]) ).
fof(f4355,plain,
( ~ spl18_85
| ~ spl18_89 ),
inference(avatar_contradiction_clause,[],[f4354]) ).
fof(f4410,plain,
( e21 != op2(e20,e21)
| ~ spl18_35
| spl18_63 ),
inference(superposition,[],[f787,f586]) ).
fof(f4411,plain,
( $false
| ~ spl18_35
| ~ spl18_47
| spl18_63 ),
inference(forward_subsumption_resolution,[],[f4410,f637]) ).
fof(f4412,plain,
( ~ spl18_35
| ~ spl18_47
| spl18_63 ),
inference(avatar_contradiction_clause,[],[f4411]) ).
fof(f4414,plain,
( e23 != op2(e21,e23)
| ~ spl18_5
| spl18_56 ),
inference(forward_demodulation,[],[f750,f457]) ).
fof(f4419,plain,
( $false
| ~ spl18_5
| ~ spl18_25
| spl18_56 ),
inference(forward_subsumption_resolution,[],[f4414,f543]) ).
fof(f4420,plain,
( ~ spl18_5
| ~ spl18_25
| spl18_56 ),
inference(avatar_contradiction_clause,[],[f4419]) ).
fof(f4422,plain,
( ~ spl18_10
| ~ spl18_2 ),
inference(avatar_split_clause,[],[f3996,f442,f476]) ).
fof(f4432,plain,
( $false
| spl18_10
| ~ spl18_274 ),
inference(forward_subsumption_resolution,[],[f4157,f477]) ).
fof(f4433,plain,
( spl18_10
| ~ spl18_274 ),
inference(avatar_contradiction_clause,[],[f4432]) ).
fof(f4443,plain,
( ~ spl18_32
| ~ spl18_4 ),
inference(avatar_split_clause,[],[f3752,f450,f570]) ).
fof(f4450,plain,
( ~ spl18_22
| ~ spl18_10 ),
inference(avatar_split_clause,[],[f3764,f476,f528]) ).
fof(f4458,plain,
( $false
| ~ spl18_31
| ~ spl18_35 ),
inference(forward_subsumption_resolution,[],[f3740,f586]) ).
fof(f4459,plain,
( ~ spl18_31
| ~ spl18_35 ),
inference(avatar_contradiction_clause,[],[f4458]) ).
fof(f4472,plain,
( $false
| ~ spl18_41
| ~ spl18_185 ),
inference(forward_subsumption_resolution,[],[f4123,f1409]) ).
fof(f4473,plain,
( ~ spl18_41
| ~ spl18_185 ),
inference(avatar_contradiction_clause,[],[f4472]) ).
fof(f4475,plain,
( $false
| ~ spl18_35
| ~ spl18_193 ),
inference(forward_subsumption_resolution,[],[f4110,f1449]) ).
fof(f4476,plain,
( ~ spl18_35
| ~ spl18_193 ),
inference(avatar_contradiction_clause,[],[f4475]) ).
fof(f4489,plain,
( e22 != op2(e20,e22)
| ~ spl18_10
| spl18_57 ),
inference(forward_demodulation,[],[f755,f478]) ).
fof(f4491,plain,
( e20 != op2(e22,e20)
| ~ spl18_4
| spl18_55 ),
inference(forward_demodulation,[],[f745,f452]) ).
fof(f4497,plain,
( $false
| ~ spl18_4
| ~ spl18_24
| spl18_55 ),
inference(forward_subsumption_resolution,[],[f4491,f538]) ).
fof(f4498,plain,
( ~ spl18_4
| ~ spl18_24
| spl18_55 ),
inference(avatar_contradiction_clause,[],[f4497]) ).
fof(f4511,plain,
( $false
| ~ spl18_25
| ~ spl18_29 ),
inference(forward_subsumption_resolution,[],[f4096,f560]) ).
fof(f4512,plain,
( ~ spl18_25
| ~ spl18_29 ),
inference(avatar_contradiction_clause,[],[f4511]) ).
fof(f4573,plain,
( e23 != op2(e22,e20)
| ~ spl18_13 ),
inference(superposition,[],[f329,f491]) ).
fof(f4607,plain,
( e23 != op2(e22,e23)
| ~ spl18_29
| spl18_62 ),
inference(superposition,[],[f781,f560]) ).
fof(f4608,plain,
( $false
| ~ spl18_13
| ~ spl18_29
| spl18_62 ),
inference(forward_subsumption_resolution,[],[f4607,f491]) ).
fof(f4609,plain,
( ~ spl18_13
| ~ spl18_29
| spl18_62 ),
inference(avatar_contradiction_clause,[],[f4608]) ).
fof(f4610,plain,
( $false
| ~ spl18_18
| ~ spl18_46 ),
inference(forward_subsumption_resolution,[],[f4086,f633]) ).
fof(f4611,plain,
( ~ spl18_18
| ~ spl18_46 ),
inference(avatar_contradiction_clause,[],[f4610]) ).
fof(f4613,plain,
( $false
| ~ spl18_18
| ~ spl18_165 ),
inference(forward_subsumption_resolution,[],[f4089,f1309]) ).
fof(f4614,plain,
( ~ spl18_18
| ~ spl18_165 ),
inference(avatar_contradiction_clause,[],[f4613]) ).
fof(f4628,plain,
( ~ spl18_24
| ~ spl18_16 ),
inference(avatar_split_clause,[],[f4074,f501,f536]) ).
fof(f4632,plain,
( ~ spl18_185
| ~ spl18_21 ),
inference(avatar_split_clause,[],[f4093,f524,f1408]) ).
fof(f4657,plain,
( $false
| ~ spl18_10
| ~ spl18_42
| spl18_57 ),
inference(forward_subsumption_resolution,[],[f4489,f616]) ).
fof(f4658,plain,
( ~ spl18_10
| ~ spl18_42
| spl18_57 ),
inference(avatar_contradiction_clause,[],[f4657]) ).
fof(f4664,plain,
( e23 != op2(e20,e23)
| ~ spl18_21
| spl18_60 ),
inference(forward_demodulation,[],[f771,f526]) ).
fof(f4668,plain,
( $false
| ~ spl18_13
| ~ spl18_21 ),
inference(forward_subsumption_resolution,[],[f4573,f526]) ).
fof(f4669,plain,
( ~ spl18_13
| ~ spl18_21 ),
inference(avatar_contradiction_clause,[],[f4668]) ).
fof(f4675,plain,
( $false
| ~ spl18_21
| ~ spl18_37
| spl18_60 ),
inference(forward_subsumption_resolution,[],[f4664,f595]) ).
fof(f4676,plain,
( ~ spl18_21
| ~ spl18_37
| spl18_60 ),
inference(avatar_contradiction_clause,[],[f4675]) ).
fof(f4973,plain,
h4(e12) = op2(e23,op2(h4(e11),h4(e11))),
inference(superposition,[],[f428,f429]) ).
fof(f4976,plain,
h4(e12) = op2(e23,h4(e10)),
inference(forward_demodulation,[],[f4973,f432]) ).
fof(f4978,plain,
e22 = h4(e12),
inference(forward_demodulation,[],[f4976,f1541]) ).
fof(f4980,plain,
spl18_152,
inference(avatar_split_clause,[],[f4978,f1243]) ).
fof(f4982,plain,
( e20 != op2(e23,e22)
| ~ spl18_71
| ~ spl18_152
| spl18_272
| ~ spl18_274 ),
inference(superposition,[],[f4278,f1244]) ).
fof(f4983,plain,
( $false
| ~ spl18_4
| ~ spl18_71
| ~ spl18_152
| spl18_272
| ~ spl18_274 ),
inference(forward_subsumption_resolution,[],[f4982,f452]) ).
fof(f4984,plain,
( ~ spl18_4
| ~ spl18_71
| ~ spl18_152
| spl18_272
| ~ spl18_274 ),
inference(avatar_contradiction_clause,[],[f4983]) ).
fof(f4985,plain,
( op2(e22,e22) != h4(op1(e12,e12))
| ~ spl18_152
| spl18_258 ),
inference(forward_demodulation,[],[f1925,f1244]) ).
fof(f4987,plain,
( op2(e22,e22) != h4(e12)
| ~ spl18_85
| ~ spl18_152
| spl18_258 ),
inference(forward_demodulation,[],[f4985,f883]) ).
fof(f4989,plain,
( e22 != op2(e22,e22)
| ~ spl18_85
| ~ spl18_152
| spl18_258 ),
inference(forward_demodulation,[],[f4987,f1244]) ).
fof(f4991,plain,
( $false
| ~ spl18_85
| ~ spl18_152
| ~ spl18_165
| ~ spl18_201
| spl18_258 ),
inference(forward_subsumption_resolution,[],[f4989,f3904]) ).
fof(f4992,plain,
( ~ spl18_85
| ~ spl18_152
| ~ spl18_165
| ~ spl18_201
| spl18_258 ),
inference(avatar_contradiction_clause,[],[f4991]) ).
fof(f4994,plain,
( h4(op1(e12,e10)) != op2(h4(e12),e20)
| spl18_260
| ~ spl18_274 ),
inference(forward_demodulation,[],[f1933,f1990]) ).
fof(f4996,plain,
( op2(e22,e20) != h4(op1(e12,e10))
| ~ spl18_152
| spl18_260
| ~ spl18_274 ),
inference(forward_demodulation,[],[f4994,f1244]) ).
fof(f4998,plain,
( op2(e22,e20) != h4(e13)
| ~ spl18_92
| ~ spl18_152
| spl18_260
| ~ spl18_274 ),
inference(forward_demodulation,[],[f4996,f913]) ).
fof(f4999,plain,
( e23 != op2(e22,e20)
| ~ spl18_92
| ~ spl18_152
| spl18_260
| ~ spl18_274 ),
inference(forward_demodulation,[],[f4998,f431]) ).
fof(f5000,plain,
( $false
| ~ spl18_21
| ~ spl18_92
| ~ spl18_152
| spl18_260
| ~ spl18_274 ),
inference(forward_subsumption_resolution,[],[f4999,f526]) ).
