%------------------------------------------------------------------------------
% File : Vampire-SAT---5.0.1
% Problem : ALG112+1 : TPTP v9.3.1. Released v2.7.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% Computer : n014.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 09:22:47 AM UTC 2026
% Result : Theorem 0.82s 0.44s
% Output : Refutation 0.82s
% Verified :
% SZS Type : Refutation
% Derivation depth : 37
% Number of leaves : 191
% Syntax : Number of formulae : 1459 ( 194 unt; 174 def)
% Number of atoms : 4759 (1844 equ)
% Maximal formula atoms : 128 ( 3 avg)
% Number of connectives : 5500 (2200 ~;2687 |; 439 &)
% ( 174 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 49 ( 4 avg)
% Maximal term depth : 4 ( 1 avg)
% Number of predicates : 182 ( 180 usr; 181 prp; 0-2 aty)
% Number of functors : 14 ( 14 usr; 8 con; 0-2 aty)
% Number of variables : 0 ( 0 sgn 0 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e10) = e11
| op1(e10,e10) = e12
| op1(e10,e10) = e13 )
& ( op1(e10,e11) = e10
| op1(e10,e11) = e11
| op1(e10,e11) = e12
| op1(e10,e11) = e13 )
& ( op1(e10,e12) = e10
| op1(e10,e12) = e11
| op1(e10,e12) = e12
| op1(e10,e12) = e13 )
& ( op1(e10,e13) = e10
| op1(e10,e13) = e11
| op1(e10,e13) = e12
| op1(e10,e13) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e10) = e11
| op1(e11,e10) = e12
| op1(e11,e10) = e13 )
& ( op1(e11,e11) = e10
| op1(e11,e11) = e11
| op1(e11,e11) = e12
| op1(e11,e11) = e13 )
& ( op1(e11,e12) = e10
| op1(e11,e12) = e11
| op1(e11,e12) = e12
| op1(e11,e12) = e13 )
& ( op1(e11,e13) = e10
| op1(e11,e13) = e11
| op1(e11,e13) = e12
| op1(e11,e13) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e10) = e11
| op1(e12,e10) = e12
| op1(e12,e10) = e13 )
& ( op1(e12,e11) = e10
| op1(e12,e11) = e11
| op1(e12,e11) = e12
| op1(e12,e11) = e13 )
& ( op1(e12,e12) = e10
| op1(e12,e12) = e11
| op1(e12,e12) = e12
| op1(e12,e12) = e13 )
& ( op1(e12,e13) = e10
| op1(e12,e13) = e11
| op1(e12,e13) = e12
| op1(e12,e13) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e10) = e11
| op1(e13,e10) = e12
| op1(e13,e10) = e13 )
& ( op1(e13,e11) = e10
| op1(e13,e11) = e11
| op1(e13,e11) = e12
| op1(e13,e11) = e13 )
& ( op1(e13,e12) = e10
| op1(e13,e12) = e11
| op1(e13,e12) = e12
| op1(e13,e12) = e13 )
& ( op1(e13,e13) = e10
| op1(e13,e13) = e11
| op1(e13,e13) = e12
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax1) ).
fof(f2,axiom,
( ( op1(e10,e10) = e10
| op1(e10,e11) = e10
| op1(e10,e12) = e10
| op1(e10,e13) = e10 )
& ( op1(e10,e10) = e10
| op1(e11,e10) = e10
| op1(e12,e10) = e10
| op1(e13,e10) = e10 )
& ( op1(e10,e10) = e11
| op1(e10,e11) = e11
| op1(e10,e12) = e11
| op1(e10,e13) = e11 )
& ( op1(e10,e10) = e11
| op1(e11,e10) = e11
| op1(e12,e10) = e11
| op1(e13,e10) = e11 )
& ( op1(e10,e10) = e12
| op1(e10,e11) = e12
| op1(e10,e12) = e12
| op1(e10,e13) = e12 )
& ( op1(e10,e10) = e12
| op1(e11,e10) = e12
| op1(e12,e10) = e12
| op1(e13,e10) = e12 )
& ( op1(e10,e10) = e13
| op1(e10,e11) = e13
| op1(e10,e12) = e13
| op1(e10,e13) = e13 )
& ( op1(e10,e10) = e13
| op1(e11,e10) = e13
| op1(e12,e10) = e13
| op1(e13,e10) = e13 )
& ( op1(e11,e10) = e10
| op1(e11,e11) = e10
| op1(e11,e12) = e10
| op1(e11,e13) = e10 )
& ( op1(e10,e11) = e10
| op1(e11,e11) = e10
| op1(e12,e11) = e10
| op1(e13,e11) = e10 )
& ( op1(e11,e10) = e11
| op1(e11,e11) = e11
| op1(e11,e12) = e11
| op1(e11,e13) = e11 )
& ( op1(e10,e11) = e11
| op1(e11,e11) = e11
| op1(e12,e11) = e11
| op1(e13,e11) = e11 )
& ( op1(e11,e10) = e12
| op1(e11,e11) = e12
| op1(e11,e12) = e12
| op1(e11,e13) = e12 )
& ( op1(e10,e11) = e12
| op1(e11,e11) = e12
| op1(e12,e11) = e12
| op1(e13,e11) = e12 )
& ( op1(e11,e10) = e13
| op1(e11,e11) = e13
| op1(e11,e12) = e13
| op1(e11,e13) = e13 )
& ( op1(e10,e11) = e13
| op1(e11,e11) = e13
| op1(e12,e11) = e13
| op1(e13,e11) = e13 )
& ( op1(e12,e10) = e10
| op1(e12,e11) = e10
| op1(e12,e12) = e10
| op1(e12,e13) = e10 )
& ( op1(e10,e12) = e10
| op1(e11,e12) = e10
| op1(e12,e12) = e10
| op1(e13,e12) = e10 )
& ( op1(e12,e10) = e11
| op1(e12,e11) = e11
| op1(e12,e12) = e11
| op1(e12,e13) = e11 )
& ( op1(e10,e12) = e11
| op1(e11,e12) = e11
| op1(e12,e12) = e11
| op1(e13,e12) = e11 )
& ( op1(e12,e10) = e12
| op1(e12,e11) = e12
| op1(e12,e12) = e12
| op1(e12,e13) = e12 )
& ( op1(e10,e12) = e12
| op1(e11,e12) = e12
| op1(e12,e12) = e12
| op1(e13,e12) = e12 )
& ( op1(e12,e10) = e13
| op1(e12,e11) = e13
| op1(e12,e12) = e13
| op1(e12,e13) = e13 )
& ( op1(e10,e12) = e13
| op1(e11,e12) = e13
| op1(e12,e12) = e13
| op1(e13,e12) = e13 )
& ( op1(e13,e10) = e10
| op1(e13,e11) = e10
| op1(e13,e12) = e10
| op1(e13,e13) = e10 )
& ( op1(e10,e13) = e10
| op1(e11,e13) = e10
| op1(e12,e13) = e10
| op1(e13,e13) = e10 )
& ( op1(e13,e10) = e11
| op1(e13,e11) = e11
| op1(e13,e12) = e11
| op1(e13,e13) = e11 )
& ( op1(e10,e13) = e11
| op1(e11,e13) = e11
| op1(e12,e13) = e11
| op1(e13,e13) = e11 )
& ( op1(e13,e10) = e12
| op1(e13,e11) = e12
| op1(e13,e12) = e12
| op1(e13,e13) = e12 )
& ( op1(e10,e13) = e12
| op1(e11,e13) = e12
| op1(e12,e13) = e12
| op1(e13,e13) = e12 )
& ( op1(e13,e10) = e13
| op1(e13,e11) = e13
| op1(e13,e12) = e13
| op1(e13,e13) = e13 )
& ( op1(e10,e13) = e13
| op1(e11,e13) = e13
| op1(e12,e13) = e13
| op1(e13,e13) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax2) ).
fof(f3,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e20) = e21
| op2(e20,e20) = e22
| op2(e20,e20) = e23 )
& ( op2(e20,e21) = e20
| op2(e20,e21) = e21
| op2(e20,e21) = e22
| op2(e20,e21) = e23 )
& ( op2(e20,e22) = e20
| op2(e20,e22) = e21
| op2(e20,e22) = e22
| op2(e20,e22) = e23 )
& ( op2(e20,e23) = e20
| op2(e20,e23) = e21
| op2(e20,e23) = e22
| op2(e20,e23) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e20) = e21
| op2(e21,e20) = e22
| op2(e21,e20) = e23 )
& ( op2(e21,e21) = e20
| op2(e21,e21) = e21
| op2(e21,e21) = e22
| op2(e21,e21) = e23 )
& ( op2(e21,e22) = e20
| op2(e21,e22) = e21
| op2(e21,e22) = e22
| op2(e21,e22) = e23 )
& ( op2(e21,e23) = e20
| op2(e21,e23) = e21
| op2(e21,e23) = e22
| op2(e21,e23) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e20) = e21
| op2(e22,e20) = e22
| op2(e22,e20) = e23 )
& ( op2(e22,e21) = e20
| op2(e22,e21) = e21
| op2(e22,e21) = e22
| op2(e22,e21) = e23 )
& ( op2(e22,e22) = e20
| op2(e22,e22) = e21
| op2(e22,e22) = e22
| op2(e22,e22) = e23 )
& ( op2(e22,e23) = e20
| op2(e22,e23) = e21
| op2(e22,e23) = e22
| op2(e22,e23) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e20) = e21
| op2(e23,e20) = e22
| op2(e23,e20) = e23 )
& ( op2(e23,e21) = e20
| op2(e23,e21) = e21
| op2(e23,e21) = e22
| op2(e23,e21) = e23 )
& ( op2(e23,e22) = e20
| op2(e23,e22) = e21
| op2(e23,e22) = e22
| op2(e23,e22) = e23 )
& ( op2(e23,e23) = e20
| op2(e23,e23) = e21
| op2(e23,e23) = e22
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax3) ).
fof(f4,axiom,
( ( op2(e20,e20) = e20
| op2(e20,e21) = e20
| op2(e20,e22) = e20
| op2(e20,e23) = e20 )
& ( op2(e20,e20) = e20
| op2(e21,e20) = e20
| op2(e22,e20) = e20
| op2(e23,e20) = e20 )
& ( op2(e20,e20) = e21
| op2(e20,e21) = e21
| op2(e20,e22) = e21
| op2(e20,e23) = e21 )
& ( op2(e20,e20) = e21
| op2(e21,e20) = e21
| op2(e22,e20) = e21
| op2(e23,e20) = e21 )
& ( op2(e20,e20) = e22
| op2(e20,e21) = e22
| op2(e20,e22) = e22
| op2(e20,e23) = e22 )
& ( op2(e20,e20) = e22
| op2(e21,e20) = e22
| op2(e22,e20) = e22
| op2(e23,e20) = e22 )
& ( op2(e20,e20) = e23
| op2(e20,e21) = e23
| op2(e20,e22) = e23
| op2(e20,e23) = e23 )
& ( op2(e20,e20) = e23
| op2(e21,e20) = e23
| op2(e22,e20) = e23
| op2(e23,e20) = e23 )
& ( op2(e21,e20) = e20
| op2(e21,e21) = e20
| op2(e21,e22) = e20
| op2(e21,e23) = e20 )
& ( op2(e20,e21) = e20
| op2(e21,e21) = e20
| op2(e22,e21) = e20
| op2(e23,e21) = e20 )
& ( op2(e21,e20) = e21
| op2(e21,e21) = e21
| op2(e21,e22) = e21
| op2(e21,e23) = e21 )
& ( op2(e20,e21) = e21
| op2(e21,e21) = e21
| op2(e22,e21) = e21
| op2(e23,e21) = e21 )
& ( op2(e21,e20) = e22
| op2(e21,e21) = e22
| op2(e21,e22) = e22
| op2(e21,e23) = e22 )
& ( op2(e20,e21) = e22
| op2(e21,e21) = e22
| op2(e22,e21) = e22
| op2(e23,e21) = e22 )
& ( op2(e21,e20) = e23
| op2(e21,e21) = e23
| op2(e21,e22) = e23
| op2(e21,e23) = e23 )
& ( op2(e20,e21) = e23
| op2(e21,e21) = e23
| op2(e22,e21) = e23
| op2(e23,e21) = e23 )
& ( op2(e22,e20) = e20
| op2(e22,e21) = e20
| op2(e22,e22) = e20
| op2(e22,e23) = e20 )
& ( op2(e20,e22) = e20
| op2(e21,e22) = e20
| op2(e22,e22) = e20
| op2(e23,e22) = e20 )
& ( op2(e22,e20) = e21
| op2(e22,e21) = e21
| op2(e22,e22) = e21
| op2(e22,e23) = e21 )
& ( op2(e20,e22) = e21
| op2(e21,e22) = e21
| op2(e22,e22) = e21
| op2(e23,e22) = e21 )
& ( op2(e22,e20) = e22
| op2(e22,e21) = e22
| op2(e22,e22) = e22
| op2(e22,e23) = e22 )
& ( op2(e20,e22) = e22
| op2(e21,e22) = e22
| op2(e22,e22) = e22
| op2(e23,e22) = e22 )
& ( op2(e22,e20) = e23
| op2(e22,e21) = e23
| op2(e22,e22) = e23
| op2(e22,e23) = e23 )
& ( op2(e20,e22) = e23
| op2(e21,e22) = e23
| op2(e22,e22) = e23
| op2(e23,e22) = e23 )
& ( op2(e23,e20) = e20
| op2(e23,e21) = e20
| op2(e23,e22) = e20
| op2(e23,e23) = e20 )
& ( op2(e20,e23) = e20
| op2(e21,e23) = e20
| op2(e22,e23) = e20
| op2(e23,e23) = e20 )
& ( op2(e23,e20) = e21
| op2(e23,e21) = e21
| op2(e23,e22) = e21
| op2(e23,e23) = e21 )
& ( op2(e20,e23) = e21
| op2(e21,e23) = e21
| op2(e22,e23) = e21
| op2(e23,e23) = e21 )
& ( op2(e23,e20) = e22
| op2(e23,e21) = e22
| op2(e23,e22) = e22
| op2(e23,e23) = e22 )
& ( op2(e20,e23) = e22
| op2(e21,e23) = e22
| op2(e22,e23) = e22
| op2(e23,e23) = e22 )
& ( op2(e23,e20) = e23
| op2(e23,e21) = e23
| op2(e23,e22) = e23
| op2(e23,e23) = e23 )
& ( op2(e20,e23) = e23
| op2(e21,e23) = e23
| op2(e22,e23) = e23
| op2(e23,e23) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax4) ).
fof(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/sandbox/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/sandbox/benchmark/theBenchmark.p',ax6) ).
fof(f7,axiom,
( e10 != e11
& e10 != e12
& e10 != e13
& e11 != e12
& e11 != e13
& e12 != e13 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax7) ).
fof(f8,axiom,
( e20 != e21
& e20 != e22
& e20 != e23
& e21 != e22
& e21 != e23
& e22 != e23 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax8) ).
fof(f10,axiom,
( ( op1(op1(e10,e10),op1(e10,e10)) = e10
& op1(op1(e11,e10),op1(e11,e10)) = e11
& op1(op1(e12,e10),op1(e12,e10)) = e12
& op1(op1(e13,e10),op1(e13,e10)) = e13 )
| ( op1(op1(e10,e11),op1(e10,e11)) = e10
& op1(op1(e11,e11),op1(e11,e11)) = e11
& op1(op1(e12,e11),op1(e12,e11)) = e12
& op1(op1(e13,e11),op1(e13,e11)) = e13 )
| ( op1(op1(e10,e12),op1(e10,e12)) = e10
& op1(op1(e11,e12),op1(e11,e12)) = e11
& op1(op1(e12,e12),op1(e12,e12)) = e12
& op1(op1(e13,e12),op1(e13,e12)) = e13 )
| ( op1(op1(e10,e13),op1(e10,e13)) = e10
& op1(op1(e11,e13),op1(e11,e13)) = e11
& op1(op1(e12,e13),op1(e12,e13)) = e12
& op1(op1(e13,e13),op1(e13,e13)) = e13 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax10) ).
fof(f11,axiom,
( ( op2(op2(e20,e20),op2(e20,e20)) = e20
& op2(op2(e21,e20),op2(e21,e20)) = e21
& op2(op2(e22,e20),op2(e22,e20)) = e22
& op2(op2(e23,e20),op2(e23,e20)) = e23 )
| ( op2(op2(e20,e21),op2(e20,e21)) = e20
& op2(op2(e21,e21),op2(e21,e21)) = e21
& op2(op2(e22,e21),op2(e22,e21)) = e22
& op2(op2(e23,e21),op2(e23,e21)) = e23 )
| ( op2(op2(e20,e22),op2(e20,e22)) = e20
& op2(op2(e21,e22),op2(e21,e22)) = e21
& op2(op2(e22,e22),op2(e22,e22)) = e22
& op2(op2(e23,e22),op2(e23,e22)) = e23 )
| ( op2(op2(e20,e23),op2(e20,e23)) = e20
& op2(op2(e21,e23),op2(e21,e23)) = e21
& op2(op2(e22,e23),op2(e22,e23)) = e22
& op2(op2(e23,e23),op2(e23,e23)) = e23 ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax11) ).
fof(f12,axiom,
( e10 = op1(op1(e11,e11),e11)
& e12 = op1(e11,e11)
& e13 = op1(e11,op1(op1(e11,e11),e11)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax12) ).
fof(f13,axiom,
( e20 = op2(op2(e21,e21),e21)
& e22 = op2(e21,e21)
& e23 = op2(e21,op2(op2(e21,e21),e21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax13) ).
fof(f14,axiom,
( h1(e11) = e20
& h1(e10) = op2(op2(e20,e20),e20)
& h1(e12) = op2(e20,e20)
& h1(e13) = op2(e20,op2(op2(e20,e20),e20)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax14) ).
fof(f15,axiom,
( h2(e11) = e21
& h2(e10) = op2(op2(e21,e21),e21)
& h2(e12) = op2(e21,e21)
& h2(e13) = op2(e21,op2(op2(e21,e21),e21)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax15) ).
fof(f16,axiom,
( h3(e11) = e22
& h3(e10) = op2(op2(e22,e22),e22)
& h3(e12) = op2(e22,e22)
& h3(e13) = op2(e22,op2(op2(e22,e22),e22)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax16) ).
fof(f17,axiom,
( h4(e11) = e23
& h4(e10) = op2(op2(e23,e23),e23)
& h4(e12) = op2(e23,e23)
& h4(e13) = op2(e23,op2(op2(e23,e23),e23)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax17) ).
fof(f18,conjecture,
( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',co1) ).
fof(f19,negated_conjecture,
~ ( ( h1(op1(e10,e10)) = op2(h1(e10),h1(e10))
& h1(op1(e10,e11)) = op2(h1(e10),h1(e11))
& h1(op1(e10,e12)) = op2(h1(e10),h1(e12))
& h1(op1(e10,e13)) = op2(h1(e10),h1(e13))
& h1(op1(e11,e10)) = op2(h1(e11),h1(e10))
& h1(op1(e11,e11)) = op2(h1(e11),h1(e11))
& h1(op1(e11,e12)) = op2(h1(e11),h1(e12))
& h1(op1(e11,e13)) = op2(h1(e11),h1(e13))
& h1(op1(e12,e10)) = op2(h1(e12),h1(e10))
& h1(op1(e12,e11)) = op2(h1(e12),h1(e11))
& h1(op1(e12,e12)) = op2(h1(e12),h1(e12))
& h1(op1(e12,e13)) = op2(h1(e12),h1(e13))
& h1(op1(e13,e10)) = op2(h1(e13),h1(e10))
& h1(op1(e13,e11)) = op2(h1(e13),h1(e11))
& h1(op1(e13,e12)) = op2(h1(e13),h1(e12))
& h1(op1(e13,e13)) = op2(h1(e13),h1(e13))
& ( h1(e10) = e20
| h1(e11) = e20
| h1(e12) = e20
| h1(e13) = e20 )
& ( h1(e10) = e21
| h1(e11) = e21
| h1(e12) = e21
| h1(e13) = e21 )
& ( h1(e10) = e22
| h1(e11) = e22
| h1(e12) = e22
| h1(e13) = e22 )
& ( h1(e10) = e23
| h1(e11) = e23
| h1(e12) = e23
| h1(e13) = e23 ) )
| ( h2(op1(e10,e10)) = op2(h2(e10),h2(e10))
& h2(op1(e10,e11)) = op2(h2(e10),h2(e11))
& h2(op1(e10,e12)) = op2(h2(e10),h2(e12))
& h2(op1(e10,e13)) = op2(h2(e10),h2(e13))
& h2(op1(e11,e10)) = op2(h2(e11),h2(e10))
& h2(op1(e11,e11)) = op2(h2(e11),h2(e11))
& h2(op1(e11,e12)) = op2(h2(e11),h2(e12))
& h2(op1(e11,e13)) = op2(h2(e11),h2(e13))
& h2(op1(e12,e10)) = op2(h2(e12),h2(e10))
& h2(op1(e12,e11)) = op2(h2(e12),h2(e11))
& h2(op1(e12,e12)) = op2(h2(e12),h2(e12))
& h2(op1(e12,e13)) = op2(h2(e12),h2(e13))
& h2(op1(e13,e10)) = op2(h2(e13),h2(e10))
& h2(op1(e13,e11)) = op2(h2(e13),h2(e11))
& h2(op1(e13,e12)) = op2(h2(e13),h2(e12))
& h2(op1(e13,e13)) = op2(h2(e13),h2(e13))
& ( h2(e10) = e20
| h2(e11) = e20
| h2(e12) = e20
| h2(e13) = e20 )
& ( h2(e10) = e21
| h2(e11) = e21
| h2(e12) = e21
| h2(e13) = e21 )
& ( h2(e10) = e22
| h2(e11) = e22
| h2(e12) = e22
| h2(e13) = e22 )
& ( h2(e10) = e23
| h2(e11) = e23
| h2(e12) = e23
| h2(e13) = e23 ) )
| ( h3(op1(e10,e10)) = op2(h3(e10),h3(e10))
& h3(op1(e10,e11)) = op2(h3(e10),h3(e11))
& h3(op1(e10,e12)) = op2(h3(e10),h3(e12))
& h3(op1(e10,e13)) = op2(h3(e10),h3(e13))
& h3(op1(e11,e10)) = op2(h3(e11),h3(e10))
& h3(op1(e11,e11)) = op2(h3(e11),h3(e11))
& h3(op1(e11,e12)) = op2(h3(e11),h3(e12))
& h3(op1(e11,e13)) = op2(h3(e11),h3(e13))
& h3(op1(e12,e10)) = op2(h3(e12),h3(e10))
& h3(op1(e12,e11)) = op2(h3(e12),h3(e11))
& h3(op1(e12,e12)) = op2(h3(e12),h3(e12))
& h3(op1(e12,e13)) = op2(h3(e12),h3(e13))
& h3(op1(e13,e10)) = op2(h3(e13),h3(e10))
& h3(op1(e13,e11)) = op2(h3(e13),h3(e11))
& h3(op1(e13,e12)) = op2(h3(e13),h3(e12))
& h3(op1(e13,e13)) = op2(h3(e13),h3(e13))
& ( h3(e10) = e20
| h3(e11) = e20
| h3(e12) = e20
| h3(e13) = e20 )
& ( h3(e10) = e21
| h3(e11) = e21
| h3(e12) = e21
| h3(e13) = e21 )
& ( h3(e10) = e22
| h3(e11) = e22
| h3(e12) = e22
| h3(e13) = e22 )
& ( h3(e10) = e23
| h3(e11) = e23
| h3(e12) = e23
| h3(e13) = e23 ) )
| ( h4(op1(e10,e10)) = op2(h4(e10),h4(e10))
& h4(op1(e10,e11)) = op2(h4(e10),h4(e11))
& h4(op1(e10,e12)) = op2(h4(e10),h4(e12))
& h4(op1(e10,e13)) = op2(h4(e10),h4(e13))
& h4(op1(e11,e10)) = op2(h4(e11),h4(e10))
& h4(op1(e11,e11)) = op2(h4(e11),h4(e11))
& h4(op1(e11,e12)) = op2(h4(e11),h4(e12))
& h4(op1(e11,e13)) = op2(h4(e11),h4(e13))
& h4(op1(e12,e10)) = op2(h4(e12),h4(e10))
& h4(op1(e12,e11)) = op2(h4(e12),h4(e11))
& h4(op1(e12,e12)) = op2(h4(e12),h4(e12))
& h4(op1(e12,e13)) = op2(h4(e12),h4(e13))
& h4(op1(e13,e10)) = op2(h4(e13),h4(e10))
& h4(op1(e13,e11)) = op2(h4(e13),h4(e11))
& h4(op1(e13,e12)) = op2(h4(e13),h4(e12))
& h4(op1(e13,e13)) = op2(h4(e13),h4(e13))
& ( h4(e10) = e20
| h4(e11) = e20
| h4(e12) = e20
| h4(e13) = e20 )
& ( h4(e10) = e21
| h4(e11) = e21
| h4(e12) = e21
| h4(e13) = e21 )
& ( h4(e10) = e22
| h4(e11) = e22
| h4(e12) = e22
| h4(e13) = e22 )
& ( h4(e10) = e23
| h4(e11) = e23
| h4(e12) = e23
| h4(e13) = e23 ) ) ),
inference(negated_conjecture,[status(cth)],[f18]) ).
fof(f20,plain,
( ( h1(op1(e10,e10)) != op2(h1(e10),h1(e10))
| h1(op1(e10,e11)) != op2(h1(e10),h1(e11))
| h1(op1(e10,e12)) != op2(h1(e10),h1(e12))
| h1(op1(e10,e13)) != op2(h1(e10),h1(e13))
| h1(op1(e11,e10)) != op2(h1(e11),h1(e10))
| h1(op1(e11,e11)) != op2(h1(e11),h1(e11))
| h1(op1(e11,e12)) != op2(h1(e11),h1(e12))
| h1(op1(e11,e13)) != op2(h1(e11),h1(e13))
| h1(op1(e12,e10)) != op2(h1(e12),h1(e10))
| h1(op1(e12,e11)) != op2(h1(e12),h1(e11))
| h1(op1(e12,e12)) != op2(h1(e12),h1(e12))
| h1(op1(e12,e13)) != op2(h1(e12),h1(e13))
| h1(op1(e13,e10)) != op2(h1(e13),h1(e10))
| h1(op1(e13,e11)) != op2(h1(e13),h1(e11))
| h1(op1(e13,e12)) != op2(h1(e13),h1(e12))
| h1(op1(e13,e13)) != op2(h1(e13),h1(e13))
| ( e20 != h1(e10)
& e20 != h1(e11)
& e20 != h1(e12)
& e20 != h1(e13) )
| ( e21 != h1(e10)
& e21 != h1(e11)
& e21 != h1(e12)
& e21 != h1(e13) )
| ( e22 != h1(e10)
& e22 != h1(e11)
& e22 != h1(e12)
& e22 != h1(e13) )
| ( e23 != h1(e10)
& e23 != h1(e11)
& e23 != h1(e12)
& e23 != h1(e13) ) )
& ( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| ( e20 != h2(e10)
& e20 != h2(e11)
& e20 != h2(e12)
& e20 != h2(e13) )
| ( e21 != h2(e10)
& e21 != h2(e11)
& e21 != h2(e12)
& e21 != h2(e13) )
| ( e22 != h2(e10)
& e22 != h2(e11)
& e22 != h2(e12)
& e22 != h2(e13) )
| ( e23 != h2(e10)
& e23 != h2(e11)
& e23 != h2(e12)
& e23 != h2(e13) ) )
& ( h3(op1(e10,e10)) != op2(h3(e10),h3(e10))
| h3(op1(e10,e11)) != op2(h3(e10),h3(e11))
| h3(op1(e10,e12)) != op2(h3(e10),h3(e12))
| h3(op1(e10,e13)) != op2(h3(e10),h3(e13))
| h3(op1(e11,e10)) != op2(h3(e11),h3(e10))
| h3(op1(e11,e11)) != op2(h3(e11),h3(e11))
| h3(op1(e11,e12)) != op2(h3(e11),h3(e12))
| h3(op1(e11,e13)) != op2(h3(e11),h3(e13))
| h3(op1(e12,e10)) != op2(h3(e12),h3(e10))
| h3(op1(e12,e11)) != op2(h3(e12),h3(e11))
| h3(op1(e12,e12)) != op2(h3(e12),h3(e12))
| h3(op1(e12,e13)) != op2(h3(e12),h3(e13))
| h3(op1(e13,e10)) != op2(h3(e13),h3(e10))
| h3(op1(e13,e11)) != op2(h3(e13),h3(e11))
| h3(op1(e13,e12)) != op2(h3(e13),h3(e12))
| h3(op1(e13,e13)) != op2(h3(e13),h3(e13))
| ( e20 != h3(e10)
& e20 != h3(e11)
& e20 != h3(e12)
& e20 != h3(e13) )
| ( e21 != h3(e10)
& e21 != h3(e11)
& e21 != h3(e12)
& e21 != h3(e13) )
| ( e22 != h3(e10)
& e22 != h3(e11)
& e22 != h3(e12)
& e22 != h3(e13) )
| ( e23 != h3(e10)
& e23 != h3(e11)
& e23 != h3(e12)
& e23 != h3(e13) ) )
& ( h4(op1(e10,e10)) != op2(h4(e10),h4(e10))
| h4(op1(e10,e11)) != op2(h4(e10),h4(e11))
| h4(op1(e10,e12)) != op2(h4(e10),h4(e12))
| h4(op1(e10,e13)) != op2(h4(e10),h4(e13))
| h4(op1(e11,e10)) != op2(h4(e11),h4(e10))
| h4(op1(e11,e11)) != op2(h4(e11),h4(e11))
| h4(op1(e11,e12)) != op2(h4(e11),h4(e12))
| h4(op1(e11,e13)) != op2(h4(e11),h4(e13))
| h4(op1(e12,e10)) != op2(h4(e12),h4(e10))
| h4(op1(e12,e11)) != op2(h4(e12),h4(e11))
| h4(op1(e12,e12)) != op2(h4(e12),h4(e12))
| h4(op1(e12,e13)) != op2(h4(e12),h4(e13))
| h4(op1(e13,e10)) != op2(h4(e13),h4(e10))
| h4(op1(e13,e11)) != op2(h4(e13),h4(e11))
| h4(op1(e13,e12)) != op2(h4(e13),h4(e12))
| h4(op1(e13,e13)) != op2(h4(e13),h4(e13))
| ( e20 != h4(e10)
& e20 != h4(e11)
& e20 != h4(e12)
& e20 != h4(e13) )
| ( e21 != h4(e10)
& e21 != h4(e11)
& e21 != h4(e12)
& e21 != h4(e13) )
| ( e22 != h4(e10)
& e22 != h4(e11)
& e22 != h4(e12)
& e22 != h4(e13) )
| ( e23 != h4(e10)
& e23 != h4(e11)
& e23 != h4(e12)
& e23 != h4(e13) ) ) ),
inference(ennf_transformation,[],[f19]) ).
fof(f21,plain,
( op1(e10,e10) = e13
| op1(e10,e10) = e12
| op1(e10,e10) = e11
| e10 = op1(e10,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f22,plain,
( e13 = op1(e10,e11)
| e12 = op1(e10,e11)
| e11 = op1(e10,e11)
| e10 = op1(e10,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f24,plain,
( e13 = op1(e10,e13)
| e12 = op1(e10,e13)
| e11 = op1(e10,e13)
| e10 = op1(e10,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f28,plain,
( e13 = op1(e11,e13)
| e12 = op1(e11,e13)
| e11 = op1(e11,e13)
| e10 = op1(e11,e13) ),
inference(cnf_transformation,[],[f1]) ).
fof(f29,plain,
( e13 = op1(e12,e10)
| e12 = op1(e12,e10)
| e11 = op1(e12,e10)
| e10 = op1(e12,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f33,plain,
( e13 = op1(e13,e10)
| e12 = op1(e13,e10)
| e11 = op1(e13,e10)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f1]) ).
fof(f34,plain,
( e13 = op1(e13,e11)
| e12 = op1(e13,e11)
| e11 = op1(e13,e11)
| e10 = op1(e13,e11) ),
inference(cnf_transformation,[],[f1]) ).
fof(f39,plain,
( e11 = op1(e10,e13)
| e11 = op1(e10,e12)
| e11 = op1(e10,e11)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f40,plain,
( e11 = op1(e13,e10)
| e11 = op1(e12,e10)
| e11 = op1(e11,e10)
| op1(e10,e10) = e11 ),
inference(cnf_transformation,[],[f2]) ).
fof(f41,plain,
( e12 = op1(e10,e13)
| e12 = op1(e10,e12)
| e12 = op1(e10,e11)
| op1(e10,e10) = e12 ),
inference(cnf_transformation,[],[f2]) ).
