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CSE_E---1.7.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : CSE_E---1.7
% Problem  : PUZ069+1 : TPTP v9.2.1. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d

% Computer : n010.cluster.edu
% Model    : x86_64 x86_64
% CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory   : 8042.1875MB
% OS       : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit  : 300s
% DateTime : Tue May  5 05:03:07 PM UTC 2026

% Result   : Satisfiable 1.72s 1.86s
% Output   : Saturation 1.72s
% Verified : 
% SZS Type : Derivation
%            Derivation depth      :   52
%            Number of leaves      :  110
% Syntax   : Number of formulae    :  860 ( 563 unt;   0 def)
%            Number of atoms       : 3213 (3208 equ)
%            Maximal formula atoms :   36 (   3 avg)
%            Number of connectives : 3824 (1471   ~;1373   |; 980   &)
%                                         (   0 <=>;   0  =>;   0  <=;   0 <~>)
%            Maximal formula depth :   37 (   4 avg)
%            Maximal term depth    :    2 (   1 avg)
%            Number of predicates  :    2 (   1 usr;   0 prp; 2-81 aty)
%            Number of functors    :   10 (  10 usr;   9 con; 0-2 aty)
%            Number of variables   :    0 (   0 sgn   0   !;   0   ?)

% Comments : 
%------------------------------------------------------------------------------
fof(ax4,axiom,
    ( ssA(n1,n1) = n3
    | ssA(n1,n2) = n3
    | ssA(n1,n3) = n3
    | ssA(n1,n4) = n3
    | ssA(n1,n5) = n3
    | ssA(n1,n6) = n3
    | ssA(n1,n7) = n3
    | ssA(n1,n8) = n3
    | ssA(n1,n9) = n3 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax4) ).

fof(ax353,axiom,
    ssA(n1,n1) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax353) ).

fof(ax354,axiom,
    ssA(n1,n3) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax354) ).

fof(ax355,axiom,
    ssA(n1,n4) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax355) ).

fof(ax1,axiom,
    ( n1 != n2
    & n1 != n3
    & n1 != n4
    & n1 != n5
    & n1 != n6
    & n1 != n7
    & n1 != n8
    & n1 != n9
    & n2 != n3
    & n2 != n4
    & n2 != n5
    & n2 != n6
    & n2 != n7
    & n2 != n8
    & n2 != n9
    & n3 != n4
    & n3 != n5
    & n3 != n6
    & n3 != n7
    & n3 != n8
    & n3 != n9
    & n4 != n5
    & n4 != n6
    & n4 != n7
    & n4 != n8
    & n4 != n9
    & n5 != n6
    & n5 != n7
    & n5 != n8
    & n5 != n9
    & n6 != n7
    & n6 != n8
    & n6 != n9
    & n7 != n8
    & n7 != n9
    & n8 != n9 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax1) ).

fof(ax161,axiom,
    ( ssA(n1,n7) != ssA(n2,n7)
    & ssA(n1,n7) != ssA(n3,n7)
    & ssA(n1,n7) != ssA(n4,n7)
    & ssA(n1,n7) != ssA(n5,n7)
    & ssA(n1,n7) != ssA(n6,n7)
    & ssA(n1,n7) != ssA(n7,n7)
    & ssA(n1,n7) != ssA(n8,n7)
    & ssA(n1,n7) != ssA(n9,n7)
    & ssA(n2,n7) != ssA(n3,n7)
    & ssA(n2,n7) != ssA(n4,n7)
    & ssA(n2,n7) != ssA(n5,n7)
    & ssA(n2,n7) != ssA(n6,n7)
    & ssA(n2,n7) != ssA(n7,n7)
    & ssA(n2,n7) != ssA(n8,n7)
    & ssA(n2,n7) != ssA(n9,n7)
    & ssA(n3,n7) != ssA(n4,n7)
    & ssA(n3,n7) != ssA(n5,n7)
    & ssA(n3,n7) != ssA(n6,n7)
    & ssA(n3,n7) != ssA(n7,n7)
    & ssA(n3,n7) != ssA(n8,n7)
    & ssA(n3,n7) != ssA(n9,n7)
    & ssA(n4,n7) != ssA(n5,n7)
    & ssA(n4,n7) != ssA(n6,n7)
    & ssA(n4,n7) != ssA(n7,n7)
    & ssA(n4,n7) != ssA(n8,n7)
    & ssA(n4,n7) != ssA(n9,n7)
    & ssA(n5,n7) != ssA(n6,n7)
    & ssA(n5,n7) != ssA(n7,n7)
    & ssA(n5,n7) != ssA(n8,n7)
    & ssA(n5,n7) != ssA(n9,n7)
    & ssA(n6,n7) != ssA(n7,n7)
    & ssA(n6,n7) != ssA(n8,n7)
    & ssA(n6,n7) != ssA(n9,n7)
    & ssA(n7,n7) != ssA(n8,n7)
    & ssA(n7,n7) != ssA(n9,n7)
    & ssA(n8,n7) != ssA(n9,n7) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax161) ).