fof(f5001,plain,
( ~ spl18_21
| ~ spl18_92
| ~ spl18_152
| spl18_260
| ~ spl18_274 ),
inference(avatar_contradiction_clause,[],[f5000]) ).
fof(f5002,plain,
( h4(op1(e12,e11)) != op2(h4(e12),e21)
| ~ spl18_157
| spl18_259 ),
inference(forward_demodulation,[],[f1929,f1269]) ).
fof(f5004,plain,
( op2(e22,e21) != h4(op1(e12,e11))
| ~ spl18_152
| ~ spl18_157
| spl18_259 ),
inference(forward_demodulation,[],[f5002,f1244]) ).
fof(f5006,plain,
( op2(e22,e21) != h4(e11)
| ~ spl18_90
| ~ spl18_152
| ~ spl18_157
| spl18_259 ),
inference(forward_demodulation,[],[f5004,f904]) ).
fof(f5008,plain,
( e21 != op2(e22,e21)
| ~ spl18_90
| ~ spl18_152
| ~ spl18_157
| spl18_259 ),
inference(forward_demodulation,[],[f5006,f1269]) ).
fof(f5010,plain,
( $false
| ~ spl18_19
| ~ spl18_90
| ~ spl18_152
| ~ spl18_157
| spl18_259 ),
inference(forward_subsumption_resolution,[],[f5008,f517]) ).
fof(f5011,plain,
( ~ spl18_19
| ~ spl18_90
| ~ spl18_152
| ~ spl18_157
| spl18_259 ),
inference(avatar_contradiction_clause,[],[f5010]) ).
fof(f5013,plain,
( h4(op1(e11,e10)) != op2(h4(e11),e20)
| spl18_262
| ~ spl18_274 ),
inference(forward_demodulation,[],[f1941,f1990]) ).
fof(f5015,plain,
( op2(e21,e20) != h4(op1(e11,e10))
| ~ spl18_157
| spl18_262
| ~ spl18_274 ),
inference(forward_demodulation,[],[f5013,f1269]) ).
fof(f5017,plain,
( op2(e21,e20) != h4(e11)
| ~ spl18_110
| ~ spl18_157
| spl18_262
| ~ spl18_274 ),
inference(forward_demodulation,[],[f5015,f989]) ).
fof(f5019,plain,
( e21 != op2(e21,e20)
| ~ spl18_110
| ~ spl18_157
| spl18_262
| ~ spl18_274 ),
inference(forward_demodulation,[],[f5017,f1269]) ).
fof(f5020,plain,
( $false
| ~ spl18_35
| ~ spl18_110
| ~ spl18_157
| spl18_262
| ~ spl18_274 ),
inference(forward_subsumption_resolution,[],[f5019,f586]) ).
fof(f5021,plain,
( ~ spl18_35
| ~ spl18_110
| ~ spl18_157
| spl18_262
| ~ spl18_274 ),
inference(avatar_contradiction_clause,[],[f5020]) ).
fof(f5022,plain,
( h4(op1(e11,e12)) != op2(h4(e11),e22)
| ~ spl18_152
| spl18_261 ),
inference(forward_demodulation,[],[f1937,f1244]) ).
fof(f5024,plain,
( op2(e21,e22) != h4(op1(e11,e12))
| ~ spl18_152
| ~ spl18_157
| spl18_261 ),
inference(forward_demodulation,[],[f5022,f1269]) ).
fof(f5026,plain,
( op2(e21,e22) != h4(e13)
| ~ spl18_100
| ~ spl18_152
| ~ spl18_157
| spl18_261 ),
inference(forward_demodulation,[],[f5024,f947]) ).
fof(f5028,plain,
( e23 != op2(e21,e22)
| ~ spl18_100
| ~ spl18_152
| ~ spl18_157
| spl18_261 ),
inference(forward_demodulation,[],[f5026,f431]) ).
fof(f5030,plain,
( $false
| ~ spl18_29
| ~ spl18_100
| ~ spl18_152
| ~ spl18_157
| spl18_261 ),
inference(forward_subsumption_resolution,[],[f5028,f560]) ).
fof(f5031,plain,
( ~ spl18_29
| ~ spl18_100
| ~ spl18_152
| ~ spl18_157
| spl18_261 ),
inference(avatar_contradiction_clause,[],[f5030]) ).
fof(f5033,plain,
( h4(op1(e10,e12)) != op2(h4(e10),e22)
| ~ spl18_152
| spl18_263 ),
inference(forward_demodulation,[],[f1945,f1244]) ).
fof(f5035,plain,
( op2(e20,e22) != h4(op1(e10,e12))
| ~ spl18_152
| spl18_263
| ~ spl18_274 ),
inference(forward_demodulation,[],[f5033,f1990]) ).
fof(f5037,plain,
( op2(e20,e22) != h4(e11)
| ~ spl18_118
| ~ spl18_152
| spl18_263
| ~ spl18_274 ),
inference(forward_demodulation,[],[f5035,f1023]) ).
fof(f5039,plain,
( e21 != op2(e20,e22)
| ~ spl18_118
| ~ spl18_152
| ~ spl18_157
| spl18_263
| ~ spl18_274 ),
inference(forward_demodulation,[],[f5037,f1269]) ).
fof(f5040,plain,
( $false
| ~ spl18_43
| ~ spl18_118
| ~ spl18_152
| ~ spl18_157
| spl18_263
| ~ spl18_274 ),
inference(forward_subsumption_resolution,[],[f5039,f620]) ).
fof(f5041,plain,
( ~ spl18_43
| ~ spl18_118
| ~ spl18_152
| ~ spl18_157
| spl18_263
| ~ spl18_274 ),
inference(avatar_contradiction_clause,[],[f5040]) ).
fof(f5043,plain,
( op2(e20,e20) != h4(op1(e10,e10))
| spl18_265
| ~ spl18_274 ),
inference(forward_demodulation,[],[f1953,f1990]) ).
fof(f5045,plain,
( op2(e20,e20) != h4(e10)
| ~ spl18_127
| spl18_265
| ~ spl18_274 ),
inference(forward_demodulation,[],[f5043,f1061]) ).
fof(f5047,plain,
( e20 != op2(e20,e20)
| ~ spl18_127
| spl18_265
| ~ spl18_274 ),
inference(forward_demodulation,[],[f5045,f1990]) ).
fof(f5049,plain,
( $false
| ~ spl18_127
| ~ spl18_198
| ~ spl18_199
| spl18_265
| ~ spl18_274 ),
inference(forward_subsumption_resolution,[],[f5047,f2254]) ).
fof(f5050,plain,
( ~ spl18_127
| ~ spl18_198
| ~ spl18_199
| spl18_265
| ~ spl18_274 ),
inference(avatar_contradiction_clause,[],[f5049]) ).
fof(f5051,plain,
( h4(op1(e10,e11)) != op2(h4(e10),e21)
| ~ spl18_157
| spl18_264 ),
inference(forward_demodulation,[],[f1949,f1269]) ).
fof(f5053,plain,
( op2(e20,e21) != h4(op1(e10,e11))
| ~ spl18_157
| spl18_264
| ~ spl18_274 ),
inference(forward_demodulation,[],[f5051,f1990]) ).
fof(f5055,plain,
( op2(e20,e21) != h4(e12)
| ~ spl18_121
| ~ spl18_157
| spl18_264
| ~ spl18_274 ),
inference(forward_demodulation,[],[f5053,f1036]) ).
fof(f5057,plain,
( e22 != op2(e20,e21)
| ~ spl18_121
| ~ spl18_152
| ~ spl18_157
| spl18_264
| ~ spl18_274 ),
inference(forward_demodulation,[],[f5055,f1244]) ).
fof(f5058,plain,
( $false
| ~ spl18_46
| ~ spl18_121
| ~ spl18_152
| ~ spl18_157
| spl18_264
| ~ spl18_274 ),
inference(forward_subsumption_resolution,[],[f5057,f633]) ).
fof(f5059,plain,
( ~ spl18_46
| ~ spl18_121
| ~ spl18_152
| ~ spl18_157
| spl18_264
| ~ spl18_274 ),
inference(avatar_contradiction_clause,[],[f5058]) ).
fof(f5061,plain,
( h4(e10) != h4(e10)
| ~ spl18_107
| spl18_267 ),
inference(forward_demodulation,[],[f1961,f976]) ).
fof(f5062,plain,
( $false
| ~ spl18_107
| spl18_267 ),
inference(trivial_inequality_removal,[],[f5061]) ).
fof(f5063,plain,
( ~ spl18_107
| spl18_267 ),
inference(avatar_contradiction_clause,[],[f5062]) ).
fof(f5067,plain,
( op2(e20,e23) != h4(op1(e10,e13))
| spl18_266
| ~ spl18_274 ),
inference(forward_demodulation,[],[f1957,f1990]) ).
fof(f5068,plain,
( op2(e20,e23) != h4(e13)
| ~ spl18_112
| spl18_266
| ~ spl18_274 ),
inference(forward_demodulation,[],[f5067,f998]) ).
fof(f5069,plain,
( e23 != op2(e20,e23)
| ~ spl18_112
| spl18_266
| ~ spl18_274 ),
inference(forward_demodulation,[],[f5068,f431]) ).
fof(f5070,plain,
( $false
| ~ spl18_37
| ~ spl18_112
| spl18_266
| ~ spl18_274 ),
inference(forward_subsumption_resolution,[],[f5069,f595]) ).
fof(f5071,plain,
( ~ spl18_37
| ~ spl18_112
| spl18_266
| ~ spl18_274 ),
inference(avatar_contradiction_clause,[],[f5070]) ).
fof(f5073,plain,
( op2(e22,e23) != h4(op1(e12,e13))
| ~ spl18_152
| spl18_269 ),
inference(forward_demodulation,[],[f1969,f1244]) ).