fof(f45,plain,
( e10 = op1(e11,e13)
| e10 = op1(e11,e12)
| e10 = op1(e11,e11)
| e10 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f47,plain,
( e11 = op1(e11,e13)
| e11 = op1(e11,e12)
| e11 = op1(e11,e11)
| e11 = op1(e11,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f57,plain,
( e12 = op1(e12,e13)
| e12 = op1(e12,e12)
| e12 = op1(e12,e11)
| e12 = op1(e12,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f58,plain,
( e12 = op1(e13,e12)
| e12 = op1(e12,e12)
| e12 = op1(e11,e12)
| e12 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f60,plain,
( e13 = op1(e13,e12)
| e13 = op1(e12,e12)
| e13 = op1(e11,e12)
| e13 = op1(e10,e12) ),
inference(cnf_transformation,[],[f2]) ).
fof(f61,plain,
( e10 = op1(e13,e13)
| e10 = op1(e13,e12)
| e10 = op1(e13,e11)
| e10 = op1(e13,e10) ),
inference(cnf_transformation,[],[f2]) ).
fof(f68,plain,
( e13 = op1(e13,e13)
| e13 = op1(e12,e13)
| e13 = op1(e11,e13)
| e13 = op1(e10,e13) ),
inference(cnf_transformation,[],[f2]) ).
fof(f69,plain,
( op2(e20,e20) = e23
| op2(e20,e20) = e22
| op2(e20,e20) = e21
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f71,plain,
( e23 = op2(e20,e22)
| e22 = op2(e20,e22)
| e21 = op2(e20,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f75,plain,
( e23 = op2(e21,e22)
| e22 = op2(e21,e22)
| e21 = op2(e21,e22)
| e20 = op2(e21,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f77,plain,
( e23 = op2(e22,e20)
| e22 = op2(e22,e20)
| e21 = op2(e22,e20)
| e20 = op2(e22,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f79,plain,
( e23 = op2(e22,e22)
| e22 = op2(e22,e22)
| e21 = op2(e22,e22)
| e20 = op2(e22,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f80,plain,
( e23 = op2(e22,e23)
| e22 = op2(e22,e23)
| e21 = op2(e22,e23)
| e20 = op2(e22,e23) ),
inference(cnf_transformation,[],[f3]) ).
fof(f81,plain,
( e23 = op2(e23,e20)
| e22 = op2(e23,e20)
| e21 = op2(e23,e20)
| e20 = op2(e23,e20) ),
inference(cnf_transformation,[],[f3]) ).
fof(f83,plain,
( e23 = op2(e23,e22)
| e22 = op2(e23,e22)
| e21 = op2(e23,e22)
| e20 = op2(e23,e22) ),
inference(cnf_transformation,[],[f3]) ).
fof(f85,plain,
( e20 = op2(e20,e23)
| e20 = op2(e20,e22)
| e20 = op2(e20,e21)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f86,plain,
( e20 = op2(e23,e20)
| e20 = op2(e22,e20)
| e20 = op2(e21,e20)
| e20 = op2(e20,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f87,plain,
( e21 = op2(e20,e23)
| e21 = op2(e20,e22)
| e21 = op2(e20,e21)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f88,plain,
( e21 = op2(e23,e20)
| e21 = op2(e22,e20)
| e21 = op2(e21,e20)
| op2(e20,e20) = e21 ),
inference(cnf_transformation,[],[f4]) ).
fof(f89,plain,
( e22 = op2(e20,e23)
| e22 = op2(e20,e22)
| e22 = op2(e20,e21)
| op2(e20,e20) = e22 ),
inference(cnf_transformation,[],[f4]) ).
fof(f91,plain,
( e23 = op2(e20,e23)
| e23 = op2(e20,e22)
| e23 = op2(e20,e21)
| op2(e20,e20) = e23 ),
inference(cnf_transformation,[],[f4]) ).
fof(f93,plain,
( e20 = op2(e21,e23)
| e20 = op2(e21,e22)
| e20 = op2(e21,e21)
| e20 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f95,plain,
( e21 = op2(e21,e23)
| e21 = op2(e21,e22)
| e21 = op2(e21,e21)
| e21 = op2(e21,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f96,plain,
( e21 = op2(e23,e21)
| e21 = op2(e22,e21)
| e21 = op2(e21,e21)
| e21 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f100,plain,
( e23 = op2(e23,e21)
| e23 = op2(e22,e21)
| e23 = op2(e21,e21)
| e23 = op2(e20,e21) ),
inference(cnf_transformation,[],[f4]) ).
fof(f102,plain,
( e20 = op2(e23,e22)
| e20 = op2(e22,e22)
| e20 = op2(e21,e22)
| e20 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f103,plain,
( e21 = op2(e22,e23)
| e21 = op2(e22,e22)
| e21 = op2(e22,e21)
| e21 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f107,plain,
( e23 = op2(e22,e23)
| e23 = op2(e22,e22)
| e23 = op2(e22,e21)
| e23 = op2(e22,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f108,plain,
( e23 = op2(e23,e22)
| e23 = op2(e22,e22)
| e23 = op2(e21,e22)
| e23 = op2(e20,e22) ),
inference(cnf_transformation,[],[f4]) ).
fof(f110,plain,
( e20 = op2(e23,e23)
| e20 = op2(e22,e23)
| e20 = op2(e21,e23)
| e20 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f114,plain,
( e22 = op2(e23,e23)
| e22 = op2(e22,e23)
| e22 = op2(e21,e23)
| e22 = op2(e20,e23) ),
inference(cnf_transformation,[],[f4]) ).
fof(f115,plain,
( e23 = op2(e23,e23)
| e23 = op2(e23,e22)
| e23 = op2(e23,e21)
| e23 = op2(e23,e20) ),
inference(cnf_transformation,[],[f4]) ).
fof(f118,plain,
op1(e13,e11) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f121,plain,
op1(e13,e10) != op1(e13,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f123,plain,
op1(e12,e12) != op1(e12,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f125,plain,
op1(e12,e11) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f127,plain,
op1(e12,e10) != op1(e12,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f128,plain,
op1(e12,e10) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f130,plain,
op1(e11,e11) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f131,plain,
op1(e11,e11) != op1(e11,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f132,plain,
op1(e11,e10) != op1(e11,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f137,plain,
op1(e10,e11) != op1(e10,e12),
inference(cnf_transformation,[],[f5]) ).
fof(f138,plain,
op1(e10,e10) != op1(e10,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f140,plain,
op1(e10,e10) != op1(e10,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f142,plain,
op1(e11,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f144,plain,
op1(e10,e13) != op1(e13,e13),
inference(cnf_transformation,[],[f5]) ).
fof(f153,plain,
op1(e12,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f154,plain,
op1(e11,e11) != op1(e13,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f155,plain,
op1(e11,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f157,plain,
op1(e10,e11) != op1(e12,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f158,plain,
op1(e10,e11) != op1(e11,e11),
inference(cnf_transformation,[],[f5]) ).
fof(f160,plain,
op1(e11,e10) != op1(e13,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f161,plain,
op1(e11,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f163,plain,
op1(e10,e10) != op1(e12,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f164,plain,
op1(e10,e10) != op1(e11,e10),
inference(cnf_transformation,[],[f5]) ).
fof(f166,plain,
op2(e23,e21) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f167,plain,
op2(e23,e21) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f168,plain,
op2(e23,e20) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f171,plain,
op2(e22,e22) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f172,plain,
op2(e22,e21) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f173,plain,
op2(e22,e21) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f175,plain,
op2(e22,e20) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f176,plain,
op2(e22,e20) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f179,plain,
op2(e21,e21) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f181,plain,
op2(e21,e20) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f185,plain,
op2(e20,e21) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f187,plain,
op2(e20,e20) != op2(e20,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f188,plain,
op2(e20,e20) != op2(e20,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f189,plain,
op2(e22,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f190,plain,
op2(e21,e23) != op2(e23,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f191,plain,
op2(e21,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f193,plain,
op2(e20,e23) != op2(e22,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f194,plain,
op2(e20,e23) != op2(e21,e23),
inference(cnf_transformation,[],[f6]) ).
fof(f195,plain,
op2(e22,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f196,plain,
op2(e21,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f197,plain,
op2(e21,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f198,plain,
op2(e20,e22) != op2(e23,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f199,plain,
op2(e20,e22) != op2(e22,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f200,plain,
op2(e20,e22) != op2(e21,e22),
inference(cnf_transformation,[],[f6]) ).
fof(f205,plain,
op2(e20,e21) != op2(e22,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f206,plain,
op2(e20,e21) != op2(e21,e21),
inference(cnf_transformation,[],[f6]) ).
fof(f208,plain,
op2(e21,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f209,plain,
op2(e21,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f210,plain,
op2(e20,e20) != op2(e23,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f211,plain,
op2(e20,e20) != op2(e22,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f212,plain,
op2(e20,e20) != op2(e21,e20),
inference(cnf_transformation,[],[f6]) ).
fof(f213,plain,
e12 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f214,plain,
e11 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f215,plain,
e11 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f216,plain,
e10 != e13,
inference(cnf_transformation,[],[f7]) ).
fof(f217,plain,
e10 != e12,
inference(cnf_transformation,[],[f7]) ).
fof(f218,plain,
e10 != e11,
inference(cnf_transformation,[],[f7]) ).
fof(f219,plain,
e22 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f221,plain,
e21 != e22,
inference(cnf_transformation,[],[f8]) ).
fof(f222,plain,
e20 != e23,
inference(cnf_transformation,[],[f8]) ).
fof(f241,plain,
( e13 = op1(op1(e13,e10),op1(e13,e10))
| ~ sP1 ),
inference(cnf_transformation,[],[f10]) ).
fof(f242,plain,
( e12 = op1(op1(e12,e10),op1(e12,e10))
| ~ sP1 ),
inference(cnf_transformation,[],[f10]) ).
fof(f243,plain,
( e11 = op1(op1(e11,e10),op1(e11,e10))
| ~ sP1 ),
inference(cnf_transformation,[],[f10]) ).
fof(f244,plain,
( e10 = op1(op1(e10,e10),op1(e10,e10))
| ~ sP1 ),
inference(cnf_transformation,[],[f10]) ).
fof(f246,plain,
( e12 = op1(op1(e12,e11),op1(e12,e11))
| ~ sP0 ),
inference(cnf_transformation,[],[f10]) ).
fof(f247,plain,
( e11 = op1(op1(e11,e11),op1(e11,e11))
| ~ sP0 ),
inference(cnf_transformation,[],[f10]) ).
fof(f251,plain,
( e10 = op1(op1(e10,e13),op1(e10,e13))
| e11 = op1(op1(e11,e12),op1(e11,e12))
| sP0
| sP1 ),
inference(cnf_transformation,[],[f10]) ).
fof(f252,plain,
( e10 = op1(op1(e10,e13),op1(e10,e13))
| e10 = op1(op1(e10,e12),op1(e10,e12))
| sP0
| sP1 ),
inference(cnf_transformation,[],[f10]) ).
fof(f254,plain,
( e11 = op1(op1(e11,e13),op1(e11,e13))
| e12 = op1(op1(e12,e12),op1(e12,e12))
| sP0
| sP1 ),
inference(cnf_transformation,[],[f10]) ).
fof(f255,plain,
( e11 = op1(op1(e11,e13),op1(e11,e13))
| e11 = op1(op1(e11,e12),op1(e11,e12))
| sP0
| sP1 ),
inference(cnf_transformation,[],[f10]) ).
fof(f256,plain,
( e11 = op1(op1(e11,e13),op1(e11,e13))
| e10 = op1(op1(e10,e12),op1(e10,e12))
| sP0
| sP1 ),
inference(cnf_transformation,[],[f10]) ).
fof(f265,plain,
( e23 = op2(op2(e23,e20),op2(e23,e20))
| ~ sP3 ),
inference(cnf_transformation,[],[f11]) ).
fof(f267,plain,
( e21 = op2(op2(e21,e20),op2(e21,e20))
| ~ sP3 ),
inference(cnf_transformation,[],[f11]) ).
fof(f268,plain,
( e20 = op2(op2(e20,e20),op2(e20,e20))
| ~ sP3 ),
inference(cnf_transformation,[],[f11]) ).
fof(f270,plain,
( e22 = op2(op2(e22,e21),op2(e22,e21))
| ~ sP2 ),
inference(cnf_transformation,[],[f11]) ).
fof(f271,plain,
( e21 = op2(op2(e21,e21),op2(e21,e21))
| ~ sP2 ),
inference(cnf_transformation,[],[f11]) ).
fof(f273,plain,
( e20 = op2(op2(e20,e23),op2(e20,e23))
| e23 = op2(op2(e23,e22),op2(e23,e22))
| sP2
| sP3 ),
inference(cnf_transformation,[],[f11]) ).
fof(f274,plain,
( e20 = op2(op2(e20,e23),op2(e20,e23))
| e22 = op2(op2(e22,e22),op2(e22,e22))
| sP2
| sP3 ),
inference(cnf_transformation,[],[f11]) ).
fof(f275,plain,
( e20 = op2(op2(e20,e23),op2(e20,e23))
| e21 = op2(op2(e21,e22),op2(e21,e22))
| sP2
| sP3 ),
inference(cnf_transformation,[],[f11]) ).
fof(f276,plain,
( e20 = op2(op2(e20,e23),op2(e20,e23))
| e20 = op2(op2(e20,e22),op2(e20,e22))
| sP2
| sP3 ),
inference(cnf_transformation,[],[f11]) ).
fof(f279,plain,
( e21 = op2(op2(e21,e23),op2(e21,e23))
| e21 = op2(op2(e21,e22),op2(e21,e22))
| sP2
| sP3 ),
inference(cnf_transformation,[],[f11]) ).
fof(f280,plain,
( e21 = op2(op2(e21,e23),op2(e21,e23))
| e20 = op2(op2(e20,e22),op2(e20,e22))
| sP2
| sP3 ),
inference(cnf_transformation,[],[f11]) ).
fof(f282,plain,
( e22 = op2(op2(e22,e23),op2(e22,e23))
| e22 = op2(op2(e22,e22),op2(e22,e22))
| sP2
| sP3 ),
inference(cnf_transformation,[],[f11]) ).
fof(f283,plain,
( e22 = op2(op2(e22,e23),op2(e22,e23))
| e21 = op2(op2(e21,e22),op2(e21,e22))
| sP2
| sP3 ),
inference(cnf_transformation,[],[f11]) ).
fof(f289,plain,
e13 = op1(e11,op1(op1(e11,e11),e11)),
inference(cnf_transformation,[],[f12]) ).
fof(f290,plain,
e12 = op1(e11,e11),
inference(cnf_transformation,[],[f12]) ).
fof(f291,plain,
e10 = op1(op1(e11,e11),e11),
inference(cnf_transformation,[],[f12]) ).
fof(f292,plain,
e23 = op2(e21,op2(op2(e21,e21),e21)),
inference(cnf_transformation,[],[f13]) ).
fof(f293,plain,
e22 = op2(e21,e21),
inference(cnf_transformation,[],[f13]) ).
fof(f294,plain,
e20 = op2(op2(e21,e21),e21),
inference(cnf_transformation,[],[f13]) ).
fof(f297,plain,
h1(e10) = op2(op2(e20,e20),e20),
inference(cnf_transformation,[],[f14]) ).
fof(f298,plain,
e20 = h1(e11),
inference(cnf_transformation,[],[f14]) ).
fof(f299,plain,
op2(e21,op2(op2(e21,e21),e21)) = h2(e13),
inference(cnf_transformation,[],[f15]) ).
fof(f300,plain,
op2(e21,e21) = h2(e12),
inference(cnf_transformation,[],[f15]) ).
fof(f301,plain,
op2(op2(e21,e21),e21) = h2(e10),
inference(cnf_transformation,[],[f15]) ).
fof(f302,plain,
e21 = h2(e11),
inference(cnf_transformation,[],[f15]) ).
fof(f305,plain,
h3(e10) = op2(op2(e22,e22),e22),
inference(cnf_transformation,[],[f16]) ).
fof(f306,plain,
e22 = h3(e11),
inference(cnf_transformation,[],[f16]) ).
fof(f310,plain,
e23 = h4(e11),
inference(cnf_transformation,[],[f17]) ).
fof(f322,plain,
( e20 != h2(e10)
| ~ sP9 ),
inference(cnf_transformation,[],[f20]) ).
fof(f325,plain,
( e21 != h2(e11)
| ~ sP8 ),
inference(cnf_transformation,[],[f20]) ).
fof(f372,plain,
( e23 != h2(e13)
| e22 != h2(e12)
| sP8
| sP9
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(cnf_transformation,[],[f20]) ).
fof(f415,plain,
( e11 = op1(op1(e11,e13),op1(e11,e13))
| e10 = op1(op1(e10,e12),op1(e10,e12))
| sP0
| ~ sP1 ),
inference(consistent_polarity_flipping,[],[f256]) ).
fof(f416,plain,
( e11 = op1(op1(e11,e13),op1(e11,e13))
| e11 = op1(op1(e11,e12),op1(e11,e12))
| sP0
| ~ sP1 ),
inference(consistent_polarity_flipping,[],[f255]) ).
fof(f417,plain,
( e11 = op1(op1(e11,e13),op1(e11,e13))
| e12 = op1(op1(e12,e12),op1(e12,e12))
| sP0
| ~ sP1 ),
inference(consistent_polarity_flipping,[],[f254]) ).
fof(f419,plain,
( e10 = op1(op1(e10,e13),op1(e10,e13))
| e10 = op1(op1(e10,e12),op1(e10,e12))
| sP0
| ~ sP1 ),
inference(consistent_polarity_flipping,[],[f252]) ).
fof(f420,plain,
( e10 = op1(op1(e10,e13),op1(e10,e13))
| e11 = op1(op1(e11,e12),op1(e11,e12))
| sP0
| ~ sP1 ),
inference(consistent_polarity_flipping,[],[f251]) ).
fof(f423,plain,
( e10 = op1(op1(e10,e10),op1(e10,e10))
| sP1 ),
inference(consistent_polarity_flipping,[],[f244]) ).
fof(f424,plain,
( e11 = op1(op1(e11,e10),op1(e11,e10))
| sP1 ),
inference(consistent_polarity_flipping,[],[f243]) ).
fof(f425,plain,
( e12 = op1(op1(e12,e10),op1(e12,e10))
| sP1 ),
inference(consistent_polarity_flipping,[],[f242]) ).
fof(f426,plain,
( e13 = op1(op1(e13,e10),op1(e13,e10))
| sP1 ),
inference(consistent_polarity_flipping,[],[f241]) ).
fof(f432,plain,
( e22 = op2(op2(e22,e23),op2(e22,e23))
| e21 = op2(op2(e21,e22),op2(e21,e22))
| ~ sP2
| sP3 ),
inference(consistent_polarity_flipping,[],[f283]) ).
fof(f433,plain,
( e22 = op2(op2(e22,e23),op2(e22,e23))
| e22 = op2(op2(e22,e22),op2(e22,e22))
| ~ sP2
| sP3 ),
inference(consistent_polarity_flipping,[],[f282]) ).
fof(f435,plain,
( e21 = op2(op2(e21,e23),op2(e21,e23))
| e20 = op2(op2(e20,e22),op2(e20,e22))
| ~ sP2
| sP3 ),
inference(consistent_polarity_flipping,[],[f280]) ).
fof(f436,plain,
( e21 = op2(op2(e21,e23),op2(e21,e23))
| e21 = op2(op2(e21,e22),op2(e21,e22))
| ~ sP2
| sP3 ),
inference(consistent_polarity_flipping,[],[f279]) ).
fof(f439,plain,
( e20 = op2(op2(e20,e23),op2(e20,e23))
| e20 = op2(op2(e20,e22),op2(e20,e22))
| ~ sP2
| sP3 ),
inference(consistent_polarity_flipping,[],[f276]) ).
fof(f440,plain,
( e20 = op2(op2(e20,e23),op2(e20,e23))
| e21 = op2(op2(e21,e22),op2(e21,e22))
| ~ sP2
| sP3 ),
inference(consistent_polarity_flipping,[],[f275]) ).
fof(f441,plain,
( e20 = op2(op2(e20,e23),op2(e20,e23))
| e22 = op2(op2(e22,e22),op2(e22,e22))
| ~ sP2
| sP3 ),
inference(consistent_polarity_flipping,[],[f274]) ).
fof(f442,plain,
( e20 = op2(op2(e20,e23),op2(e20,e23))
| e23 = op2(op2(e23,e22),op2(e23,e22))
| ~ sP2
| sP3 ),
inference(consistent_polarity_flipping,[],[f273]) ).
fof(f444,plain,
( e21 = op2(op2(e21,e21),op2(e21,e21))
| sP2 ),
inference(consistent_polarity_flipping,[],[f271]) ).
fof(f445,plain,
( e22 = op2(op2(e22,e21),op2(e22,e21))
| sP2 ),
inference(consistent_polarity_flipping,[],[f270]) ).
fof(f481,plain,
( e23 != h2(e13)
| e22 != h2(e12)
| sP8
| ~ sP9
| h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| h2(op1(e10,e10)) != op2(h2(e10),h2(e10)) ),
inference(consistent_polarity_flipping,[],[f372]) ).
fof(f519,plain,
( e20 != h2(e10)
| sP9 ),
inference(consistent_polarity_flipping,[],[f322]) ).
fof(f542,definition,
( spl12_4
<=> e20 = h1(e11) ),
introduced(definition,[new_symbols(definition,[spl12_4])],[avatar_definition]) ).
fof(f543,plain,
( e20 = h1(e11)
| ~ spl12_4 ),
inference(avatar_component_clause,[],[f542]) ).
fof(f547,definition,
( spl12_5
<=> e20 = h1(e10) ),
introduced(definition,[new_symbols(definition,[spl12_5])],[avatar_definition]) ).
fof(f548,plain,
( e20 = h1(e10)
| ~ spl12_5 ),
inference(avatar_component_clause,[],[f547]) ).
fof(f566,definition,
( spl12_9
<=> e21 = h1(e11) ),
introduced(definition,[new_symbols(definition,[spl12_9])],[avatar_definition]) ).
fof(f567,plain,
( e21 = h1(e11)
| ~ spl12_9 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f568,plain,
( e21 != h1(e11)
| spl12_9 ),
inference(avatar_component_clause,[],[f566]) ).
fof(f576,definition,
( spl12_11
<=> sP9 ),
introduced(definition,[new_symbols(definition,[spl12_11])],[avatar_definition]) ).
fof(f590,definition,
( spl12_14
<=> e20 = h2(e11) ),
introduced(definition,[new_symbols(definition,[spl12_14])],[avatar_definition]) ).
fof(f591,plain,
( e20 = h2(e11)
| ~ spl12_14 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f592,plain,
( e20 != h2(e11)
| spl12_14 ),
inference(avatar_component_clause,[],[f590]) ).
fof(f595,definition,
( spl12_15
<=> e20 = h2(e10) ),
introduced(definition,[new_symbols(definition,[spl12_15])],[avatar_definition]) ).
fof(f596,plain,
( e20 = h2(e10)
| ~ spl12_15 ),
inference(avatar_component_clause,[],[f595]) ).
fof(f598,plain,
( spl12_11
| ~ spl12_15 ),
inference(avatar_split_clause,[],[f519,f595,f576]) ).
fof(f600,definition,
( spl12_16
<=> sP8 ),
introduced(definition,[new_symbols(definition,[spl12_16])],[avatar_definition]) ).
fof(f614,definition,
( spl12_19
<=> e21 = h2(e11) ),
introduced(definition,[new_symbols(definition,[spl12_19])],[avatar_definition]) ).
fof(f615,plain,
( e21 = h2(e11)
| ~ spl12_19 ),
inference(avatar_component_clause,[],[f614]) ).
fof(f617,plain,
( ~ spl12_16
| ~ spl12_19 ),
inference(avatar_split_clause,[],[f325,f614,f600]) ).
fof(f638,definition,
( spl12_24
<=> e20 = h3(e11) ),
introduced(definition,[new_symbols(definition,[spl12_24])],[avatar_definition]) ).
fof(f639,plain,
( e20 = h3(e11)
| ~ spl12_24 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f640,plain,
( e20 != h3(e11)
| spl12_24 ),
inference(avatar_component_clause,[],[f638]) ).
fof(f643,definition,
( spl12_25
<=> e20 = h3(e10) ),
introduced(definition,[new_symbols(definition,[spl12_25])],[avatar_definition]) ).
fof(f644,plain,
( e20 = h3(e10)
| ~ spl12_25 ),
inference(avatar_component_clause,[],[f643]) ).
fof(f710,definition,
( spl12_39
<=> e21 = h4(e11) ),
introduced(definition,[new_symbols(definition,[spl12_39])],[avatar_definition]) ).
fof(f711,plain,
( e21 = h4(e11)
| ~ spl12_39 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f712,plain,
( e21 != h4(e11)
| spl12_39 ),
inference(avatar_component_clause,[],[f710]) ).
fof(f832,definition,
( spl12_65
<=> h2(op1(e10,e10)) = op2(h2(e10),h2(e10)) ),
introduced(definition,[new_symbols(definition,[spl12_65])],[avatar_definition]) ).
fof(f834,plain,
( h2(op1(e10,e10)) != op2(h2(e10),h2(e10))
| spl12_65 ),
inference(avatar_component_clause,[],[f832]) ).
fof(f836,definition,
( spl12_66
<=> h2(op1(e10,e11)) = op2(h2(e10),h2(e11)) ),
introduced(definition,[new_symbols(definition,[spl12_66])],[avatar_definition]) ).
fof(f838,plain,
( h2(op1(e10,e11)) != op2(h2(e10),h2(e11))
| spl12_66 ),
inference(avatar_component_clause,[],[f836]) ).
fof(f840,definition,
( spl12_67
<=> h2(op1(e10,e12)) = op2(h2(e10),h2(e12)) ),
introduced(definition,[new_symbols(definition,[spl12_67])],[avatar_definition]) ).
fof(f842,plain,
( h2(op1(e10,e12)) != op2(h2(e10),h2(e12))
| spl12_67 ),
inference(avatar_component_clause,[],[f840]) ).
fof(f844,definition,
( spl12_68
<=> h2(op1(e10,e13)) = op2(h2(e10),h2(e13)) ),
introduced(definition,[new_symbols(definition,[spl12_68])],[avatar_definition]) ).
fof(f846,plain,
( h2(op1(e10,e13)) != op2(h2(e10),h2(e13))
| spl12_68 ),
inference(avatar_component_clause,[],[f844]) ).
fof(f848,definition,
( spl12_69
<=> h2(op1(e11,e10)) = op2(h2(e11),h2(e10)) ),
introduced(definition,[new_symbols(definition,[spl12_69])],[avatar_definition]) ).
fof(f850,plain,
( h2(op1(e11,e10)) != op2(h2(e11),h2(e10))
| spl12_69 ),
inference(avatar_component_clause,[],[f848]) ).
fof(f852,definition,
( spl12_70
<=> h2(op1(e11,e11)) = op2(h2(e11),h2(e11)) ),
introduced(definition,[new_symbols(definition,[spl12_70])],[avatar_definition]) ).
fof(f854,plain,
( h2(op1(e11,e11)) != op2(h2(e11),h2(e11))
| spl12_70 ),
inference(avatar_component_clause,[],[f852]) ).
fof(f856,definition,
( spl12_71
<=> h2(op1(e11,e12)) = op2(h2(e11),h2(e12)) ),
introduced(definition,[new_symbols(definition,[spl12_71])],[avatar_definition]) ).
fof(f858,plain,
( h2(op1(e11,e12)) != op2(h2(e11),h2(e12))
| spl12_71 ),
inference(avatar_component_clause,[],[f856]) ).
fof(f860,definition,
( spl12_72
<=> h2(op1(e11,e13)) = op2(h2(e11),h2(e13)) ),
introduced(definition,[new_symbols(definition,[spl12_72])],[avatar_definition]) ).
fof(f862,plain,
( h2(op1(e11,e13)) != op2(h2(e11),h2(e13))
| spl12_72 ),
inference(avatar_component_clause,[],[f860]) ).
fof(f864,definition,
( spl12_73
<=> h2(op1(e12,e10)) = op2(h2(e12),h2(e10)) ),
introduced(definition,[new_symbols(definition,[spl12_73])],[avatar_definition]) ).
fof(f866,plain,
( h2(op1(e12,e10)) != op2(h2(e12),h2(e10))
| spl12_73 ),
inference(avatar_component_clause,[],[f864]) ).
fof(f868,definition,
( spl12_74
<=> h2(op1(e12,e11)) = op2(h2(e12),h2(e11)) ),
introduced(definition,[new_symbols(definition,[spl12_74])],[avatar_definition]) ).
fof(f870,plain,
( h2(op1(e12,e11)) != op2(h2(e12),h2(e11))
| spl12_74 ),
inference(avatar_component_clause,[],[f868]) ).
fof(f872,definition,
( spl12_75
<=> h2(op1(e12,e12)) = op2(h2(e12),h2(e12)) ),
introduced(definition,[new_symbols(definition,[spl12_75])],[avatar_definition]) ).
fof(f874,plain,
( h2(op1(e12,e12)) != op2(h2(e12),h2(e12))
| spl12_75 ),
inference(avatar_component_clause,[],[f872]) ).
fof(f876,definition,
( spl12_76
<=> h2(op1(e12,e13)) = op2(h2(e12),h2(e13)) ),
introduced(definition,[new_symbols(definition,[spl12_76])],[avatar_definition]) ).
fof(f878,plain,
( h2(op1(e12,e13)) != op2(h2(e12),h2(e13))
| spl12_76 ),
inference(avatar_component_clause,[],[f876]) ).
fof(f880,definition,
( spl12_77
<=> h2(op1(e13,e10)) = op2(h2(e13),h2(e10)) ),
introduced(definition,[new_symbols(definition,[spl12_77])],[avatar_definition]) ).
fof(f882,plain,
( h2(op1(e13,e10)) != op2(h2(e13),h2(e10))
| spl12_77 ),
inference(avatar_component_clause,[],[f880]) ).
fof(f884,definition,
( spl12_78
<=> h2(op1(e13,e11)) = op2(h2(e13),h2(e11)) ),
introduced(definition,[new_symbols(definition,[spl12_78])],[avatar_definition]) ).
fof(f886,plain,
( h2(op1(e13,e11)) != op2(h2(e13),h2(e11))
| spl12_78 ),
inference(avatar_component_clause,[],[f884]) ).
fof(f888,definition,
( spl12_79
<=> h2(op1(e13,e12)) = op2(h2(e13),h2(e12)) ),
introduced(definition,[new_symbols(definition,[spl12_79])],[avatar_definition]) ).
fof(f890,plain,
( h2(op1(e13,e12)) != op2(h2(e13),h2(e12))
| spl12_79 ),
inference(avatar_component_clause,[],[f888]) ).
fof(f892,definition,
( spl12_80
<=> h2(op1(e13,e13)) = op2(h2(e13),h2(e13)) ),
introduced(definition,[new_symbols(definition,[spl12_80])],[avatar_definition]) ).
fof(f894,plain,
( h2(op1(e13,e13)) != op2(h2(e13),h2(e13))
| spl12_80 ),
inference(avatar_component_clause,[],[f892]) ).
fof(f905,definition,
( spl12_83
<=> e22 = h2(e12) ),
introduced(definition,[new_symbols(definition,[spl12_83])],[avatar_definition]) ).
fof(f906,plain,
( e22 = h2(e12)
| ~ spl12_83 ),
inference(avatar_component_clause,[],[f905]) ).
fof(f936,definition,
( spl12_88
<=> e23 = h2(e13) ),
introduced(definition,[new_symbols(definition,[spl12_88])],[avatar_definition]) ).
fof(f937,plain,
( e23 = h2(e13)
| ~ spl12_88 ),
inference(avatar_component_clause,[],[f936]) ).
fof(f940,plain,
( ~ spl12_65
| ~ spl12_66
| ~ spl12_67
| ~ spl12_68
| ~ spl12_69
| ~ spl12_70
| ~ spl12_71
| ~ spl12_72
| ~ spl12_73
| ~ spl12_74
| ~ spl12_75
| ~ spl12_76
| ~ spl12_77
| ~ spl12_78
| ~ spl12_79
| ~ spl12_80
| ~ spl12_11
| spl12_16
| ~ spl12_83
| ~ spl12_88 ),
inference(avatar_split_clause,[],[f481,f936,f905,f600,f576,f892,f888,f884,f880,f876,f872,f868,f864,f860,f856,f852,f848,f844,f840,f836,f832]) ).
fof(f1022,definition,
( spl12_108
<=> e22 = h3(e11) ),
introduced(definition,[new_symbols(definition,[spl12_108])],[avatar_definition]) ).
fof(f1023,plain,
( e22 = h3(e11)
| ~ spl12_108 ),
inference(avatar_component_clause,[],[f1022]) ).
fof(f1144,definition,
( spl12_134
<=> e23 = h4(e11) ),
introduced(definition,[new_symbols(definition,[spl12_134])],[avatar_definition]) ).
fof(f1145,plain,
( e23 = h4(e11)
| ~ spl12_134 ),
inference(avatar_component_clause,[],[f1144]) ).
fof(f1167,plain,
spl12_134,
inference(avatar_split_clause,[],[f310,f1144]) ).
fof(f1168,plain,
spl12_108,
inference(avatar_split_clause,[],[f306,f1022]) ).
fof(f1169,plain,
spl12_19,
inference(avatar_split_clause,[],[f302,f614]) ).