fof(ax359,axiom,
    ssA(n3,n7) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax359) ).

fof(ax211,axiom,
    ( ssA(n1,n7) != ssA(n1,n8)
    & ssA(n1,n7) != ssA(n1,n9)
    & ssA(n1,n7) != ssA(n2,n7)
    & ssA(n1,n7) != ssA(n2,n8)
    & ssA(n1,n7) != ssA(n2,n9)
    & ssA(n1,n7) != ssA(n3,n7)
    & ssA(n1,n7) != ssA(n3,n8)
    & ssA(n1,n7) != ssA(n3,n9)
    & ssA(n1,n8) != ssA(n1,n9)
    & ssA(n1,n8) != ssA(n2,n7)
    & ssA(n1,n8) != ssA(n2,n8)
    & ssA(n1,n8) != ssA(n2,n9)
    & ssA(n1,n8) != ssA(n3,n7)
    & ssA(n1,n8) != ssA(n3,n8)
    & ssA(n1,n8) != ssA(n3,n9)
    & ssA(n1,n9) != ssA(n2,n7)
    & ssA(n1,n9) != ssA(n2,n8)
    & ssA(n1,n9) != ssA(n2,n9)
    & ssA(n1,n9) != ssA(n3,n7)
    & ssA(n1,n9) != ssA(n3,n8)
    & ssA(n1,n9) != ssA(n3,n9)
    & ssA(n2,n7) != ssA(n2,n8)
    & ssA(n2,n7) != ssA(n2,n9)
    & ssA(n2,n7) != ssA(n3,n7)
    & ssA(n2,n7) != ssA(n3,n8)
    & ssA(n2,n7) != ssA(n3,n9)
    & ssA(n2,n8) != ssA(n2,n9)
    & ssA(n2,n8) != ssA(n3,n7)
    & ssA(n2,n8) != ssA(n3,n8)
    & ssA(n2,n8) != ssA(n3,n9)
    & ssA(n2,n9) != ssA(n3,n7)
    & ssA(n2,n9) != ssA(n3,n8)
    & ssA(n2,n9) != ssA(n3,n9)
    & ssA(n3,n7) != ssA(n3,n8)
    & ssA(n3,n7) != ssA(n3,n9)
    & ssA(n3,n8) != ssA(n3,n9) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax211) ).