fof(f5075,plain,
( op2(e22,e23) != h4(e10)
| ~ spl18_83
| ~ spl18_152
| spl18_269 ),
inference(forward_demodulation,[],[f5073,f874]) ).
fof(f5077,plain,
( e20 != op2(e22,e23)
| ~ spl18_83
| ~ spl18_152
| spl18_269
| ~ spl18_274 ),
inference(forward_demodulation,[],[f5075,f1990]) ).
fof(f5078,plain,
( $false
| ~ spl18_16
| ~ spl18_83
| ~ spl18_152
| spl18_269
| ~ spl18_274 ),
inference(forward_subsumption_resolution,[],[f5077,f503]) ).
fof(f5079,plain,
( ~ spl18_16
| ~ spl18_83
| ~ spl18_152
| spl18_269
| ~ spl18_274 ),
inference(avatar_contradiction_clause,[],[f5078]) ).
fof(f5080,plain,
( op2(e21,e23) != h4(op1(e11,e13))
| ~ spl18_157
| spl18_268 ),
inference(forward_demodulation,[],[f1965,f1269]) ).
fof(f5082,plain,
( op2(e21,e23) != h4(e12)
| ~ spl18_97
| ~ spl18_157
| spl18_268 ),
inference(forward_demodulation,[],[f5080,f934]) ).
fof(f5084,plain,
( e22 != op2(e21,e23)
| ~ spl18_97
| ~ spl18_152
| ~ spl18_157
| spl18_268 ),
inference(forward_demodulation,[],[f5082,f1244]) ).
fof(f5086,plain,
( $false
| ~ spl18_26
| ~ spl18_97
| ~ spl18_152
| ~ spl18_157
| spl18_268 ),
inference(forward_subsumption_resolution,[],[f5084,f547]) ).
fof(f5087,plain,
( ~ spl18_26
| ~ spl18_97
| ~ spl18_152
| ~ spl18_157
| spl18_268 ),
inference(avatar_contradiction_clause,[],[f5086]) ).
fof(f5089,plain,
( e22 != h4(e12)
| ~ spl18_77
| spl18_270 ),
inference(forward_demodulation,[],[f1973,f849]) ).
fof(f5091,plain,
( $false
| ~ spl18_77
| ~ spl18_152
| spl18_270 ),
inference(forward_subsumption_resolution,[],[f5089,f1244]) ).
fof(f5092,plain,
( ~ spl18_77
| ~ spl18_152
| spl18_270 ),
inference(avatar_contradiction_clause,[],[f5091]) ).
fof(f5095,plain,
( h4(e11) != h4(e11)
| ~ spl18_66
| spl18_273 ),
inference(forward_demodulation,[],[f1985,f802]) ).
fof(f5096,plain,
( $false
| ~ spl18_66
| spl18_273 ),
inference(trivial_inequality_removal,[],[f5095]) ).
fof(f5097,plain,
( ~ spl18_66
| spl18_273 ),
inference(avatar_contradiction_clause,[],[f5096]) ).
fof(f5098,plain,
( op2(e23,e21) != h4(op1(e13,e11))
| ~ spl18_157
| spl18_271 ),
inference(forward_demodulation,[],[f1977,f1269]) ).
fof(f5099,plain,
( op2(e23,e21) != h4(e13)
| ~ spl18_72
| ~ spl18_157
| spl18_271 ),
inference(forward_demodulation,[],[f5098,f828]) ).
fof(f5100,plain,
( e23 != op2(e23,e21)
| ~ spl18_72
| ~ spl18_157
| spl18_271 ),
inference(forward_demodulation,[],[f5099,f431]) ).
fof(f5101,plain,
( $false
| ~ spl18_5
| ~ spl18_72
| ~ spl18_157
| spl18_271 ),
inference(forward_subsumption_resolution,[],[f5100,f457]) ).
fof(f5102,plain,
( ~ spl18_5
| ~ spl18_72
| ~ spl18_157
| spl18_271 ),
inference(avatar_contradiction_clause,[],[f5101]) ).
fof(f5125,plain,
( $false
| ~ spl18_71
| ~ spl18_95
| spl18_136 ),
inference(forward_subsumption_resolution,[],[f4312,f925]) ).
fof(f5126,plain,
( ~ spl18_71
| ~ spl18_95
| spl18_136 ),
inference(avatar_contradiction_clause,[],[f5125]) ).
cnf(s1,plain,
( spl18_1
| spl18_2
| spl18_3
| spl18_4 ),
inference(sat_conversion,[],[f453]) ).
cnf(s5,plain,
( spl18_17
| spl18_18
| spl18_19
| spl18_20 ),
inference(sat_conversion,[],[f522]) ).
cnf(s6,plain,
( spl18_21
| spl18_22
| spl18_23
| spl18_24 ),
inference(sat_conversion,[],[f539]) ).
cnf(s8,plain,
( spl18_29
| spl18_30
| spl18_31
| spl18_32 ),
inference(sat_conversion,[],[f573]) ).
cnf(s14,plain,
( spl18_49
| spl18_50
| spl18_51
| ~ spl18_53 ),
inference(sat_conversion,[],[f734]) ).
cnf(s16,plain,
( ~ spl18_49
| ~ spl18_55 ),
inference(sat_conversion,[],[f746]) ).
cnf(s17,plain,
( ~ spl18_49
| ~ spl18_56 ),
inference(sat_conversion,[],[f751]) ).
cnf(s18,plain,
( ~ spl18_49
| ~ spl18_57 ),
inference(sat_conversion,[],[f756]) ).
cnf(s20,plain,
( ~ spl18_50
| ~ spl18_59 ),
inference(sat_conversion,[],[f767]) ).
cnf(s21,plain,
( ~ spl18_50
| ~ spl18_60 ),
inference(sat_conversion,[],[f772]) ).
cnf(s23,plain,
( ~ spl18_51
| ~ spl18_62 ),
inference(sat_conversion,[],[f782]) ).
cnf(s24,plain,
( ~ spl18_51
| ~ spl18_63 ),
inference(sat_conversion,[],[f788]) ).
cnf(s40,plain,
( spl18_124
| spl18_125
| spl18_126
| spl18_127 ),
inference(sat_conversion,[],[f1062]) ).
cnf(s41,plain,
( spl18_64
| spl18_80
| spl18_96
| spl18_112 ),
inference(sat_conversion,[],[f1063]) ).
cnf(s43,plain,
( spl18_65
| spl18_81
| spl18_97
| spl18_113 ),
inference(sat_conversion,[],[f1065]) ).
cnf(s44,plain,
( spl18_65
| spl18_69
| spl18_73
| spl18_77 ),
inference(sat_conversion,[],[f1066]) ).
cnf(s47,plain,
( spl18_67
| spl18_83
| spl18_99
| spl18_115 ),
inference(sat_conversion,[],[f1069]) ).
cnf(s48,plain,
( spl18_67
| spl18_71
| spl18_75
| spl18_79 ),
inference(sat_conversion,[],[f1070]) ).
cnf(s49,plain,
( spl18_68
| spl18_84
| spl18_100
| spl18_116 ),
inference(sat_conversion,[],[f1071]) ).
cnf(s51,plain,
( spl18_69
| spl18_85
| spl18_101
| spl18_117 ),
inference(sat_conversion,[],[f1073]) ).
cnf(s52,plain,
( spl18_81
| spl18_85
| spl18_89
| spl18_93 ),
inference(sat_conversion,[],[f1074]) ).
cnf(s53,plain,
( spl18_70
| spl18_86
| spl18_102
| spl18_118 ),
inference(sat_conversion,[],[f1075]) ).
cnf(s54,plain,
( spl18_82
| spl18_86
| spl18_90
| spl18_94 ),
inference(sat_conversion,[],[f1076]) ).
cnf(s55,plain,
( spl18_71
| spl18_87
| spl18_103
| spl18_119 ),
inference(sat_conversion,[],[f1077]) ).
cnf(s56,plain,
( spl18_83
| spl18_87
| spl18_91
| spl18_95 ),
inference(sat_conversion,[],[f1078]) ).
cnf(s58,plain,
( spl18_96
| spl18_100
| spl18_104
| spl18_108 ),
inference(sat_conversion,[],[f1080]) ).
cnf(s59,plain,
( spl18_73
| spl18_89
| spl18_105
| spl18_121 ),
inference(sat_conversion,[],[f1081]) ).
cnf(s60,plain,
( spl18_97
| spl18_101
| spl18_105
| spl18_109 ),
inference(sat_conversion,[],[f1082]) ).
cnf(s61,plain,
( spl18_74
| spl18_90
| spl18_106
| spl18_122 ),
inference(sat_conversion,[],[f1083]) ).
cnf(s65,plain,
( spl18_76
| spl18_92
| spl18_108
| spl18_124 ),
inference(sat_conversion,[],[f1087]) ).
cnf(s67,plain,
( spl18_77
| spl18_93
| spl18_109
| spl18_125 ),
inference(sat_conversion,[],[f1089]) ).
cnf(s70,plain,
( spl18_114
| spl18_118
| spl18_122
| spl18_126 ),
inference(sat_conversion,[],[f1092]) ).
cnf(s72,plain,
( spl18_115
| spl18_119
| spl18_123
| spl18_127 ),
inference(sat_conversion,[],[f1094]) ).
cnf(s74,plain,
( ~ spl18_66
| spl18_72 ),
inference(sat_conversion,[],[f1096]) ).
cnf(s76,plain,
( spl18_81
| ~ spl18_84 ),
inference(sat_conversion,[],[f1098]) ).
cnf(s77,plain,
( ~ spl18_86
| spl18_89 ),
inference(sat_conversion,[],[f1099]) ).
cnf(s78,plain,
( ~ spl18_87
| spl18_93 ),
inference(sat_conversion,[],[f1100]) ).
cnf(s81,plain,
( ~ spl18_107
| spl18_110 ),
inference(sat_conversion,[],[f1103]) ).
cnf(s82,plain,
( spl18_115
| ~ spl18_124 ),
inference(sat_conversion,[],[f1104]) ).