fof(f1170,plain,
spl12_4,
inference(avatar_split_clause,[],[f298,f542]) ).
fof(f1172,definition,
( spl12_137
<=> sP3 ),
introduced(definition,[new_symbols(definition,[spl12_137])],[avatar_definition]) ).
fof(f1176,definition,
( spl12_138
<=> e23 = op2(op2(e23,e20),op2(e23,e20)) ),
introduced(definition,[new_symbols(definition,[spl12_138])],[avatar_definition]) ).
fof(f1178,plain,
( e23 = op2(op2(e23,e20),op2(e23,e20))
| ~ spl12_138 ),
inference(avatar_component_clause,[],[f1176]) ).
fof(f1179,plain,
( ~ spl12_137
| spl12_138 ),
inference(avatar_split_clause,[],[f265,f1176,f1172]) ).
fof(f1186,definition,
( spl12_140
<=> e21 = op2(op2(e21,e20),op2(e21,e20)) ),
introduced(definition,[new_symbols(definition,[spl12_140])],[avatar_definition]) ).
fof(f1188,plain,
( e21 = op2(op2(e21,e20),op2(e21,e20))
| ~ spl12_140 ),
inference(avatar_component_clause,[],[f1186]) ).
fof(f1189,plain,
( ~ spl12_137
| spl12_140 ),
inference(avatar_split_clause,[],[f267,f1186,f1172]) ).
fof(f1191,definition,
( spl12_141
<=> e20 = op2(op2(e20,e20),op2(e20,e20)) ),
introduced(definition,[new_symbols(definition,[spl12_141])],[avatar_definition]) ).
fof(f1193,plain,
( e20 = op2(op2(e20,e20),op2(e20,e20))
| ~ spl12_141 ),
inference(avatar_component_clause,[],[f1191]) ).
fof(f1194,plain,
( ~ spl12_137
| spl12_141 ),
inference(avatar_split_clause,[],[f268,f1191,f1172]) ).
fof(f1196,definition,
( spl12_142
<=> sP2 ),
introduced(definition,[new_symbols(definition,[spl12_142])],[avatar_definition]) ).
fof(f1205,definition,
( spl12_144
<=> e22 = op2(op2(e22,e21),op2(e22,e21)) ),
introduced(definition,[new_symbols(definition,[spl12_144])],[avatar_definition]) ).
fof(f1207,plain,
( e22 = op2(op2(e22,e21),op2(e22,e21))
| ~ spl12_144 ),
inference(avatar_component_clause,[],[f1205]) ).
fof(f1208,plain,
( spl12_142
| spl12_144 ),
inference(avatar_split_clause,[],[f445,f1205,f1196]) ).
fof(f1210,definition,
( spl12_145
<=> e21 = op2(op2(e21,e21),op2(e21,e21)) ),
introduced(definition,[new_symbols(definition,[spl12_145])],[avatar_definition]) ).
fof(f1212,plain,
( e21 = op2(op2(e21,e21),op2(e21,e21))
| ~ spl12_145 ),
inference(avatar_component_clause,[],[f1210]) ).
fof(f1213,plain,
( spl12_142
| spl12_145 ),
inference(avatar_split_clause,[],[f444,f1210,f1196]) ).
fof(f1220,definition,
( spl12_147
<=> e23 = op2(op2(e23,e22),op2(e23,e22)) ),
introduced(definition,[new_symbols(definition,[spl12_147])],[avatar_definition]) ).
fof(f1222,plain,
( e23 = op2(op2(e23,e22),op2(e23,e22))
| ~ spl12_147 ),
inference(avatar_component_clause,[],[f1220]) ).
fof(f1224,definition,
( spl12_148
<=> e20 = op2(op2(e20,e23),op2(e20,e23)) ),
introduced(definition,[new_symbols(definition,[spl12_148])],[avatar_definition]) ).
fof(f1226,plain,
( e20 = op2(op2(e20,e23),op2(e20,e23))
| ~ spl12_148 ),
inference(avatar_component_clause,[],[f1224]) ).
fof(f1227,plain,
( spl12_137
| ~ spl12_142
| spl12_147
| spl12_148 ),
inference(avatar_split_clause,[],[f442,f1224,f1220,f1196,f1172]) ).
fof(f1229,definition,
( spl12_149
<=> e22 = op2(op2(e22,e22),op2(e22,e22)) ),
introduced(definition,[new_symbols(definition,[spl12_149])],[avatar_definition]) ).
fof(f1231,plain,
( e22 = op2(op2(e22,e22),op2(e22,e22))
| ~ spl12_149 ),
inference(avatar_component_clause,[],[f1229]) ).
fof(f1232,plain,
( spl12_137
| ~ spl12_142
| spl12_149
| spl12_148 ),
inference(avatar_split_clause,[],[f441,f1224,f1229,f1196,f1172]) ).
fof(f1234,definition,
( spl12_150
<=> e21 = op2(op2(e21,e22),op2(e21,e22)) ),
introduced(definition,[new_symbols(definition,[spl12_150])],[avatar_definition]) ).
fof(f1236,plain,
( e21 = op2(op2(e21,e22),op2(e21,e22))
| ~ spl12_150 ),
inference(avatar_component_clause,[],[f1234]) ).
fof(f1237,plain,
( spl12_137
| ~ spl12_142
| spl12_150
| spl12_148 ),
inference(avatar_split_clause,[],[f440,f1224,f1234,f1196,f1172]) ).
fof(f1239,definition,
( spl12_151
<=> e20 = op2(op2(e20,e22),op2(e20,e22)) ),
introduced(definition,[new_symbols(definition,[spl12_151])],[avatar_definition]) ).
fof(f1241,plain,
( e20 = op2(op2(e20,e22),op2(e20,e22))
| ~ spl12_151 ),
inference(avatar_component_clause,[],[f1239]) ).
fof(f1242,plain,
( spl12_137
| ~ spl12_142
| spl12_151
| spl12_148 ),
inference(avatar_split_clause,[],[f439,f1224,f1239,f1196,f1172]) ).
fof(f1244,definition,
( spl12_152
<=> e21 = op2(op2(e21,e23),op2(e21,e23)) ),
introduced(definition,[new_symbols(definition,[spl12_152])],[avatar_definition]) ).
fof(f1246,plain,
( e21 = op2(op2(e21,e23),op2(e21,e23))
| ~ spl12_152 ),
inference(avatar_component_clause,[],[f1244]) ).
fof(f1249,plain,
( spl12_137
| ~ spl12_142
| spl12_150
| spl12_152 ),
inference(avatar_split_clause,[],[f436,f1244,f1234,f1196,f1172]) ).
fof(f1250,plain,
( spl12_137
| ~ spl12_142
| spl12_151
| spl12_152 ),
inference(avatar_split_clause,[],[f435,f1244,f1239,f1196,f1172]) ).
fof(f1252,definition,
( spl12_153
<=> e22 = op2(op2(e22,e23),op2(e22,e23)) ),
introduced(definition,[new_symbols(definition,[spl12_153])],[avatar_definition]) ).
fof(f1254,plain,
( e22 = op2(op2(e22,e23),op2(e22,e23))
| ~ spl12_153 ),
inference(avatar_component_clause,[],[f1252]) ).
fof(f1256,plain,
( spl12_137
| ~ spl12_142
| spl12_149
| spl12_153 ),
inference(avatar_split_clause,[],[f433,f1252,f1229,f1196,f1172]) ).
fof(f1257,plain,
( spl12_137
| ~ spl12_142
| spl12_150
| spl12_153 ),
inference(avatar_split_clause,[],[f432,f1252,f1234,f1196,f1172]) ).
fof(f1268,definition,
( spl12_155
<=> sP1 ),
introduced(definition,[new_symbols(definition,[spl12_155])],[avatar_definition]) ).
fof(f1272,definition,
( spl12_156
<=> e13 = op1(op1(e13,e10),op1(e13,e10)) ),
introduced(definition,[new_symbols(definition,[spl12_156])],[avatar_definition]) ).
fof(f1274,plain,
( e13 = op1(op1(e13,e10),op1(e13,e10))
| ~ spl12_156 ),
inference(avatar_component_clause,[],[f1272]) ).
fof(f1275,plain,
( spl12_155
| spl12_156 ),
inference(avatar_split_clause,[],[f426,f1272,f1268]) ).
fof(f1277,definition,
( spl12_157
<=> e12 = op1(op1(e12,e10),op1(e12,e10)) ),
introduced(definition,[new_symbols(definition,[spl12_157])],[avatar_definition]) ).
fof(f1279,plain,
( e12 = op1(op1(e12,e10),op1(e12,e10))
| ~ spl12_157 ),
inference(avatar_component_clause,[],[f1277]) ).
fof(f1280,plain,
( spl12_155
| spl12_157 ),
inference(avatar_split_clause,[],[f425,f1277,f1268]) ).
fof(f1282,definition,
( spl12_158
<=> e11 = op1(op1(e11,e10),op1(e11,e10)) ),
introduced(definition,[new_symbols(definition,[spl12_158])],[avatar_definition]) ).
fof(f1284,plain,
( e11 = op1(op1(e11,e10),op1(e11,e10))
| ~ spl12_158 ),
inference(avatar_component_clause,[],[f1282]) ).
fof(f1285,plain,
( spl12_155
| spl12_158 ),
inference(avatar_split_clause,[],[f424,f1282,f1268]) ).
fof(f1287,definition,
( spl12_159
<=> e10 = op1(op1(e10,e10),op1(e10,e10)) ),
introduced(definition,[new_symbols(definition,[spl12_159])],[avatar_definition]) ).
fof(f1289,plain,
( e10 = op1(op1(e10,e10),op1(e10,e10))
| ~ spl12_159 ),
inference(avatar_component_clause,[],[f1287]) ).
fof(f1290,plain,
( spl12_155
| spl12_159 ),
inference(avatar_split_clause,[],[f423,f1287,f1268]) ).
fof(f1292,definition,
( spl12_160
<=> sP0 ),
introduced(definition,[new_symbols(definition,[spl12_160])],[avatar_definition]) ).
fof(f1301,definition,
( spl12_162
<=> e12 = op1(op1(e12,e11),op1(e12,e11)) ),
introduced(definition,[new_symbols(definition,[spl12_162])],[avatar_definition]) ).
fof(f1303,plain,
( e12 = op1(op1(e12,e11),op1(e12,e11))
| ~ spl12_162 ),
inference(avatar_component_clause,[],[f1301]) ).
fof(f1304,plain,
( ~ spl12_160
| spl12_162 ),
inference(avatar_split_clause,[],[f246,f1301,f1292]) ).
fof(f1306,definition,
( spl12_163
<=> e11 = op1(op1(e11,e11),op1(e11,e11)) ),
introduced(definition,[new_symbols(definition,[spl12_163])],[avatar_definition]) ).
fof(f1308,plain,
( e11 = op1(op1(e11,e11),op1(e11,e11))
| ~ spl12_163 ),
inference(avatar_component_clause,[],[f1306]) ).
fof(f1309,plain,
( ~ spl12_160
| spl12_163 ),
inference(avatar_split_clause,[],[f247,f1306,f1292]) ).
fof(f1320,definition,
( spl12_166
<=> e10 = op1(op1(e10,e13),op1(e10,e13)) ),
introduced(definition,[new_symbols(definition,[spl12_166])],[avatar_definition]) ).
fof(f1322,plain,
( e10 = op1(op1(e10,e13),op1(e10,e13))
| ~ spl12_166 ),
inference(avatar_component_clause,[],[f1320]) ).
fof(f1325,definition,
( spl12_167
<=> e12 = op1(op1(e12,e12),op1(e12,e12)) ),
introduced(definition,[new_symbols(definition,[spl12_167])],[avatar_definition]) ).
fof(f1327,plain,
( e12 = op1(op1(e12,e12),op1(e12,e12))
| ~ spl12_167 ),
inference(avatar_component_clause,[],[f1325]) ).
fof(f1330,definition,
( spl12_168
<=> e11 = op1(op1(e11,e12),op1(e11,e12)) ),
introduced(definition,[new_symbols(definition,[spl12_168])],[avatar_definition]) ).
fof(f1332,plain,
( e11 = op1(op1(e11,e12),op1(e11,e12))
| ~ spl12_168 ),
inference(avatar_component_clause,[],[f1330]) ).
fof(f1333,plain,
( ~ spl12_155
| spl12_160
| spl12_168
| spl12_166 ),
inference(avatar_split_clause,[],[f420,f1320,f1330,f1292,f1268]) ).
fof(f1335,definition,
( spl12_169
<=> e10 = op1(op1(e10,e12),op1(e10,e12)) ),
introduced(definition,[new_symbols(definition,[spl12_169])],[avatar_definition]) ).
fof(f1337,plain,
( e10 = op1(op1(e10,e12),op1(e10,e12))
| ~ spl12_169 ),
inference(avatar_component_clause,[],[f1335]) ).
fof(f1338,plain,
( ~ spl12_155
| spl12_160
| spl12_169
| spl12_166 ),
inference(avatar_split_clause,[],[f419,f1320,f1335,f1292,f1268]) ).
fof(f1340,definition,
( spl12_170
<=> e11 = op1(op1(e11,e13),op1(e11,e13)) ),
introduced(definition,[new_symbols(definition,[spl12_170])],[avatar_definition]) ).
fof(f1342,plain,
( e11 = op1(op1(e11,e13),op1(e11,e13))
| ~ spl12_170 ),
inference(avatar_component_clause,[],[f1340]) ).
fof(f1344,plain,
( ~ spl12_155
| spl12_160
| spl12_167
| spl12_170 ),
inference(avatar_split_clause,[],[f417,f1340,f1325,f1292,f1268]) ).
fof(f1345,plain,
( ~ spl12_155
| spl12_160
| spl12_168
| spl12_170 ),
inference(avatar_split_clause,[],[f416,f1340,f1330,f1292,f1268]) ).
fof(f1346,plain,
( ~ spl12_155
| spl12_160
| spl12_169
| spl12_170 ),
inference(avatar_split_clause,[],[f415,f1340,f1335,f1292,f1268]) ).
fof(f1364,definition,
( spl12_173
<=> e20 = op2(e20,e20) ),
introduced(definition,[new_symbols(definition,[spl12_173])],[avatar_definition]) ).
fof(f1365,plain,
( e20 != op2(e20,e20)
| spl12_173 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f1366,plain,
( e20 = op2(e20,e20)
| ~ spl12_173 ),
inference(avatar_component_clause,[],[f1364]) ).
fof(f1368,definition,
( spl12_174
<=> e20 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl12_174])],[avatar_definition]) ).
fof(f1372,definition,
( spl12_175
<=> e20 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl12_175])],[avatar_definition]) ).
fof(f1374,plain,
( e20 = op2(e20,e22)
| ~ spl12_175 ),
inference(avatar_component_clause,[],[f1372]) ).
fof(f1376,definition,
( spl12_176
<=> e20 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl12_176])],[avatar_definition]) ).
fof(f1378,plain,
( e20 = op2(e20,e23)
| ~ spl12_176 ),
inference(avatar_component_clause,[],[f1376]) ).
fof(f1379,plain,
( spl12_173
| spl12_174
| spl12_175
| spl12_176 ),
inference(avatar_split_clause,[],[f85,f1376,f1372,f1368,f1364]) ).
fof(f1381,definition,
( spl12_177
<=> e20 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl12_177])],[avatar_definition]) ).
fof(f1382,plain,
( e20 != op2(e21,e20)
| spl12_177 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f1383,plain,
( e20 = op2(e21,e20)
| ~ spl12_177 ),
inference(avatar_component_clause,[],[f1381]) ).
fof(f1385,definition,
( spl12_178
<=> e20 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl12_178])],[avatar_definition]) ).
fof(f1386,plain,
( e20 != op2(e22,e20)
| spl12_178 ),
inference(avatar_component_clause,[],[f1385]) ).
fof(f1389,definition,
( spl12_179
<=> e20 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl12_179])],[avatar_definition]) ).
fof(f1391,plain,
( e20 = op2(e23,e20)
| ~ spl12_179 ),
inference(avatar_component_clause,[],[f1389]) ).
fof(f1392,plain,
( spl12_173
| spl12_177
| spl12_178
| spl12_179 ),
inference(avatar_split_clause,[],[f86,f1389,f1385,f1381,f1364]) ).
fof(f1394,definition,
( spl12_180
<=> op2(e20,e20) = e21 ),
introduced(definition,[new_symbols(definition,[spl12_180])],[avatar_definition]) ).
fof(f1395,plain,
( op2(e20,e20) != e21
| spl12_180 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f1396,plain,
( op2(e20,e20) = e21
| ~ spl12_180 ),
inference(avatar_component_clause,[],[f1394]) ).
fof(f1398,definition,
( spl12_181
<=> e21 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl12_181])],[avatar_definition]) ).
fof(f1400,plain,
( e21 = op2(e20,e21)
| ~ spl12_181 ),
inference(avatar_component_clause,[],[f1398]) ).
fof(f1402,definition,
( spl12_182
<=> e21 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl12_182])],[avatar_definition]) ).
fof(f1404,plain,
( e21 = op2(e20,e22)
| ~ spl12_182 ),
inference(avatar_component_clause,[],[f1402]) ).
fof(f1406,definition,
( spl12_183
<=> e21 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl12_183])],[avatar_definition]) ).
fof(f1409,plain,
( spl12_180
| spl12_181
| spl12_182
| spl12_183 ),
inference(avatar_split_clause,[],[f87,f1406,f1402,f1398,f1394]) ).
fof(f1411,definition,
( spl12_184
<=> e21 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl12_184])],[avatar_definition]) ).
fof(f1413,plain,
( e21 = op2(e21,e20)
| ~ spl12_184 ),
inference(avatar_component_clause,[],[f1411]) ).
fof(f1415,definition,
( spl12_185
<=> e21 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl12_185])],[avatar_definition]) ).
fof(f1417,plain,
( e21 = op2(e22,e20)
| ~ spl12_185 ),
inference(avatar_component_clause,[],[f1415]) ).
fof(f1419,definition,
( spl12_186
<=> e21 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl12_186])],[avatar_definition]) ).
fof(f1421,plain,
( e21 = op2(e23,e20)
| ~ spl12_186 ),
inference(avatar_component_clause,[],[f1419]) ).
fof(f1422,plain,
( spl12_180
| spl12_184
| spl12_185
| spl12_186 ),
inference(avatar_split_clause,[],[f88,f1419,f1415,f1411,f1394]) ).
fof(f1424,definition,
( spl12_187
<=> op2(e20,e20) = e22 ),
introduced(definition,[new_symbols(definition,[spl12_187])],[avatar_definition]) ).
fof(f1426,plain,
( op2(e20,e20) = e22
| ~ spl12_187 ),
inference(avatar_component_clause,[],[f1424]) ).
fof(f1428,definition,
( spl12_188
<=> e22 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl12_188])],[avatar_definition]) ).
fof(f1429,plain,
( e22 != op2(e20,e21)
| spl12_188 ),
inference(avatar_component_clause,[],[f1428]) ).
fof(f1432,definition,
( spl12_189
<=> e22 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl12_189])],[avatar_definition]) ).
fof(f1434,plain,
( e22 = op2(e20,e22)
| ~ spl12_189 ),
inference(avatar_component_clause,[],[f1432]) ).
fof(f1436,definition,
( spl12_190
<=> e22 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl12_190])],[avatar_definition]) ).
fof(f1438,plain,
( e22 = op2(e20,e23)
| ~ spl12_190 ),
inference(avatar_component_clause,[],[f1436]) ).
fof(f1439,plain,
( spl12_187
| spl12_188
| spl12_189
| spl12_190 ),
inference(avatar_split_clause,[],[f89,f1436,f1432,f1428,f1424]) ).
fof(f1441,definition,
( spl12_191
<=> e22 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl12_191])],[avatar_definition]) ).
fof(f1442,plain,
( e22 != op2(e21,e20)
| spl12_191 ),
inference(avatar_component_clause,[],[f1441]) ).
fof(f1443,plain,
( e22 = op2(e21,e20)
| ~ spl12_191 ),
inference(avatar_component_clause,[],[f1441]) ).
fof(f1445,definition,
( spl12_192
<=> e22 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl12_192])],[avatar_definition]) ).
fof(f1449,definition,
( spl12_193
<=> e22 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl12_193])],[avatar_definition]) ).
fof(f1451,plain,
( e22 = op2(e23,e20)
| ~ spl12_193 ),
inference(avatar_component_clause,[],[f1449]) ).
fof(f1454,definition,
( spl12_194
<=> op2(e20,e20) = e23 ),
introduced(definition,[new_symbols(definition,[spl12_194])],[avatar_definition]) ).
fof(f1458,definition,
( spl12_195
<=> e23 = op2(e20,e21) ),
introduced(definition,[new_symbols(definition,[spl12_195])],[avatar_definition]) ).
fof(f1460,plain,
( e23 = op2(e20,e21)
| ~ spl12_195 ),
inference(avatar_component_clause,[],[f1458]) ).
fof(f1462,definition,
( spl12_196
<=> e23 = op2(e20,e22) ),
introduced(definition,[new_symbols(definition,[spl12_196])],[avatar_definition]) ).
fof(f1464,plain,
( e23 = op2(e20,e22)
| ~ spl12_196 ),
inference(avatar_component_clause,[],[f1462]) ).
fof(f1466,definition,
( spl12_197
<=> e23 = op2(e20,e23) ),
introduced(definition,[new_symbols(definition,[spl12_197])],[avatar_definition]) ).
fof(f1469,plain,
( spl12_194
| spl12_195
| spl12_196
| spl12_197 ),
inference(avatar_split_clause,[],[f91,f1466,f1462,f1458,f1454]) ).
fof(f1471,definition,
( spl12_198
<=> e23 = op2(e21,e20) ),
introduced(definition,[new_symbols(definition,[spl12_198])],[avatar_definition]) ).
fof(f1473,plain,
( e23 = op2(e21,e20)
| ~ spl12_198 ),
inference(avatar_component_clause,[],[f1471]) ).
fof(f1475,definition,
( spl12_199
<=> e23 = op2(e22,e20) ),
introduced(definition,[new_symbols(definition,[spl12_199])],[avatar_definition]) ).
fof(f1479,definition,
( spl12_200
<=> e23 = op2(e23,e20) ),
introduced(definition,[new_symbols(definition,[spl12_200])],[avatar_definition]) ).
fof(f1480,plain,
( e23 != op2(e23,e20)
| spl12_200 ),
inference(avatar_component_clause,[],[f1479]) ).
fof(f1484,definition,
( spl12_201
<=> e20 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl12_201])],[avatar_definition]) ).
fof(f1486,plain,
( e20 = op2(e21,e21)
| ~ spl12_201 ),
inference(avatar_component_clause,[],[f1484]) ).
fof(f1488,definition,
( spl12_202
<=> e20 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl12_202])],[avatar_definition]) ).
fof(f1490,plain,
( e20 = op2(e21,e22)
| ~ spl12_202 ),
inference(avatar_component_clause,[],[f1488]) ).
fof(f1492,definition,
( spl12_203
<=> e20 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl12_203])],[avatar_definition]) ).
fof(f1494,plain,
( e20 = op2(e21,e23)
| ~ spl12_203 ),
inference(avatar_component_clause,[],[f1492]) ).
fof(f1495,plain,
( spl12_177
| spl12_201
| spl12_202
| spl12_203 ),
inference(avatar_split_clause,[],[f93,f1492,f1488,f1484,f1381]) ).
fof(f1497,definition,
( spl12_204
<=> e20 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl12_204])],[avatar_definition]) ).
fof(f1499,plain,
( e20 = op2(e22,e21)
| ~ spl12_204 ),
inference(avatar_component_clause,[],[f1497]) ).
fof(f1506,definition,
( spl12_206
<=> e21 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl12_206])],[avatar_definition]) ).
fof(f1508,plain,
( e21 = op2(e21,e21)
| ~ spl12_206 ),
inference(avatar_component_clause,[],[f1506]) ).
fof(f1510,definition,
( spl12_207
<=> e21 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl12_207])],[avatar_definition]) ).
fof(f1512,plain,
( e21 = op2(e21,e22)
| ~ spl12_207 ),
inference(avatar_component_clause,[],[f1510]) ).
fof(f1514,definition,
( spl12_208
<=> e21 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl12_208])],[avatar_definition]) ).
fof(f1516,plain,
( e21 = op2(e21,e23)
| ~ spl12_208 ),
inference(avatar_component_clause,[],[f1514]) ).
fof(f1517,plain,
( spl12_184
| spl12_206
| spl12_207
| spl12_208 ),
inference(avatar_split_clause,[],[f95,f1514,f1510,f1506,f1411]) ).
fof(f1519,definition,
( spl12_209
<=> e21 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl12_209])],[avatar_definition]) ).
fof(f1521,plain,
( e21 = op2(e22,e21)
| ~ spl12_209 ),
inference(avatar_component_clause,[],[f1519]) ).
fof(f1523,definition,
( spl12_210
<=> e21 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl12_210])],[avatar_definition]) ).
fof(f1525,plain,
( e21 = op2(e23,e21)
| ~ spl12_210 ),
inference(avatar_component_clause,[],[f1523]) ).
fof(f1526,plain,
( spl12_181
| spl12_206
| spl12_209
| spl12_210 ),
inference(avatar_split_clause,[],[f96,f1523,f1519,f1506,f1398]) ).
fof(f1528,definition,
( spl12_211
<=> e22 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl12_211])],[avatar_definition]) ).
fof(f1530,plain,
( e22 = op2(e21,e21)
| ~ spl12_211 ),
inference(avatar_component_clause,[],[f1528]) ).
fof(f1532,definition,
( spl12_212
<=> e22 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl12_212])],[avatar_definition]) ).
fof(f1536,definition,
( spl12_213
<=> e22 = op2(e21,e23) ),
introduced(definition,[new_symbols(definition,[spl12_213])],[avatar_definition]) ).
fof(f1538,plain,
( e22 = op2(e21,e23)
| ~ spl12_213 ),
inference(avatar_component_clause,[],[f1536]) ).
fof(f1550,definition,
( spl12_216
<=> e23 = op2(e21,e21) ),
introduced(definition,[new_symbols(definition,[spl12_216])],[avatar_definition]) ).
fof(f1552,plain,
( e23 = op2(e21,e21)
| ~ spl12_216 ),
inference(avatar_component_clause,[],[f1550]) ).
fof(f1554,definition,
( spl12_217
<=> e23 = op2(e21,e22) ),
introduced(definition,[new_symbols(definition,[spl12_217])],[avatar_definition]) ).
fof(f1563,definition,
( spl12_219
<=> e23 = op2(e22,e21) ),
introduced(definition,[new_symbols(definition,[spl12_219])],[avatar_definition]) ).
fof(f1565,plain,
( e23 = op2(e22,e21)
| ~ spl12_219 ),
inference(avatar_component_clause,[],[f1563]) ).
fof(f1567,definition,
( spl12_220
<=> e23 = op2(e23,e21) ),
introduced(definition,[new_symbols(definition,[spl12_220])],[avatar_definition]) ).
fof(f1569,plain,
( e23 = op2(e23,e21)
| ~ spl12_220 ),
inference(avatar_component_clause,[],[f1567]) ).
fof(f1570,plain,
( spl12_195
| spl12_216
| spl12_219
| spl12_220 ),
inference(avatar_split_clause,[],[f100,f1567,f1563,f1550,f1458]) ).
fof(f1572,definition,
( spl12_221
<=> e20 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl12_221])],[avatar_definition]) ).
fof(f1573,plain,
( e20 != op2(e22,e22)
| spl12_221 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f1574,plain,
( e20 = op2(e22,e22)
| ~ spl12_221 ),
inference(avatar_component_clause,[],[f1572]) ).
fof(f1576,definition,
( spl12_222
<=> e20 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl12_222])],[avatar_definition]) ).
fof(f1581,definition,
( spl12_223
<=> e20 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl12_223])],[avatar_definition]) ).
fof(f1583,plain,
( e20 = op2(e23,e22)
| ~ spl12_223 ),
inference(avatar_component_clause,[],[f1581]) ).
fof(f1584,plain,
( spl12_175
| spl12_202
| spl12_221
| spl12_223 ),
inference(avatar_split_clause,[],[f102,f1581,f1572,f1488,f1372]) ).
fof(f1586,definition,
( spl12_224
<=> e21 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl12_224])],[avatar_definition]) ).
fof(f1588,plain,
( e21 = op2(e22,e22)
| ~ spl12_224 ),
inference(avatar_component_clause,[],[f1586]) ).
fof(f1590,definition,
( spl12_225
<=> e21 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl12_225])],[avatar_definition]) ).
fof(f1593,plain,
( spl12_185
| spl12_209
| spl12_224
| spl12_225 ),
inference(avatar_split_clause,[],[f103,f1590,f1586,f1519,f1415]) ).
fof(f1595,definition,
( spl12_226
<=> e21 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl12_226])],[avatar_definition]) ).
fof(f1600,definition,
( spl12_227
<=> e22 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl12_227])],[avatar_definition]) ).
fof(f1601,plain,
( e22 != op2(e22,e22)
| spl12_227 ),
inference(avatar_component_clause,[],[f1600]) ).
fof(f1604,definition,
( spl12_228
<=> e22 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl12_228])],[avatar_definition]) ).
fof(f1606,plain,
( e22 = op2(e22,e23)
| ~ spl12_228 ),
inference(avatar_component_clause,[],[f1604]) ).
fof(f1609,definition,
( spl12_229
<=> e22 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl12_229])],[avatar_definition]) ).
fof(f1614,definition,
( spl12_230
<=> e23 = op2(e22,e22) ),
introduced(definition,[new_symbols(definition,[spl12_230])],[avatar_definition]) ).
fof(f1616,plain,
( e23 = op2(e22,e22)
| ~ spl12_230 ),
inference(avatar_component_clause,[],[f1614]) ).
fof(f1618,definition,
( spl12_231
<=> e23 = op2(e22,e23) ),
introduced(definition,[new_symbols(definition,[spl12_231])],[avatar_definition]) ).
fof(f1620,plain,
( e23 = op2(e22,e23)
| ~ spl12_231 ),
inference(avatar_component_clause,[],[f1618]) ).
fof(f1621,plain,
( spl12_199
| spl12_219
| spl12_230
| spl12_231 ),
inference(avatar_split_clause,[],[f107,f1618,f1614,f1563,f1475]) ).
fof(f1623,definition,
( spl12_232
<=> e23 = op2(e23,e22) ),
introduced(definition,[new_symbols(definition,[spl12_232])],[avatar_definition]) ).
fof(f1625,plain,
( e23 = op2(e23,e22)
| ~ spl12_232 ),
inference(avatar_component_clause,[],[f1623]) ).
fof(f1626,plain,
( spl12_196
| spl12_217
| spl12_230
| spl12_232 ),
inference(avatar_split_clause,[],[f108,f1623,f1614,f1554,f1462]) ).
fof(f1628,definition,
( spl12_233
<=> e20 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl12_233])],[avatar_definition]) ).
fof(f1632,plain,
( spl12_176
| spl12_203
| spl12_222
| spl12_233 ),
inference(avatar_split_clause,[],[f110,f1628,f1576,f1492,f1376]) ).
fof(f1634,definition,
( spl12_234
<=> e21 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl12_234])],[avatar_definition]) ).
fof(f1636,plain,
( e21 = op2(e23,e23)
| ~ spl12_234 ),
inference(avatar_component_clause,[],[f1634]) ).
fof(f1640,definition,
( spl12_235
<=> e22 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl12_235])],[avatar_definition]) ).
fof(f1642,plain,
( e22 = op2(e23,e23)
| ~ spl12_235 ),
inference(avatar_component_clause,[],[f1640]) ).
fof(f1644,plain,
( spl12_190
| spl12_213
| spl12_228
| spl12_235 ),
inference(avatar_split_clause,[],[f114,f1640,f1604,f1536,f1436]) ).
fof(f1646,definition,
( spl12_236
<=> e23 = op2(e23,e23) ),
introduced(definition,[new_symbols(definition,[spl12_236])],[avatar_definition]) ).
fof(f1648,plain,
( e23 = op2(e23,e23)
| ~ spl12_236 ),
inference(avatar_component_clause,[],[f1646]) ).
fof(f1649,plain,
( spl12_200
| spl12_220
| spl12_232
| spl12_236 ),
inference(avatar_split_clause,[],[f115,f1646,f1623,f1567,f1479]) ).
fof(f1651,plain,
( spl12_173
| spl12_180
| spl12_187
| spl12_194 ),
inference(avatar_split_clause,[],[f69,f1454,f1424,f1394,f1364]) ).
fof(f1653,plain,
( spl12_175
| spl12_182
| spl12_189
| spl12_196 ),
inference(avatar_split_clause,[],[f71,f1462,f1432,f1402,f1372]) ).
fof(f1657,plain,
( spl12_202
| spl12_207
| spl12_212
| spl12_217 ),
inference(avatar_split_clause,[],[f75,f1554,f1532,f1510,f1488]) ).
fof(f1659,plain,
( spl12_178
| spl12_185
| spl12_192
| spl12_199 ),
inference(avatar_split_clause,[],[f77,f1475,f1445,f1415,f1385]) ).