fof(ax151,axiom,
    ( ssA(n1,n6) != ssA(n2,n6)
    & ssA(n1,n6) != ssA(n3,n6)
    & ssA(n1,n6) != ssA(n4,n6)
    & ssA(n1,n6) != ssA(n5,n6)
    & ssA(n1,n6) != ssA(n6,n6)
    & ssA(n1,n6) != ssA(n7,n6)
    & ssA(n1,n6) != ssA(n8,n6)
    & ssA(n1,n6) != ssA(n9,n6)
    & ssA(n2,n6) != ssA(n3,n6)
    & ssA(n2,n6) != ssA(n4,n6)
    & ssA(n2,n6) != ssA(n5,n6)
    & ssA(n2,n6) != ssA(n6,n6)
    & ssA(n2,n6) != ssA(n7,n6)
    & ssA(n2,n6) != ssA(n8,n6)
    & ssA(n2,n6) != ssA(n9,n6)
    & ssA(n3,n6) != ssA(n4,n6)
    & ssA(n3,n6) != ssA(n5,n6)
    & ssA(n3,n6) != ssA(n6,n6)
    & ssA(n3,n6) != ssA(n7,n6)
    & ssA(n3,n6) != ssA(n8,n6)
    & ssA(n3,n6) != ssA(n9,n6)
    & ssA(n4,n6) != ssA(n5,n6)
    & ssA(n4,n6) != ssA(n6,n6)
    & ssA(n4,n6) != ssA(n7,n6)
    & ssA(n4,n6) != ssA(n8,n6)
    & ssA(n4,n6) != ssA(n9,n6)
    & ssA(n5,n6) != ssA(n6,n6)
    & ssA(n5,n6) != ssA(n7,n6)
    & ssA(n5,n6) != ssA(n8,n6)
    & ssA(n5,n6) != ssA(n9,n6)
    & ssA(n6,n6) != ssA(n7,n6)
    & ssA(n6,n6) != ssA(n8,n6)
    & ssA(n6,n6) != ssA(n9,n6)
    & ssA(n7,n6) != ssA(n8,n6)
    & ssA(n7,n6) != ssA(n9,n6)
    & ssA(n8,n6) != ssA(n9,n6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax151) ).

fof(ax365,axiom,
    ssA(n6,n6) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax365) ).

fof(ax111,axiom,
    ( ssA(n1,n2) != ssA(n2,n2)
    & ssA(n1,n2) != ssA(n3,n2)
    & ssA(n1,n2) != ssA(n4,n2)
    & ssA(n1,n2) != ssA(n5,n2)
    & ssA(n1,n2) != ssA(n6,n2)
    & ssA(n1,n2) != ssA(n7,n2)
    & ssA(n1,n2) != ssA(n8,n2)
    & ssA(n1,n2) != ssA(n9,n2)
    & ssA(n2,n2) != ssA(n3,n2)
    & ssA(n2,n2) != ssA(n4,n2)
    & ssA(n2,n2) != ssA(n5,n2)
    & ssA(n2,n2) != ssA(n6,n2)
    & ssA(n2,n2) != ssA(n7,n2)
    & ssA(n2,n2) != ssA(n8,n2)
    & ssA(n2,n2) != ssA(n9,n2)
    & ssA(n3,n2) != ssA(n4,n2)
    & ssA(n3,n2) != ssA(n5,n2)
    & ssA(n3,n2) != ssA(n6,n2)
    & ssA(n3,n2) != ssA(n7,n2)
    & ssA(n3,n2) != ssA(n8,n2)
    & ssA(n3,n2) != ssA(n9,n2)
    & ssA(n4,n2) != ssA(n5,n2)
    & ssA(n4,n2) != ssA(n6,n2)
    & ssA(n4,n2) != ssA(n7,n2)
    & ssA(n4,n2) != ssA(n8,n2)
    & ssA(n4,n2) != ssA(n9,n2)
    & ssA(n5,n2) != ssA(n6,n2)
    & ssA(n5,n2) != ssA(n7,n2)
    & ssA(n5,n2) != ssA(n8,n2)
    & ssA(n5,n2) != ssA(n9,n2)
    & ssA(n6,n2) != ssA(n7,n2)
    & ssA(n6,n2) != ssA(n8,n2)
    & ssA(n6,n2) != ssA(n9,n2)
    & ssA(n7,n2) != ssA(n8,n2)
    & ssA(n7,n2) != ssA(n9,n2)
    & ssA(n8,n2) != ssA(n9,n2) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax111) ).

fof(ax368,axiom,
    ssA(n8,n2) = n3,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax368) ).