cnf(s84,plain,
( spl18_123
| ~ spl18_126 ),
inference(sat_conversion,[],[f1106]) ).
cnf(s85,plain,
( spl18_64
| spl18_85
| spl18_106
| spl18_127 ),
inference(sat_conversion,[],[f1107]) ).
cnf(s87,plain,
( spl18_128
| spl18_129
| spl18_130
| ~ spl18_132 ),
inference(sat_conversion,[],[f1129]) ).
cnf(s88,plain,
( spl18_128
| spl18_129
| spl18_130
| ~ spl18_133 ),
inference(sat_conversion,[],[f1134]) ).
cnf(s89,plain,
( spl18_128
| spl18_129
| spl18_130
| ~ spl18_134 ),
inference(sat_conversion,[],[f1139]) ).
cnf(s91,plain,
( ~ spl18_128
| ~ spl18_136 ),
inference(sat_conversion,[],[f1149]) ).
cnf(s92,plain,
( ~ spl18_128
| ~ spl18_137 ),
inference(sat_conversion,[],[f1154]) ).
cnf(s93,plain,
( ~ spl18_128
| ~ spl18_138 ),
inference(sat_conversion,[],[f1159]) ).
cnf(s95,plain,
( ~ spl18_129
| ~ spl18_140 ),
inference(sat_conversion,[],[f1169]) ).
cnf(s96,plain,
( ~ spl18_129
| ~ spl18_141 ),
inference(sat_conversion,[],[f1174]) ).
cnf(s97,plain,
( ~ spl18_129
| ~ spl18_142 ),
inference(sat_conversion,[],[f1179]) ).
cnf(s99,plain,
( ~ spl18_130
| ~ spl18_144 ),
inference(sat_conversion,[],[f1189]) ).
cnf(s101,plain,
( ~ spl18_130
| ~ spl18_146 ),
inference(sat_conversion,[],[f1199]) ).
cnf(s102,plain,
spl18_66,
inference(sat_conversion,[],[f1200]) ).
cnf(s106,plain,
( ~ spl18_151
| ~ spl18_152 ),
inference(sat_conversion,[],[f1246]) ).
cnf(s110,plain,
( ~ spl18_155
| ~ spl18_157 ),
inference(sat_conversion,[],[f1271]) ).
cnf(s139,plain,
( spl18_13
| spl18_25
| spl18_37
| spl18_149 ),
inference(sat_conversion,[],[f1460]) ).
cnf(s141,plain,
( spl18_14
| spl18_26
| spl18_38
| spl18_153 ),
inference(sat_conversion,[],[f1462]) ).
cnf(s147,plain,
( spl18_1
| spl18_29
| spl18_41
| spl18_161 ),
inference(sat_conversion,[],[f1472]) ).
cnf(s148,plain,
( spl18_13
| spl18_17
| spl18_21
| spl18_161 ),
inference(sat_conversion,[],[f1473]) ).
cnf(s149,plain,
( spl18_2
| spl18_30
| spl18_42
| spl18_165 ),
inference(sat_conversion,[],[f1474]) ).
cnf(s150,plain,
( spl18_14
| spl18_18
| spl18_22
| spl18_165 ),
inference(sat_conversion,[],[f1475]) ).
cnf(s151,plain,
( spl18_3
| spl18_31
| spl18_43
| spl18_169 ),
inference(sat_conversion,[],[f1476]) ).
cnf(s154,plain,
( spl18_16
| spl18_20
| spl18_24
| spl18_196 ),
inference(sat_conversion,[],[f1483]) ).
cnf(s156,plain,
( spl18_25
| spl18_29
| spl18_33
| spl18_173 ),
inference(sat_conversion,[],[f1485]) ).
cnf(s157,plain,
( spl18_6
| spl18_18
| spl18_46
| spl18_177 ),
inference(sat_conversion,[],[f1486]) ).
cnf(s163,plain,
( spl18_9
| spl18_21
| spl18_33
| spl18_185 ),
inference(sat_conversion,[],[f1496]) ).
cnf(s164,plain,
( spl18_37
| spl18_41
| spl18_45
| spl18_185 ),
inference(sat_conversion,[],[f1497]) ).
cnf(s166,plain,
( spl18_38
| spl18_42
| spl18_46
| spl18_189 ),
inference(sat_conversion,[],[f1499]) ).
cnf(s168,plain,
( spl18_39
| spl18_43
| spl18_47
| spl18_193 ),
inference(sat_conversion,[],[f1501]) ).
cnf(s169,plain,
( spl18_12
| spl18_24
| spl18_36
| spl18_198 ),
inference(sat_conversion,[],[f1506]) ).
cnf(s171,plain,
( spl18_1
| ~ spl18_153 ),
inference(sat_conversion,[],[f1508]) ).
cnf(s172,plain,
( spl18_5
| ~ spl18_157 ),
inference(sat_conversion,[],[f1509]) ).
cnf(s174,plain,
( spl18_14
| ~ spl18_161 ),
inference(sat_conversion,[],[f1511]) ).
cnf(s175,plain,
( spl18_18
| ~ spl18_169 ),
inference(sat_conversion,[],[f1512]) ).
cnf(s176,plain,
( spl18_22
| ~ spl18_196 ),
inference(sat_conversion,[],[f1513]) ).
cnf(s179,plain,
( spl18_35
| ~ spl18_197 ),
inference(sat_conversion,[],[f1516]) ).
cnf(s183,plain,
( spl18_49
| spl18_50
| spl18_51
| ~ spl18_199 ),
inference(sat_conversion,[],[f1525]) ).
cnf(s185,plain,
( ~ spl18_50
| ~ spl18_201 ),
inference(sat_conversion,[],[f1535]) ).
cnf(s187,plain,
~ spl18_147,
inference(sat_conversion,[],[f1558]) ).
cnf(s193,plain,
( spl18_149
| spl18_165
| spl18_181
| spl18_198 ),
inference(sat_conversion,[],[f1604]) ).
cnf(s205,plain,
( spl18_147
| spl18_151
| spl18_155
| ~ spl18_258
| ~ spl18_259
| ~ spl18_260
| ~ spl18_261
| ~ spl18_262
| ~ spl18_263
| ~ spl18_264
| ~ spl18_265
| ~ spl18_266
| ~ spl18_267
| ~ spl18_268
| ~ spl18_269
| ~ spl18_270
| ~ spl18_271
| ~ spl18_272
| ~ spl18_273
| ~ spl18_274 ),
inference(sat_conversion,[],[f1992]) ).
cnf(s220,plain,
( ~ spl18_10
| ~ spl18_12 ),
inference(sat_conversion,[],[f2087]) ).
cnf(s224,plain,
( ~ spl18_14
| ~ spl18_16 ),
inference(sat_conversion,[],[f2104]) ).
cnf(s236,plain,
( ~ spl18_21
| ~ spl18_24 ),
inference(sat_conversion,[],[f2149]) ).
cnf(s244,plain,
( ~ spl18_29
| ~ spl18_30 ),
inference(sat_conversion,[],[f2183]) ).
cnf(s246,plain,
( ~ spl18_161
| ~ spl18_165 ),
inference(sat_conversion,[],[f2190]) ).
cnf(s255,plain,
( ~ spl18_173
| ~ spl18_197 ),
inference(sat_conversion,[],[f2227]) ).
cnf(s257,plain,
( ~ spl18_185
| ~ spl18_198 ),
inference(sat_conversion,[],[f2235]) ).
cnf(s259,plain,
( ~ spl18_198
| spl18_199 ),
inference(sat_conversion,[],[f2245]) ).
cnf(s260,plain,
( ~ spl18_33
| ~ spl18_35 ),
inference(sat_conversion,[],[f2259]) ).
cnf(s262,plain,
( ~ spl18_177
| ~ spl18_197 ),
inference(sat_conversion,[],[f2265]) ).
cnf(s265,plain,
( ~ spl18_5
| ~ spl18_6 ),
inference(sat_conversion,[],[f2290]) ).
cnf(s267,plain,
( ~ spl18_149
| ~ spl18_157 ),
inference(sat_conversion,[],[f2296]) ).
cnf(s269,plain,
( ~ spl18_37
| ~ spl18_38 ),
inference(sat_conversion,[],[f2307]) ).
cnf(s270,plain,
( ~ spl18_37
| ~ spl18_39 ),
inference(sat_conversion,[],[f2312]) ).
cnf(s271,plain,
( ~ spl18_13
| ~ spl18_14 ),
inference(sat_conversion,[],[f2316]) ).
cnf(s273,plain,
( ~ spl18_38
| ~ spl18_39 ),
inference(sat_conversion,[],[f2324]) ).
cnf(s274,plain,
( ~ spl18_165
| spl18_201 ),
inference(sat_conversion,[],[f2327]) ).
cnf(s280,plain,
( ~ spl18_41
| ~ spl18_42 ),
inference(sat_conversion,[],[f2388]) ).
cnf(s282,plain,
( ~ spl18_42
| ~ spl18_43 ),
inference(sat_conversion,[],[f2398]) ).
cnf(s292,plain,
( ~ spl18_64
| ~ spl18_66 ),
inference(sat_conversion,[],[f2438]) ).
cnf(s294,plain,
( ~ spl18_96
| ~ spl18_97 ),
inference(sat_conversion,[],[f2448]) ).
cnf(s297,plain,
( ~ spl18_112
| ~ spl18_114 ),
inference(sat_conversion,[],[f2460]) ).
cnf(s298,plain,
( ~ spl18_80
| ~ spl18_82 ),
inference(sat_conversion,[],[f2474]) ).
cnf(s299,plain,
( ~ spl18_80
| ~ spl18_83 ),
inference(sat_conversion,[],[f2480]) ).
cnf(s310,plain,
( ~ spl18_112
| ~ spl18_115 ),
inference(sat_conversion,[],[f2541]) ).
cnf(s311,plain,
( ~ spl18_127
| spl18_134 ),
inference(sat_conversion,[],[f2549]) ).