fof(f1661,plain,
( spl12_221
| spl12_224
| spl12_227
| spl12_230 ),
inference(avatar_split_clause,[],[f79,f1614,f1600,f1586,f1572]) ).
fof(f1662,plain,
( spl12_222
| spl12_225
| spl12_228
| spl12_231 ),
inference(avatar_split_clause,[],[f80,f1618,f1604,f1590,f1576]) ).
fof(f1663,plain,
( spl12_179
| spl12_186
| spl12_193
| spl12_200 ),
inference(avatar_split_clause,[],[f81,f1479,f1449,f1419,f1389]) ).
fof(f1665,plain,
( spl12_223
| spl12_226
| spl12_229
| spl12_232 ),
inference(avatar_split_clause,[],[f83,f1623,f1609,f1595,f1581]) ).
fof(f1668,definition,
( spl12_237
<=> e10 = op1(e10,e10) ),
introduced(definition,[new_symbols(definition,[spl12_237])],[avatar_definition]) ).
fof(f1669,plain,
( e10 != op1(e10,e10)
| spl12_237 ),
inference(avatar_component_clause,[],[f1668]) ).
fof(f1670,plain,
( e10 = op1(e10,e10)
| ~ spl12_237 ),
inference(avatar_component_clause,[],[f1668]) ).
fof(f1672,definition,
( spl12_238
<=> e10 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl12_238])],[avatar_definition]) ).
fof(f1674,plain,
( e10 = op1(e10,e11)
| ~ spl12_238 ),
inference(avatar_component_clause,[],[f1672]) ).
fof(f1680,definition,
( spl12_240
<=> e10 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl12_240])],[avatar_definition]) ).
fof(f1682,plain,
( e10 = op1(e10,e13)
| ~ spl12_240 ),
inference(avatar_component_clause,[],[f1680]) ).
fof(f1685,definition,
( spl12_241
<=> e10 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl12_241])],[avatar_definition]) ).
fof(f1687,plain,
( e10 = op1(e11,e10)
| ~ spl12_241 ),
inference(avatar_component_clause,[],[f1685]) ).
fof(f1689,definition,
( spl12_242
<=> e10 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl12_242])],[avatar_definition]) ).
fof(f1693,definition,
( spl12_243
<=> e10 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl12_243])],[avatar_definition]) ).
fof(f1695,plain,
( e10 = op1(e13,e10)
| ~ spl12_243 ),
inference(avatar_component_clause,[],[f1693]) ).
fof(f1698,definition,
( spl12_244
<=> op1(e10,e10) = e11 ),
introduced(definition,[new_symbols(definition,[spl12_244])],[avatar_definition]) ).
fof(f1699,plain,
( op1(e10,e10) != e11
| spl12_244 ),
inference(avatar_component_clause,[],[f1698]) ).
fof(f1700,plain,
( op1(e10,e10) = e11
| ~ spl12_244 ),
inference(avatar_component_clause,[],[f1698]) ).
fof(f1702,definition,
( spl12_245
<=> e11 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl12_245])],[avatar_definition]) ).
fof(f1704,plain,
( e11 = op1(e10,e11)
| ~ spl12_245 ),
inference(avatar_component_clause,[],[f1702]) ).
fof(f1706,definition,
( spl12_246
<=> e11 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl12_246])],[avatar_definition]) ).
fof(f1708,plain,
( e11 = op1(e10,e12)
| ~ spl12_246 ),
inference(avatar_component_clause,[],[f1706]) ).
fof(f1710,definition,
( spl12_247
<=> e11 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl12_247])],[avatar_definition]) ).
fof(f1712,plain,
( e11 = op1(e10,e13)
| ~ spl12_247 ),
inference(avatar_component_clause,[],[f1710]) ).
fof(f1713,plain,
( spl12_244
| spl12_245
| spl12_246
| spl12_247 ),
inference(avatar_split_clause,[],[f39,f1710,f1706,f1702,f1698]) ).
fof(f1715,definition,
( spl12_248
<=> e11 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl12_248])],[avatar_definition]) ).
fof(f1717,plain,
( e11 = op1(e11,e10)
| ~ spl12_248 ),
inference(avatar_component_clause,[],[f1715]) ).
fof(f1719,definition,
( spl12_249
<=> e11 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl12_249])],[avatar_definition]) ).
fof(f1721,plain,
( e11 = op1(e12,e10)
| ~ spl12_249 ),
inference(avatar_component_clause,[],[f1719]) ).
fof(f1723,definition,
( spl12_250
<=> e11 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl12_250])],[avatar_definition]) ).
fof(f1725,plain,
( e11 = op1(e13,e10)
| ~ spl12_250 ),
inference(avatar_component_clause,[],[f1723]) ).
fof(f1726,plain,
( spl12_244
| spl12_248
| spl12_249
| spl12_250 ),
inference(avatar_split_clause,[],[f40,f1723,f1719,f1715,f1698]) ).
fof(f1728,definition,
( spl12_251
<=> op1(e10,e10) = e12 ),
introduced(definition,[new_symbols(definition,[spl12_251])],[avatar_definition]) ).
fof(f1730,plain,
( op1(e10,e10) = e12
| ~ spl12_251 ),
inference(avatar_component_clause,[],[f1728]) ).
fof(f1732,definition,
( spl12_252
<=> e12 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl12_252])],[avatar_definition]) ).
fof(f1736,definition,
( spl12_253
<=> e12 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl12_253])],[avatar_definition]) ).
fof(f1738,plain,
( e12 = op1(e10,e12)
| ~ spl12_253 ),
inference(avatar_component_clause,[],[f1736]) ).
fof(f1740,definition,
( spl12_254
<=> e12 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl12_254])],[avatar_definition]) ).
fof(f1742,plain,
( e12 = op1(e10,e13)
| ~ spl12_254 ),
inference(avatar_component_clause,[],[f1740]) ).
fof(f1743,plain,
( spl12_251
| spl12_252
| spl12_253
| spl12_254 ),
inference(avatar_split_clause,[],[f41,f1740,f1736,f1732,f1728]) ).
fof(f1749,definition,
( spl12_256
<=> e12 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl12_256])],[avatar_definition]) ).
fof(f1751,plain,
( e12 = op1(e12,e10)
| ~ spl12_256 ),
inference(avatar_component_clause,[],[f1749]) ).
fof(f1753,definition,
( spl12_257
<=> e12 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl12_257])],[avatar_definition]) ).
fof(f1755,plain,
( e12 = op1(e13,e10)
| ~ spl12_257 ),
inference(avatar_component_clause,[],[f1753]) ).
fof(f1758,definition,
( spl12_258
<=> op1(e10,e10) = e13 ),
introduced(definition,[new_symbols(definition,[spl12_258])],[avatar_definition]) ).
fof(f1759,plain,
( op1(e10,e10) != e13
| spl12_258 ),
inference(avatar_component_clause,[],[f1758]) ).
fof(f1762,definition,
( spl12_259
<=> e13 = op1(e10,e11) ),
introduced(definition,[new_symbols(definition,[spl12_259])],[avatar_definition]) ).
fof(f1766,definition,
( spl12_260
<=> e13 = op1(e10,e12) ),
introduced(definition,[new_symbols(definition,[spl12_260])],[avatar_definition]) ).
fof(f1768,plain,
( e13 = op1(e10,e12)
| ~ spl12_260 ),
inference(avatar_component_clause,[],[f1766]) ).
fof(f1770,definition,
( spl12_261
<=> e13 = op1(e10,e13) ),
introduced(definition,[new_symbols(definition,[spl12_261])],[avatar_definition]) ).
fof(f1772,plain,
( e13 = op1(e10,e13)
| ~ spl12_261 ),
inference(avatar_component_clause,[],[f1770]) ).
fof(f1775,definition,
( spl12_262
<=> e13 = op1(e11,e10) ),
introduced(definition,[new_symbols(definition,[spl12_262])],[avatar_definition]) ).
fof(f1777,plain,
( e13 = op1(e11,e10)
| ~ spl12_262 ),
inference(avatar_component_clause,[],[f1775]) ).
fof(f1779,definition,
( spl12_263
<=> e13 = op1(e12,e10) ),
introduced(definition,[new_symbols(definition,[spl12_263])],[avatar_definition]) ).
fof(f1783,definition,
( spl12_264
<=> e13 = op1(e13,e10) ),
introduced(definition,[new_symbols(definition,[spl12_264])],[avatar_definition]) ).
fof(f1788,definition,
( spl12_265
<=> e10 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl12_265])],[avatar_definition]) ).
fof(f1790,plain,
( e10 = op1(e11,e11)
| ~ spl12_265 ),
inference(avatar_component_clause,[],[f1788]) ).
fof(f1792,definition,
( spl12_266
<=> e10 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl12_266])],[avatar_definition]) ).
fof(f1794,plain,
( e10 = op1(e11,e12)
| ~ spl12_266 ),
inference(avatar_component_clause,[],[f1792]) ).
fof(f1796,definition,
( spl12_267
<=> e10 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl12_267])],[avatar_definition]) ).
fof(f1798,plain,
( e10 = op1(e11,e13)
| ~ spl12_267 ),
inference(avatar_component_clause,[],[f1796]) ).
fof(f1799,plain,
( spl12_241
| spl12_265
| spl12_266
| spl12_267 ),
inference(avatar_split_clause,[],[f45,f1796,f1792,f1788,f1685]) ).
fof(f1801,definition,
( spl12_268
<=> e10 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl12_268])],[avatar_definition]) ).
fof(f1803,plain,
( e10 = op1(e12,e11)
| ~ spl12_268 ),
inference(avatar_component_clause,[],[f1801]) ).
fof(f1805,definition,
( spl12_269
<=> e10 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl12_269])],[avatar_definition]) ).
fof(f1810,definition,
( spl12_270
<=> e11 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl12_270])],[avatar_definition]) ).
fof(f1812,plain,
( e11 = op1(e11,e11)
| ~ spl12_270 ),
inference(avatar_component_clause,[],[f1810]) ).
fof(f1814,definition,
( spl12_271
<=> e11 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl12_271])],[avatar_definition]) ).
fof(f1816,plain,
( e11 = op1(e11,e12)
| ~ spl12_271 ),
inference(avatar_component_clause,[],[f1814]) ).
fof(f1818,definition,
( spl12_272
<=> e11 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl12_272])],[avatar_definition]) ).
fof(f1820,plain,
( e11 = op1(e11,e13)
| ~ spl12_272 ),
inference(avatar_component_clause,[],[f1818]) ).
fof(f1821,plain,
( spl12_248
| spl12_270
| spl12_271
| spl12_272 ),
inference(avatar_split_clause,[],[f47,f1818,f1814,f1810,f1715]) ).
fof(f1827,definition,
( spl12_274
<=> e11 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl12_274])],[avatar_definition]) ).
fof(f1829,plain,
( e11 = op1(e13,e11)
| ~ spl12_274 ),
inference(avatar_component_clause,[],[f1827]) ).
fof(f1832,definition,
( spl12_275
<=> e12 = op1(e11,e11) ),
introduced(definition,[new_symbols(definition,[spl12_275])],[avatar_definition]) ).
fof(f1834,plain,
( e12 = op1(e11,e11)
| ~ spl12_275 ),
inference(avatar_component_clause,[],[f1832]) ).
fof(f1836,definition,
( spl12_276
<=> e12 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl12_276])],[avatar_definition]) ).
fof(f1840,definition,
( spl12_277
<=> e12 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl12_277])],[avatar_definition]) ).
fof(f1845,definition,
( spl12_278
<=> e12 = op1(e12,e11) ),
introduced(definition,[new_symbols(definition,[spl12_278])],[avatar_definition]) ).
fof(f1849,definition,
( spl12_279
<=> e12 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl12_279])],[avatar_definition]) ).
fof(f1858,definition,
( spl12_281
<=> e13 = op1(e11,e12) ),
introduced(definition,[new_symbols(definition,[spl12_281])],[avatar_definition]) ).
fof(f1860,plain,
( e13 = op1(e11,e12)
| ~ spl12_281 ),
inference(avatar_component_clause,[],[f1858]) ).
fof(f1862,definition,
( spl12_282
<=> e13 = op1(e11,e13) ),
introduced(definition,[new_symbols(definition,[spl12_282])],[avatar_definition]) ).
fof(f1871,definition,
( spl12_284
<=> e13 = op1(e13,e11) ),
introduced(definition,[new_symbols(definition,[spl12_284])],[avatar_definition]) ).
fof(f1873,plain,
( e13 = op1(e13,e11)
| ~ spl12_284 ),
inference(avatar_component_clause,[],[f1871]) ).
fof(f1876,definition,
( spl12_285
<=> e10 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl12_285])],[avatar_definition]) ).
fof(f1877,plain,
( e10 != op1(e12,e12)
| spl12_285 ),
inference(avatar_component_clause,[],[f1876]) ).
fof(f1885,definition,
( spl12_287
<=> e10 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl12_287])],[avatar_definition]) ).
fof(f1887,plain,
( e10 = op1(e13,e12)
| ~ spl12_287 ),
inference(avatar_component_clause,[],[f1885]) ).
fof(f1890,definition,
( spl12_288
<=> e11 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl12_288])],[avatar_definition]) ).
fof(f1892,plain,
( e11 = op1(e12,e12)
| ~ spl12_288 ),
inference(avatar_component_clause,[],[f1890]) ).
fof(f1904,definition,
( spl12_291
<=> e12 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl12_291])],[avatar_definition]) ).
fof(f1905,plain,
( e12 != op1(e12,e12)
| spl12_291 ),
inference(avatar_component_clause,[],[f1904]) ).
fof(f1906,plain,
( e12 = op1(e12,e12)
| ~ spl12_291 ),
inference(avatar_component_clause,[],[f1904]) ).
fof(f1908,definition,
( spl12_292
<=> e12 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl12_292])],[avatar_definition]) ).
fof(f1910,plain,
( e12 = op1(e12,e13)
| ~ spl12_292 ),
inference(avatar_component_clause,[],[f1908]) ).
fof(f1911,plain,
( spl12_256
| spl12_278
| spl12_291
| spl12_292 ),
inference(avatar_split_clause,[],[f57,f1908,f1904,f1845,f1749]) ).
fof(f1913,definition,
( spl12_293
<=> e12 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl12_293])],[avatar_definition]) ).
fof(f1915,plain,
( e12 = op1(e13,e12)
| ~ spl12_293 ),
inference(avatar_component_clause,[],[f1913]) ).
fof(f1916,plain,
( spl12_253
| spl12_276
| spl12_291
| spl12_293 ),
inference(avatar_split_clause,[],[f58,f1913,f1904,f1836,f1736]) ).
fof(f1918,definition,
( spl12_294
<=> e13 = op1(e12,e12) ),
introduced(definition,[new_symbols(definition,[spl12_294])],[avatar_definition]) ).
fof(f1919,plain,
( e13 != op1(e12,e12)
| spl12_294 ),
inference(avatar_component_clause,[],[f1918]) ).
fof(f1920,plain,
( e13 = op1(e12,e12)
| ~ spl12_294 ),
inference(avatar_component_clause,[],[f1918]) ).
fof(f1922,definition,
( spl12_295
<=> e13 = op1(e12,e13) ),
introduced(definition,[new_symbols(definition,[spl12_295])],[avatar_definition]) ).
fof(f1924,plain,
( e13 = op1(e12,e13)
| ~ spl12_295 ),
inference(avatar_component_clause,[],[f1922]) ).
fof(f1927,definition,
( spl12_296
<=> e13 = op1(e13,e12) ),
introduced(definition,[new_symbols(definition,[spl12_296])],[avatar_definition]) ).
fof(f1929,plain,
( e13 = op1(e13,e12)
| ~ spl12_296 ),
inference(avatar_component_clause,[],[f1927]) ).
fof(f1930,plain,
( spl12_260
| spl12_281
| spl12_294
| spl12_296 ),
inference(avatar_split_clause,[],[f60,f1927,f1918,f1858,f1766]) ).
fof(f1932,definition,
( spl12_297
<=> e10 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl12_297])],[avatar_definition]) ).
fof(f1933,plain,
( e10 != op1(e13,e13)
| spl12_297 ),
inference(avatar_component_clause,[],[f1932]) ).
fof(f1934,plain,
( e10 = op1(e13,e13)
| ~ spl12_297 ),
inference(avatar_component_clause,[],[f1932]) ).
fof(f1935,plain,
( spl12_243
| spl12_269
| spl12_287
| spl12_297 ),
inference(avatar_split_clause,[],[f61,f1932,f1885,f1805,f1693]) ).
fof(f1938,definition,
( spl12_298
<=> e11 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl12_298])],[avatar_definition]) ).
fof(f1940,plain,
( e11 = op1(e13,e13)
| ~ spl12_298 ),
inference(avatar_component_clause,[],[f1938]) ).
fof(f1944,definition,
( spl12_299
<=> e12 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl12_299])],[avatar_definition]) ).
fof(f1945,plain,
( e12 != op1(e13,e13)
| spl12_299 ),
inference(avatar_component_clause,[],[f1944]) ).
fof(f1950,definition,
( spl12_300
<=> e13 = op1(e13,e13) ),
introduced(definition,[new_symbols(definition,[spl12_300])],[avatar_definition]) ).
fof(f1954,plain,
( spl12_261
| spl12_282
| spl12_295
| spl12_300 ),
inference(avatar_split_clause,[],[f68,f1950,f1922,f1862,f1770]) ).
fof(f1955,plain,
( spl12_237
| spl12_244
| spl12_251
| spl12_258 ),
inference(avatar_split_clause,[],[f21,f1758,f1728,f1698,f1668]) ).
fof(f1956,plain,
( spl12_238
| spl12_245
| spl12_252
| spl12_259 ),
inference(avatar_split_clause,[],[f22,f1762,f1732,f1702,f1672]) ).
fof(f1958,plain,
( spl12_240
| spl12_247
| spl12_254
| spl12_261 ),
inference(avatar_split_clause,[],[f24,f1770,f1740,f1710,f1680]) ).
fof(f1962,plain,
( spl12_267
| spl12_272
| spl12_277
| spl12_282 ),
inference(avatar_split_clause,[],[f28,f1862,f1840,f1818,f1796]) ).
fof(f1963,plain,
( spl12_242
| spl12_249
| spl12_256
| spl12_263 ),
inference(avatar_split_clause,[],[f29,f1779,f1749,f1719,f1689]) ).
fof(f1967,plain,
( spl12_243
| spl12_250
| spl12_257
| spl12_264 ),
inference(avatar_split_clause,[],[f33,f1783,f1753,f1723,f1693]) ).
fof(f1968,plain,
( spl12_269
| spl12_274
| spl12_279
| spl12_284 ),
inference(avatar_split_clause,[],[f34,f1871,f1849,f1827,f1805]) ).
fof(f1971,plain,
( e20 != e21
| ~ spl12_4
| spl12_9 ),
inference(superposition,[],[f568,f543]) ).
fof(f1972,plain,
( e20 != e21
| spl12_14
| ~ spl12_19 ),
inference(superposition,[],[f592,f615]) ).
fof(f1974,plain,
( e21 != e23
| spl12_39
| ~ spl12_134 ),
inference(superposition,[],[f712,f1145]) ).
fof(f1975,plain,
( h2(op1(e12,e11)) != op2(h2(e12),e21)
| ~ spl12_19
| spl12_74 ),
inference(forward_demodulation,[],[f870,f615]) ).
fof(f1976,plain,
spl12_275,
inference(avatar_split_clause,[],[f290,f1832]) ).
fof(f1977,plain,
spl12_211,
inference(avatar_split_clause,[],[f293,f1528]) ).
fof(f1985,plain,
( e21 = e22
| ~ spl12_182
| ~ spl12_189 ),
inference(superposition,[],[f1434,f1404]) ).
fof(f1989,plain,
( $false
| ~ spl12_182
| ~ spl12_189 ),
inference(forward_subsumption_resolution,[],[f1985,f221]) ).
fof(f1990,plain,
( ~ spl12_182
| ~ spl12_189 ),
inference(avatar_contradiction_clause,[],[f1989]) ).
fof(f1999,plain,
( e20 = e21
| ~ spl12_173
| ~ spl12_180 ),
inference(superposition,[],[f1396,f1366]) ).
fof(f2003,plain,
( $false
| ~ spl12_4
| spl12_9
| ~ spl12_173
| ~ spl12_180 ),
inference(forward_subsumption_resolution,[],[f1999,f1971]) ).
fof(f2004,plain,
( ~ spl12_4
| spl12_9
| ~ spl12_173
| ~ spl12_180 ),
inference(avatar_contradiction_clause,[],[f2003]) ).
fof(f2012,plain,
( e20 = e22
| ~ spl12_24
| ~ spl12_108 ),
inference(forward_demodulation,[],[f639,f1023]) ).
fof(f2018,plain,
( e21 = op2(e22,e22)
| ~ spl12_24
| ~ spl12_108
| ~ spl12_180 ),
inference(superposition,[],[f1396,f2012]) ).
fof(f2020,plain,
( e21 = op2(e22,e22)
| ~ spl12_24
| ~ spl12_108
| ~ spl12_185 ),
inference(superposition,[],[f1417,f2012]) ).
fof(f2021,plain,
( e21 = op2(e23,e22)
| ~ spl12_24
| ~ spl12_108
| ~ spl12_186 ),
inference(superposition,[],[f1421,f2012]) ).
fof(f2023,plain,
( e22 = op2(e22,e22)
| ~ spl12_24
| ~ spl12_108
| ~ spl12_189 ),
inference(superposition,[],[f1434,f2012]) ).
fof(f2024,plain,
( e22 = op2(e22,e23)
| ~ spl12_24
| ~ spl12_108
| ~ spl12_190 ),
inference(superposition,[],[f1438,f2012]) ).
fof(f2025,plain,
( spl12_228
| ~ spl12_24
| ~ spl12_108
| ~ spl12_190 ),
inference(avatar_split_clause,[],[f2024,f1436,f1022,f638,f1604]) ).
fof(f2026,plain,
( spl12_227
| ~ spl12_24
| ~ spl12_108
| ~ spl12_189 ),
inference(avatar_split_clause,[],[f2023,f1432,f1022,f638,f1600]) ).
fof(f2028,plain,
( spl12_226
| ~ spl12_24
| ~ spl12_108
| ~ spl12_186 ),
inference(avatar_split_clause,[],[f2021,f1419,f1022,f638,f1595]) ).
fof(f2029,plain,
( spl12_224
| ~ spl12_24
| ~ spl12_108
| ~ spl12_185 ),
inference(avatar_split_clause,[],[f2020,f1415,f1022,f638,f1586]) ).
fof(f2031,plain,
( spl12_224
| ~ spl12_24
| ~ spl12_108
| ~ spl12_180 ),
inference(avatar_split_clause,[],[f2018,f1394,f1022,f638,f1586]) ).
fof(f2032,plain,
( e20 != e22
| spl12_24
| ~ spl12_108 ),
inference(forward_demodulation,[],[f640,f1023]) ).
fof(f2035,plain,
( e20 = e21
| ~ spl12_4
| ~ spl12_9 ),
inference(superposition,[],[f567,f543]) ).
fof(f2039,plain,
( $false
| ~ spl12_4
| ~ spl12_9
| spl12_14
| ~ spl12_19 ),
inference(forward_subsumption_resolution,[],[f2035,f1972]) ).
fof(f2040,plain,
( ~ spl12_4
| ~ spl12_9
| spl12_14
| ~ spl12_19 ),
inference(avatar_contradiction_clause,[],[f2039]) ).
fof(f2041,plain,
( e20 = e21
| ~ spl12_14
| ~ spl12_19 ),
inference(forward_demodulation,[],[f591,f615]) ).
fof(f2062,plain,
( e20 != e21
| spl12_14
| ~ spl12_19 ),
inference(forward_demodulation,[],[f592,f615]) ).
fof(f2064,plain,
( e20 = e22
| ~ spl12_175
| ~ spl12_189 ),
inference(forward_demodulation,[],[f1374,f1434]) ).
fof(f2067,plain,
( $false
| spl12_24
| ~ spl12_108
| ~ spl12_175
| ~ spl12_189 ),
inference(forward_subsumption_resolution,[],[f2064,f2032]) ).
fof(f2068,plain,
( spl12_24
| ~ spl12_108
| ~ spl12_175
| ~ spl12_189 ),
inference(avatar_contradiction_clause,[],[f2067]) ).
fof(f2070,plain,
( e20 = e22
| ~ spl12_176
| ~ spl12_190 ),
inference(forward_demodulation,[],[f1378,f1438]) ).
fof(f2071,plain,
( $false
| spl12_24
| ~ spl12_108
| ~ spl12_176
| ~ spl12_190 ),
inference(forward_subsumption_resolution,[],[f2070,f2032]) ).
fof(f2072,plain,
( spl12_24
| ~ spl12_108
| ~ spl12_176
| ~ spl12_190 ),
inference(avatar_contradiction_clause,[],[f2071]) ).
fof(f2110,plain,
( e21 = e23
| ~ spl12_181
| ~ spl12_195 ),
inference(superposition,[],[f1460,f1400]) ).
fof(f2116,plain,
( $false
| spl12_39
| ~ spl12_134
| ~ spl12_181
| ~ spl12_195 ),
inference(forward_subsumption_resolution,[],[f2110,f1974]) ).
fof(f2117,plain,
( spl12_39
| ~ spl12_134
| ~ spl12_181
| ~ spl12_195 ),
inference(avatar_contradiction_clause,[],[f2116]) ).
fof(f2118,plain,
( e21 = e23
| ~ spl12_39
| ~ spl12_134 ),
inference(forward_demodulation,[],[f711,f1145]) ).
fof(f2125,plain,
( e20 != op2(e23,e20)
| ~ spl12_39
| ~ spl12_134
| spl12_177 ),
inference(superposition,[],[f1382,f2118]) ).
fof(f2126,plain,
( e23 = op2(e20,e23)
| ~ spl12_39
| ~ spl12_134
| ~ spl12_181 ),
inference(superposition,[],[f1400,f2118]) ).
fof(f2127,plain,
( e23 = op2(e23,e20)
| ~ spl12_39
| ~ spl12_134
| ~ spl12_184 ),
inference(superposition,[],[f1413,f2118]) ).
fof(f2129,plain,
( e22 != op2(e23,e20)
| ~ spl12_39
| ~ spl12_134
| spl12_191 ),
inference(superposition,[],[f1442,f2118]) ).
fof(f2132,plain,
( $false
| ~ spl12_39
| ~ spl12_134
| spl12_191
| ~ spl12_193 ),
inference(forward_subsumption_resolution,[],[f2129,f1451]) ).
fof(f2133,plain,
( ~ spl12_39
| ~ spl12_134
| spl12_191
| ~ spl12_193 ),
inference(avatar_contradiction_clause,[],[f2132]) ).
fof(f2154,plain,
( spl12_197
| ~ spl12_39
| ~ spl12_134
| ~ spl12_181 ),
inference(avatar_split_clause,[],[f2126,f1398,f1144,f710,f1466]) ).
fof(f2161,plain,
( e21 != e23
| spl12_39
| ~ spl12_134 ),
inference(forward_demodulation,[],[f712,f1145]) ).
fof(f2167,plain,
( e22 = e23
| ~ spl12_189
| ~ spl12_196 ),
inference(forward_demodulation,[],[f1464,f1434]) ).
fof(f2168,plain,
( $false
| ~ spl12_189
| ~ spl12_196 ),
inference(forward_subsumption_resolution,[],[f2167,f219]) ).
fof(f2169,plain,
( ~ spl12_189
| ~ spl12_196 ),
inference(avatar_contradiction_clause,[],[f2168]) ).
fof(f2192,plain,
( e22 = e23
| ~ spl12_191
| ~ spl12_198 ),
inference(forward_demodulation,[],[f1473,f1443]) ).
fof(f2193,plain,
( $false
| ~ spl12_191
| ~ spl12_198 ),
inference(forward_subsumption_resolution,[],[f2192,f219]) ).
fof(f2194,plain,
( ~ spl12_191
| ~ spl12_198 ),
inference(avatar_contradiction_clause,[],[f2193]) ).
fof(f2206,plain,
( e21 = e23
| ~ spl12_184
| ~ spl12_198 ),
inference(forward_demodulation,[],[f1413,f1473]) ).
fof(f2208,plain,
( $false
| spl12_39
| ~ spl12_134
| ~ spl12_184
| ~ spl12_198 ),
inference(forward_subsumption_resolution,[],[f2206,f2161]) ).
fof(f2209,plain,
( spl12_39
| ~ spl12_134
| ~ spl12_184
| ~ spl12_198 ),
inference(avatar_contradiction_clause,[],[f2208]) ).
fof(f2238,plain,
( e20 = e21
| ~ spl12_202
| ~ spl12_207 ),
inference(superposition,[],[f1512,f1490]) ).
fof(f2242,plain,
( $false
| spl12_14
| ~ spl12_19
| ~ spl12_202
| ~ spl12_207 ),
inference(forward_subsumption_resolution,[],[f2238,f2062]) ).
fof(f2243,plain,
( spl12_14
| ~ spl12_19
| ~ spl12_202
| ~ spl12_207 ),
inference(avatar_contradiction_clause,[],[f2242]) ).
fof(f2270,plain,
( e22 != op2(e21,e21)
| ~ spl12_14
| ~ spl12_19
| spl12_188 ),
inference(superposition,[],[f1429,f2041]) ).
fof(f2289,plain,
( ~ spl12_211
| ~ spl12_14
| ~ spl12_19
| spl12_188 ),
inference(avatar_split_clause,[],[f2270,f1428,f614,f590,f1528]) ).
fof(f2315,plain,
( e20 = e21
| ~ spl12_204
| ~ spl12_209 ),
inference(superposition,[],[f1521,f1499]) ).
fof(f2319,plain,
( $false
| spl12_14
| ~ spl12_19
| ~ spl12_204
| ~ spl12_209 ),
inference(forward_subsumption_resolution,[],[f2315,f2062]) ).
fof(f2320,plain,
( spl12_14
| ~ spl12_19
| ~ spl12_204
| ~ spl12_209 ),
inference(avatar_contradiction_clause,[],[f2319]) ).
fof(f2329,plain,
( e21 = e22
| ~ spl12_206
| ~ spl12_211 ),
inference(superposition,[],[f1530,f1508]) ).
fof(f2333,plain,
( $false
| ~ spl12_206
| ~ spl12_211 ),
inference(forward_subsumption_resolution,[],[f2329,f221]) ).
fof(f2334,plain,
( ~ spl12_206
| ~ spl12_211 ),
inference(avatar_contradiction_clause,[],[f2333]) ).
fof(f2344,plain,
( e20 = e22
| ~ spl12_203
| ~ spl12_213 ),
inference(superposition,[],[f1538,f1494]) ).
fof(f2349,plain,
( $false
| spl12_24
| ~ spl12_108
| ~ spl12_203
| ~ spl12_213 ),
inference(forward_subsumption_resolution,[],[f2344,f2032]) ).
fof(f2350,plain,
( spl12_24
| ~ spl12_108
| ~ spl12_203
| ~ spl12_213 ),
inference(avatar_contradiction_clause,[],[f2349]) ).
fof(f2351,plain,
( e20 = e22
| ~ spl12_201
| ~ spl12_211 ),
inference(forward_demodulation,[],[f1486,f1530]) ).
fof(f2353,plain,
( $false
| spl12_24
| ~ spl12_108
| ~ spl12_201
| ~ spl12_211 ),
inference(forward_subsumption_resolution,[],[f2351,f2032]) ).
fof(f2354,plain,
( spl12_24
| ~ spl12_108
| ~ spl12_201
| ~ spl12_211 ),
inference(avatar_contradiction_clause,[],[f2353]) ).
fof(f2373,plain,
( e21 = e22
| ~ spl12_208
| ~ spl12_213 ),
inference(superposition,[],[f1538,f1516]) ).
fof(f2378,plain,
( $false
| ~ spl12_208
| ~ spl12_213 ),
inference(forward_subsumption_resolution,[],[f2373,f221]) ).
fof(f2379,plain,
( ~ spl12_208
| ~ spl12_213 ),
inference(avatar_contradiction_clause,[],[f2378]) ).
fof(f2408,plain,
( e22 = e23
| ~ spl12_211
| ~ spl12_216 ),
inference(forward_demodulation,[],[f1552,f1530]) ).
fof(f2409,plain,
( $false
| ~ spl12_211
| ~ spl12_216 ),
inference(forward_subsumption_resolution,[],[f2408,f219]) ).
fof(f2410,plain,
( ~ spl12_211
| ~ spl12_216 ),
inference(avatar_contradiction_clause,[],[f2409]) ).
fof(f2429,plain,
( e20 = e23
| ~ spl12_177
| ~ spl12_198 ),
inference(superposition,[],[f1473,f1383]) ).
fof(f2435,plain,
( $false
| ~ spl12_177
| ~ spl12_198 ),
inference(forward_subsumption_resolution,[],[f2429,f222]) ).
fof(f2436,plain,
( ~ spl12_177
| ~ spl12_198 ),
inference(avatar_contradiction_clause,[],[f2435]) ).
fof(f2515,plain,
( e11 = e12
| ~ spl12_246
| ~ spl12_253 ),
inference(superposition,[],[f1738,f1708]) ).