fof(ax31,axiom,
    ( ssA(n3,n1) != ssA(n3,n2)
    & ssA(n3,n1) != ssA(n3,n3)
    & ssA(n3,n1) != ssA(n3,n4)
    & ssA(n3,n1) != ssA(n3,n5)
    & ssA(n3,n1) != ssA(n3,n6)
    & ssA(n3,n1) != ssA(n3,n7)
    & ssA(n3,n1) != ssA(n3,n8)
    & ssA(n3,n1) != ssA(n3,n9)
    & ssA(n3,n2) != ssA(n3,n3)
    & ssA(n3,n2) != ssA(n3,n4)
    & ssA(n3,n2) != ssA(n3,n5)
    & ssA(n3,n2) != ssA(n3,n6)
    & ssA(n3,n2) != ssA(n3,n7)
    & ssA(n3,n2) != ssA(n3,n8)
    & ssA(n3,n2) != ssA(n3,n9)
    & ssA(n3,n3) != ssA(n3,n4)
    & ssA(n3,n3) != ssA(n3,n5)
    & ssA(n3,n3) != ssA(n3,n6)
    & ssA(n3,n3) != ssA(n3,n7)
    & ssA(n3,n3) != ssA(n3,n8)
    & ssA(n3,n3) != ssA(n3,n9)
    & ssA(n3,n4) != ssA(n3,n5)
    & ssA(n3,n4) != ssA(n3,n6)
    & ssA(n3,n4) != ssA(n3,n7)
    & ssA(n3,n4) != ssA(n3,n8)
    & ssA(n3,n4) != ssA(n3,n9)
    & ssA(n3,n5) != ssA(n3,n6)
    & ssA(n3,n5) != ssA(n3,n7)
    & ssA(n3,n5) != ssA(n3,n8)
    & ssA(n3,n5) != ssA(n3,n9)
    & ssA(n3,n6) != ssA(n3,n7)
    & ssA(n3,n6) != ssA(n3,n8)
    & ssA(n3,n6) != ssA(n3,n9)
    & ssA(n3,n7) != ssA(n3,n8)
    & ssA(n3,n7) != ssA(n3,n9)
    & ssA(n3,n8) != ssA(n3,n9) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax31) ).

fof(ax231,axiom,
    ( ssA(n4,n4) != ssA(n4,n5)
    & ssA(n4,n4) != ssA(n4,n6)
    & ssA(n4,n4) != ssA(n5,n4)
    & ssA(n4,n4) != ssA(n5,n5)
    & ssA(n4,n4) != ssA(n5,n6)
    & ssA(n4,n4) != ssA(n6,n4)
    & ssA(n4,n4) != ssA(n6,n5)
    & ssA(n4,n4) != ssA(n6,n6)
    & ssA(n4,n5) != ssA(n4,n6)
    & ssA(n4,n5) != ssA(n5,n4)
    & ssA(n4,n5) != ssA(n5,n5)
    & ssA(n4,n5) != ssA(n5,n6)
    & ssA(n4,n5) != ssA(n6,n4)
    & ssA(n4,n5) != ssA(n6,n5)
    & ssA(n4,n5) != ssA(n6,n6)
    & ssA(n4,n6) != ssA(n5,n4)
    & ssA(n4,n6) != ssA(n5,n5)
    & ssA(n4,n6) != ssA(n5,n6)
    & ssA(n4,n6) != ssA(n6,n4)
    & ssA(n4,n6) != ssA(n6,n5)
    & ssA(n4,n6) != ssA(n6,n6)
    & ssA(n5,n4) != ssA(n5,n5)
    & ssA(n5,n4) != ssA(n5,n6)
    & ssA(n5,n4) != ssA(n6,n4)
    & ssA(n5,n4) != ssA(n6,n5)
    & ssA(n5,n4) != ssA(n6,n6)
    & ssA(n5,n5) != ssA(n5,n6)
    & ssA(n5,n5) != ssA(n6,n4)
    & ssA(n5,n5) != ssA(n6,n5)
    & ssA(n5,n5) != ssA(n6,n6)
    & ssA(n5,n6) != ssA(n6,n4)
    & ssA(n5,n6) != ssA(n6,n5)
    & ssA(n5,n6) != ssA(n6,n6)
    & ssA(n6,n4) != ssA(n6,n5)
    & ssA(n6,n4) != ssA(n6,n6)
    & ssA(n6,n5) != ssA(n6,n6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax231) ).