cnf(s314,plain,
( ~ spl18_70
| ~ spl18_71 ),
inference(sat_conversion,[],[f2561]) ).
cnf(s316,plain,
( ~ spl18_72
| ~ spl18_73 ),
inference(sat_conversion,[],[f2568]) ).
cnf(s317,plain,
( ~ spl18_65
| ~ spl18_66 ),
inference(sat_conversion,[],[f2573]) ).
cnf(s320,plain,
( ~ spl18_121
| ~ spl18_123 ),
inference(sat_conversion,[],[f2586]) ).
cnf(s322,plain,
( ~ spl18_121
| ~ spl18_122 ),
inference(sat_conversion,[],[f2596]) ).
cnf(s324,plain,
( ~ spl18_125
| ~ spl18_127 ),
inference(sat_conversion,[],[f2602]) ).
cnf(s328,plain,
( ~ spl18_77
| ~ spl18_117
| spl18_138 ),
inference(sat_conversion,[],[f2619]) ).
cnf(s329,plain,
( ~ spl18_77
| ~ spl18_79 ),
inference(sat_conversion,[],[f2625]) ).
cnf(s332,plain,
( ~ spl18_72
| ~ spl18_75 ),
inference(sat_conversion,[],[f2637]) ).
cnf(s334,plain,
( ~ spl18_68
| ~ spl18_71 ),
inference(sat_conversion,[],[f2646]) ).
cnf(s337,plain,
( ~ spl18_97
| ~ spl18_99 ),
inference(sat_conversion,[],[f2661]) ).
cnf(s339,plain,
( ~ spl18_72
| ~ spl18_96
| spl18_137 ),
inference(sat_conversion,[],[f2664]) ).
cnf(s340,plain,
( ~ spl18_76
| ~ spl18_77 ),
inference(sat_conversion,[],[f2666]) ).
cnf(s341,plain,
( ~ spl18_69
| ~ spl18_71 ),
inference(sat_conversion,[],[f2669]) ).
cnf(s344,plain,
( ~ spl18_72
| ~ spl18_74 ),
inference(sat_conversion,[],[f2694]) ).
cnf(s346,plain,
( ~ spl18_85
| ~ spl18_87 ),
inference(sat_conversion,[],[f2706]) ).
cnf(s349,plain,
( ~ spl18_92
| ~ spl18_93 ),
inference(sat_conversion,[],[f2732]) ).
cnf(s350,plain,
( ~ spl18_92
| ~ spl18_93 ),
inference(sat_conversion,[],[f2734]) ).
cnf(s351,plain,
( ~ spl18_105
| ~ spl18_107 ),
inference(sat_conversion,[],[f2740]) ).
cnf(s353,plain,
( ~ spl18_100
| ~ spl18_102 ),
inference(sat_conversion,[],[f2748]) ).
cnf(s354,plain,
( ~ spl18_116
| ~ spl18_118 ),
inference(sat_conversion,[],[f2753]) ).
cnf(s360,plain,
( ~ spl18_108
| ~ spl18_110 ),
inference(sat_conversion,[],[f2777]) ).
cnf(s361,plain,
( ~ spl18_76
| ~ spl18_79 ),
inference(sat_conversion,[],[f2783]) ).
cnf(s362,plain,
( ~ spl18_110
| ~ spl18_122
| spl18_146 ),
inference(sat_conversion,[],[f2785]) ).
cnf(s364,plain,
( ~ spl18_124
| ~ spl18_127 ),
inference(sat_conversion,[],[f2796]) ).
cnf(s368,plain,
( ~ spl18_114
| ~ spl18_115 ),
inference(sat_conversion,[],[f2821]) ).
cnf(s370,plain,
( ~ spl18_80
| ~ spl18_100
| spl18_144 ),
inference(sat_conversion,[],[f2834]) ).
cnf(s372,plain,
( ~ spl18_100
| ~ spl18_101 ),
inference(sat_conversion,[],[f2851]) ).
cnf(s373,plain,
( ~ spl18_109
| ~ spl18_110 ),
inference(sat_conversion,[],[f2868]) ).
cnf(s374,plain,
( ~ spl18_100
| ~ spl18_103 ),
inference(sat_conversion,[],[f2870]) ).
cnf(s381,plain,
( ~ spl18_118
| ~ spl18_119 ),
inference(sat_conversion,[],[f2912]) ).
cnf(s391,plain,
( ~ spl18_66
| ~ spl18_67 ),
inference(sat_conversion,[],[f2995]) ).
cnf(s394,plain,
( ~ spl18_85
| spl18_140 ),
inference(sat_conversion,[],[f3018]) ).
cnf(s395,plain,
( ~ spl18_77
| ~ spl18_118
| ~ spl18_138 ),
inference(sat_conversion,[],[f3021]) ).
cnf(s404,plain,
( ~ spl18_85
| ~ spl18_101
| spl18_144 ),
inference(sat_conversion,[],[f3091]) ).
cnf(s406,plain,
( ~ spl18_92
| ~ spl18_95 ),
inference(sat_conversion,[],[f3102]) ).
cnf(s416,plain,
( ~ spl18_123
| ~ spl18_126
| ~ spl18_134 ),
inference(sat_conversion,[],[f3220]) ).
cnf(s418,plain,
( ~ spl18_81
| ~ spl18_83 ),
inference(sat_conversion,[],[f3252]) ).
cnf(s419,plain,
( ~ spl18_113
| ~ spl18_114 ),
inference(sat_conversion,[],[f3258]) ).
cnf(s423,plain,
( ~ spl18_106
| ~ spl18_107 ),
inference(sat_conversion,[],[f3292]) ).
cnf(s431,plain,
( ~ spl18_90
| ~ spl18_118
| spl18_132 ),
inference(sat_conversion,[],[f3339]) ).
cnf(s436,plain,
( ~ spl18_124
| ~ spl18_126 ),
inference(sat_conversion,[],[f3363]) ).
cnf(s456,plain,
( ~ spl18_101
| ~ spl18_121
| spl18_133 ),
inference(sat_conversion,[],[f3540]) ).
cnf(s466,plain,
spl18_157,
inference(sat_conversion,[],[f3786]) ).
cnf(s468,plain,
( ~ spl18_9
| ~ spl18_10 ),
inference(sat_conversion,[],[f3797]) ).
cnf(s470,plain,
( ~ spl18_157
| spl18_197 ),
inference(sat_conversion,[],[f3810]) ).
cnf(s477,plain,
( ~ spl18_35
| ~ spl18_36 ),
inference(sat_conversion,[],[f3842]) ).
cnf(s482,plain,
( ~ spl18_20
| ~ spl18_197 ),
inference(sat_conversion,[],[f3856]) ).
cnf(s484,plain,
( ~ spl18_23
| ~ spl18_35 ),
inference(sat_conversion,[],[f3858]) ).
cnf(s488,plain,
( ~ spl18_181
| ~ spl18_197 ),
inference(sat_conversion,[],[f3889]) ).
cnf(s492,plain,
( ~ spl18_5
| ~ spl18_45 ),
inference(sat_conversion,[],[f3907]) ).
cnf(s493,plain,
( ~ spl18_5
| ~ spl18_17 ),
inference(sat_conversion,[],[f3913]) ).
cnf(s494,plain,
( ~ spl18_19
| ~ spl18_43
| spl18_53 ),
inference(sat_conversion,[],[f3915]) ).
cnf(s496,plain,
( ~ spl18_41
| ~ spl18_43 ),
inference(sat_conversion,[],[f3920]) ).
cnf(s501,plain,
( ~ spl18_10
| ~ spl18_189 ),
inference(sat_conversion,[],[f3950]) ).
cnf(s505,plain,
( ~ spl18_18
| ~ spl18_30
| spl18_59 ),
inference(sat_conversion,[],[f3968]) ).
cnf(s507,plain,
( ~ spl18_165
| ~ spl18_169 ),
inference(sat_conversion,[],[f3982]) ).
cnf(s513,plain,
( ~ spl18_3
| ~ spl18_157 ),
inference(sat_conversion,[],[f4023]) ).
cnf(s515,plain,
( ~ spl18_1
| ~ spl18_5 ),
inference(sat_conversion,[],[f4039]) ).
cnf(s520,plain,
spl18_274,
inference(sat_conversion,[],[f4153]) ).
cnf(s526,plain,
( ~ spl18_66
| spl18_107 ),
inference(sat_conversion,[],[f4171]) ).
cnf(s527,plain,
( ~ spl18_92
| ~ spl18_112
| spl18_142 ),
inference(sat_conversion,[],[f4174]) ).
cnf(s533,plain,
( ~ spl18_94
| ~ spl18_110 ),
inference(sat_conversion,[],[f4203]) ).
cnf(s534,plain,
( ~ spl18_91
| ~ spl18_107 ),
inference(sat_conversion,[],[f4205]) ).
cnf(s544,plain,
( ~ spl18_89
| ~ spl18_101
| spl18_141 ),
inference(sat_conversion,[],[f4229]) ).
cnf(s553,plain,
( ~ spl18_104
| ~ spl18_107 ),
inference(sat_conversion,[],[f4273]) ).
cnf(s555,plain,
( ~ spl18_71
| ~ spl18_119 ),
inference(sat_conversion,[],[f4279]) ).
cnf(s561,plain,
( ~ spl18_121
| ~ spl18_125 ),
inference(sat_conversion,[],[f4293]) ).
cnf(s563,plain,
( ~ spl18_85
| ~ spl18_89 ),
inference(sat_conversion,[],[f4355]) ).
cnf(s564,plain,
( ~ spl18_35
| ~ spl18_47
| spl18_63 ),
inference(sat_conversion,[],[f4412]) ).
cnf(s565,plain,
( ~ spl18_5
| ~ spl18_25
| spl18_56 ),
inference(sat_conversion,[],[f4420]) ).
cnf(s566,plain,
( ~ spl18_2
| ~ spl18_10 ),
inference(sat_conversion,[],[f4422]) ).