fof(f2519,plain,
( $false
| ~ spl12_246
| ~ spl12_253 ),
inference(forward_subsumption_resolution,[],[f2515,f215]) ).
fof(f2520,plain,
( ~ spl12_246
| ~ spl12_253 ),
inference(avatar_contradiction_clause,[],[f2519]) ).
fof(f2529,plain,
( e10 = e11
| ~ spl12_237
| ~ spl12_244 ),
inference(superposition,[],[f1700,f1670]) ).
fof(f2533,plain,
( $false
| ~ spl12_237
| ~ spl12_244 ),
inference(forward_subsumption_resolution,[],[f2529,f218]) ).
fof(f2534,plain,
( ~ spl12_237
| ~ spl12_244 ),
inference(avatar_contradiction_clause,[],[f2533]) ).
fof(f2603,plain,
( e10 = e13
| ~ spl12_241
| ~ spl12_262 ),
inference(superposition,[],[f1777,f1687]) ).
fof(f2609,plain,
( $false
| ~ spl12_241
| ~ spl12_262 ),
inference(forward_subsumption_resolution,[],[f2603,f216]) ).
fof(f2610,plain,
( ~ spl12_241
| ~ spl12_262 ),
inference(avatar_contradiction_clause,[],[f2609]) ).
fof(f2621,plain,
( e11 = e12
| ~ spl12_244
| ~ spl12_251 ),
inference(superposition,[],[f1730,f1700]) ).
fof(f2625,plain,
( $false
| ~ spl12_244
| ~ spl12_251 ),
inference(forward_subsumption_resolution,[],[f2621,f215]) ).
fof(f2626,plain,
( ~ spl12_244
| ~ spl12_251 ),
inference(avatar_contradiction_clause,[],[f2625]) ).
fof(f2634,plain,
( h2(e10) != op2(h2(e12),e21)
| ~ spl12_19
| spl12_74
| ~ spl12_268 ),
inference(superposition,[],[f1975,f1803]) ).
fof(f2649,plain,
( e10 = e11
| ~ spl12_267
| ~ spl12_272 ),
inference(superposition,[],[f1820,f1798]) ).
fof(f2653,plain,
( $false
| ~ spl12_267
| ~ spl12_272 ),
inference(forward_subsumption_resolution,[],[f2649,f218]) ).
fof(f2654,plain,
( ~ spl12_267
| ~ spl12_272 ),
inference(avatar_contradiction_clause,[],[f2653]) ).
fof(f2672,plain,
( e10 = e12
| ~ spl12_265
| ~ spl12_275 ),
inference(superposition,[],[f1834,f1790]) ).
fof(f2677,plain,
( $false
| ~ spl12_265
| ~ spl12_275 ),
inference(forward_subsumption_resolution,[],[f2672,f217]) ).
fof(f2678,plain,
( ~ spl12_265
| ~ spl12_275 ),
inference(avatar_contradiction_clause,[],[f2677]) ).
fof(f2680,plain,
( e10 = e13
| ~ spl12_266
| ~ spl12_281 ),
inference(superposition,[],[f1860,f1794]) ).
fof(f2685,plain,
( $false
| ~ spl12_266
| ~ spl12_281 ),
inference(forward_subsumption_resolution,[],[f2680,f216]) ).
fof(f2686,plain,
( ~ spl12_266
| ~ spl12_281 ),
inference(avatar_contradiction_clause,[],[f2685]) ).
fof(f2709,plain,
( e12 = e13
| ~ spl12_291
| ~ spl12_294 ),
inference(forward_demodulation,[],[f1920,f1906]) ).
fof(f2710,plain,
( $false
| ~ spl12_291
| ~ spl12_294 ),
inference(forward_subsumption_resolution,[],[f2709,f213]) ).
fof(f2711,plain,
( ~ spl12_291
| ~ spl12_294 ),
inference(avatar_contradiction_clause,[],[f2710]) ).
fof(f2771,plain,
( e11 = e12
| ~ spl12_270
| ~ spl12_275 ),
inference(forward_demodulation,[],[f1812,f1834]) ).
fof(f2774,plain,
( $false
| ~ spl12_270
| ~ spl12_275 ),
inference(forward_subsumption_resolution,[],[f2771,f215]) ).
fof(f2775,plain,
( ~ spl12_270
| ~ spl12_275 ),
inference(avatar_contradiction_clause,[],[f2774]) ).
fof(f2896,plain,
( e10 = e11
| ~ spl12_297
| ~ spl12_298 ),
inference(superposition,[],[f1940,f1934]) ).
fof(f2900,plain,
( $false
| ~ spl12_297
| ~ spl12_298 ),
inference(forward_subsumption_resolution,[],[f2896,f218]) ).
fof(f2901,plain,
( ~ spl12_297
| ~ spl12_298 ),
inference(avatar_contradiction_clause,[],[f2900]) ).
fof(f2923,plain,
( e22 = h2(e12)
| ~ spl12_211 ),
inference(forward_demodulation,[],[f300,f1530]) ).
fof(f2924,plain,
( spl12_83
| ~ spl12_211 ),
inference(avatar_split_clause,[],[f2923,f1528,f905]) ).
fof(f2943,plain,
( e12 != op1(e13,e10)
| ~ spl12_293 ),
inference(forward_demodulation,[],[f121,f1915]) ).
fof(f2950,plain,
( e11 != op1(e12,e10)
| ~ spl12_288 ),
inference(forward_demodulation,[],[f127,f1892]) ).
fof(f2962,plain,
( e13 != op1(e10,e11)
| ~ spl12_260 ),
inference(forward_demodulation,[],[f137,f1768]) ).
fof(f2963,plain,
( op1(e10,e10) != e11
| ~ spl12_247 ),
inference(forward_demodulation,[],[f138,f1712]) ).
fof(f2969,plain,
( e10 != op1(e11,e13)
| ~ spl12_297 ),
inference(forward_demodulation,[],[f142,f1934]) ).
fof(f2992,plain,
( e12 != op1(e10,e11)
| ~ spl12_275 ),
inference(forward_demodulation,[],[f158,f1834]) ).
fof(f3003,plain,
( e21 != op2(e23,e21)
| ~ spl12_234 ),
inference(forward_demodulation,[],[f166,f1636]) ).
fof(f3004,plain,
( e23 != op2(e23,e21)
| ~ spl12_232 ),
inference(forward_demodulation,[],[f167,f1625]) ).
fof(f3014,plain,
( e20 != op2(e22,e21)
| ~ spl12_221 ),
inference(forward_demodulation,[],[f173,f1574]) ).
fof(f3033,plain,
( op2(e20,e20) != e21
| ~ spl12_181 ),
inference(forward_demodulation,[],[f188,f1400]) ).
fof(f3034,plain,
( e21 != op2(e22,e23)
| ~ spl12_234 ),
inference(forward_demodulation,[],[f189,f1636]) ).
fof(f3036,plain,
( e21 != op2(e21,e23)
| ~ spl12_234 ),
inference(forward_demodulation,[],[f190,f1636]) ).
fof(f3040,plain,
( e20 != op2(e20,e23)
| ~ spl12_203 ),
inference(forward_demodulation,[],[f194,f1494]) ).
fof(f3041,plain,
( e23 != op2(e22,e22)
| ~ spl12_232 ),
inference(forward_demodulation,[],[f195,f1625]) ).
fof(f3055,plain,
( e22 != op2(e20,e21)
| ~ spl12_211 ),
inference(forward_demodulation,[],[f206,f1530]) ).
fof(f3061,plain,
( op2(e20,e20) != e23
| ~ spl12_198 ),
inference(forward_demodulation,[],[f212,f1473]) ).
fof(f3062,plain,
( e10 = op1(e12,e11)
| ~ spl12_275 ),
inference(forward_demodulation,[],[f291,f1834]) ).
fof(f3065,plain,
( op2(e22,e21) != h2(e10)
| ~ spl12_19
| spl12_74
| ~ spl12_83
| ~ spl12_268 ),
inference(forward_demodulation,[],[f2634,f906]) ).
fof(f3068,plain,
( e12 != op1(e12,e11)
| ~ spl12_275 ),
inference(forward_demodulation,[],[f155,f1834]) ).
fof(f3069,plain,
( e10 != op1(e12,e11)
| ~ spl12_238 ),
inference(forward_demodulation,[],[f157,f1674]) ).
fof(f3070,plain,
( spl12_268
| ~ spl12_275 ),
inference(avatar_split_clause,[],[f3062,f1832,f1801]) ).
fof(f3075,plain,
( e12 != op1(e12,e10)
| ~ spl12_251 ),
inference(forward_demodulation,[],[f163,f1730]) ).
fof(f3077,plain,
( ~ spl12_268
| ~ spl12_238 ),
inference(avatar_split_clause,[],[f3069,f1672,f1801]) ).
fof(f3081,plain,
( e11 != op1(e13,e13)
| ~ spl12_274 ),
inference(forward_demodulation,[],[f118,f1829]) ).
fof(f3085,plain,
( ~ spl12_259
| ~ spl12_260 ),
inference(avatar_split_clause,[],[f2962,f1766,f1762]) ).
fof(f3093,plain,
( e12 = e13
| ~ spl12_293
| ~ spl12_296 ),
inference(forward_demodulation,[],[f1929,f1915]) ).
fof(f3099,plain,
( $false
| ~ spl12_293
| ~ spl12_296 ),
inference(forward_subsumption_resolution,[],[f3093,f213]) ).
fof(f3100,plain,
( ~ spl12_293
| ~ spl12_296 ),
inference(avatar_contradiction_clause,[],[f3099]) ).
fof(f3106,plain,
( e12 != op1(e11,e13)
| ~ spl12_275 ),
inference(forward_demodulation,[],[f130,f1834]) ).
fof(f3109,plain,
( ~ spl12_278
| ~ spl12_275 ),
inference(avatar_split_clause,[],[f3068,f1832,f1845]) ).
fof(f3111,plain,
( e12 != op1(e11,e12)
| ~ spl12_275 ),
inference(forward_demodulation,[],[f131,f1834]) ).
fof(f3113,plain,
( ~ spl12_277
| ~ spl12_275 ),
inference(avatar_split_clause,[],[f3106,f1832,f1840]) ).
fof(f3116,plain,
( ~ spl12_276
| ~ spl12_275 ),
inference(avatar_split_clause,[],[f3111,f1832,f1836]) ).
fof(f3121,plain,
( ~ spl12_252
| ~ spl12_275 ),
inference(avatar_split_clause,[],[f2992,f1832,f1732]) ).
fof(f3123,plain,
( ~ spl12_298
| ~ spl12_274 ),
inference(avatar_split_clause,[],[f3081,f1827,f1938]) ).
fof(f3125,plain,
( e12 != op1(e13,e11)
| ~ spl12_275 ),
inference(forward_demodulation,[],[f154,f1834]) ).
fof(f3141,plain,
( e11 = e13
| ~ spl12_248
| ~ spl12_262 ),
inference(superposition,[],[f1777,f1717]) ).
fof(f3147,plain,
( $false
| ~ spl12_248
| ~ spl12_262 ),
inference(forward_subsumption_resolution,[],[f3141,f214]) ).
fof(f3148,plain,
( ~ spl12_248
| ~ spl12_262 ),
inference(avatar_contradiction_clause,[],[f3147]) ).
fof(f3150,plain,
( ~ spl12_249
| ~ spl12_288 ),
inference(avatar_split_clause,[],[f2950,f1890,f1719]) ).
fof(f3151,plain,
( op1(e10,e10) != e13
| ~ spl12_262 ),
inference(forward_demodulation,[],[f164,f1777]) ).
fof(f3153,plain,
( e13 != op1(e12,e10)
| ~ spl12_262 ),
inference(forward_demodulation,[],[f161,f1777]) ).
fof(f3154,plain,
( e13 != op1(e11,e13)
| ~ spl12_262 ),
inference(forward_demodulation,[],[f132,f1777]) ).
fof(f3157,plain,
( ~ spl12_263
| ~ spl12_262 ),
inference(avatar_split_clause,[],[f3153,f1775,f1779]) ).
fof(f3158,plain,
( ~ spl12_282
| ~ spl12_262 ),
inference(avatar_split_clause,[],[f3154,f1775,f1862]) ).
fof(f3162,plain,
( ~ spl12_267
| ~ spl12_297 ),
inference(avatar_split_clause,[],[f2969,f1932,f1796]) ).
fof(f3163,plain,
( e13 != op1(e13,e10)
| ~ spl12_262 ),
inference(forward_demodulation,[],[f160,f1777]) ).
fof(f3164,plain,
( ~ spl12_264
| ~ spl12_262 ),
inference(avatar_split_clause,[],[f3163,f1775,f1783]) ).
fof(f3242,plain,
( e10 != op1(e12,e10)
| ~ spl12_268 ),
inference(forward_demodulation,[],[f128,f1803]) ).
fof(f3251,plain,
( op1(e10,e10) != e11
| ~ spl12_245 ),
inference(forward_demodulation,[],[f140,f1704]) ).
fof(f3253,plain,
( e11 != op1(e11,e13)
| ~ spl12_298 ),
inference(forward_demodulation,[],[f142,f1940]) ).
fof(f3255,plain,
( e11 != op1(e10,e13)
| ~ spl12_298 ),
inference(forward_demodulation,[],[f144,f1940]) ).
fof(f3268,plain,
( e20 = op2(e22,e21)
| ~ spl12_211 ),
inference(forward_demodulation,[],[f294,f1530]) ).
fof(f3274,plain,
( e20 = e23
| ~ spl12_211
| ~ spl12_219 ),
inference(forward_demodulation,[],[f3268,f1565]) ).
fof(f3277,plain,
( $false
| ~ spl12_211
| ~ spl12_219 ),
inference(forward_subsumption_resolution,[],[f3274,f222]) ).
fof(f3278,plain,
( ~ spl12_211
| ~ spl12_219 ),
inference(avatar_contradiction_clause,[],[f3277]) ).
fof(f3280,plain,
( e22 = e23
| ~ spl12_228
| ~ spl12_231 ),
inference(forward_demodulation,[],[f1620,f1606]) ).
fof(f3281,plain,
( ~ spl12_220
| ~ spl12_232 ),
inference(avatar_split_clause,[],[f3004,f1623,f1567]) ).
fof(f3285,plain,
( ~ spl12_204
| ~ spl12_221 ),
inference(avatar_split_clause,[],[f3014,f1572,f1497]) ).
fof(f3286,plain,
( spl12_204
| ~ spl12_211 ),
inference(avatar_split_clause,[],[f3268,f1528,f1497]) ).
fof(f3292,plain,
( $false
| ~ spl12_228
| ~ spl12_231 ),
inference(forward_subsumption_resolution,[],[f3280,f219]) ).
fof(f3293,plain,
( ~ spl12_228
| ~ spl12_231 ),
inference(avatar_contradiction_clause,[],[f3292]) ).
fof(f3297,plain,
( e21 != op2(e23,e22)
| ~ spl12_207 ),
inference(forward_demodulation,[],[f196,f1512]) ).
fof(f3298,plain,
( e22 != op2(e23,e22)
| ~ spl12_189 ),
inference(forward_demodulation,[],[f198,f1434]) ).
fof(f3300,plain,
( e21 != op2(e22,e22)
| ~ spl12_185 ),
inference(forward_demodulation,[],[f175,f1417]) ).
fof(f3301,plain,
( e21 != op2(e22,e22)
| ~ spl12_207 ),
inference(forward_demodulation,[],[f197,f1512]) ).
fof(f3302,plain,
( e22 != op2(e22,e22)
| ~ spl12_189 ),
inference(forward_demodulation,[],[f199,f1434]) ).
fof(f3304,plain,
( ~ spl12_226
| ~ spl12_207 ),
inference(avatar_split_clause,[],[f3297,f1510,f1595]) ).
fof(f3305,plain,
( ~ spl12_229
| ~ spl12_189 ),
inference(avatar_split_clause,[],[f3298,f1432,f1609]) ).
fof(f3307,plain,
( ~ spl12_224
| ~ spl12_185 ),
inference(avatar_split_clause,[],[f3300,f1415,f1586]) ).
fof(f3308,plain,
( ~ spl12_224
| ~ spl12_207 ),
inference(avatar_split_clause,[],[f3301,f1510,f1586]) ).
fof(f3329,plain,
( op2(e20,e20) = h1(e10)
| ~ spl12_173 ),
inference(forward_demodulation,[],[f297,f1366]) ).
fof(f3330,plain,
( e20 = h1(e10)
| ~ spl12_173 ),
inference(forward_demodulation,[],[f3329,f1366]) ).
fof(f3331,plain,
( spl12_5
| ~ spl12_173 ),
inference(avatar_split_clause,[],[f3330,f1364,f547]) ).
fof(f3336,plain,
( op2(e22,e21) = h2(e10)
| ~ spl12_211 ),
inference(forward_demodulation,[],[f301,f1530]) ).
fof(f3337,plain,
( $false
| ~ spl12_19
| spl12_74
| ~ spl12_83
| ~ spl12_211
| ~ spl12_268 ),
inference(forward_subsumption_resolution,[],[f3336,f3065]) ).
fof(f3338,plain,
( ~ spl12_19
| spl12_74
| ~ spl12_83
| ~ spl12_211
| ~ spl12_268 ),
inference(avatar_contradiction_clause,[],[f3337]) ).
fof(f3341,plain,
( e20 = h2(e10)
| ~ spl12_204
| ~ spl12_211 ),
inference(forward_demodulation,[],[f3336,f1499]) ).
fof(f3350,plain,
( spl12_15
| ~ spl12_204
| ~ spl12_211 ),
inference(avatar_split_clause,[],[f3341,f1528,f1497,f595]) ).
fof(f3354,plain,
( op2(e23,e22) = h3(e10)
| ~ spl12_230 ),
inference(forward_demodulation,[],[f305,f1616]) ).
fof(f3355,plain,
( e20 = h3(e10)
| ~ spl12_223
| ~ spl12_230 ),
inference(forward_demodulation,[],[f3354,f1583]) ).
fof(f3358,plain,
( spl12_25
| ~ spl12_223
| ~ spl12_230 ),
inference(avatar_split_clause,[],[f3355,f1614,f1581,f643]) ).
fof(f3369,plain,
( e13 = op1(e11,op1(e12,e11))
| ~ spl12_275 ),
inference(forward_demodulation,[],[f289,f1834]) ).
fof(f3370,plain,
( e13 = op1(e11,e10)
| ~ spl12_268
| ~ spl12_275 ),
inference(forward_demodulation,[],[f3369,f1803]) ).
fof(f3383,plain,
( ~ spl12_279
| ~ spl12_275 ),
inference(avatar_split_clause,[],[f3125,f1832,f1849]) ).
fof(f3384,plain,
( ~ spl12_272
| ~ spl12_298 ),
inference(avatar_split_clause,[],[f3253,f1938,f1818]) ).
fof(f3386,plain,
( spl12_262
| ~ spl12_268
| ~ spl12_275 ),
inference(avatar_split_clause,[],[f3370,f1832,f1801,f1775]) ).
fof(f3389,plain,
( ~ spl12_242
| ~ spl12_268 ),
inference(avatar_split_clause,[],[f3242,f1801,f1689]) ).
fof(f3396,plain,
( e13 != op1(e13,e13)
| ~ spl12_284 ),
inference(forward_demodulation,[],[f118,f1873]) ).
fof(f3400,plain,
( e10 != op1(e12,e12)
| ~ spl12_268 ),
inference(forward_demodulation,[],[f125,f1803]) ).
fof(f3403,plain,
( ~ spl12_285
| ~ spl12_268 ),
inference(avatar_split_clause,[],[f3400,f1801,f1876]) ).
fof(f3433,plain,
( e13 != op1(e12,e12)
| ~ spl12_295 ),
inference(forward_demodulation,[],[f123,f1924]) ).
fof(f3435,plain,
( e12 != op1(e12,e10)
| ~ spl12_291 ),
inference(forward_demodulation,[],[f127,f1906]) ).
fof(f3444,plain,
( e23 = op2(e21,op2(e22,e21))
| ~ spl12_211 ),
inference(forward_demodulation,[],[f292,f1530]) ).
fof(f3445,plain,
( e23 = op2(e21,e20)
| ~ spl12_204
| ~ spl12_211 ),
inference(forward_demodulation,[],[f3444,f1499]) ).
fof(f3446,plain,
( e23 = op2(e22,e22)
| ~ spl12_138
| ~ spl12_193 ),
inference(forward_demodulation,[],[f1178,f1451]) ).
fof(f3448,plain,
( e21 = op2(e23,e23)
| ~ spl12_140
| ~ spl12_198 ),
inference(forward_demodulation,[],[f1188,f1473]) ).
fof(f3456,plain,
( op1(e10,e10) = e12
| ~ spl12_162
| ~ spl12_268 ),
inference(forward_demodulation,[],[f1303,f1803]) ).
fof(f3457,plain,
( e11 = op1(e12,e12)
| ~ spl12_163
| ~ spl12_275 ),
inference(forward_demodulation,[],[f1308,f1834]) ).
fof(f3472,plain,
( op1(e10,e10) = e11
| ~ spl12_168
| ~ spl12_266 ),
inference(forward_demodulation,[],[f1332,f1794]) ).
fof(f3476,plain,
( $false
| ~ spl12_168
| spl12_244
| ~ spl12_266 ),
inference(forward_subsumption_resolution,[],[f3472,f1699]) ).
fof(f3477,plain,
( ~ spl12_168
| spl12_244
| ~ spl12_266 ),
inference(avatar_contradiction_clause,[],[f3476]) ).
fof(f3483,plain,
( e10 = op1(e10,e10)
| ~ spl12_166
| ~ spl12_240 ),
inference(forward_demodulation,[],[f1322,f1682]) ).
fof(f3486,plain,
( e11 = op1(e11,e11)
| ~ spl12_170
| ~ spl12_272 ),
inference(forward_demodulation,[],[f1342,f1820]) ).
fof(f3490,plain,
( $false
| ~ spl12_166
| spl12_237
| ~ spl12_240 ),
inference(forward_subsumption_resolution,[],[f3483,f1669]) ).
fof(f3491,plain,
( ~ spl12_166
| spl12_237
| ~ spl12_240 ),
inference(avatar_contradiction_clause,[],[f3490]) ).
fof(f3492,plain,
( e11 = e12
| ~ spl12_170
| ~ spl12_272
| ~ spl12_275 ),
inference(forward_demodulation,[],[f3486,f1834]) ).
fof(f3495,plain,
( $false
| ~ spl12_170
| ~ spl12_272
| ~ spl12_275 ),
inference(forward_subsumption_resolution,[],[f3492,f215]) ).
fof(f3496,plain,
( ~ spl12_170
| ~ spl12_272
| ~ spl12_275 ),
inference(avatar_contradiction_clause,[],[f3495]) ).
fof(f3506,plain,
( op2(e20,e20) != h2(op1(e10,e10))
| ~ spl12_15
| spl12_65 ),
inference(forward_demodulation,[],[f834,f596]) ).
fof(f3509,plain,
( ~ spl12_258
| ~ spl12_262 ),
inference(avatar_split_clause,[],[f3151,f1775,f1758]) ).
fof(f3510,plain,
( op1(e10,e10) != e11
| ~ spl12_249 ),
inference(forward_demodulation,[],[f163,f1721]) ).
fof(f3511,plain,
( spl12_251
| ~ spl12_162
| ~ spl12_268 ),
inference(avatar_split_clause,[],[f3456,f1801,f1301,f1728]) ).
fof(f3534,plain,
( h2(op1(e10,e13)) != op2(e20,h2(e13))
| ~ spl12_15
| spl12_68 ),
inference(forward_demodulation,[],[f846,f596]) ).
fof(f3581,plain,
( e13 = op1(e12,e12)
| ~ spl12_156
| ~ spl12_257 ),
inference(forward_demodulation,[],[f1274,f1755]) ).
fof(f3582,plain,
( $false
| ~ spl12_156
| ~ spl12_257
| spl12_294 ),
inference(forward_subsumption_resolution,[],[f3581,f1919]) ).
fof(f3583,plain,
( ~ spl12_156
| ~ spl12_257
| spl12_294 ),
inference(avatar_contradiction_clause,[],[f3582]) ).
fof(f3586,plain,
( ~ spl12_257
| ~ spl12_293 ),
inference(avatar_split_clause,[],[f2943,f1913,f1753]) ).
fof(f3593,plain,
( ~ spl12_256
| ~ spl12_291 ),
inference(avatar_split_clause,[],[f3435,f1904,f1749]) ).
fof(f3601,plain,
( spl12_288
| ~ spl12_163
| ~ spl12_275 ),
inference(avatar_split_clause,[],[f3457,f1832,f1306,f1890]) ).
fof(f3618,plain,
( e13 = op1(e11,e11)
| ~ spl12_156
| ~ spl12_250 ),
inference(forward_demodulation,[],[f1274,f1725]) ).
fof(f3619,plain,
( e12 = e13
| ~ spl12_156
| ~ spl12_250
| ~ spl12_275 ),
inference(forward_demodulation,[],[f3618,f1834]) ).
fof(f3620,plain,
( $false
| ~ spl12_156
| ~ spl12_250
| ~ spl12_275 ),
inference(forward_subsumption_resolution,[],[f3619,f213]) ).
fof(f3621,plain,
( ~ spl12_156
| ~ spl12_250
| ~ spl12_275 ),
inference(avatar_contradiction_clause,[],[f3620]) ).
fof(f3626,plain,
( e12 != op1(e13,e13)
| ~ spl12_254 ),
inference(forward_demodulation,[],[f144,f1742]) ).
fof(f3632,plain,
( e10 != op1(e13,e11)
| ~ spl12_268 ),
inference(forward_demodulation,[],[f153,f1803]) ).
fof(f3646,plain,
( ~ spl12_269
| ~ spl12_268 ),
inference(avatar_split_clause,[],[f3632,f1801,f1805]) ).
fof(f3654,plain,
( ~ spl12_256
| ~ spl12_251 ),
inference(avatar_split_clause,[],[f3075,f1728,f1749]) ).
fof(f3658,plain,
( ~ spl12_294
| ~ spl12_295 ),
inference(avatar_split_clause,[],[f3433,f1922,f1918]) ).
fof(f3798,plain,
( e11 = op1(e13,e13)
| ~ spl12_158
| ~ spl12_262 ),
inference(forward_demodulation,[],[f1284,f1777]) ).
fof(f3802,plain,
( e10 = op1(e12,e12)
| ~ spl12_159
| ~ spl12_251 ),
inference(forward_demodulation,[],[f1289,f1730]) ).
fof(f3803,plain,
( $false
| ~ spl12_159
| ~ spl12_251
| spl12_285 ),
inference(forward_subsumption_resolution,[],[f3802,f1877]) ).
fof(f3804,plain,
( ~ spl12_159
| ~ spl12_251
| spl12_285 ),
inference(avatar_contradiction_clause,[],[f3803]) ).
fof(f3817,plain,
( op1(e10,e10) = e13
| ~ spl12_156
| ~ spl12_243 ),
inference(forward_demodulation,[],[f1274,f1695]) ).
fof(f3821,plain,
( spl12_298
| ~ spl12_158
| ~ spl12_262 ),
inference(avatar_split_clause,[],[f3798,f1775,f1282,f1938]) ).
fof(f3824,plain,
( ~ spl12_244
| ~ spl12_245 ),
inference(avatar_split_clause,[],[f3251,f1702,f1698]) ).
fof(f3829,plain,
( ~ spl12_299
| ~ spl12_254 ),
inference(avatar_split_clause,[],[f3626,f1740,f1944]) ).
fof(f3830,plain,
( ~ spl12_300
| ~ spl12_284 ),
inference(avatar_split_clause,[],[f3396,f1871,f1950]) ).
fof(f3834,plain,
( ~ spl12_247
| ~ spl12_298 ),
inference(avatar_split_clause,[],[f3255,f1938,f1710]) ).
fof(f3857,plain,
( $false
| ~ spl12_156
| ~ spl12_243
| spl12_258 ),
inference(forward_subsumption_resolution,[],[f3817,f1759]) ).
fof(f3858,plain,
( ~ spl12_156
| ~ spl12_243
| spl12_258 ),
inference(avatar_contradiction_clause,[],[f3857]) ).
fof(f3925,plain,
( e12 = op1(e12,e12)
| ~ spl12_157
| ~ spl12_256 ),
inference(forward_demodulation,[],[f1279,f1751]) ).
fof(f3926,plain,
( $false
| ~ spl12_157
| ~ spl12_256
| spl12_291 ),
inference(forward_subsumption_resolution,[],[f3925,f1905]) ).
fof(f3927,plain,
( ~ spl12_157
| ~ spl12_256
| spl12_291 ),
inference(avatar_contradiction_clause,[],[f3926]) ).
fof(f3929,plain,
( e10 = op1(e11,e11)
| ~ spl12_159
| ~ spl12_244 ),
inference(forward_demodulation,[],[f1289,f1700]) ).
fof(f3930,plain,
( e10 = e12
| ~ spl12_159
| ~ spl12_244
| ~ spl12_275 ),
inference(forward_demodulation,[],[f3929,f1834]) ).
fof(f3931,plain,
( $false
| ~ spl12_159
| ~ spl12_244
| ~ spl12_275 ),
inference(forward_subsumption_resolution,[],[f3930,f217]) ).
fof(f3932,plain,
( ~ spl12_159
| ~ spl12_244
| ~ spl12_275 ),
inference(avatar_contradiction_clause,[],[f3931]) ).
fof(f3938,plain,
( e10 = op1(e12,e12)
| ~ spl12_166
| ~ spl12_254 ),
inference(forward_demodulation,[],[f1322,f1742]) ).
fof(f3939,plain,
( $false
| ~ spl12_166
| ~ spl12_254
| spl12_285 ),
inference(forward_subsumption_resolution,[],[f3938,f1877]) ).
fof(f3940,plain,
( ~ spl12_166
| ~ spl12_254
| spl12_285 ),
inference(avatar_contradiction_clause,[],[f3939]) ).
fof(f3942,plain,
( e12 = op1(e13,e13)
| ~ spl12_167
| ~ spl12_294 ),
inference(forward_demodulation,[],[f1327,f1920]) ).
fof(f3943,plain,
( $false
| ~ spl12_167
| ~ spl12_294
| spl12_299 ),
inference(forward_subsumption_resolution,[],[f3942,f1945]) ).
fof(f3944,plain,
( ~ spl12_167
| ~ spl12_294
| spl12_299 ),
inference(avatar_contradiction_clause,[],[f3943]) ).
fof(f3947,plain,
( op1(e10,e10) = e11
| ~ spl12_170
| ~ spl12_267 ),
inference(forward_demodulation,[],[f1342,f1798]) ).
fof(f3950,plain,
( ~ spl12_244
| ~ spl12_247 ),
inference(avatar_split_clause,[],[f2963,f1710,f1698]) ).
fof(f3954,plain,
( ~ spl12_244
| ~ spl12_249 ),
inference(avatar_split_clause,[],[f3510,f1719,f1698]) ).
fof(f3971,plain,
( spl12_244
| ~ spl12_170
| ~ spl12_267 ),
inference(avatar_split_clause,[],[f3947,f1796,f1340,f1698]) ).
fof(f4026,plain,
( h2(e13) != op2(e20,h2(e13))
| ~ spl12_15
| spl12_68
| ~ spl12_261 ),
inference(superposition,[],[f3534,f1772]) ).
fof(f4084,plain,
( e10 = op1(e13,e13)
| ~ spl12_166
| ~ spl12_261 ),
inference(forward_demodulation,[],[f1322,f1772]) ).
fof(f4085,plain,
( $false
| ~ spl12_166
| ~ spl12_261
| spl12_297 ),
inference(forward_subsumption_resolution,[],[f4084,f1933]) ).
fof(f4086,plain,
( ~ spl12_166
| ~ spl12_261
| spl12_297 ),
inference(avatar_contradiction_clause,[],[f4085]) ).
fof(f4088,plain,
( e11 = op1(e11,e11)
| ~ spl12_168
| ~ spl12_271 ),
inference(forward_demodulation,[],[f1332,f1816]) ).
fof(f4089,plain,
( e11 = e12
| ~ spl12_168
| ~ spl12_271
| ~ spl12_275 ),
inference(forward_demodulation,[],[f4088,f1834]) ).
fof(f4090,plain,
( $false
| ~ spl12_168
| ~ spl12_271
| ~ spl12_275 ),
inference(forward_subsumption_resolution,[],[f4089,f215]) ).
fof(f4091,plain,
( ~ spl12_168
| ~ spl12_271
| ~ spl12_275 ),
inference(avatar_contradiction_clause,[],[f4090]) ).
fof(f4094,plain,
( e10 = op1(e12,e12)
| ~ spl12_169
| ~ spl12_253 ),
inference(forward_demodulation,[],[f1337,f1738]) ).
fof(f4095,plain,
( $false
| ~ spl12_169
| ~ spl12_253
| spl12_285 ),
inference(forward_subsumption_resolution,[],[f4094,f1877]) ).
fof(f4096,plain,
( ~ spl12_169
| ~ spl12_253
| spl12_285 ),
inference(avatar_contradiction_clause,[],[f4095]) ).