fof(ax61,axiom,
    ( ssA(n6,n1) != ssA(n6,n2)
    & ssA(n6,n1) != ssA(n6,n3)
    & ssA(n6,n1) != ssA(n6,n4)
    & ssA(n6,n1) != ssA(n6,n5)
    & ssA(n6,n1) != ssA(n6,n6)
    & ssA(n6,n1) != ssA(n6,n7)
    & ssA(n6,n1) != ssA(n6,n8)
    & ssA(n6,n1) != ssA(n6,n9)
    & ssA(n6,n2) != ssA(n6,n3)
    & ssA(n6,n2) != ssA(n6,n4)
    & ssA(n6,n2) != ssA(n6,n5)
    & ssA(n6,n2) != ssA(n6,n6)
    & ssA(n6,n2) != ssA(n6,n7)
    & ssA(n6,n2) != ssA(n6,n8)
    & ssA(n6,n2) != ssA(n6,n9)
    & ssA(n6,n3) != ssA(n6,n4)
    & ssA(n6,n3) != ssA(n6,n5)
    & ssA(n6,n3) != ssA(n6,n6)
    & ssA(n6,n3) != ssA(n6,n7)
    & ssA(n6,n3) != ssA(n6,n8)
    & ssA(n6,n3) != ssA(n6,n9)
    & ssA(n6,n4) != ssA(n6,n5)
    & ssA(n6,n4) != ssA(n6,n6)
    & ssA(n6,n4) != ssA(n6,n7)
    & ssA(n6,n4) != ssA(n6,n8)
    & ssA(n6,n4) != ssA(n6,n9)
    & ssA(n6,n5) != ssA(n6,n6)
    & ssA(n6,n5) != ssA(n6,n7)
    & ssA(n6,n5) != ssA(n6,n8)
    & ssA(n6,n5) != ssA(n6,n9)
    & ssA(n6,n6) != ssA(n6,n7)
    & ssA(n6,n6) != ssA(n6,n8)
    & ssA(n6,n6) != ssA(n6,n9)
    & ssA(n6,n7) != ssA(n6,n8)
    & ssA(n6,n7) != ssA(n6,n9)
    & ssA(n6,n8) != ssA(n6,n9) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax61) ).

fof(ax124,axiom,
    ( ssA(n1,n4) = n3
    | ssA(n2,n4) = n3
    | ssA(n3,n4) = n3
    | ssA(n4,n4) = n3
    | ssA(n5,n4) = n3
    | ssA(n6,n4) = n3
    | ssA(n7,n4) = n3
    | ssA(n8,n4) = n3
    | ssA(n9,n4) = n3 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax124) ).

fof(ax360,axiom,
    ssA(n4,n4) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax360) ).

fof(ax366,axiom,
    ssA(n7,n4) = n7,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax366) ).

fof(ax201,axiom,
    ( ssA(n1,n4) != ssA(n1,n5)
    & ssA(n1,n4) != ssA(n1,n6)
    & ssA(n1,n4) != ssA(n2,n4)
    & ssA(n1,n4) != ssA(n2,n5)
    & ssA(n1,n4) != ssA(n2,n6)
    & ssA(n1,n4) != ssA(n3,n4)
    & ssA(n1,n4) != ssA(n3,n5)
    & ssA(n1,n4) != ssA(n3,n6)
    & ssA(n1,n5) != ssA(n1,n6)
    & ssA(n1,n5) != ssA(n2,n4)
    & ssA(n1,n5) != ssA(n2,n5)
    & ssA(n1,n5) != ssA(n2,n6)
    & ssA(n1,n5) != ssA(n3,n4)
    & ssA(n1,n5) != ssA(n3,n5)
    & ssA(n1,n5) != ssA(n3,n6)
    & ssA(n1,n6) != ssA(n2,n4)
    & ssA(n1,n6) != ssA(n2,n5)
    & ssA(n1,n6) != ssA(n2,n6)
    & ssA(n1,n6) != ssA(n3,n4)
    & ssA(n1,n6) != ssA(n3,n5)
    & ssA(n1,n6) != ssA(n3,n6)
    & ssA(n2,n4) != ssA(n2,n5)
    & ssA(n2,n4) != ssA(n2,n6)
    & ssA(n2,n4) != ssA(n3,n4)
    & ssA(n2,n4) != ssA(n3,n5)
    & ssA(n2,n4) != ssA(n3,n6)
    & ssA(n2,n5) != ssA(n2,n6)
    & ssA(n2,n5) != ssA(n3,n4)
    & ssA(n2,n5) != ssA(n3,n5)
    & ssA(n2,n5) != ssA(n3,n6)
    & ssA(n2,n6) != ssA(n3,n4)
    & ssA(n2,n6) != ssA(n3,n5)
    & ssA(n2,n6) != ssA(n3,n6)
    & ssA(n3,n4) != ssA(n3,n5)
    & ssA(n3,n4) != ssA(n3,n6)
    & ssA(n3,n5) != ssA(n3,n6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax201) ).