cnf(s568,plain,
( spl18_10
| ~ spl18_274 ),
inference(sat_conversion,[],[f4433]) ).
cnf(s571,plain,
( ~ spl18_4
| ~ spl18_32 ),
inference(sat_conversion,[],[f4443]) ).
cnf(s578,plain,
( ~ spl18_10
| ~ spl18_22 ),
inference(sat_conversion,[],[f4450]) ).
cnf(s581,plain,
( ~ spl18_31
| ~ spl18_35 ),
inference(sat_conversion,[],[f4459]) ).
cnf(s584,plain,
( ~ spl18_41
| ~ spl18_185 ),
inference(sat_conversion,[],[f4473]) ).
cnf(s585,plain,
( ~ spl18_35
| ~ spl18_193 ),
inference(sat_conversion,[],[f4476]) ).
cnf(s588,plain,
( ~ spl18_4
| ~ spl18_24
| spl18_55 ),
inference(sat_conversion,[],[f4498]) ).
cnf(s589,plain,
( ~ spl18_25
| ~ spl18_29 ),
inference(sat_conversion,[],[f4512]) ).
cnf(s600,plain,
( ~ spl18_13
| ~ spl18_29
| spl18_62 ),
inference(sat_conversion,[],[f4609]) ).
cnf(s601,plain,
( ~ spl18_18
| ~ spl18_46 ),
inference(sat_conversion,[],[f4611]) ).
cnf(s602,plain,
( ~ spl18_18
| ~ spl18_165 ),
inference(sat_conversion,[],[f4614]) ).
cnf(s604,plain,
( ~ spl18_16
| ~ spl18_24 ),
inference(sat_conversion,[],[f4628]) ).
cnf(s607,plain,
( ~ spl18_21
| ~ spl18_185 ),
inference(sat_conversion,[],[f4632]) ).
cnf(s617,plain,
( ~ spl18_10
| ~ spl18_42
| spl18_57 ),
inference(sat_conversion,[],[f4658]) ).
cnf(s620,plain,
( ~ spl18_13
| ~ spl18_21 ),
inference(sat_conversion,[],[f4669]) ).
cnf(s622,plain,
( ~ spl18_21
| ~ spl18_37
| spl18_60 ),
inference(sat_conversion,[],[f4676]) ).
cnf(s653,plain,
spl18_152,
inference(sat_conversion,[],[f4980]) ).
cnf(s655,plain,
( ~ spl18_4
| ~ spl18_71
| ~ spl18_152
| spl18_272
| ~ spl18_274 ),
inference(sat_conversion,[],[f4984]) ).
cnf(s656,plain,
( ~ spl18_85
| ~ spl18_152
| ~ spl18_165
| ~ spl18_201
| spl18_258 ),
inference(sat_conversion,[],[f4992]) ).
cnf(s657,plain,
( ~ spl18_21
| ~ spl18_92
| ~ spl18_152
| spl18_260
| ~ spl18_274 ),
inference(sat_conversion,[],[f5001]) ).
cnf(s658,plain,
( ~ spl18_19
| ~ spl18_90
| ~ spl18_152
| ~ spl18_157
| spl18_259 ),
inference(sat_conversion,[],[f5011]) ).
cnf(s659,plain,
( ~ spl18_35
| ~ spl18_110
| ~ spl18_157
| spl18_262
| ~ spl18_274 ),
inference(sat_conversion,[],[f5021]) ).
cnf(s660,plain,
( ~ spl18_29
| ~ spl18_100
| ~ spl18_152
| ~ spl18_157
| spl18_261 ),
inference(sat_conversion,[],[f5031]) ).
cnf(s661,plain,
( ~ spl18_43
| ~ spl18_118
| ~ spl18_152
| ~ spl18_157
| spl18_263
| ~ spl18_274 ),
inference(sat_conversion,[],[f5041]) ).
cnf(s662,plain,
( ~ spl18_127
| ~ spl18_198
| ~ spl18_199
| spl18_265
| ~ spl18_274 ),
inference(sat_conversion,[],[f5050]) ).
cnf(s663,plain,
( ~ spl18_46
| ~ spl18_121
| ~ spl18_152
| ~ spl18_157
| spl18_264
| ~ spl18_274 ),
inference(sat_conversion,[],[f5059]) ).
cnf(s664,plain,
( ~ spl18_107
| spl18_267 ),
inference(sat_conversion,[],[f5063]) ).
cnf(s665,plain,
( ~ spl18_37
| ~ spl18_112
| spl18_266
| ~ spl18_274 ),
inference(sat_conversion,[],[f5071]) ).
cnf(s666,plain,
( ~ spl18_16
| ~ spl18_83
| ~ spl18_152
| spl18_269
| ~ spl18_274 ),
inference(sat_conversion,[],[f5079]) ).
cnf(s667,plain,
( ~ spl18_26
| ~ spl18_97
| ~ spl18_152
| ~ spl18_157
| spl18_268 ),
inference(sat_conversion,[],[f5087]) ).
cnf(s668,plain,
( ~ spl18_77
| ~ spl18_152
| spl18_270 ),
inference(sat_conversion,[],[f5092]) ).
cnf(s669,plain,
( ~ spl18_66
| spl18_273 ),
inference(sat_conversion,[],[f5097]) ).
cnf(s670,plain,
( ~ spl18_5
| ~ spl18_72
| ~ spl18_157
| spl18_271 ),
inference(sat_conversion,[],[f5102]) ).
cnf(s671,plain,
( ~ spl18_71
| ~ spl18_95
| spl18_136 ),
inference(sat_conversion,[],[f5126]) ).
cnf(s676,plain,
spl18_10,
inference(rat,[],[s568,s520]) ).
cnf(s677,plain,
~ spl18_22,
inference(rat,[],[s578,s676]) ).
cnf(s678,plain,
~ spl18_2,
inference(rat,[],[s566,s676]) ).
cnf(s679,plain,
~ spl18_189,
inference(rat,[],[s501,s676]) ).
cnf(s680,plain,
~ spl18_9,
inference(rat,[],[s468,s676]) ).
cnf(s682,plain,
~ spl18_3,
inference(rat,[],[s513,s466]) ).
cnf(s683,plain,
spl18_197,
inference(rat,[],[s470,s466]) ).
cnf(s684,plain,
~ spl18_181,
inference(rat,[],[s488,s683]) ).
cnf(s685,plain,
~ spl18_20,
inference(rat,[],[s482,s683]) ).
cnf(s686,plain,
~ spl18_149,
inference(rat,[],[s267,s466]) ).
cnf(s687,plain,
~ spl18_177,
inference(rat,[],[s262,s683]) ).
cnf(s688,plain,
~ spl18_173,
inference(rat,[],[s255,s683]) ).
cnf(s689,plain,
~ spl18_12,
inference(rat,[],[s220,s676]) ).
cnf(s691,plain,
( spl18_147
| spl18_151
| spl18_155
| ~ spl18_258
| ~ spl18_259
| ~ spl18_260
| ~ spl18_261
| ~ spl18_262
| ~ spl18_263
| ~ spl18_264
| ~ spl18_265
| ~ spl18_266
| ~ spl18_267
| ~ spl18_268
| ~ spl18_269
| ~ spl18_270
| ~ spl18_271
| ~ spl18_272
| ~ spl18_273 ),
inference(rat,[],[s205,s520]) ).
cnf(s693,plain,
( spl18_165
| spl18_198 ),
inference(rat,[],[s193,s684,s686]) ).
cnf(s695,plain,
spl18_35,
inference(rat,[],[s179,s683]) ).
cnf(s696,plain,
~ spl18_193,
inference(rat,[],[s585,s695]) ).
cnf(s697,plain,
~ spl18_31,
inference(rat,[],[s581,s695]) ).
cnf(s699,plain,
~ spl18_23,
inference(rat,[],[s484,s695]) ).
cnf(s700,plain,
~ spl18_36,
inference(rat,[],[s477,s695]) ).
cnf(s701,plain,
~ spl18_33,
inference(rat,[],[s260,s695]) ).
cnf(s702,plain,
~ spl18_196,
inference(rat,[],[s176,s677]) ).
cnf(s703,plain,
spl18_5,
inference(rat,[],[s172,s466]) ).
cnf(s704,plain,
~ spl18_1,
inference(rat,[],[s515,s703]) ).
cnf(s705,plain,
~ spl18_17,
inference(rat,[],[s493,s703]) ).
cnf(s706,plain,
~ spl18_45,
inference(rat,[],[s492,s703]) ).
cnf(s707,plain,
~ spl18_6,
inference(rat,[],[s265,s703]) ).
cnf(s708,plain,
~ spl18_153,
inference(rat,[],[s171,s704]) ).
cnf(s709,plain,
( spl18_24
| spl18_198 ),
inference(rat,[],[s169,s700,s689]) ).
cnf(s710,plain,
( spl18_39
| spl18_43
| spl18_47 ),
inference(rat,[],[s168,s696]) ).
cnf(s711,plain,
( spl18_38
| spl18_42
| spl18_46 ),
inference(rat,[],[s166,s679]) ).
cnf(s712,plain,
( spl18_37
| spl18_41
| spl18_185 ),
inference(rat,[],[s164,s706]) ).
cnf(s713,plain,
( spl18_21
| spl18_185 ),
inference(rat,[],[s163,s701,s680]) ).
cnf(s716,plain,
( spl18_18
| spl18_46 ),
inference(rat,[],[s157,s687,s707]) ).
cnf(s717,plain,
( spl18_25
| spl18_29 ),
inference(rat,[],[s156,s688,s701]) ).
cnf(s718,plain,
( spl18_16
| spl18_24 ),
inference(rat,[],[s154,s702,s685]) ).
cnf(s721,plain,
( spl18_43
| spl18_169 ),
inference(rat,[],[s151,s697,s682]) ).
cnf(s722,plain,
( spl18_14
| spl18_18
| spl18_165 ),
inference(rat,[],[s150,s677]) ).