fof(f4272,plain,
( h2(e13) = op2(e21,op2(e22,e21))
| ~ spl12_211 ),
inference(forward_demodulation,[],[f299,f1530]) ).
fof(f4273,plain,
( op2(e21,e20) = h2(e13)
| ~ spl12_204
| ~ spl12_211 ),
inference(forward_demodulation,[],[f4272,f1499]) ).
fof(f4274,plain,
( e23 = h2(e13)
| ~ spl12_198
| ~ spl12_204
| ~ spl12_211 ),
inference(forward_demodulation,[],[f4273,f1473]) ).
fof(f4277,plain,
( spl12_88
| ~ spl12_198
| ~ spl12_204
| ~ spl12_211 ),
inference(avatar_split_clause,[],[f4274,f1528,f1497,f1471,f936]) ).
fof(f4278,plain,
( e23 != op2(e20,e23)
| ~ spl12_15
| spl12_68
| ~ spl12_88
| ~ spl12_261 ),
inference(superposition,[],[f4026,f937]) ).
fof(f4282,plain,
( h2(op1(e10,e11)) != op2(h2(e10),e21)
| ~ spl12_19
| spl12_66 ),
inference(forward_demodulation,[],[f838,f615]) ).
fof(f4284,plain,
( op2(e20,e21) != h2(op1(e10,e11))
| ~ spl12_15
| ~ spl12_19
| spl12_66 ),
inference(forward_demodulation,[],[f4282,f596]) ).
fof(f4286,plain,
( op2(e20,e21) != h2(e11)
| ~ spl12_15
| ~ spl12_19
| spl12_66
| ~ spl12_245 ),
inference(forward_demodulation,[],[f4284,f1704]) ).
fof(f4288,plain,
( e21 != op2(e20,e21)
| ~ spl12_15
| ~ spl12_19
| spl12_66
| ~ spl12_245 ),
inference(forward_demodulation,[],[f4286,f615]) ).
fof(f4293,plain,
( h2(op1(e10,e12)) != op2(h2(e10),e22)
| spl12_67
| ~ spl12_83 ),
inference(forward_demodulation,[],[f842,f906]) ).
fof(f4295,plain,
( op2(e20,e22) != h2(op1(e10,e12))
| ~ spl12_15
| spl12_67
| ~ spl12_83 ),
inference(forward_demodulation,[],[f4293,f596]) ).
fof(f4297,plain,
( op2(e20,e22) != h2(e12)
| ~ spl12_15
| spl12_67
| ~ spl12_83
| ~ spl12_253 ),
inference(forward_demodulation,[],[f4295,f1738]) ).
fof(f4299,plain,
( e22 != op2(e20,e22)
| ~ spl12_15
| spl12_67
| ~ spl12_83
| ~ spl12_253 ),
inference(forward_demodulation,[],[f4297,f906]) ).
fof(f4303,plain,
( h2(op1(e11,e10)) != op2(h2(e11),e20)
| ~ spl12_15
| spl12_69 ),
inference(forward_demodulation,[],[f850,f596]) ).
fof(f4305,plain,
( op2(e21,e20) != h2(op1(e11,e10))
| ~ spl12_15
| ~ spl12_19
| spl12_69 ),
inference(forward_demodulation,[],[f4303,f615]) ).
fof(f4307,plain,
( op2(e21,e20) != h2(e13)
| ~ spl12_15
| ~ spl12_19
| spl12_69
| ~ spl12_262 ),
inference(forward_demodulation,[],[f4305,f1777]) ).
fof(f4309,plain,
( e23 != op2(e21,e20)
| ~ spl12_15
| ~ spl12_19
| spl12_69
| ~ spl12_88
| ~ spl12_262 ),
inference(forward_demodulation,[],[f4307,f937]) ).
fof(f4310,plain,
( $false
| ~ spl12_15
| ~ spl12_19
| spl12_69
| ~ spl12_88
| ~ spl12_198
| ~ spl12_262 ),
inference(forward_subsumption_resolution,[],[f4309,f1473]) ).
fof(f4311,plain,
( ~ spl12_15
| ~ spl12_19
| spl12_69
| ~ spl12_88
| ~ spl12_198
| ~ spl12_262 ),
inference(avatar_contradiction_clause,[],[f4310]) ).
fof(f4313,plain,
( op2(e21,e21) != h2(op1(e11,e11))
| ~ spl12_19
| spl12_70 ),
inference(forward_demodulation,[],[f854,f615]) ).
fof(f4315,plain,
( op2(e21,e21) != h2(e12)
| ~ spl12_19
| spl12_70
| ~ spl12_275 ),
inference(forward_demodulation,[],[f4313,f1834]) ).
fof(f4317,plain,
( e22 != op2(e21,e21)
| ~ spl12_19
| spl12_70
| ~ spl12_83
| ~ spl12_275 ),
inference(forward_demodulation,[],[f4315,f906]) ).
fof(f4319,plain,
( $false
| ~ spl12_19
| spl12_70
| ~ spl12_83
| ~ spl12_211
| ~ spl12_275 ),
inference(forward_subsumption_resolution,[],[f4317,f1530]) ).
fof(f4320,plain,
( ~ spl12_19
| spl12_70
| ~ spl12_83
| ~ spl12_211
| ~ spl12_275 ),
inference(avatar_contradiction_clause,[],[f4319]) ).
fof(f4322,plain,
( h2(op1(e11,e12)) != op2(h2(e11),e22)
| spl12_71
| ~ spl12_83 ),
inference(forward_demodulation,[],[f858,f906]) ).
fof(f4324,plain,
( op2(e21,e22) != h2(op1(e11,e12))
| ~ spl12_19
| spl12_71
| ~ spl12_83 ),
inference(forward_demodulation,[],[f4322,f615]) ).
fof(f4326,plain,
( op2(e21,e22) != h2(e11)
| ~ spl12_19
| spl12_71
| ~ spl12_83
| ~ spl12_271 ),
inference(forward_demodulation,[],[f4324,f1816]) ).
fof(f4327,plain,
( e21 != op2(e21,e22)
| ~ spl12_19
| spl12_71
| ~ spl12_83
| ~ spl12_271 ),
inference(forward_demodulation,[],[f4326,f615]) ).
fof(f4331,plain,
( h2(op1(e11,e13)) != op2(h2(e11),e23)
| spl12_72
| ~ spl12_88 ),
inference(forward_demodulation,[],[f862,f937]) ).
fof(f4333,plain,
( op2(e21,e23) != h2(op1(e11,e13))
| ~ spl12_19
| spl12_72
| ~ spl12_88 ),
inference(forward_demodulation,[],[f4331,f615]) ).
fof(f4335,plain,
( op2(e21,e23) != h2(e10)
| ~ spl12_19
| spl12_72
| ~ spl12_88
| ~ spl12_267 ),
inference(forward_demodulation,[],[f4333,f1798]) ).
fof(f4337,plain,
( e20 != op2(e21,e23)
| ~ spl12_15
| ~ spl12_19
| spl12_72
| ~ spl12_88
| ~ spl12_267 ),
inference(forward_demodulation,[],[f4335,f596]) ).
fof(f4341,plain,
( h2(op1(e12,e10)) != op2(h2(e12),e20)
| ~ spl12_15
| spl12_73 ),
inference(forward_demodulation,[],[f866,f596]) ).
fof(f4343,plain,
( op2(e22,e20) != h2(op1(e12,e10))
| ~ spl12_15
| spl12_73
| ~ spl12_83 ),
inference(forward_demodulation,[],[f4341,f906]) ).
fof(f4345,plain,
( op2(e22,e20) != h2(e11)
| ~ spl12_15
| spl12_73
| ~ spl12_83
| ~ spl12_249 ),
inference(forward_demodulation,[],[f4343,f1721]) ).
fof(f4347,plain,
( e21 != op2(e22,e20)
| ~ spl12_15
| ~ spl12_19
| spl12_73
| ~ spl12_83
| ~ spl12_249 ),
inference(forward_demodulation,[],[f4345,f615]) ).
fof(f4351,plain,
( op2(e22,e22) != h2(op1(e12,e12))
| spl12_75
| ~ spl12_83 ),
inference(forward_demodulation,[],[f874,f906]) ).
fof(f4353,plain,
( op2(e22,e22) != h2(e13)
| spl12_75
| ~ spl12_83
| ~ spl12_294 ),
inference(forward_demodulation,[],[f4351,f1920]) ).
fof(f4355,plain,
( e23 != op2(e22,e22)
| spl12_75
| ~ spl12_83
| ~ spl12_88
| ~ spl12_294 ),
inference(forward_demodulation,[],[f4353,f937]) ).
fof(f4360,plain,
( h2(op1(e12,e13)) != op2(h2(e12),e23)
| spl12_76
| ~ spl12_88 ),
inference(forward_demodulation,[],[f878,f937]) ).
fof(f4362,plain,
( op2(e22,e23) != h2(op1(e12,e13))
| spl12_76
| ~ spl12_83
| ~ spl12_88 ),
inference(forward_demodulation,[],[f4360,f906]) ).
fof(f4364,plain,
( op2(e22,e23) != h2(e12)
| spl12_76
| ~ spl12_83
| ~ spl12_88
| ~ spl12_292 ),
inference(forward_demodulation,[],[f4362,f1910]) ).
fof(f4365,plain,
( e22 != op2(e22,e23)
| spl12_76
| ~ spl12_83
| ~ spl12_88
| ~ spl12_292 ),
inference(forward_demodulation,[],[f4364,f906]) ).
fof(f4369,plain,
( h2(op1(e13,e10)) != op2(h2(e13),e20)
| ~ spl12_15
| spl12_77 ),
inference(forward_demodulation,[],[f882,f596]) ).
fof(f4371,plain,
( op2(e23,e20) != h2(op1(e13,e10))
| ~ spl12_15
| spl12_77
| ~ spl12_88 ),
inference(forward_demodulation,[],[f4369,f937]) ).
fof(f4373,plain,
( op2(e23,e20) != h2(e12)
| ~ spl12_15
| spl12_77
| ~ spl12_88
| ~ spl12_257 ),
inference(forward_demodulation,[],[f4371,f1755]) ).
fof(f4375,plain,
( e22 != op2(e23,e20)
| ~ spl12_15
| spl12_77
| ~ spl12_83
| ~ spl12_88
| ~ spl12_257 ),
inference(forward_demodulation,[],[f4373,f906]) ).
fof(f4379,plain,
( h2(op1(e13,e11)) != op2(h2(e13),e21)
| ~ spl12_19
| spl12_78 ),
inference(forward_demodulation,[],[f886,f615]) ).
fof(f4381,plain,
( op2(e23,e21) != h2(op1(e13,e11))
| ~ spl12_19
| spl12_78
| ~ spl12_88 ),
inference(forward_demodulation,[],[f4379,f937]) ).
fof(f4383,plain,
( op2(e23,e21) != h2(e13)
| ~ spl12_19
| spl12_78
| ~ spl12_88
| ~ spl12_284 ),
inference(forward_demodulation,[],[f4381,f1873]) ).
fof(f4385,plain,
( e23 != op2(e23,e21)
| ~ spl12_19
| spl12_78
| ~ spl12_88
| ~ spl12_284 ),
inference(forward_demodulation,[],[f4383,f937]) ).
fof(f4389,plain,
( h2(op1(e13,e12)) != op2(h2(e13),e22)
| spl12_79
| ~ spl12_83 ),
inference(forward_demodulation,[],[f890,f906]) ).
fof(f4391,plain,
( op2(e23,e22) != h2(op1(e13,e12))
| spl12_79
| ~ spl12_83
| ~ spl12_88 ),
inference(forward_demodulation,[],[f4389,f937]) ).
fof(f4393,plain,
( op2(e23,e22) != h2(e10)
| spl12_79
| ~ spl12_83
| ~ spl12_88
| ~ spl12_287 ),
inference(forward_demodulation,[],[f4391,f1887]) ).
fof(f4395,plain,
( e20 != op2(e23,e22)
| ~ spl12_15
| spl12_79
| ~ spl12_83
| ~ spl12_88
| ~ spl12_287 ),
inference(forward_demodulation,[],[f4393,f596]) ).
fof(f4399,plain,
( op2(e23,e23) != h2(op1(e13,e13))
| spl12_80
| ~ spl12_88 ),
inference(forward_demodulation,[],[f894,f937]) ).
fof(f4401,plain,
( op2(e23,e23) != h2(e11)
| spl12_80
| ~ spl12_88
| ~ spl12_298 ),
inference(forward_demodulation,[],[f4399,f1940]) ).
fof(f4403,plain,
( e21 != op2(e23,e23)
| ~ spl12_19
| spl12_80
| ~ spl12_88
| ~ spl12_298 ),
inference(forward_demodulation,[],[f4401,f615]) ).
fof(f4408,plain,
( e21 = e23
| ~ spl12_210
| ~ spl12_220 ),
inference(forward_demodulation,[],[f1525,f1569]) ).
fof(f4417,plain,
( spl12_234
| ~ spl12_140
| ~ spl12_198 ),
inference(avatar_split_clause,[],[f3448,f1471,f1186,f1634]) ).
fof(f4418,plain,
( ~ spl12_234
| ~ spl12_19
| spl12_80
| ~ spl12_88
| ~ spl12_298 ),
inference(avatar_split_clause,[],[f4403,f1938,f936,f892,f614,f1634]) ).
fof(f4422,plain,
( $false
| spl12_39
| ~ spl12_134
| ~ spl12_210
| ~ spl12_220 ),
inference(forward_subsumption_resolution,[],[f4408,f2161]) ).
fof(f4423,plain,
( spl12_39
| ~ spl12_134
| ~ spl12_210
| ~ spl12_220 ),
inference(avatar_contradiction_clause,[],[f4422]) ).
fof(f4433,plain,
( op2(e20,e20) = e22
| ~ spl12_144
| ~ spl12_204 ),
inference(forward_demodulation,[],[f1207,f1499]) ).
fof(f4434,plain,
( e21 = op2(e22,e22)
| ~ spl12_145
| ~ spl12_211 ),
inference(forward_demodulation,[],[f1212,f1530]) ).
fof(f4438,plain,
( e23 != op2(e22,e23)
| ~ spl12_230 ),
inference(forward_demodulation,[],[f171,f1616]) ).
fof(f4439,plain,
( e20 != op2(e22,e23)
| ~ spl12_204 ),
inference(forward_demodulation,[],[f172,f1499]) ).
fof(f4443,plain,
( ~ spl12_227
| ~ spl12_189 ),
inference(avatar_split_clause,[],[f3302,f1432,f1600]) ).
fof(f4452,plain,
( ~ spl12_194
| ~ spl12_198 ),
inference(avatar_split_clause,[],[f3061,f1471,f1454]) ).
fof(f4454,plain,
( e23 != op2(e23,e20)
| ~ spl12_198 ),
inference(forward_demodulation,[],[f208,f1473]) ).
fof(f4461,plain,
( e20 = op2(op2(e20,e20),e20)
| ~ spl12_5 ),
inference(forward_demodulation,[],[f297,f548]) ).
fof(f4491,plain,
( spl12_187
| ~ spl12_144
| ~ spl12_204 ),
inference(avatar_split_clause,[],[f4433,f1497,f1205,f1424]) ).
fof(f4497,plain,
( ~ spl12_231
| ~ spl12_230 ),
inference(avatar_split_clause,[],[f4438,f1614,f1618]) ).
fof(f4498,plain,
( ~ spl12_222
| ~ spl12_204 ),
inference(avatar_split_clause,[],[f4439,f1497,f1576]) ).
fof(f4506,plain,
( ~ spl12_200
| ~ spl12_198 ),
inference(avatar_split_clause,[],[f4454,f1471,f1479]) ).
fof(f4532,plain,
( e21 = e23
| ~ spl12_224
| ~ spl12_230 ),
inference(forward_demodulation,[],[f1588,f1616]) ).
fof(f4535,plain,
( ~ spl12_225
| ~ spl12_234 ),
inference(avatar_split_clause,[],[f3034,f1634,f1590]) ).
fof(f4538,plain,
( e22 != op2(e21,e22)
| ~ spl12_211 ),
inference(forward_demodulation,[],[f179,f1530]) ).
fof(f4540,plain,
( e20 != op2(e21,e22)
| ~ spl12_223 ),
inference(forward_demodulation,[],[f196,f1583]) ).
fof(f4544,plain,
( spl12_198
| ~ spl12_204
| ~ spl12_211 ),
inference(avatar_split_clause,[],[f3445,f1528,f1497,f1471]) ).
fof(f4545,plain,
( e20 != op2(e22,e20)
| ~ spl12_204 ),
inference(forward_demodulation,[],[f176,f1499]) ).
fof(f4561,plain,
( $false
| spl12_39
| ~ spl12_134
| ~ spl12_224
| ~ spl12_230 ),
inference(forward_subsumption_resolution,[],[f4532,f2161]) ).
fof(f4562,plain,
( spl12_39
| ~ spl12_134
| ~ spl12_224
| ~ spl12_230 ),
inference(avatar_contradiction_clause,[],[f4561]) ).
fof(f4607,plain,
( op2(e20,e20) != h2(e10)
| ~ spl12_15
| spl12_65
| ~ spl12_237 ),
inference(forward_demodulation,[],[f3506,f1670]) ).
fof(f4613,plain,
( ~ spl12_193
| ~ spl12_15
| spl12_77
| ~ spl12_83
| ~ spl12_88
| ~ spl12_257 ),
inference(avatar_split_clause,[],[f4375,f1753,f936,f905,f880,f595,f1449]) ).
fof(f4640,plain,
( e20 = op2(e23,e22)
| ~ spl12_25
| ~ spl12_230 ),
inference(forward_demodulation,[],[f3354,f644]) ).
fof(f4641,plain,
( e21 != op2(e20,e22)
| ~ spl12_181 ),
inference(forward_demodulation,[],[f185,f1400]) ).
fof(f4642,plain,
( e23 != op2(e20,e22)
| ~ spl12_230 ),
inference(forward_demodulation,[],[f199,f1616]) ).
fof(f4673,plain,
( e20 != op2(e20,e20)
| ~ spl12_15
| spl12_65
| ~ spl12_237 ),
inference(forward_demodulation,[],[f4607,f596]) ).
fof(f4692,plain,
( spl12_223
| ~ spl12_25
| ~ spl12_230 ),
inference(avatar_split_clause,[],[f4640,f1614,f643,f1581]) ).
fof(f4693,plain,
( ~ spl12_196
| ~ spl12_230 ),
inference(avatar_split_clause,[],[f4642,f1614,f1462]) ).
fof(f4714,plain,
( ~ spl12_173
| ~ spl12_15
| spl12_65
| ~ spl12_237 ),
inference(avatar_split_clause,[],[f4673,f1668,f832,f595,f1364]) ).
fof(f4732,plain,
( ~ spl12_189
| ~ spl12_15
| spl12_67
| ~ spl12_83
| ~ spl12_253 ),
inference(avatar_split_clause,[],[f4299,f1736,f905,f840,f595,f1432]) ).
fof(f4903,plain,
( e20 = op2(e22,e20)
| ~ spl12_5
| ~ spl12_187 ),
inference(forward_demodulation,[],[f4461,f1426]) ).
fof(f4910,plain,
( $false
| ~ spl12_5
| spl12_178
| ~ spl12_187 ),
inference(forward_subsumption_resolution,[],[f4903,f1386]) ).
fof(f4911,plain,
( ~ spl12_5
| spl12_178
| ~ spl12_187 ),
inference(avatar_contradiction_clause,[],[f4910]) ).
fof(f5147,plain,
( e20 != op2(e20,e20)
| ~ spl12_175 ),
inference(forward_demodulation,[],[f187,f1374]) ).
fof(f5157,plain,
( e20 != op2(e20,e20)
| ~ spl12_179 ),
inference(forward_demodulation,[],[f210,f1391]) ).
fof(f5167,plain,
( op2(e20,e20) = e21
| ~ spl12_152
| ~ spl12_203 ),
inference(forward_demodulation,[],[f1246,f1494]) ).
fof(f5168,plain,
( e22 = op2(e22,e22)
| ~ spl12_153
| ~ spl12_228 ),
inference(forward_demodulation,[],[f1254,f1606]) ).
fof(f5173,plain,
( $false
| ~ spl12_152
| spl12_180
| ~ spl12_203 ),
inference(forward_subsumption_resolution,[],[f5167,f1395]) ).
fof(f5174,plain,
( ~ spl12_152
| spl12_180
| ~ spl12_203 ),
inference(avatar_contradiction_clause,[],[f5173]) ).
fof(f5175,plain,
( $false
| ~ spl12_153
| spl12_227
| ~ spl12_228 ),
inference(forward_subsumption_resolution,[],[f5168,f1601]) ).
fof(f5176,plain,
( ~ spl12_153
| spl12_227
| ~ spl12_228 ),
inference(avatar_contradiction_clause,[],[f5175]) ).
fof(f5182,plain,
( e22 = op2(e23,e23)
| ~ spl12_149
| ~ spl12_230 ),
inference(forward_demodulation,[],[f1231,f1616]) ).
fof(f5183,plain,
( e21 = op2(e21,e21)
| ~ spl12_150
| ~ spl12_207 ),
inference(forward_demodulation,[],[f1236,f1512]) ).
fof(f5184,plain,
( e20 = op2(e20,e20)
| ~ spl12_151
| ~ spl12_175 ),
inference(forward_demodulation,[],[f1241,f1374]) ).
fof(f5190,plain,
( e21 = e22
| ~ spl12_150
| ~ spl12_207
| ~ spl12_211 ),
inference(forward_demodulation,[],[f5183,f1530]) ).
fof(f5191,plain,
( $false
| ~ spl12_151
| spl12_173
| ~ spl12_175 ),
inference(forward_subsumption_resolution,[],[f5184,f1365]) ).
fof(f5192,plain,
( ~ spl12_151
| spl12_173
| ~ spl12_175 ),
inference(avatar_contradiction_clause,[],[f5191]) ).
fof(f5194,plain,
( $false
| ~ spl12_150
| ~ spl12_207
| ~ spl12_211 ),
inference(forward_subsumption_resolution,[],[f5190,f221]) ).
fof(f5195,plain,
( ~ spl12_150
| ~ spl12_207
| ~ spl12_211 ),
inference(avatar_contradiction_clause,[],[f5194]) ).
fof(f5199,plain,
( ~ spl12_197
| ~ spl12_15
| spl12_68
| ~ spl12_88
| ~ spl12_261 ),
inference(avatar_split_clause,[],[f4278,f1770,f936,f844,f595,f1466]) ).
fof(f5204,plain,
( ~ spl12_207
| ~ spl12_19
| spl12_71
| ~ spl12_83
| ~ spl12_271 ),
inference(avatar_split_clause,[],[f4327,f1814,f905,f856,f614,f1510]) ).
fof(f5209,plain,
( ~ spl12_185
| ~ spl12_15
| ~ spl12_19
| spl12_73
| ~ spl12_83
| ~ spl12_249 ),
inference(avatar_split_clause,[],[f4347,f1719,f905,f864,f614,f595,f1415]) ).
fof(f5220,plain,
( e21 = e22
| ~ spl12_180
| ~ spl12_187 ),
inference(forward_demodulation,[],[f1396,f1426]) ).
fof(f5231,plain,
( ~ spl12_208
| ~ spl12_234 ),
inference(avatar_split_clause,[],[f3036,f1634,f1514]) ).
fof(f5233,plain,
( e23 != op2(e21,e22)
| ~ spl12_198 ),
inference(forward_demodulation,[],[f181,f1473]) ).
fof(f5244,plain,
( e23 != op2(e22,e20)
| ~ spl12_198 ),
inference(forward_demodulation,[],[f209,f1473]) ).
fof(f5245,plain,
( e22 != op2(e22,e20)
| ~ spl12_187 ),
inference(forward_demodulation,[],[f211,f1426]) ).
fof(f5246,plain,
( ~ spl12_182
| ~ spl12_181 ),
inference(avatar_split_clause,[],[f4641,f1398,f1402]) ).
fof(f5267,plain,
( $false
| ~ spl12_180
| ~ spl12_187 ),
inference(forward_subsumption_resolution,[],[f5220,f221]) ).
fof(f5268,plain,
( ~ spl12_180
| ~ spl12_187 ),
inference(avatar_contradiction_clause,[],[f5267]) ).
fof(f5273,plain,
( ~ spl12_199
| ~ spl12_198 ),
inference(avatar_split_clause,[],[f5244,f1471,f1475]) ).
fof(f5295,plain,
( $false
| ~ spl12_39
| ~ spl12_134
| ~ spl12_184
| spl12_200 ),
inference(forward_subsumption_resolution,[],[f2127,f1480]) ).
fof(f5296,plain,
( ~ spl12_39
| ~ spl12_134
| ~ spl12_184
| spl12_200 ),
inference(avatar_contradiction_clause,[],[f5295]) ).
fof(f5311,plain,
( ~ spl12_203
| ~ spl12_15
| ~ spl12_19
| spl12_72
| ~ spl12_88
| ~ spl12_267 ),
inference(avatar_split_clause,[],[f4337,f1796,f936,f860,f614,f595,f1492]) ).
fof(f5329,plain,
( spl12_224
| ~ spl12_145
| ~ spl12_211 ),
inference(avatar_split_clause,[],[f4434,f1528,f1210,f1586]) ).
fof(f5342,plain,
( ~ spl12_230
| ~ spl12_232 ),
inference(avatar_split_clause,[],[f3041,f1623,f1614]) ).
fof(f5344,plain,
( e20 != op2(e23,e23)
| ~ spl12_179 ),
inference(forward_demodulation,[],[f168,f1391]) ).
fof(f5352,plain,
( e20 != op2(e20,e21)
| ~ spl12_204 ),
inference(forward_demodulation,[],[f205,f1499]) ).
fof(f5354,plain,
( ~ spl12_178
| ~ spl12_204 ),
inference(avatar_split_clause,[],[f4545,f1497,f1385]) ).
fof(f5388,plain,
( ~ spl12_233
| ~ spl12_179 ),
inference(avatar_split_clause,[],[f5344,f1389,f1628]) ).
fof(f5389,plain,
( ~ spl12_174
| ~ spl12_204 ),
inference(avatar_split_clause,[],[f5352,f1497,f1368]) ).
fof(f5478,plain,
( ~ spl12_181
| ~ spl12_15
| ~ spl12_19
| spl12_66
| ~ spl12_245 ),
inference(avatar_split_clause,[],[f4288,f1702,f836,f614,f595,f1398]) ).
fof(f5482,plain,
( ~ spl12_228
| spl12_76
| ~ spl12_83
| ~ spl12_88
| ~ spl12_292 ),
inference(avatar_split_clause,[],[f4365,f1908,f936,f905,f876,f1604]) ).
fof(f5485,plain,
( spl12_235
| ~ spl12_149
| ~ spl12_230 ),
inference(avatar_split_clause,[],[f5182,f1614,f1229,f1640]) ).
fof(f5490,plain,
( ~ spl12_188
| ~ spl12_211 ),
inference(avatar_split_clause,[],[f3055,f1528,f1428]) ).
fof(f5492,plain,
( ~ spl12_179
| ~ spl12_39
| ~ spl12_134
| spl12_177 ),
inference(avatar_split_clause,[],[f2125,f1381,f1144,f710,f1389]) ).
fof(f5577,plain,
( ~ spl12_173
| ~ spl12_179 ),
inference(avatar_split_clause,[],[f5157,f1389,f1364]) ).
fof(f5579,plain,
( ~ spl12_180
| ~ spl12_181 ),
inference(avatar_split_clause,[],[f3033,f1398,f1394]) ).
fof(f5584,plain,
( ~ spl12_212
| ~ spl12_211 ),
inference(avatar_split_clause,[],[f4538,f1528,f1532]) ).
fof(f5952,plain,
( ~ spl12_230
| spl12_75
| ~ spl12_83
| ~ spl12_88
| ~ spl12_294 ),
inference(avatar_split_clause,[],[f4355,f1918,f936,f905,f872,f1614]) ).
fof(f5962,plain,
( ~ spl12_220
| ~ spl12_19
| spl12_78
| ~ spl12_88
| ~ spl12_284 ),
inference(avatar_split_clause,[],[f4385,f1871,f936,f884,f614,f1567]) ).
fof(f5981,plain,
( spl12_230
| ~ spl12_138
| ~ spl12_193 ),
inference(avatar_split_clause,[],[f3446,f1449,f1176,f1614]) ).
fof(f5990,plain,
( ~ spl12_176
| ~ spl12_203 ),
inference(avatar_split_clause,[],[f3040,f1492,f1376]) ).
fof(f5995,plain,
( ~ spl12_202
| ~ spl12_223 ),
inference(avatar_split_clause,[],[f4540,f1581,f1488]) ).
fof(f5996,plain,
( ~ spl12_210
| ~ spl12_234 ),
inference(avatar_split_clause,[],[f3003,f1634,f1523]) ).
fof(f5997,plain,
( ~ spl12_217
| ~ spl12_198 ),
inference(avatar_split_clause,[],[f5233,f1471,f1554]) ).
fof(f6150,plain,
( ~ spl12_223
| ~ spl12_15
| spl12_79
| ~ spl12_83
| ~ spl12_88
| ~ spl12_287 ),
inference(avatar_split_clause,[],[f4395,f1885,f936,f905,f888,f595,f1581]) ).
fof(f6329,plain,
( e23 != op2(e20,e23)
| ~ spl12_231 ),
inference(forward_demodulation,[],[f193,f1620]) ).
fof(f6331,plain,
( e21 != op2(e20,e23)
| ~ spl12_208 ),
inference(forward_demodulation,[],[f194,f1516]) ).
fof(f6337,plain,
( e20 != op2(e20,e22)
| ~ spl12_202 ),
inference(forward_demodulation,[],[f200,f1490]) ).
fof(f6343,plain,
( op2(e21,e22) = h3(e10)
| ~ spl12_224 ),
inference(forward_demodulation,[],[f305,f1588]) ).
fof(f6344,plain,
( e20 = h3(e10)
| ~ spl12_202
| ~ spl12_224 ),
inference(forward_demodulation,[],[f6343,f1490]) ).
fof(f6351,plain,
( spl12_25
| ~ spl12_202
| ~ spl12_224 ),
inference(avatar_split_clause,[],[f6344,f1586,f1488,f643]) ).
fof(f6418,plain,
( e23 = op2(e21,e21)
| ~ spl12_138
| ~ spl12_186 ),
inference(forward_demodulation,[],[f1178,f1421]) ).
fof(f6419,plain,
( e22 = e23
| ~ spl12_138
| ~ spl12_186
| ~ spl12_211 ),
inference(forward_demodulation,[],[f6418,f1530]) ).
fof(f6420,plain,
( $false
| ~ spl12_138
| ~ spl12_186
| ~ spl12_211 ),
inference(forward_subsumption_resolution,[],[f6419,f219]) ).
fof(f6421,plain,
( ~ spl12_138
| ~ spl12_186
| ~ spl12_211 ),
inference(avatar_contradiction_clause,[],[f6420]) ).
fof(f6433,plain,
( e20 = op2(e22,e22)
| ~ spl12_148
| ~ spl12_190 ),
inference(forward_demodulation,[],[f1226,f1438]) ).
fof(f6434,plain,
( $false
| ~ spl12_148
| ~ spl12_190
| spl12_221 ),
inference(forward_subsumption_resolution,[],[f6433,f1573]) ).
fof(f6435,plain,
( ~ spl12_148
| ~ spl12_190
| spl12_221 ),
inference(avatar_contradiction_clause,[],[f6434]) ).
fof(f6461,plain,
( op2(e20,e20) = e21
| ~ spl12_150
| ~ spl12_202 ),
inference(forward_demodulation,[],[f1236,f1490]) ).
fof(f6489,plain,
( $false
| ~ spl12_150
| spl12_180
| ~ spl12_202 ),
inference(forward_subsumption_resolution,[],[f6461,f1395]) ).
fof(f6490,plain,
( ~ spl12_150
| spl12_180
| ~ spl12_202 ),
inference(avatar_contradiction_clause,[],[f6489]) ).
fof(f6613,plain,
( ~ spl12_173
| ~ spl12_175 ),
inference(avatar_split_clause,[],[f5147,f1372,f1364]) ).
fof(f6616,plain,
( ~ spl12_192
| ~ spl12_187 ),
inference(avatar_split_clause,[],[f5245,f1424,f1445]) ).
fof(f6620,plain,
( e21 != op2(e22,e23)
| ~ spl12_208 ),
inference(forward_demodulation,[],[f191,f1516]) ).
fof(f6621,plain,
( ~ spl12_183
| ~ spl12_208 ),
inference(avatar_split_clause,[],[f6331,f1514,f1406]) ).
fof(f6622,plain,
( ~ spl12_175
| ~ spl12_202 ),
inference(avatar_split_clause,[],[f6337,f1488,f1372]) ).
fof(f6703,plain,
( ~ spl12_225
| ~ spl12_208 ),
inference(avatar_split_clause,[],[f6620,f1514,f1590]) ).
fof(f6785,plain,
( ~ spl12_197
| ~ spl12_231 ),
inference(avatar_split_clause,[],[f6329,f1618,f1466]) ).