fof(ax94,axiom,
    ( ssA(n1,n1) = n3
    | ssA(n2,n1) = n3
    | ssA(n3,n1) = n3
    | ssA(n4,n1) = n3
    | ssA(n5,n1) = n3
    | ssA(n6,n1) = n3
    | ssA(n7,n1) = n3
    | ssA(n8,n1) = n3
    | ssA(n9,n1) = n3 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax94) ).

fof(ax362,axiom,
    ssA(n5,n1) = n9,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax362) ).

fof(ax81,axiom,
    ( ssA(n8,n1) != ssA(n8,n2)
    & ssA(n8,n1) != ssA(n8,n3)
    & ssA(n8,n1) != ssA(n8,n4)
    & ssA(n8,n1) != ssA(n8,n5)
    & ssA(n8,n1) != ssA(n8,n6)
    & ssA(n8,n1) != ssA(n8,n7)
    & ssA(n8,n1) != ssA(n8,n8)
    & ssA(n8,n1) != ssA(n8,n9)
    & ssA(n8,n2) != ssA(n8,n3)
    & ssA(n8,n2) != ssA(n8,n4)
    & ssA(n8,n2) != ssA(n8,n5)
    & ssA(n8,n2) != ssA(n8,n6)
    & ssA(n8,n2) != ssA(n8,n7)
    & ssA(n8,n2) != ssA(n8,n8)
    & ssA(n8,n2) != ssA(n8,n9)
    & ssA(n8,n3) != ssA(n8,n4)
    & ssA(n8,n3) != ssA(n8,n5)
    & ssA(n8,n3) != ssA(n8,n6)
    & ssA(n8,n3) != ssA(n8,n7)
    & ssA(n8,n3) != ssA(n8,n8)
    & ssA(n8,n3) != ssA(n8,n9)
    & ssA(n8,n4) != ssA(n8,n5)
    & ssA(n8,n4) != ssA(n8,n6)
    & ssA(n8,n4) != ssA(n8,n7)
    & ssA(n8,n4) != ssA(n8,n8)
    & ssA(n8,n4) != ssA(n8,n9)
    & ssA(n8,n5) != ssA(n8,n6)
    & ssA(n8,n5) != ssA(n8,n7)
    & ssA(n8,n5) != ssA(n8,n8)
    & ssA(n8,n5) != ssA(n8,n9)
    & ssA(n8,n6) != ssA(n8,n7)
    & ssA(n8,n6) != ssA(n8,n8)
    & ssA(n8,n6) != ssA(n8,n9)
    & ssA(n8,n7) != ssA(n8,n8)
    & ssA(n8,n7) != ssA(n8,n9)
    & ssA(n8,n8) != ssA(n8,n9) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax81) ).

fof(ax114,axiom,
    ( ssA(n1,n3) = n3
    | ssA(n2,n3) = n3
    | ssA(n3,n3) = n3
    | ssA(n4,n3) = n3
    | ssA(n5,n3) = n3
    | ssA(n6,n3) = n3
    | ssA(n7,n3) = n3
    | ssA(n8,n3) = n3
    | ssA(n9,n3) = n3 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax114) ).