cnf(s723,plain,
( spl18_30
| spl18_42
| spl18_165 ),
inference(rat,[],[s149,s678]) ).
cnf(s724,plain,
( spl18_13
| spl18_21
| spl18_161 ),
inference(rat,[],[s148,s705]) ).
cnf(s725,plain,
( spl18_29
| spl18_41
| spl18_161 ),
inference(rat,[],[s147,s704]) ).
cnf(s728,plain,
( spl18_14
| spl18_26
| spl18_38 ),
inference(rat,[],[s141,s708]) ).
cnf(s729,plain,
( spl18_13
| spl18_25
| spl18_37 ),
inference(rat,[],[s139,s686]) ).
cnf(s730,plain,
~ spl18_155,
inference(rat,[],[s110,s466]) ).
cnf(s731,plain,
~ spl18_151,
inference(rat,[],[s106,s653]) ).
cnf(s732,plain,
spl18_273,
inference(rat,[],[s669,s102]) ).
cnf(s735,plain,
spl18_107,
inference(rat,[],[s526,s102]) ).
cnf(s736,plain,
~ spl18_67,
inference(rat,[],[s391,s102]) ).
cnf(s737,plain,
~ spl18_65,
inference(rat,[],[s317,s102]) ).
cnf(s738,plain,
~ spl18_64,
inference(rat,[],[s292,s102]) ).
cnf(s739,plain,
spl18_267,
inference(rat,[],[s664,s735]) ).
cnf(s741,plain,
~ spl18_104,
inference(rat,[],[s553,s735]) ).
cnf(s742,plain,
~ spl18_91,
inference(rat,[],[s534,s735]) ).
cnf(s743,plain,
~ spl18_106,
inference(rat,[],[s423,s735]) ).
cnf(s744,plain,
~ spl18_105,
inference(rat,[],[s351,s735]) ).
cnf(s745,plain,
( spl18_85
| spl18_127 ),
inference(rat,[],[s85,s743,s738]) ).
cnf(s746,plain,
spl18_110,
inference(rat,[],[s81,s735]) ).
cnf(s747,plain,
spl18_262,
inference(rat,[],[s659,s520,s695,s466,s746]) ).
cnf(s748,plain,
~ spl18_94,
inference(rat,[],[s533,s746]) ).
cnf(s749,plain,
~ spl18_109,
inference(rat,[],[s373,s746]) ).
cnf(s750,plain,
~ spl18_108,
inference(rat,[],[s360,s746]) ).
cnf(s751,plain,
spl18_72,
inference(rat,[],[s74,s102]) ).
cnf(s752,plain,
spl18_271,
inference(rat,[],[s670,s703,s466,s751]) ).
cnf(s753,plain,
~ spl18_74,
inference(rat,[],[s344,s751]) ).
cnf(s754,plain,
~ spl18_75,
inference(rat,[],[s332,s751]) ).
cnf(s755,plain,
~ spl18_73,
inference(rat,[],[s316,s751]) ).
cnf(s756,plain,
( spl18_77
| spl18_93
| spl18_125 ),
inference(rat,[],[s67,s749]) ).
cnf(s757,plain,
( spl18_76
| spl18_92
| spl18_124 ),
inference(rat,[],[s65,s750]) ).
cnf(s758,plain,
( spl18_90
| spl18_122 ),
inference(rat,[],[s61,s743,s753]) ).
cnf(s759,plain,
( spl18_97
| spl18_101 ),
inference(rat,[],[s60,s749,s744]) ).
cnf(s760,plain,
( spl18_89
| spl18_121 ),
inference(rat,[],[s59,s744,s755]) ).
cnf(s761,plain,
( spl18_96
| spl18_100 ),
inference(rat,[],[s58,s750,s741]) ).
cnf(s762,plain,
( spl18_83
| spl18_87
| spl18_95 ),
inference(rat,[],[s56,s742]) ).
cnf(s763,plain,
( spl18_82
| spl18_86
| spl18_90 ),
inference(rat,[],[s54,s748]) ).
cnf(s764,plain,
( spl18_71
| spl18_79 ),
inference(rat,[],[s48,s754,s736]) ).
cnf(s765,plain,
( spl18_83
| spl18_99
| spl18_115 ),
inference(rat,[],[s47,s736]) ).
cnf(s766,plain,
( spl18_69
| spl18_77 ),
inference(rat,[],[s44,s755,s737]) ).
cnf(s767,plain,
( spl18_81
| spl18_97
| spl18_113 ),
inference(rat,[],[s43,s737]) ).
cnf(s768,plain,
( spl18_80
| spl18_96
| spl18_112 ),
inference(rat,[],[s41,s738]) ).
cnf(s773,plain,
( spl18_29
| spl18_30
| spl18_32 ),
inference(rat,[],[s8,s697]) ).
cnf(s774,plain,
( spl18_21
| spl18_24 ),
inference(rat,[],[s6,s699,s677]) ).
cnf(s775,plain,
( spl18_18
| spl18_19 ),
inference(rat,[],[s5,s685,s705]) ).
cnf(s777,plain,
spl18_4,
inference(rat,[],[s1,s682,s678,s704]) ).
cnf(s778,plain,
~ spl18_32,
inference(rat,[],[s571,s777]) ).
cnf(s780,plain,
( spl18_96
| spl18_130
| spl18_85
| spl18_80
| spl18_69 ),
inference(rat,[],[s93,s89,s328,s97,s51,s527,s372,s768,s761,s311,s757,s364,s745,s340,s766]) ).
cnf(s781,plain,
( spl18_130
| ~ spl18_89
| spl18_85
| spl18_80
| spl18_69 ),
inference(rat,[],[s96,s544,s89,s759,s92,s294,s339,s780,s311,s745,s751]) ).
cnf(s782,plain,
( ~ spl18_126
| ~ spl18_134 ),
inference(rat,[],[s84,s416]) ).
cnf(s783,plain,
( spl18_96
| spl18_122
| spl18_85
| spl18_80
| spl18_69 ),
inference(rat,[],[s395,s328,s70,s51,s297,s372,s768,s761,s766,s782,s311,s745]) ).
cnf(s784,plain,
( spl18_85
| spl18_81
| spl18_80
| spl18_69
| spl18_68 ),
inference(rat,[],[s354,s70,s49,s419,s372,s767,s759,s294,s783,s782,s362,s101,s781,s52,s350,s757,s311,s364,s745,s340,s766,s76,s746]) ).
cnf(s785,plain,
( spl18_96
| ~ spl18_259
| ~ spl18_269
| spl18_123
| ~ spl18_264
| spl18_86
| ~ spl18_258
| spl18_80
| ~ spl18_77
| ~ spl18_26
| ~ spl18_29
| ~ spl18_43
| ~ spl18_198
| ~ spl18_21 ),
inference(rat,[],[s691,s657,s662,s757,s661,s667,s72,s82,s53,s759,s310,s665,s353,s372,s660,s768,s761,s259,s712,s496,s607,s668,s340,s655,s555,s314,s764,s329,s187,s730,s731,s747,s739,s752,s732,s653,s520,s466,s777]) ).
cnf(s786,plain,
( ~ spl18_96
| ~ spl18_85 ),
inference(rat,[],[s88,s99,s456,s404,s759,s92,s294,s339,s760,s563,s95,s394,s751]) ).
cnf(s787,plain,
( ~ spl18_85
| spl18_80
| ~ spl18_77
| ~ spl18_26
| ~ spl18_29
| ~ spl18_43
| ~ spl18_19
| ~ spl18_165
| ~ spl18_46
| ~ spl18_21
| ~ spl18_16 ),
inference(rat,[],[s765,s337,s666,s759,s785,s310,s372,s658,s768,s761,s758,s786,s320,s322,s663,s760,s77,s563,s656,s709,s604,s274,s653,s520,s466]) ).
cnf(s788,plain,
( spl18_80
| spl18_69
| spl18_68
| ~ spl18_26
| ~ spl18_29
| ~ spl18_43
| ~ spl18_19
| ~ spl18_165
| ~ spl18_46
| ~ spl18_21
| ~ spl18_16 ),
inference(rat,[],[s78,s762,s350,s406,s757,s418,s364,s784,s745,s787,s340,s766]) ).
cnf(s789,plain,
( ~ spl18_92
| spl18_83 ),
inference(rat,[],[s78,s762,s350,s406]) ).
cnf(s790,plain,
( spl18_69
| spl18_68
| ~ spl18_26
| ~ spl18_29
| ~ spl18_43
| ~ spl18_19
| ~ spl18_165
| ~ spl18_46
| ~ spl18_21
| ~ spl18_16 ),
inference(rat,[],[s87,s431,s99,s91,s70,s370,s671,s322,s763,s761,s762,s95,s760,s77,s786,s346,s394,s563,s368,s745,s82,s364,s436,s757,s789,s298,s299,s788,s764,s329,s340,s766]) ).
cnf(s791,plain,
( ~ spl18_127
| ~ spl18_79 ),
inference(rat,[],[s349,s756,s757,s324,s364,s361,s329]) ).
cnf(s792,plain,
spl18_71,
inference(rat,[],[s368,s70,s82,s381,s40,s55,s84,s374,s320,s322,s561,s761,s760,s786,s346,s563,s745,s791,s764]) ).
cnf(s797,plain,
~ spl18_69,
inference(rat,[],[s341,s792]) ).
cnf(s798,plain,
~ spl18_68,
inference(rat,[],[s334,s792]) ).
cnf(s802,plain,
( spl18_18
| ~ spl18_21
| ~ spl18_16
| spl18_14 ),
inference(rat,[],[s790,s728,s269,s725,s712,s496,s721,s775,s722,s716,s175,s174,s607,s797,s798]) ).
cnf(s833,plain,
( spl18_25
| spl18_51
| spl18_165
| ~ spl18_199
| ~ spl18_21
| spl18_13 ),
inference(rat,[],[s18,s183,s617,s21,s723,s622,s244,s729,s717,s676]) ).