fof(f7035,plain,
( e22 = e23
| ~ spl12_235
| ~ spl12_236 ),
inference(forward_demodulation,[],[f1648,f1642]) ).
fof(f7036,plain,
( $false
| ~ spl12_235
| ~ spl12_236 ),
inference(forward_subsumption_resolution,[],[f7035,f219]) ).
fof(f7037,plain,
( ~ spl12_235
| ~ spl12_236 ),
inference(avatar_contradiction_clause,[],[f7036]) ).
fof(f7178,plain,
( e20 = op2(e22,e22)
| ~ spl12_141
| ~ spl12_187 ),
inference(forward_demodulation,[],[f1193,f1426]) ).
fof(f7179,plain,
( $false
| ~ spl12_141
| ~ spl12_187
| spl12_221 ),
inference(forward_subsumption_resolution,[],[f7178,f1573]) ).
fof(f7180,plain,
( ~ spl12_141
| ~ spl12_187
| spl12_221 ),
inference(avatar_contradiction_clause,[],[f7179]) ).
fof(f7185,plain,
( e23 = op2(e23,e23)
| ~ spl12_147
| ~ spl12_232 ),
inference(forward_demodulation,[],[f1222,f1625]) ).
fof(f7186,plain,
( e22 = e23
| ~ spl12_147
| ~ spl12_232
| ~ spl12_235 ),
inference(forward_demodulation,[],[f7185,f1642]) ).
fof(f7187,plain,
( $false
| ~ spl12_147
| ~ spl12_232
| ~ spl12_235 ),
inference(forward_subsumption_resolution,[],[f7186,f219]) ).
fof(f7188,plain,
( ~ spl12_147
| ~ spl12_232
| ~ spl12_235 ),
inference(avatar_contradiction_clause,[],[f7187]) ).
fof(f7191,plain,
( e20 = op2(e20,e20)
| ~ spl12_148
| ~ spl12_176 ),
inference(forward_demodulation,[],[f1226,f1378]) ).
fof(f7192,plain,
( $false
| ~ spl12_148
| spl12_173
| ~ spl12_176 ),
inference(forward_subsumption_resolution,[],[f7191,f1365]) ).
fof(f7193,plain,
( ~ spl12_148
| spl12_173
| ~ spl12_176 ),
inference(avatar_contradiction_clause,[],[f7192]) ).
cnf(s12,plain,
( spl12_11
| ~ spl12_15 ),
inference(sat_conversion,[],[f598]) ).
cnf(s15,plain,
( ~ spl12_16
| ~ spl12_19 ),
inference(sat_conversion,[],[f617]) ).
cnf(s62,plain,
( ~ spl12_11
| spl12_16
| ~ spl12_65
| ~ spl12_66
| ~ spl12_67
| ~ spl12_68
| ~ spl12_69
| ~ spl12_70
| ~ spl12_71
| ~ spl12_72
| ~ spl12_73
| ~ spl12_74
| ~ spl12_75
| ~ spl12_76
| ~ spl12_77
| ~ spl12_78
| ~ spl12_79
| ~ spl12_80
| ~ spl12_83
| ~ spl12_88 ),
inference(sat_conversion,[],[f940]) ).
cnf(s97,plain,
spl12_134,
inference(sat_conversion,[],[f1167]) ).
cnf(s98,plain,
spl12_108,
inference(sat_conversion,[],[f1168]) ).
cnf(s99,plain,
spl12_19,
inference(sat_conversion,[],[f1169]) ).
cnf(s100,plain,
spl12_4,
inference(sat_conversion,[],[f1170]) ).
cnf(s101,plain,
( ~ spl12_137
| spl12_138 ),
inference(sat_conversion,[],[f1179]) ).
cnf(s103,plain,
( ~ spl12_137
| spl12_140 ),
inference(sat_conversion,[],[f1189]) ).
cnf(s104,plain,
( ~ spl12_137
| spl12_141 ),
inference(sat_conversion,[],[f1194]) ).
cnf(s106,plain,
( spl12_142
| spl12_144 ),
inference(sat_conversion,[],[f1208]) ).
cnf(s107,plain,
( spl12_142
| spl12_145 ),
inference(sat_conversion,[],[f1213]) ).
cnf(s109,plain,
( spl12_137
| ~ spl12_142
| spl12_147
| spl12_148 ),
inference(sat_conversion,[],[f1227]) ).
cnf(s110,plain,
( spl12_137
| ~ spl12_142
| spl12_148
| spl12_149 ),
inference(sat_conversion,[],[f1232]) ).
cnf(s111,plain,
( spl12_137
| ~ spl12_142
| spl12_148
| spl12_150 ),
inference(sat_conversion,[],[f1237]) ).
cnf(s112,plain,
( spl12_137
| ~ spl12_142
| spl12_148
| spl12_151 ),
inference(sat_conversion,[],[f1242]) ).
cnf(s115,plain,
( spl12_137
| ~ spl12_142
| spl12_150
| spl12_152 ),
inference(sat_conversion,[],[f1249]) ).
cnf(s116,plain,
( spl12_137
| ~ spl12_142
| spl12_151
| spl12_152 ),
inference(sat_conversion,[],[f1250]) ).
cnf(s118,plain,
( spl12_137
| ~ spl12_142
| spl12_149
| spl12_153 ),
inference(sat_conversion,[],[f1256]) ).
cnf(s119,plain,
( spl12_137
| ~ spl12_142
| spl12_150
| spl12_153 ),
inference(sat_conversion,[],[f1257]) ).
cnf(s125,plain,
( spl12_155
| spl12_156 ),
inference(sat_conversion,[],[f1275]) ).
cnf(s126,plain,
( spl12_155
| spl12_157 ),
inference(sat_conversion,[],[f1280]) ).
cnf(s127,plain,
( spl12_155
| spl12_158 ),
inference(sat_conversion,[],[f1285]) ).
cnf(s128,plain,
( spl12_155
| spl12_159 ),
inference(sat_conversion,[],[f1290]) ).
cnf(s130,plain,
( ~ spl12_160
| spl12_162 ),
inference(sat_conversion,[],[f1304]) ).
cnf(s131,plain,
( ~ spl12_160
| spl12_163 ),
inference(sat_conversion,[],[f1309]) ).
cnf(s135,plain,
( ~ spl12_155
| spl12_160
| spl12_166
| spl12_168 ),
inference(sat_conversion,[],[f1333]) ).
cnf(s136,plain,
( ~ spl12_155
| spl12_160
| spl12_166
| spl12_169 ),
inference(sat_conversion,[],[f1338]) ).
cnf(s138,plain,
( ~ spl12_155
| spl12_160
| spl12_167
| spl12_170 ),
inference(sat_conversion,[],[f1344]) ).
cnf(s139,plain,
( ~ spl12_155
| spl12_160
| spl12_168
| spl12_170 ),
inference(sat_conversion,[],[f1345]) ).
cnf(s140,plain,
( ~ spl12_155
| spl12_160
| spl12_169
| spl12_170 ),
inference(sat_conversion,[],[f1346]) ).
cnf(s149,plain,
( spl12_173
| spl12_174
| spl12_175
| spl12_176 ),
inference(sat_conversion,[],[f1379]) ).
cnf(s150,plain,
( spl12_173
| spl12_177
| spl12_178
| spl12_179 ),
inference(sat_conversion,[],[f1392]) ).
cnf(s151,plain,
( spl12_180
| spl12_181
| spl12_182
| spl12_183 ),
inference(sat_conversion,[],[f1409]) ).
cnf(s152,plain,
( spl12_180
| spl12_184
| spl12_185
| spl12_186 ),
inference(sat_conversion,[],[f1422]) ).
cnf(s153,plain,
( spl12_187
| spl12_188
| spl12_189
| spl12_190 ),
inference(sat_conversion,[],[f1439]) ).
cnf(s155,plain,
( spl12_194
| spl12_195
| spl12_196
| spl12_197 ),
inference(sat_conversion,[],[f1469]) ).
cnf(s157,plain,
( spl12_177
| spl12_201
| spl12_202
| spl12_203 ),
inference(sat_conversion,[],[f1495]) ).
cnf(s159,plain,
( spl12_184
| spl12_206
| spl12_207
| spl12_208 ),
inference(sat_conversion,[],[f1517]) ).
cnf(s160,plain,
( spl12_181
| spl12_206
| spl12_209
| spl12_210 ),
inference(sat_conversion,[],[f1526]) ).
cnf(s164,plain,
( spl12_195
| spl12_216
| spl12_219
| spl12_220 ),
inference(sat_conversion,[],[f1570]) ).
cnf(s166,plain,
( spl12_175
| spl12_202
| spl12_221
| spl12_223 ),
inference(sat_conversion,[],[f1584]) ).
cnf(s167,plain,
( spl12_185
| spl12_209
| spl12_224
| spl12_225 ),
inference(sat_conversion,[],[f1593]) ).
cnf(s171,plain,
( spl12_199
| spl12_219
| spl12_230
| spl12_231 ),
inference(sat_conversion,[],[f1621]) ).
cnf(s172,plain,
( spl12_196
| spl12_217
| spl12_230
| spl12_232 ),
inference(sat_conversion,[],[f1626]) ).
cnf(s174,plain,
( spl12_176
| spl12_203
| spl12_222
| spl12_233 ),
inference(sat_conversion,[],[f1632]) ).
cnf(s178,plain,
( spl12_190
| spl12_213
| spl12_228
| spl12_235 ),
inference(sat_conversion,[],[f1644]) ).
cnf(s179,plain,
( spl12_200
| spl12_220
| spl12_232
| spl12_236 ),
inference(sat_conversion,[],[f1649]) ).
cnf(s181,plain,
( spl12_173
| spl12_180
| spl12_187
| spl12_194 ),
inference(sat_conversion,[],[f1651]) ).
cnf(s183,plain,
( spl12_175
| spl12_182
| spl12_189
| spl12_196 ),
inference(sat_conversion,[],[f1653]) ).
cnf(s187,plain,
( spl12_202
| spl12_207
| spl12_212
| spl12_217 ),
inference(sat_conversion,[],[f1657]) ).
cnf(s189,plain,
( spl12_178
| spl12_185
| spl12_192
| spl12_199 ),
inference(sat_conversion,[],[f1659]) ).
cnf(s191,plain,
( spl12_221
| spl12_224
| spl12_227
| spl12_230 ),
inference(sat_conversion,[],[f1661]) ).
cnf(s192,plain,
( spl12_222
| spl12_225
| spl12_228
| spl12_231 ),
inference(sat_conversion,[],[f1662]) ).
cnf(s193,plain,
( spl12_179
| spl12_186
| spl12_193
| spl12_200 ),
inference(sat_conversion,[],[f1663]) ).
cnf(s195,plain,
( spl12_223
| spl12_226
| spl12_229
| spl12_232 ),
inference(sat_conversion,[],[f1665]) ).
cnf(s199,plain,
( spl12_244
| spl12_245
| spl12_246
| spl12_247 ),
inference(sat_conversion,[],[f1713]) ).
cnf(s200,plain,
( spl12_244
| spl12_248
| spl12_249
| spl12_250 ),
inference(sat_conversion,[],[f1726]) ).
cnf(s201,plain,
( spl12_251
| spl12_252
| spl12_253
| spl12_254 ),
inference(sat_conversion,[],[f1743]) ).
cnf(s205,plain,
( spl12_241
| spl12_265
| spl12_266
| spl12_267 ),
inference(sat_conversion,[],[f1799]) ).
cnf(s207,plain,
( spl12_248
| spl12_270
| spl12_271
| spl12_272 ),
inference(sat_conversion,[],[f1821]) ).
cnf(s217,plain,
( spl12_256
| spl12_278
| spl12_291
| spl12_292 ),
inference(sat_conversion,[],[f1911]) ).
cnf(s218,plain,
( spl12_253
| spl12_276
| spl12_291
| spl12_293 ),
inference(sat_conversion,[],[f1916]) ).
cnf(s220,plain,
( spl12_260
| spl12_281
| spl12_294
| spl12_296 ),
inference(sat_conversion,[],[f1930]) ).
cnf(s221,plain,
( spl12_243
| spl12_269
| spl12_287
| spl12_297 ),
inference(sat_conversion,[],[f1935]) ).
cnf(s228,plain,
( spl12_261
| spl12_282
| spl12_295
| spl12_300 ),
inference(sat_conversion,[],[f1954]) ).
cnf(s229,plain,
( spl12_237
| spl12_244
| spl12_251
| spl12_258 ),
inference(sat_conversion,[],[f1955]) ).
cnf(s230,plain,
( spl12_238
| spl12_245
| spl12_252
| spl12_259 ),
inference(sat_conversion,[],[f1956]) ).
cnf(s232,plain,
( spl12_240
| spl12_247
| spl12_254
| spl12_261 ),
inference(sat_conversion,[],[f1958]) ).
cnf(s236,plain,
( spl12_267
| spl12_272
| spl12_277
| spl12_282 ),
inference(sat_conversion,[],[f1962]) ).
cnf(s237,plain,
( spl12_242
| spl12_249
| spl12_256
| spl12_263 ),
inference(sat_conversion,[],[f1963]) ).
cnf(s241,plain,
( spl12_243
| spl12_250
| spl12_257
| spl12_264 ),
inference(sat_conversion,[],[f1967]) ).
cnf(s242,plain,
( spl12_269
| spl12_274
| spl12_279
| spl12_284 ),
inference(sat_conversion,[],[f1968]) ).
cnf(s245,plain,
spl12_275,
inference(sat_conversion,[],[f1976]) ).
cnf(s246,plain,
spl12_211,
inference(sat_conversion,[],[f1977]) ).
cnf(s250,plain,
( ~ spl12_182
| ~ spl12_189 ),
inference(sat_conversion,[],[f1990]) ).
cnf(s254,plain,
( ~ spl12_4
| spl12_9
| ~ spl12_173
| ~ spl12_180 ),
inference(sat_conversion,[],[f2004]) ).
cnf(s257,plain,
( ~ spl12_24
| ~ spl12_108
| ~ spl12_190
| spl12_228 ),
inference(sat_conversion,[],[f2025]) ).
cnf(s258,plain,
( ~ spl12_24
| ~ spl12_108
| ~ spl12_189
| spl12_227 ),
inference(sat_conversion,[],[f2026]) ).
cnf(s260,plain,
( ~ spl12_24
| ~ spl12_108
| ~ spl12_186
| spl12_226 ),
inference(sat_conversion,[],[f2028]) ).
cnf(s261,plain,
( ~ spl12_24
| ~ spl12_108
| ~ spl12_185
| spl12_224 ),
inference(sat_conversion,[],[f2029]) ).
cnf(s263,plain,
( ~ spl12_24
| ~ spl12_108
| ~ spl12_180
| spl12_224 ),
inference(sat_conversion,[],[f2031]) ).
cnf(s265,plain,
( ~ spl12_4
| ~ spl12_9
| spl12_14
| ~ spl12_19 ),
inference(sat_conversion,[],[f2040]) ).
cnf(s273,plain,
( spl12_24
| ~ spl12_108
| ~ spl12_175
| ~ spl12_189 ),
inference(sat_conversion,[],[f2068]) ).
cnf(s274,plain,
( spl12_24
| ~ spl12_108
| ~ spl12_176
| ~ spl12_190 ),
inference(sat_conversion,[],[f2072]) ).
cnf(s284,plain,
( spl12_39
| ~ spl12_134
| ~ spl12_181
| ~ spl12_195 ),
inference(sat_conversion,[],[f2117]) ).
cnf(s285,plain,
( ~ spl12_39
| ~ spl12_134
| spl12_191
| ~ spl12_193 ),
inference(sat_conversion,[],[f2133]) ).
cnf(s292,plain,
( ~ spl12_39
| ~ spl12_134
| ~ spl12_181
| spl12_197 ),
inference(sat_conversion,[],[f2154]) ).
cnf(s298,plain,
( ~ spl12_189
| ~ spl12_196 ),
inference(sat_conversion,[],[f2169]) ).
cnf(s302,plain,
( ~ spl12_191
| ~ spl12_198 ),
inference(sat_conversion,[],[f2194]) ).
cnf(s305,plain,
( spl12_39
| ~ spl12_134
| ~ spl12_184
| ~ spl12_198 ),
inference(sat_conversion,[],[f2209]) ).
cnf(s313,plain,
( spl12_14
| ~ spl12_19
| ~ spl12_202
| ~ spl12_207 ),
inference(sat_conversion,[],[f2243]) ).
cnf(s327,plain,
( ~ spl12_14
| ~ spl12_19
| spl12_188
| ~ spl12_211 ),
inference(sat_conversion,[],[f2289]) ).
cnf(s341,plain,
( spl12_14
| ~ spl12_19
| ~ spl12_204
| ~ spl12_209 ),
inference(sat_conversion,[],[f2320]) ).
cnf(s345,plain,
( ~ spl12_206
| ~ spl12_211 ),
inference(sat_conversion,[],[f2334]) ).
cnf(s349,plain,
( spl12_24
| ~ spl12_108
| ~ spl12_203
| ~ spl12_213 ),
inference(sat_conversion,[],[f2350]) ).
cnf(s350,plain,
( spl12_24
| ~ spl12_108
| ~ spl12_201
| ~ spl12_211 ),
inference(sat_conversion,[],[f2354]) ).
cnf(s354,plain,
( ~ spl12_208
| ~ spl12_213 ),
inference(sat_conversion,[],[f2379]) ).
cnf(s360,plain,
( ~ spl12_211
| ~ spl12_216 ),
inference(sat_conversion,[],[f2410]) ).
cnf(s365,plain,
( ~ spl12_177
| ~ spl12_198 ),
inference(sat_conversion,[],[f2436]) ).
cnf(s385,plain,
( ~ spl12_246
| ~ spl12_253 ),
inference(sat_conversion,[],[f2520]) ).
cnf(s389,plain,
( ~ spl12_237
| ~ spl12_244 ),
inference(sat_conversion,[],[f2534]) ).
cnf(s406,plain,
( ~ spl12_241
| ~ spl12_262 ),
inference(sat_conversion,[],[f2610]) ).
cnf(s410,plain,
( ~ spl12_244
| ~ spl12_251 ),
inference(sat_conversion,[],[f2626]) ).
cnf(s416,plain,
( ~ spl12_267
| ~ spl12_272 ),
inference(sat_conversion,[],[f2654]) ).
cnf(s422,plain,
( ~ spl12_265
| ~ spl12_275 ),
inference(sat_conversion,[],[f2678]) ).
cnf(s424,plain,
( ~ spl12_266
| ~ spl12_281 ),
inference(sat_conversion,[],[f2686]) ).
cnf(s431,plain,
( ~ spl12_291
| ~ spl12_294 ),
inference(sat_conversion,[],[f2711]) ).
cnf(s445,plain,
( ~ spl12_270
| ~ spl12_275 ),
inference(sat_conversion,[],[f2775]) ).
cnf(s469,plain,
( ~ spl12_297
| ~ spl12_298 ),
inference(sat_conversion,[],[f2901]) ).
cnf(s475,plain,
( spl12_83
| ~ spl12_211 ),
inference(sat_conversion,[],[f2924]) ).
cnf(s487,plain,
( spl12_268
| ~ spl12_275 ),
inference(sat_conversion,[],[f3070]) ).
cnf(s489,plain,
( ~ spl12_238
| ~ spl12_268 ),
inference(sat_conversion,[],[f3077]) ).
cnf(s491,plain,
( ~ spl12_259
| ~ spl12_260 ),
inference(sat_conversion,[],[f3085]) ).
cnf(s498,plain,
( ~ spl12_293
| ~ spl12_296 ),
inference(sat_conversion,[],[f3100]) ).
cnf(s499,plain,
( ~ spl12_275
| ~ spl12_278 ),
inference(sat_conversion,[],[f3109]) ).
cnf(s501,plain,
( ~ spl12_275
| ~ spl12_277 ),
inference(sat_conversion,[],[f3113]) ).
cnf(s504,plain,
( ~ spl12_275
| ~ spl12_276 ),
inference(sat_conversion,[],[f3116]) ).
cnf(s512,plain,
( ~ spl12_252
| ~ spl12_275 ),
inference(sat_conversion,[],[f3121]) ).
cnf(s514,plain,
( ~ spl12_274
| ~ spl12_298 ),
inference(sat_conversion,[],[f3123]) ).
cnf(s517,plain,
( ~ spl12_248
| ~ spl12_262 ),
inference(sat_conversion,[],[f3148]) ).
cnf(s518,plain,
( ~ spl12_249
| ~ spl12_288 ),
inference(sat_conversion,[],[f3150]) ).
cnf(s519,plain,
( ~ spl12_262
| ~ spl12_263 ),
inference(sat_conversion,[],[f3157]) ).
cnf(s520,plain,
( ~ spl12_262
| ~ spl12_282 ),
inference(sat_conversion,[],[f3158]) ).
cnf(s524,plain,
( ~ spl12_267
| ~ spl12_297 ),
inference(sat_conversion,[],[f3162]) ).
cnf(s525,plain,
( ~ spl12_262
| ~ spl12_264 ),
inference(sat_conversion,[],[f3164]) ).
cnf(s539,plain,
( ~ spl12_211
| ~ spl12_219 ),
inference(sat_conversion,[],[f3278]) ).
cnf(s540,plain,
( ~ spl12_220
| ~ spl12_232 ),
inference(sat_conversion,[],[f3281]) ).
cnf(s541,plain,
( ~ spl12_204
| ~ spl12_221 ),
inference(sat_conversion,[],[f3285]) ).
cnf(s542,plain,
( spl12_204
| ~ spl12_211 ),
inference(sat_conversion,[],[f3286]) ).
cnf(s544,plain,
( ~ spl12_228
| ~ spl12_231 ),
inference(sat_conversion,[],[f3293]) ).
cnf(s547,plain,
( ~ spl12_207
| ~ spl12_226 ),
inference(sat_conversion,[],[f3304]) ).
cnf(s548,plain,
( ~ spl12_189
| ~ spl12_229 ),
inference(sat_conversion,[],[f3305]) ).
cnf(s550,plain,
( ~ spl12_185
| ~ spl12_224 ),
inference(sat_conversion,[],[f3307]) ).
cnf(s551,plain,
( ~ spl12_207
| ~ spl12_224 ),
inference(sat_conversion,[],[f3308]) ).
cnf(s553,plain,
( spl12_5
| ~ spl12_173 ),
inference(sat_conversion,[],[f3331]) ).
cnf(s554,plain,
( ~ spl12_19
| spl12_74
| ~ spl12_83
| ~ spl12_211
| ~ spl12_268 ),
inference(sat_conversion,[],[f3338]) ).
cnf(s557,plain,
( spl12_15
| ~ spl12_204
| ~ spl12_211 ),
inference(sat_conversion,[],[f3350]) ).
cnf(s560,plain,
( spl12_25
| ~ spl12_223
| ~ spl12_230 ),
inference(sat_conversion,[],[f3358]) ).
cnf(s566,plain,
( ~ spl12_275
| ~ spl12_279 ),
inference(sat_conversion,[],[f3383]) ).
cnf(s567,plain,
( ~ spl12_272
| ~ spl12_298 ),
inference(sat_conversion,[],[f3384]) ).
cnf(s568,plain,
( spl12_262
| ~ spl12_268
| ~ spl12_275 ),
inference(sat_conversion,[],[f3386]) ).
cnf(s570,plain,
( ~ spl12_242
| ~ spl12_268 ),
inference(sat_conversion,[],[f3389]) ).
cnf(s576,plain,
( ~ spl12_268
| ~ spl12_285 ),
inference(sat_conversion,[],[f3403]) ).
cnf(s582,plain,
( ~ spl12_168
| spl12_244
| ~ spl12_266 ),
inference(sat_conversion,[],[f3477]) ).
cnf(s585,plain,
( ~ spl12_166
| spl12_237
| ~ spl12_240 ),
inference(sat_conversion,[],[f3491]) ).
cnf(s587,plain,
( ~ spl12_170
| ~ spl12_272
| ~ spl12_275 ),
inference(sat_conversion,[],[f3496]) ).
cnf(s593,plain,
( ~ spl12_258
| ~ spl12_262 ),
inference(sat_conversion,[],[f3509]) ).
cnf(s594,plain,
( ~ spl12_162
| spl12_251
| ~ spl12_268 ),
inference(sat_conversion,[],[f3511]) ).
cnf(s604,plain,
( ~ spl12_156
| ~ spl12_257
| spl12_294 ),
inference(sat_conversion,[],[f3583]) ).
cnf(s607,plain,
( ~ spl12_257
| ~ spl12_293 ),
inference(sat_conversion,[],[f3586]) ).
cnf(s609,plain,
( ~ spl12_256
| ~ spl12_291 ),
inference(sat_conversion,[],[f3593]) ).
cnf(s614,plain,
( ~ spl12_163
| ~ spl12_275
| spl12_288 ),
inference(sat_conversion,[],[f3601]) ).
cnf(s616,plain,
( ~ spl12_156
| ~ spl12_250
| ~ spl12_275 ),
inference(sat_conversion,[],[f3621]) ).
cnf(s620,plain,
( ~ spl12_268
| ~ spl12_269 ),
inference(sat_conversion,[],[f3646]) ).
cnf(s630,plain,
( ~ spl12_251
| ~ spl12_256 ),
inference(sat_conversion,[],[f3654]) ).
cnf(s638,plain,
( ~ spl12_294
| ~ spl12_295 ),
inference(sat_conversion,[],[f3658]) ).
cnf(s652,plain,
( ~ spl12_159
| ~ spl12_251
| spl12_285 ),
inference(sat_conversion,[],[f3804]) ).
cnf(s656,plain,
( ~ spl12_158
| ~ spl12_262
| spl12_298 ),
inference(sat_conversion,[],[f3821]) ).
cnf(s659,plain,
( ~ spl12_244
| ~ spl12_245 ),
inference(sat_conversion,[],[f3824]) ).
cnf(s662,plain,
( ~ spl12_254
| ~ spl12_299 ),
inference(sat_conversion,[],[f3829]) ).
cnf(s665,plain,
( ~ spl12_284
| ~ spl12_300 ),
inference(sat_conversion,[],[f3830]) ).
cnf(s672,plain,
( ~ spl12_247
| ~ spl12_298 ),
inference(sat_conversion,[],[f3834]) ).
cnf(s676,plain,
( ~ spl12_156
| ~ spl12_243
| spl12_258 ),
inference(sat_conversion,[],[f3858]) ).
cnf(s690,plain,
( ~ spl12_157
| ~ spl12_256
| spl12_291 ),
inference(sat_conversion,[],[f3927]) ).
cnf(s691,plain,
( ~ spl12_159
| ~ spl12_244
| ~ spl12_275 ),
inference(sat_conversion,[],[f3932]) ).
cnf(s692,plain,
( ~ spl12_166
| ~ spl12_254
| spl12_285 ),
inference(sat_conversion,[],[f3940]) ).
cnf(s693,plain,
( ~ spl12_167
| ~ spl12_294
| spl12_299 ),
inference(sat_conversion,[],[f3944]) ).
cnf(s696,plain,
( ~ spl12_244
| ~ spl12_247 ),
inference(sat_conversion,[],[f3950]) ).
cnf(s699,plain,
( ~ spl12_244
| ~ spl12_249 ),
inference(sat_conversion,[],[f3954]) ).
cnf(s708,plain,
( ~ spl12_170
| spl12_244
| ~ spl12_267 ),
inference(sat_conversion,[],[f3971]) ).
cnf(s733,plain,
( ~ spl12_166
| ~ spl12_261
| spl12_297 ),
inference(sat_conversion,[],[f4086]) ).
cnf(s734,plain,
( ~ spl12_168
| ~ spl12_271
| ~ spl12_275 ),
inference(sat_conversion,[],[f4091]) ).
cnf(s735,plain,
( ~ spl12_169
| ~ spl12_253
| spl12_285 ),
inference(sat_conversion,[],[f4096]) ).
cnf(s757,plain,
( spl12_88
| ~ spl12_198
| ~ spl12_204
| ~ spl12_211 ),
inference(sat_conversion,[],[f4277]) ).
cnf(s761,plain,
( ~ spl12_15
| ~ spl12_19
| spl12_69
| ~ spl12_88
| ~ spl12_198
| ~ spl12_262 ),
inference(sat_conversion,[],[f4311]) ).
cnf(s762,plain,
( ~ spl12_19
| spl12_70
| ~ spl12_83
| ~ spl12_211
| ~ spl12_275 ),
inference(sat_conversion,[],[f4320]) ).
cnf(s772,plain,
( ~ spl12_140
| ~ spl12_198
| spl12_234 ),
inference(sat_conversion,[],[f4417]) ).
cnf(s773,plain,
( ~ spl12_19
| spl12_80
| ~ spl12_88
| ~ spl12_234
| ~ spl12_298 ),
inference(sat_conversion,[],[f4418]) ).
cnf(s775,plain,
( spl12_39
| ~ spl12_134
| ~ spl12_210
| ~ spl12_220 ),
inference(sat_conversion,[],[f4423]) ).
cnf(s784,plain,
( ~ spl12_189
| ~ spl12_227 ),
inference(sat_conversion,[],[f4443]) ).
cnf(s788,plain,
( ~ spl12_194
| ~ spl12_198 ),
inference(sat_conversion,[],[f4452]) ).
cnf(s813,plain,
( ~ spl12_144
| spl12_187
| ~ spl12_204 ),
inference(sat_conversion,[],[f4491]) ).
cnf(s816,plain,
( ~ spl12_230
| ~ spl12_231 ),
inference(sat_conversion,[],[f4497]) ).
cnf(s817,plain,
( ~ spl12_204
| ~ spl12_222 ),
inference(sat_conversion,[],[f4498]) ).
cnf(s822,plain,
( ~ spl12_198
| ~ spl12_200 ),
inference(sat_conversion,[],[f4506]) ).
cnf(s845,plain,
( ~ spl12_225
| ~ spl12_234 ),
inference(sat_conversion,[],[f4535]) ).
cnf(s849,plain,
( spl12_198
| ~ spl12_204
| ~ spl12_211 ),
inference(sat_conversion,[],[f4544]) ).
cnf(s853,plain,
( spl12_39
| ~ spl12_134
| ~ spl12_224
| ~ spl12_230 ),
inference(sat_conversion,[],[f4562]) ).
cnf(s865,plain,
( ~ spl12_15
| spl12_77
| ~ spl12_83
| ~ spl12_88
| ~ spl12_193
| ~ spl12_257 ),
inference(sat_conversion,[],[f4613]) ).
cnf(s886,plain,
( ~ spl12_25
| spl12_223
| ~ spl12_230 ),
inference(sat_conversion,[],[f4692]) ).
cnf(s887,plain,
( ~ spl12_196
| ~ spl12_230 ),
inference(sat_conversion,[],[f4693]) ).
cnf(s895,plain,
( ~ spl12_15
| spl12_65
| ~ spl12_173
| ~ spl12_237 ),
inference(sat_conversion,[],[f4714]) ).
cnf(s920,plain,
( ~ spl12_15
| spl12_67
| ~ spl12_83
| ~ spl12_189
| ~ spl12_253 ),
inference(sat_conversion,[],[f4732]) ).
cnf(s943,plain,
( ~ spl12_5
| spl12_178
| ~ spl12_187 ),
inference(sat_conversion,[],[f4911]) ).
cnf(s975,plain,
( ~ spl12_152
| spl12_180
| ~ spl12_203 ),
inference(sat_conversion,[],[f5174]) ).
cnf(s976,plain,
( ~ spl12_153
| spl12_227
| ~ spl12_228 ),
inference(sat_conversion,[],[f5176]) ).
cnf(s979,plain,
( ~ spl12_151
| spl12_173
| ~ spl12_175 ),
inference(sat_conversion,[],[f5192]) ).
cnf(s980,plain,
( ~ spl12_150
| ~ spl12_207
| ~ spl12_211 ),
inference(sat_conversion,[],[f5195]) ).
cnf(s982,plain,
( ~ spl12_15
| spl12_68
| ~ spl12_88
| ~ spl12_197
| ~ spl12_261 ),
inference(sat_conversion,[],[f5199]) ).
cnf(s983,plain,
( ~ spl12_19
| spl12_71
| ~ spl12_83
| ~ spl12_207
| ~ spl12_271 ),
inference(sat_conversion,[],[f5204]) ).
cnf(s984,plain,
( ~ spl12_15
| ~ spl12_19
| spl12_73
| ~ spl12_83
| ~ spl12_185
| ~ spl12_249 ),
inference(sat_conversion,[],[f5209]) ).
cnf(s989,plain,
( ~ spl12_208
| ~ spl12_234 ),
inference(sat_conversion,[],[f5231]) ).
cnf(s1004,plain,
( ~ spl12_181
| ~ spl12_182 ),
inference(sat_conversion,[],[f5246]) ).
cnf(s1010,plain,
( ~ spl12_180
| ~ spl12_187 ),
inference(sat_conversion,[],[f5268]) ).
cnf(s1017,plain,
( ~ spl12_198
| ~ spl12_199 ),
inference(sat_conversion,[],[f5273]) ).
cnf(s1036,plain,
( ~ spl12_39
| ~ spl12_134
| ~ spl12_184
| spl12_200 ),
inference(sat_conversion,[],[f5296]) ).