fof(ax251,axiom,
    ( ssA(n7,n1) != ssA(n7,n2)
    & ssA(n7,n1) != ssA(n7,n3)
    & ssA(n7,n1) != ssA(n8,n1)
    & ssA(n7,n1) != ssA(n8,n2)
    & ssA(n7,n1) != ssA(n8,n3)
    & ssA(n7,n1) != ssA(n9,n1)
    & ssA(n7,n1) != ssA(n9,n2)
    & ssA(n7,n1) != ssA(n9,n3)
    & ssA(n7,n2) != ssA(n7,n3)
    & ssA(n7,n2) != ssA(n8,n1)
    & ssA(n7,n2) != ssA(n8,n2)
    & ssA(n7,n2) != ssA(n8,n3)
    & ssA(n7,n2) != ssA(n9,n1)
    & ssA(n7,n2) != ssA(n9,n2)
    & ssA(n7,n2) != ssA(n9,n3)
    & ssA(n7,n3) != ssA(n8,n1)
    & ssA(n7,n3) != ssA(n8,n2)
    & ssA(n7,n3) != ssA(n8,n3)
    & ssA(n7,n3) != ssA(n9,n1)
    & ssA(n7,n3) != ssA(n9,n2)
    & ssA(n7,n3) != ssA(n9,n3)
    & ssA(n8,n1) != ssA(n8,n2)
    & ssA(n8,n1) != ssA(n8,n3)
    & ssA(n8,n1) != ssA(n9,n1)
    & ssA(n8,n1) != ssA(n9,n2)
    & ssA(n8,n1) != ssA(n9,n3)
    & ssA(n8,n2) != ssA(n8,n3)
    & ssA(n8,n2) != ssA(n9,n1)
    & ssA(n8,n2) != ssA(n9,n2)
    & ssA(n8,n2) != ssA(n9,n3)
    & ssA(n8,n3) != ssA(n9,n1)
    & ssA(n8,n3) != ssA(n9,n2)
    & ssA(n8,n3) != ssA(n9,n3)
    & ssA(n9,n1) != ssA(n9,n2)
    & ssA(n9,n1) != ssA(n9,n3)
    & ssA(n9,n2) != ssA(n9,n3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax251) ).

fof(ax91,axiom,
    ( ssA(n9,n1) != ssA(n9,n2)
    & ssA(n9,n1) != ssA(n9,n3)
    & ssA(n9,n1) != ssA(n9,n4)
    & ssA(n9,n1) != ssA(n9,n5)
    & ssA(n9,n1) != ssA(n9,n6)
    & ssA(n9,n1) != ssA(n9,n7)
    & ssA(n9,n1) != ssA(n9,n8)
    & ssA(n9,n1) != ssA(n9,n9)
    & ssA(n9,n2) != ssA(n9,n3)
    & ssA(n9,n2) != ssA(n9,n4)
    & ssA(n9,n2) != ssA(n9,n5)
    & ssA(n9,n2) != ssA(n9,n6)
    & ssA(n9,n2) != ssA(n9,n7)
    & ssA(n9,n2) != ssA(n9,n8)
    & ssA(n9,n2) != ssA(n9,n9)
    & ssA(n9,n3) != ssA(n9,n4)
    & ssA(n9,n3) != ssA(n9,n5)
    & ssA(n9,n3) != ssA(n9,n6)
    & ssA(n9,n3) != ssA(n9,n7)
    & ssA(n9,n3) != ssA(n9,n8)
    & ssA(n9,n3) != ssA(n9,n9)
    & ssA(n9,n4) != ssA(n9,n5)
    & ssA(n9,n4) != ssA(n9,n6)
    & ssA(n9,n4) != ssA(n9,n7)
    & ssA(n9,n4) != ssA(n9,n8)
    & ssA(n9,n4) != ssA(n9,n9)
    & ssA(n9,n5) != ssA(n9,n6)
    & ssA(n9,n5) != ssA(n9,n7)
    & ssA(n9,n5) != ssA(n9,n8)
    & ssA(n9,n5) != ssA(n9,n9)
    & ssA(n9,n6) != ssA(n9,n7)
    & ssA(n9,n6) != ssA(n9,n8)
    & ssA(n9,n6) != ssA(n9,n9)
    & ssA(n9,n7) != ssA(n9,n8)
    & ssA(n9,n7) != ssA(n9,n9)
    & ssA(n9,n8) != ssA(n9,n9) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax91) ).

fof(ax164,axiom,
    ( ssA(n1,n8) = n3
    | ssA(n2,n8) = n3
    | ssA(n3,n8) = n3
    | ssA(n4,n8) = n3
    | ssA(n5,n8) = n3
    | ssA(n6,n8) = n3
    | ssA(n7,n8) = n3
    | ssA(n8,n8) = n3
    | ssA(n9,n8) = n3 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax164) ).