cnf(s836,plain,
~ spl18_13,
inference(rat,[],[s14,s494,s185,s721,s775,s23,s274,s507,s602,s600,s16,s693,s725,s588,s257,s584,s174,s774,s713,s271,s620,s777]) ).
cnf(s838,plain,
( ~ spl18_29
| ~ spl18_16 ),
inference(rat,[],[s710,s564,s282,s24,s270,s723,s833,s729,s244,s589,s259,s709,s602,s802,s774,s604,s224,s695,s836]) ).
cnf(s839,plain,
~ spl18_16,
inference(rat,[],[s564,s24,s710,s183,s273,s20,s711,s17,s505,s280,s496,s565,s773,s725,s717,s838,s601,s802,s259,s174,s774,s709,s224,s604,s695,s703,s778]) ).
cnf(s840,plain,
spl18_24,
inference(rat,[],[s718,s839]) ).
cnf(s843,plain,
~ spl18_21,
inference(rat,[],[s236,s840]) ).
cnf(s846,plain,
spl18_185,
inference(rat,[],[s713,s843]) ).
cnf(s847,plain,
spl18_161,
inference(rat,[],[s724,s836,s843]) ).
cnf(s857,plain,
~ spl18_198,
inference(rat,[],[s257,s846]) ).
cnf(s860,plain,
~ spl18_165,
inference(rat,[],[s246,s847]) ).
cnf(s871,plain,
$false,
inference(rat,[],[s693,s857,s860]) ).
fof(f5159,plain,
$false,
inference(avatar_sat_refutation,[],[s871]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG125+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.18 % Computer : n004.cluster.edu
% 0.11/0.18 % Model : x86_64 x86_64
% 0.11/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.18 % Memory : 8046.5625MB
% 0.11/0.18 % OS : Linux 6.8.0-71-generic
% 0.11/0.18 % CPULimit : 300
% 0.11/0.18 % WCLimit : 300
% 0.11/0.18 % DateTime : Mon Sep 28 19:31:07 UTC 2026
% 0.11/0.19 % CPUTime :
% 0.11/0.19 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.21 Running first-order theorem proving
% 0.11/0.21 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.68/1.34 % (675670)Detected formulas, will run a generic FOF schedule.
% 4.68/1.34 % (675676)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=2542550920:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.68/1.34 % (675679)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2767097811:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.68/1.34 % (675678)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3815672857:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.68/1.34 % (675677)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=4093148987:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.68/1.34 % (675675)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=3050543625:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.68/1.34 % (675680)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=917034886:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.68/1.34 % (675681)dis-21_1_sil=8000:lcm=predicate:random_seed=2425200259:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.68/1.34 % (675681)Refutation not found, incomplete strategy
% 4.68/1.34 % (675681)------------------------------
% 4.68/1.34 % (675681)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.34 % (675681)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.34 % (675681)CaDiCaL version: 2.1.3
% 4.68/1.34 % (675681)Termination reason: Refutation not found, incomplete strategy
% 4.68/1.34 % (675681)Time elapsed: 0.016 s
% 4.68/1.34 % (675681)Peak memory usage: 89 MB
% 4.68/1.34 % (675681)Instructions burned: 33 (million)
% 4.68/1.34 % (675679)Instruction limit reached!
% 4.68/1.34 % (675679)------------------------------
% 4.68/1.34 % (675679)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.34 % (675679)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.34 % (675679)CaDiCaL version: 2.1.3
% 4.68/1.34 % (675679)Termination reason: Instruction limit
% 4.68/1.34 % (675679)Termination phase: Saturation
% 4.68/1.34 % (675679)Time elapsed: 0.048 s
% 4.68/1.34 % (675679)Peak memory usage: 88 MB
% 4.68/1.34 % (675679)Instructions burned: 121 (million)
% 4.68/1.34 % (675678)Instruction limit reached!
% 4.68/1.34 % (675678)------------------------------
% 4.68/1.34 % (675678)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.34 % (675678)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.34 % (675678)CaDiCaL version: 2.1.3
% 4.68/1.34 % (675678)Termination reason: Instruction limit
% 4.68/1.34 % (675678)Termination phase: Saturation
% 4.68/1.34 % (675678)Time elapsed: 0.049 s
% 4.68/1.34 % (675678)Peak memory usage: 90 MB
% 4.68/1.34 % (675678)Instructions burned: 110 (million)
% 4.68/1.34 % (675680)Instruction limit reached!
% 4.68/1.34 % (675680)------------------------------
% 4.68/1.34 % (675680)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.34 % (675680)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.34 % (675680)CaDiCaL version: 2.1.3
% 4.68/1.34 % (675680)Termination reason: Instruction limit
% 4.68/1.34 % (675680)Termination phase: Saturation
% 4.68/1.34 % (675680)Time elapsed: 0.072 s
% 4.68/1.34 % (675680)Peak memory usage: 90 MB
% 4.68/1.34 % (675680)Instructions burned: 141 (million)
% 4.68/1.34 [W928 19:31:08.232836883 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.68/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.68/1.34 [W928 19:31:08.232874226 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.68/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.68/1.34 [W928 19:31:08.232893069 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.68/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.68/1.34 [W928 19:31:08.232900931 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.68/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.68/1.34 [W928 19:31:08.232914542 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.68/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.68/1.34 [W928 19:31:08.232920337 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.68/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.68/1.34 % (675689)lrs+10_1_sil=8000:sp=occurrence:random_seed=4171168542:i=285:sd=3:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/285Mi)
% 4.68/1.34 % (675690)lrs+10_1_sil=32000:urr=on:br=off:random_seed=3531365086:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2998 on theBenchmark for (2998ds/157Mi)
% 4.68/1.34 % (675691)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1016960942:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.68/1.34 % (675689)First to succeed.
% 4.68/1.34 % (675690)Instruction limit reached!
% 4.68/1.34 % (675690)------------------------------
% 4.68/1.34 % (675690)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.34 % (675690)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.34 % (675690)CaDiCaL version: 2.1.3
% 4.68/1.34 % (675690)Termination reason: Instruction limit
% 4.68/1.34 % (675690)Termination phase: Saturation
% 4.68/1.34 % (675690)Time elapsed: 0.078 s
% 4.68/1.34 % (675690)Peak memory usage: 90 MB
% 4.68/1.34 % (675690)Instructions burned: 158 (million)
% 4.68/1.34 % (675681)------------------------------
% 4.68/1.34 % (675681)------------------------------
% 4.68/1.34 % (675689)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-675670"
% 4.68/1.34 % (675691)Also succeeded, but the first one will report.
% 4.68/1.34 % (675695)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=1808921602:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.68/1.34 [W928 19:31:08.452724459 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.68/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.68/1.34 [W928 19:31:08.452769446 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.68/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.68/1.34 [W928 19:31:08.452805246 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.68/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.68/1.34 [W928 19:31:08.452816253 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.68/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.68/1.34 [W928 19:31:08.452827446 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.68/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.68/1.34 [W928 19:31:08.452847650 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.68/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.68/1.34 [W928 19:31:08.452854026 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.68/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.68/1.34 [W928 19:31:08.452866427 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.68/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.68/1.34 [W928 19:31:08.452890943 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.68/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.68/1.34 [W928 19:31:08.452913750 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.68/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.68/1.34 [W928 19:31:08.452940757 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.68/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.68/1.34 [W928 19:31:08.452951097 register_special_ops.cpp:225] Warning: Creating a tensor from an empty intlist will create a tensor of default floating point type (currently Float) in python but a tensor of type int in torchscript.
% 4.68/1.34 Pass in a dtype argument to ensure consistent behavior (function createTensorFromList)
% 4.68/1.34 % (675696)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1569320585:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2995 on theBenchmark for (2995ds/294Mi)
% 4.68/1.34 % (675695)Instruction limit reached!
% 4.68/1.34 % (675695)------------------------------
% 4.68/1.34 % (675695)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.34 % (675695)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.34 % (675695)CaDiCaL version: 2.1.3
% 4.68/1.34 % (675695)Termination reason: Instruction limit
% 4.68/1.34 % (675695)Termination phase: Saturation
% 4.68/1.34 % (675695)Time elapsed: 0.075 s
% 4.68/1.34 % (675695)Peak memory usage: 91 MB
% 4.68/1.34 % (675695)Instructions burned: 251 (million)
% 4.68/1.34 % (675676)Also succeeded, but the first one will report.
% 4.68/1.34 % (675699)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=1262577293:i=2350_2994 on theBenchmark for (2994ds/2350Mi)
% 4.68/1.34 % (675696)Instruction limit reached!
% 4.68/1.34 % (675696)------------------------------
% 4.68/1.34 % (675696)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.68/1.34 % (675696)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.68/1.34 % (675696)CaDiCaL version: 2.1.3
% 4.68/1.34 % (675696)Termination reason: Instruction limit
% 4.68/1.34 % (675696)Termination phase: Saturation
% 4.68/1.34 % (675696)Time elapsed: 0.107 s
% 4.68/1.34 % (675696)Peak memory usage: 89 MB
% 4.68/1.34 % (675696)Instructions burned: 297 (million)
% 4.68/1.34 % (675689)Refutation found. Thanks to Tanya!
% 4.68/1.34 % SZS status Theorem for theBenchmark
% 4.68/1.34 % SZS output start Proof for theBenchmark
% See solution above
% 5.31/1.43 % (675689)------------------------------
% 5.31/1.43 % (675689)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.31/1.43 % (675689)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.31/1.43 % (675689)CaDiCaL version: 2.1.3
% 5.31/1.43 % (675689)Termination reason: Refutation
% 5.31/1.43 % (675689)Time elapsed: 0.105 s
% 5.31/1.43 % (675689)Peak memory usage: 91 MB
% 5.31/1.43 % (675689)Instructions burned: 214 (million)
% 5.31/1.43 % (675689)------------------------------
% 5.31/1.43 % (675689)------------------------------
% 5.31/1.43 % (675670)Success in time 0.685 s
% 5.31/1.43 % Vampire exiting
%------------------------------------------------------------------------------