cnf(s1043,plain,
( ~ spl12_15
| ~ spl12_19
| spl12_72
| ~ spl12_88
| ~ spl12_203
| ~ spl12_267 ),
inference(sat_conversion,[],[f5311]) ).
cnf(s1051,plain,
( ~ spl12_145
| ~ spl12_211
| spl12_224 ),
inference(sat_conversion,[],[f5329]) ).
cnf(s1060,plain,
( ~ spl12_230
| ~ spl12_232 ),
inference(sat_conversion,[],[f5342]) ).
cnf(s1064,plain,
( ~ spl12_178
| ~ spl12_204 ),
inference(sat_conversion,[],[f5354]) ).
cnf(s1074,plain,
( ~ spl12_179
| ~ spl12_233 ),
inference(sat_conversion,[],[f5388]) ).
cnf(s1076,plain,
( ~ spl12_174
| ~ spl12_204 ),
inference(sat_conversion,[],[f5389]) ).
cnf(s1125,plain,
( ~ spl12_15
| ~ spl12_19
| spl12_66
| ~ spl12_181
| ~ spl12_245 ),
inference(sat_conversion,[],[f5478]) ).
cnf(s1126,plain,
( spl12_76
| ~ spl12_83
| ~ spl12_88
| ~ spl12_228
| ~ spl12_292 ),
inference(sat_conversion,[],[f5482]) ).
cnf(s1129,plain,
( ~ spl12_149
| ~ spl12_230
| spl12_235 ),
inference(sat_conversion,[],[f5485]) ).
cnf(s1136,plain,
( ~ spl12_188
| ~ spl12_211 ),
inference(sat_conversion,[],[f5490]) ).
cnf(s1140,plain,
( ~ spl12_39
| ~ spl12_134
| spl12_177
| ~ spl12_179 ),
inference(sat_conversion,[],[f5492]) ).
cnf(s1174,plain,
( ~ spl12_173
| ~ spl12_179 ),
inference(sat_conversion,[],[f5577]) ).
cnf(s1177,plain,
( ~ spl12_180
| ~ spl12_181 ),
inference(sat_conversion,[],[f5579]) ).
cnf(s1188,plain,
( ~ spl12_211
| ~ spl12_212 ),
inference(sat_conversion,[],[f5584]) ).
cnf(s1409,plain,
( spl12_75
| ~ spl12_83
| ~ spl12_88
| ~ spl12_230
| ~ spl12_294 ),
inference(sat_conversion,[],[f5952]) ).
cnf(s1411,plain,
( ~ spl12_19
| spl12_78
| ~ spl12_88
| ~ spl12_220
| ~ spl12_284 ),
inference(sat_conversion,[],[f5962]) ).
cnf(s1414,plain,
( ~ spl12_138
| ~ spl12_193
| spl12_230 ),
inference(sat_conversion,[],[f5981]) ).
cnf(s1422,plain,
( ~ spl12_176
| ~ spl12_203 ),
inference(sat_conversion,[],[f5990]) ).
cnf(s1428,plain,
( ~ spl12_202
| ~ spl12_223 ),
inference(sat_conversion,[],[f5995]) ).
cnf(s1432,plain,
( ~ spl12_210
| ~ spl12_234 ),
inference(sat_conversion,[],[f5996]) ).
cnf(s1440,plain,
( ~ spl12_198
| ~ spl12_217 ),
inference(sat_conversion,[],[f5997]) ).
cnf(s1534,plain,
( ~ spl12_15
| spl12_79
| ~ spl12_83
| ~ spl12_88
| ~ spl12_223
| ~ spl12_287 ),
inference(sat_conversion,[],[f6150]) ).
cnf(s1630,plain,
( spl12_25
| ~ spl12_202
| ~ spl12_224 ),
inference(sat_conversion,[],[f6351]) ).
cnf(s1639,plain,
( ~ spl12_138
| ~ spl12_186
| ~ spl12_211 ),
inference(sat_conversion,[],[f6421]) ).
cnf(s1641,plain,
( ~ spl12_148
| ~ spl12_190
| spl12_221 ),
inference(sat_conversion,[],[f6435]) ).
cnf(s1674,plain,
( ~ spl12_150
| spl12_180
| ~ spl12_202 ),
inference(sat_conversion,[],[f6490]) ).
cnf(s1762,plain,
( ~ spl12_173
| ~ spl12_175 ),
inference(sat_conversion,[],[f6613]) ).
cnf(s1771,plain,
( ~ spl12_187
| ~ spl12_192 ),
inference(sat_conversion,[],[f6616]) ).
cnf(s1779,plain,
( ~ spl12_183
| ~ spl12_208 ),
inference(sat_conversion,[],[f6621]) ).
cnf(s1780,plain,
( ~ spl12_175
| ~ spl12_202 ),
inference(sat_conversion,[],[f6622]) ).
cnf(s1820,plain,
( ~ spl12_208
| ~ spl12_225 ),
inference(sat_conversion,[],[f6703]) ).
cnf(s1912,plain,
( ~ spl12_197
| ~ spl12_231 ),
inference(sat_conversion,[],[f6785]) ).
cnf(s1984,plain,
( ~ spl12_235
| ~ spl12_236 ),
inference(sat_conversion,[],[f7037]) ).
cnf(s1997,plain,
( ~ spl12_141
| ~ spl12_187
| spl12_221 ),
inference(sat_conversion,[],[f7180]) ).
cnf(s1998,plain,
( ~ spl12_147
| ~ spl12_232
| ~ spl12_235 ),
inference(sat_conversion,[],[f7188]) ).
cnf(s1999,plain,
( ~ spl12_148
| spl12_173
| ~ spl12_176 ),
inference(sat_conversion,[],[f7193]) ).
cnf(s2001,plain,
~ spl12_212,
inference(rat,[],[s1188,s246]) ).
cnf(s2002,plain,
~ spl12_188,
inference(rat,[],[s1136,s246]) ).
cnf(s2003,plain,
spl12_204,
inference(rat,[],[s542,s246]) ).
cnf(s2004,plain,
~ spl12_219,
inference(rat,[],[s539,s246]) ).
cnf(s2005,plain,
spl12_83,
inference(rat,[],[s475,s246]) ).
cnf(s2006,plain,
~ spl12_216,
inference(rat,[],[s360,s246]) ).
cnf(s2007,plain,
~ spl12_206,
inference(rat,[],[s345,s246]) ).
cnf(s2008,plain,
~ spl12_174,
inference(rat,[],[s1076,s2003]) ).
cnf(s2009,plain,
~ spl12_178,
inference(rat,[],[s1064,s2003]) ).
cnf(s2010,plain,
spl12_198,
inference(rat,[],[s849,s246,s2003]) ).
cnf(s2011,plain,
~ spl12_222,
inference(rat,[],[s817,s2003]) ).
cnf(s2012,plain,
spl12_15,
inference(rat,[],[s557,s246,s2003]) ).
cnf(s2013,plain,
~ spl12_221,
inference(rat,[],[s541,s2003]) ).
cnf(s2014,plain,
~ spl12_217,
inference(rat,[],[s1440,s2010]) ).
cnf(s2015,plain,
~ spl12_199,
inference(rat,[],[s1017,s2010]) ).
cnf(s2017,plain,
~ spl12_200,
inference(rat,[],[s822,s2010]) ).
cnf(s2018,plain,
~ spl12_194,
inference(rat,[],[s788,s2010]) ).
cnf(s2019,plain,
spl12_88,
inference(rat,[],[s757,s246,s2003,s2010]) ).
cnf(s2020,plain,
~ spl12_177,
inference(rat,[],[s365,s2010]) ).
cnf(s2021,plain,
~ spl12_191,
inference(rat,[],[s302,s2010]) ).
cnf(s2023,plain,
~ spl12_279,
inference(rat,[],[s566,s245]) ).
cnf(s2024,plain,
~ spl12_252,
inference(rat,[],[s512,s245]) ).
cnf(s2026,plain,
~ spl12_276,
inference(rat,[],[s504,s245]) ).
cnf(s2027,plain,
~ spl12_277,
inference(rat,[],[s501,s245]) ).
cnf(s2028,plain,
~ spl12_278,
inference(rat,[],[s499,s245]) ).
cnf(s2029,plain,
spl12_268,
inference(rat,[],[s487,s245]) ).
cnf(s2030,plain,
~ spl12_270,
inference(rat,[],[s445,s245]) ).
cnf(s2032,plain,
~ spl12_265,
inference(rat,[],[s422,s245]) ).
cnf(s2033,plain,
~ spl12_269,
inference(rat,[],[s620,s2029]) ).
cnf(s2034,plain,
~ spl12_285,
inference(rat,[],[s576,s2029]) ).
cnf(s2035,plain,
~ spl12_242,
inference(rat,[],[s570,s2029]) ).
cnf(s2036,plain,
spl12_262,
inference(rat,[],[s568,s245,s2029]) ).
cnf(s2037,plain,
~ spl12_238,
inference(rat,[],[s489,s2029]) ).
cnf(s2040,plain,
~ spl12_258,
inference(rat,[],[s593,s2036]) ).
cnf(s2041,plain,
~ spl12_264,
inference(rat,[],[s525,s2036]) ).
cnf(s2042,plain,
~ spl12_282,
inference(rat,[],[s520,s2036]) ).
cnf(s2043,plain,
~ spl12_263,
inference(rat,[],[s519,s2036]) ).
cnf(s2044,plain,
~ spl12_248,
inference(rat,[],[s517,s2036]) ).
cnf(s2045,plain,
~ spl12_241,
inference(rat,[],[s406,s2036]) ).
cnf(s2046,plain,
( spl12_274
| spl12_284 ),
inference(rat,[],[s242,s2023,s2033]) ).
cnf(s2047,plain,
( spl12_243
| spl12_250
| spl12_257 ),
inference(rat,[],[s241,s2041]) ).
cnf(s2049,plain,
( spl12_249
| spl12_256 ),
inference(rat,[],[s237,s2043,s2035]) ).
cnf(s2050,plain,
( spl12_267
| spl12_272 ),
inference(rat,[],[s236,s2042,s2027]) ).
cnf(s2052,plain,
( spl12_245
| spl12_259 ),
inference(rat,[],[s230,s2024,s2037]) ).
cnf(s2053,plain,
( spl12_237
| spl12_244
| spl12_251 ),
inference(rat,[],[s229,s2040]) ).
cnf(s2054,plain,
( spl12_261
| spl12_295
| spl12_300 ),
inference(rat,[],[s228,s2042]) ).
cnf(s2058,plain,
( spl12_243
| spl12_287
| spl12_297 ),
inference(rat,[],[s221,s2033]) ).
cnf(s2060,plain,
( spl12_253
| spl12_291
| spl12_293 ),
inference(rat,[],[s218,s2026]) ).
cnf(s2061,plain,
( spl12_256
| spl12_291
| spl12_292 ),
inference(rat,[],[s217,s2028]) ).
cnf(s2066,plain,
( spl12_271
| spl12_272 ),
inference(rat,[],[s207,s2030,s2044]) ).
cnf(s2067,plain,
( spl12_266
| spl12_267 ),
inference(rat,[],[s205,s2032,s2045]) ).
cnf(s2070,plain,
( spl12_251
| spl12_253
| spl12_254 ),
inference(rat,[],[s201,s2024]) ).
cnf(s2071,plain,
( spl12_244
| spl12_249
| spl12_250 ),
inference(rat,[],[s200,s2044]) ).
cnf(s2075,plain,
( spl12_179
| spl12_186
| spl12_193 ),
inference(rat,[],[s193,s2017]) ).
cnf(s2076,plain,
( spl12_225
| spl12_228
| spl12_231 ),
inference(rat,[],[s192,s2011]) ).
cnf(s2077,plain,
( spl12_224
| spl12_227
| spl12_230 ),
inference(rat,[],[s191,s2013]) ).
cnf(s2078,plain,
( spl12_185
| spl12_192 ),
inference(rat,[],[s189,s2015,s2009]) ).
cnf(s2080,plain,
( spl12_202
| spl12_207 ),
inference(rat,[],[s187,s2014,s2001]) ).
cnf(s2082,plain,
( spl12_173
| spl12_180
| spl12_187 ),
inference(rat,[],[s181,s2018]) ).
cnf(s2084,plain,
( spl12_220
| spl12_232
| spl12_236 ),
inference(rat,[],[s179,s2017]) ).
cnf(s2086,plain,
( spl12_176
| spl12_203
| spl12_233 ),
inference(rat,[],[s174,s2011]) ).
cnf(s2087,plain,
( spl12_196
| spl12_230
| spl12_232 ),
inference(rat,[],[s172,s2014]) ).
cnf(s2088,plain,
( spl12_230
| spl12_231 ),
inference(rat,[],[s171,s2004,s2015]) ).
cnf(s2090,plain,
( spl12_175
| spl12_202
| spl12_223 ),
inference(rat,[],[s166,s2013]) ).
cnf(s2091,plain,
( spl12_195
| spl12_220 ),
inference(rat,[],[s164,s2004,s2006]) ).
cnf(s2092,plain,
( spl12_181
| spl12_209
| spl12_210 ),
inference(rat,[],[s160,s2007]) ).
cnf(s2093,plain,
( spl12_184
| spl12_207
| spl12_208 ),
inference(rat,[],[s159,s2007]) ).
cnf(s2094,plain,
( spl12_201
| spl12_202
| spl12_203 ),
inference(rat,[],[s157,s2020]) ).
cnf(s2095,plain,
( spl12_195
| spl12_196
| spl12_197 ),
inference(rat,[],[s155,s2018]) ).
cnf(s2097,plain,
( spl12_187
| spl12_189
| spl12_190 ),
inference(rat,[],[s153,s2002]) ).
cnf(s2098,plain,
( spl12_173
| spl12_179 ),
inference(rat,[],[s150,s2009,s2020]) ).
cnf(s2099,plain,
( spl12_173
| spl12_175
| spl12_176 ),
inference(rat,[],[s149,s2008]) ).
cnf(s2101,plain,
spl12_70,
inference(rat,[],[s762,s245,s246,s2005,s99]) ).
cnf(s2102,plain,
spl12_69,
inference(rat,[],[s761,s2036,s2010,s2019,s2012,s99]) ).
cnf(s2103,plain,
spl12_74,
inference(rat,[],[s554,s2029,s246,s2005,s99]) ).
cnf(s2104,plain,
~ spl12_14,
inference(rat,[],[s327,s246,s2002,s99]) ).
cnf(s2105,plain,
~ spl12_209,
inference(rat,[],[s341,s99,s2003,s2104]) ).
cnf(s2106,plain,
~ spl12_9,
inference(rat,[],[s265,s99,s100,s2104]) ).
cnf(s2117,plain,
( ~ spl12_11
| spl12_16
| ~ spl12_65
| ~ spl12_66
| ~ spl12_67
| ~ spl12_68
| ~ spl12_71
| ~ spl12_72
| ~ spl12_73
| ~ spl12_75
| ~ spl12_76
| ~ spl12_77
| ~ spl12_78
| ~ spl12_79
| ~ spl12_80 ),
inference(rat,[],[s62,s2019,s2005,s2103,s2101,s2102]) ).
cnf(s2147,plain,
~ spl12_16,
inference(rat,[],[s15,s99]) ).
cnf(s2148,plain,
spl12_11,
inference(rat,[],[s12,s2012]) ).
cnf(s2150,plain,
( spl12_227
| spl12_220
| spl12_137
| spl12_224
| spl12_24
| spl12_173 ),
inference(rat,[],[s349,s178,s2086,s1641,s1999,s976,s110,s118,s1129,s1984,s2084,s1060,s2077,s1074,s2098,s107,s1051,s98,s2013,s246]) ).
cnf(s2151,plain,
( ~ spl12_190
| spl12_137
| ~ spl12_142
| spl12_24
| spl12_173 ),
inference(rat,[],[s979,s2099,s112,s274,s1641,s98,s2013]) ).
cnf(s2152,plain,
( spl12_176
| spl12_137
| ~ spl12_142
| spl12_24
| spl12_173 ),
inference(rat,[],[s975,s1010,s116,s2097,s979,s273,s2099,s2086,s1074,s2098,s2151,s98]) ).
cnf(s2153,plain,
( spl12_137
| spl12_224
| spl12_24
| spl12_173 ),
inference(rat,[],[s2150,s784,s775,s2097,s2092,s1010,s1177,s1674,s111,s2094,s1999,s1422,s2152,s2151,s1140,s2098,s350,s107,s1051,s97,s2105,s246,s98,s2020]) ).
cnf(s2154,plain,
( ~ spl12_137
| spl12_173 ),
inference(rat,[],[s2092,s1177,s1432,s2082,s772,s1997,s103,s104,s2105,s2010,s2013]) ).
cnf(s2156,plain,
( spl12_24
| spl12_173 ),
inference(rat,[],[s2087,s1998,s298,s109,s178,s2097,s106,s1999,s274,s813,s2099,s544,s1771,s354,s1780,s2088,s2078,s2093,s2080,s853,s550,s551,s2153,s305,s1140,s2098,s2154,s98,s2003,s97,s2010,s2020]) ).
cnf(s2157,plain,
( spl12_224
| spl12_173 ),
inference(rat,[],[s1771,s2082,s2078,s263,s261,s2156,s98]) ).
cnf(s2158,plain,
spl12_173,
inference(rat,[],[s258,s784,s2097,s257,s544,s1771,s2088,s2078,s853,s550,s2157,s2156,s1140,s2098,s98,s97,s2020]) ).
cnf(s2159,plain,
~ spl12_175,
inference(rat,[],[s1762,s2158]) ).
cnf(s2160,plain,
~ spl12_179,
inference(rat,[],[s1174,s2158]) ).
cnf(s2162,plain,
spl12_5,
inference(rat,[],[s553,s2158]) ).
cnf(s2164,plain,
~ spl12_180,
inference(rat,[],[s254,s2106,s100,s2158]) ).
cnf(s2165,plain,
~ spl12_187,
inference(rat,[],[s943,s2009,s2162]) ).
cnf(s2168,plain,
~ spl12_144,
inference(rat,[],[s813,s2003,s2165]) ).
cnf(s2171,plain,
spl12_142,
inference(rat,[],[s106,s2168]) ).
cnf(s2172,plain,
~ spl12_184,
inference(rat,[],[s305,s1036,s97,s2010,s2017]) ).
cnf(s2173,plain,
( ~ spl12_189
| spl12_25
| spl12_137
| spl12_224 ),
inference(rat,[],[s2076,s976,s1820,s119,s2093,s1674,s547,s2090,s195,s560,s816,s1060,s2077,s548,s784,s2171,s2172,s2164,s2159]) ).
cnf(s2174,plain,
~ spl12_150,
inference(rat,[],[s2080,s980,s1674,s246,s2164]) ).
cnf(s2175,plain,
( spl12_137
| spl12_224
| spl12_201 ),
inference(rat,[],[s886,s2077,s2173,s784,s1428,s2097,s2094,s1641,s975,s111,s115,s2165,s2013,s2164,s2171,s2174]) ).
cnf(s2176,plain,
( ~ spl12_256
| ~ spl12_272
| spl12_253
| spl12_260
| ~ spl12_155 ),
inference(rat,[],[s693,s220,s138,s498,s662,s130,s2060,s2070,s594,s609,s630,s587,s424,s2067,s416,s2029,s245]) ).
cnf(s2177,plain,
( ~ spl12_272
| spl12_253
| spl12_260
| ~ spl12_155 ),
inference(rat,[],[s131,s139,s614,s582,s518,s699,s2049,s2176,s2067,s416,s587,s245]) ).
cnf(s2178,plain,
( spl12_160
| spl12_168
| ~ spl12_267
| spl12_253
| ~ spl12_155 ),
inference(rat,[],[s2070,s410,s692,s708,s135,s139,s2034]) ).
cnf(s2179,plain,
~ spl12_160,
inference(rat,[],[s2049,s630,s518,s594,s614,s130,s131,s2029,s245]) ).
cnf(s2180,plain,
( ~ spl12_168
| ~ spl12_155
| spl12_253 ),
inference(rat,[],[s659,s2052,s582,s491,s2067,s2177,s416,s2066,s734,s245]) ).
cnf(s2181,plain,
( spl12_168
| ~ spl12_155
| spl12_253 ),
inference(rat,[],[s587,s2050,s139,s2178,s2179,s245]) ).
cnf(s2182,plain,
( ~ spl12_155
| spl12_253 ),
inference(rat,[],[s2181,s2180]) ).
cnf(s2183,plain,
spl12_253,
inference(rat,[],[s431,s2060,s604,s607,s2047,s616,s676,s125,s2182,s245,s2040]) ).
cnf(s2184,plain,
~ spl12_169,
inference(rat,[],[s735,s2034,s2183]) ).
cnf(s2186,plain,
~ spl12_246,
inference(rat,[],[s385,s2183]) ).
cnf(s2188,plain,
~ spl12_155,
inference(rat,[],[s585,s232,s389,s696,s733,s708,s524,s2050,s692,s587,s136,s140,s2034,s245,s2184,s2179]) ).
cnf(s2189,plain,
spl12_159,
inference(rat,[],[s128,s2188]) ).
cnf(s2190,plain,
spl12_158,
inference(rat,[],[s127,s2188]) ).
cnf(s2191,plain,
spl12_157,
inference(rat,[],[s126,s2188]) ).
cnf(s2192,plain,
spl12_156,
inference(rat,[],[s125,s2188]) ).
cnf(s2193,plain,
~ spl12_244,
inference(rat,[],[s691,s245,s2189]) ).
cnf(s2194,plain,
~ spl12_251,
inference(rat,[],[s652,s2034,s2189]) ).
cnf(s2195,plain,
spl12_298,
inference(rat,[],[s656,s2036,s2190]) ).
cnf(s2196,plain,
~ spl12_243,
inference(rat,[],[s676,s2040,s2192]) ).
cnf(s2197,plain,
~ spl12_250,
inference(rat,[],[s616,s245,s2192]) ).
cnf(s2198,plain,
spl12_249,
inference(rat,[],[s2071,s2197,s2193]) ).
cnf(s2200,plain,
spl12_237,
inference(rat,[],[s2053,s2193,s2194]) ).
cnf(s2202,plain,
~ spl12_247,
inference(rat,[],[s672,s2195]) ).
cnf(s2203,plain,
~ spl12_272,
inference(rat,[],[s567,s2195]) ).
cnf(s2204,plain,
~ spl12_274,
inference(rat,[],[s514,s2195]) ).
cnf(s2205,plain,
~ spl12_297,
inference(rat,[],[s469,s2195]) ).
cnf(s2208,plain,
spl12_257,
inference(rat,[],[s2047,s2197,s2196]) ).
cnf(s2209,plain,
spl12_287,
inference(rat,[],[s2058,s2205,s2196]) ).
cnf(s2212,plain,
spl12_65,
inference(rat,[],[s895,s2158,s2012,s2200]) ).
cnf(s2214,plain,
spl12_245,
inference(rat,[],[s199,s2193,s2186,s2202]) ).
cnf(s2215,plain,
spl12_267,
inference(rat,[],[s2050,s2203]) ).
cnf(s2216,plain,
spl12_271,
inference(rat,[],[s2066,s2203]) ).
cnf(s2217,plain,
spl12_284,
inference(rat,[],[s2046,s2204]) ).
cnf(s2220,plain,
spl12_294,
inference(rat,[],[s604,s2192,s2208]) ).
cnf(s2235,plain,
~ spl12_300,
inference(rat,[],[s665,s2217]) ).
cnf(s2239,plain,
~ spl12_295,
inference(rat,[],[s638,s2220]) ).
cnf(s2240,plain,
~ spl12_291,
inference(rat,[],[s431,s2220]) ).
cnf(s2243,plain,
spl12_261,
inference(rat,[],[s2054,s2235,s2239]) ).
cnf(s2244,plain,
~ spl12_256,
inference(rat,[],[s690,s2191,s2240]) ).
cnf(s2249,plain,
spl12_292,
inference(rat,[],[s2061,s2240,s2244]) ).
cnf(s2252,plain,
( ~ spl12_137
| spl12_201 ),
inference(rat,[],[s1126,s2117,s982,s1409,s1411,s983,s1043,s1125,s1534,s865,s984,s773,s920,s2076,s183,s2094,s2090,s2095,s2091,s816,s887,s313,s284,s1004,s285,s1414,s2093,s2092,s152,s2075,s845,s989,s1432,s1639,s772,s101,s103,s2005,s2019,s2249,s2147,s2148,s2212,s2243,s2012,s2220,s2217,s99,s2216,s2215,s2214,s2209,s2208,s2198,s2195,s2183,s2159,s2104,s97,s2021,s2172,s2105,s2164,s2160,s246,s2010]) ).
cnf(s2255,plain,
spl12_201,
inference(rat,[],[s284,s292,s2091,s1912,s540,s2088,s151,s2087,s886,s1779,s250,s298,s1428,s1630,s2093,s2097,s2094,s551,s1641,s975,s2175,s111,s115,s2252,s97,s2164,s2172,s2165,s2013,s2171,s2174]) ).
cnf(s2256,plain,
spl12_24,
inference(rat,[],[s350,s246,s98,s2255]) ).
cnf(s2258,plain,
( spl12_185
| spl12_224 ),
inference(rat,[],[s547,s2093,s260,s1820,s152,s167,s2105,s2164,s2256,s98,s2172]) ).
cnf(s2259,plain,
spl12_224,
inference(rat,[],[s2258,s261,s98,s2256]) ).
cnf(s2262,plain,
~ spl12_185,
inference(rat,[],[s550,s2259]) ).
cnf(s2269,plain,
spl12_186,
inference(rat,[],[s152,s2172,s2164,s2262]) ).
cnf(s2279,plain,
~ spl12_138,
inference(rat,[],[s1639,s246,s2269]) ).
cnf(s2289,plain,
~ spl12_137,
inference(rat,[],[s101,s2279]) ).
cnf(s2297,plain,
spl12_148,
inference(rat,[],[s111,s2174,s2171,s2289]) ).
cnf(s2301,plain,
~ spl12_190,
inference(rat,[],[s1641,s2013,s2297]) ).
cnf(s2308,plain,
spl12_189,
inference(rat,[],[s2097,s2165,s2301]) ).
cnf(s2311,plain,
~ spl12_227,
inference(rat,[],[s784,s2308]) ).
cnf(s2314,plain,
$false,
inference(rat,[],[s258,s2256,s98,s2311,s2308]) ).
fof(f7194,plain,
$false,
inference(avatar_sat_refutation,[],[s2314]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : ALG112+1 : TPTP v9.3.1. Released v2.7.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.18 % Computer : n014.cluster.edu
% 0.07/0.18 % Model : x86_64 x86_64
% 0.07/0.18 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.18 % Memory : 8046.5625MB
% 0.07/0.18 % OS : Linux 6.8.0-71-generic
% 0.07/0.18 % CPULimit : 300
% 0.07/0.18 % WCLimit : 300
% 0.07/0.18 % DateTime : Mon Sep 28 19:29:31 UTC 2026
% 0.07/0.18 % CPUTime :
% 0.07/0.18 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22 Running first-order model finding
% 0.07/0.22 Running: /export/starexec/sandbox/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.82/0.44 % (2092313)Will run a generic schedule for satisfiability detection.
% 0.82/0.44 % (2092321)dis+10_1_sil=32000:sp=arity:random_seed=4026729119:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.82/0.44 % (2092319)% WARNING: option uhcvi not known.
% 0.82/0.44 % (2092319)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=1732870958:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.82/0.44 % (2092318)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1333743991_2999 on theBenchmark for (2999ds/0Mi)
% 0.82/0.44 % (2092320)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=3775659315:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.82/0.44 % (2092322)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=908602303:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.82/0.44 % (2092323)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=3080493677:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.82/0.44 % (2092324)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=315134736:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.82/0.44 % (2092321)Instruction limit reached!
% 0.82/0.44 % (2092321)------------------------------
% 0.82/0.44 % (2092321)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.44 % (2092321)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.44 % (2092321)CaDiCaL version: 2.1.3
% 0.82/0.44 % (2092321)Termination reason: Instruction limit
% 0.82/0.44 % (2092321)Termination phase: Saturation
% 0.82/0.44 % (2092321)Time elapsed: 0.030 s
% 0.82/0.44 % (2092321)Peak memory usage: 12 MB
% 0.82/0.44 % (2092321)Instructions burned: 107 (million)
% 0.82/0.44 % Detected minimum model sizes of [8]
% 0.82/0.44 % Detected maximum model sizes of [max]
% 0.82/0.44 % TRYING [8]
% 0.82/0.44 % (2092332)fmb+10_1_fmbas=predicate:sil=64000:sas=cadical:random_seed=1518324668:i=714:nm=2_2999 on theBenchmark for (2999ds/714Mi)
% 0.82/0.44 % (2092322)Instruction limit reached!
% 0.82/0.44 % (2092322)------------------------------
% 0.82/0.44 % (2092322)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.44 % (2092322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.44 % (2092322)CaDiCaL version: 2.1.3
% 0.82/0.44 % (2092322)Termination reason: Instruction limit
% 0.82/0.44 % (2092322)Termination phase: Saturation
% 0.82/0.44 % (2092322)Time elapsed: 0.057 s
% 0.82/0.44 % (2092322)Peak memory usage: 13 MB
% 0.82/0.44 % (2092322)Instructions burned: 116 (million)
% 0.82/0.44 % Detected minimum model sizes of [8]
% 0.82/0.44 % Detected maximum model sizes of [max]
% 0.82/0.44 % TRYING [8]
% 0.82/0.44 % (2092323)Instruction limit reached!
% 0.82/0.44 % (2092323)------------------------------
% 0.82/0.44 % (2092323)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.44 % (2092323)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.44 % (2092323)CaDiCaL version: 2.1.3
% 0.82/0.44 % (2092323)Termination reason: Instruction limit
% 0.82/0.44 % (2092323)Termination phase: Saturation
% 0.82/0.44 % (2092323)Time elapsed: 0.065 s
% 0.82/0.44 % (2092323)Peak memory usage: 13 MB
% 0.82/0.44 % (2092323)Instructions burned: 132 (million)
% 0.82/0.44 % (2092334)ott+32_1_sil=16000:bsd=on:sp=const_max:bce=on:random_seed=408157269:i=131:bd=preordered:fsd=on_2998 on theBenchmark for (2998ds/131Mi)
% 0.82/0.44 % (2092335)dis+11_32_anc=none:slsqr=2,1:sil=64000:sas=cadical:lma=off:lsd=50:s2agt=8:slsqc=1:kmz=on:newcnf=on:slsq=on:random_seed=1217929905:i=684:slsql=off:bs=unit_only:nicw=on:rawr=on_2998 on theBenchmark for (2998ds/684Mi)
% 0.82/0.44 % (2092324)Instruction limit reached!
% 0.82/0.44 % (2092324)------------------------------
% 0.82/0.44 % (2092324)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.44 % (2092324)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.44 % (2092324)CaDiCaL version: 2.1.3
% 0.82/0.44 % (2092324)Termination reason: Instruction limit
% 0.82/0.44 % (2092324)Termination phase: Saturation
% 0.82/0.44 % (2092324)Time elapsed: 0.085 s
% 0.82/0.44 % (2092324)Peak memory usage: 14 MB
% 0.82/0.44 % (2092324)Instructions burned: 159 (million)
% 0.82/0.44 % (2092338)ott-21_1_sil=16000:fs=off:random_seed=318815918:i=180:av=off:fsr=off_2998 on theBenchmark for (2998ds/180Mi)
% 0.82/0.44 % TRYING [9]
% 0.82/0.44 % (2092319) found proof, printing to "/export/starexec/sandbox/tmp/vampire-proof-2092313-2092319"...
% 0.82/0.44 % (2092334)Instruction limit reached!
% 0.82/0.44 % (2092334)------------------------------
% 0.82/0.44 % (2092334)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.44 % (2092334)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.44 % (2092334)CaDiCaL version: 2.1.3
% 0.82/0.44 % (2092334)Termination reason: Instruction limit
% 0.82/0.44 % (2092334)Termination phase: Saturation
% 0.82/0.44 % (2092334)Time elapsed: 0.068 s
% 0.82/0.44 % (2092334)Peak memory usage: 13 MB
% 0.82/0.44 % (2092334)Instructions burned: 132 (million)
% 0.82/0.44 % (2092319)...printing done.
% 0.82/0.44 % (2092319)Refutation found. Thanks to Tanya!
% 0.82/0.44 % SZS status Theorem for theBenchmark
% 0.82/0.44 % SZS output start Proof for theBenchmark
% See solution above
% 0.82/0.46 % (2092319)------------------------------
% 0.82/0.46 % (2092319)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.82/0.46 % (2092319)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.82/0.46 % (2092319)CaDiCaL version: 2.1.3
% 0.82/0.46 % (2092319)Termination reason: Refutation
% 0.82/0.46 % (2092319)Time elapsed: 0.160 s
% 0.82/0.46 % (2092319)Peak memory usage: 15 MB
% 0.82/0.46 % (2092319)Instructions burned: 315 (million)
% 0.82/0.46 % (2092313)Success in time 0.216 s
% 0.82/0.46 % Vampire exiting
%------------------------------------------------------------------------------