fof(ax363,axiom,
    ssA(n5,n8) = n6,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax363) ).

fof(ax367,axiom,
    ssA(n7,n8) = n1,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax367) ).

fof(ax41,axiom,
    ( ssA(n4,n1) != ssA(n4,n2)
    & ssA(n4,n1) != ssA(n4,n3)
    & ssA(n4,n1) != ssA(n4,n4)
    & ssA(n4,n1) != ssA(n4,n5)
    & ssA(n4,n1) != ssA(n4,n6)
    & ssA(n4,n1) != ssA(n4,n7)
    & ssA(n4,n1) != ssA(n4,n8)
    & ssA(n4,n1) != ssA(n4,n9)
    & ssA(n4,n2) != ssA(n4,n3)
    & ssA(n4,n2) != ssA(n4,n4)
    & ssA(n4,n2) != ssA(n4,n5)
    & ssA(n4,n2) != ssA(n4,n6)
    & ssA(n4,n2) != ssA(n4,n7)
    & ssA(n4,n2) != ssA(n4,n8)
    & ssA(n4,n2) != ssA(n4,n9)
    & ssA(n4,n3) != ssA(n4,n4)
    & ssA(n4,n3) != ssA(n4,n5)
    & ssA(n4,n3) != ssA(n4,n6)
    & ssA(n4,n3) != ssA(n4,n7)
    & ssA(n4,n3) != ssA(n4,n8)
    & ssA(n4,n3) != ssA(n4,n9)
    & ssA(n4,n4) != ssA(n4,n5)
    & ssA(n4,n4) != ssA(n4,n6)
    & ssA(n4,n4) != ssA(n4,n7)
    & ssA(n4,n4) != ssA(n4,n8)
    & ssA(n4,n4) != ssA(n4,n9)
    & ssA(n4,n5) != ssA(n4,n6)
    & ssA(n4,n5) != ssA(n4,n7)
    & ssA(n4,n5) != ssA(n4,n8)
    & ssA(n4,n5) != ssA(n4,n9)
    & ssA(n4,n6) != ssA(n4,n7)
    & ssA(n4,n6) != ssA(n4,n8)
    & ssA(n4,n6) != ssA(n4,n9)
    & ssA(n4,n7) != ssA(n4,n8)
    & ssA(n4,n7) != ssA(n4,n9)
    & ssA(n4,n8) != ssA(n4,n9) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax41) ).

fof(ax21,axiom,
    ( ssA(n2,n1) != ssA(n2,n2)
    & ssA(n2,n1) != ssA(n2,n3)
    & ssA(n2,n1) != ssA(n2,n4)
    & ssA(n2,n1) != ssA(n2,n5)
    & ssA(n2,n1) != ssA(n2,n6)
    & ssA(n2,n1) != ssA(n2,n7)
    & ssA(n2,n1) != ssA(n2,n8)
    & ssA(n2,n1) != ssA(n2,n9)
    & ssA(n2,n2) != ssA(n2,n3)
    & ssA(n2,n2) != ssA(n2,n4)
    & ssA(n2,n2) != ssA(n2,n5)
    & ssA(n2,n2) != ssA(n2,n6)
    & ssA(n2,n2) != ssA(n2,n7)
    & ssA(n2,n2) != ssA(n2,n8)
    & ssA(n2,n2) != ssA(n2,n9)
    & ssA(n2,n3) != ssA(n2,n4)
    & ssA(n2,n3) != ssA(n2,n5)
    & ssA(n2,n3) != ssA(n2,n6)
    & ssA(n2,n3) != ssA(n2,n7)
    & ssA(n2,n3) != ssA(n2,n8)
    & ssA(n2,n3) != ssA(n2,n9)
    & ssA(n2,n4) != ssA(n2,n5)
    & ssA(n2,n4) != ssA(n2,n6)
    & ssA(n2,n4) != ssA(n2,n7)
    & ssA(n2,n4) != ssA(n2,n8)
    & ssA(n2,n4) != ssA(n2,n9)
    & ssA(n2,n5) != ssA(n2,n6)
    & ssA(n2,n5) != ssA(n2,n7)
    & ssA(n2,n5) != ssA(n2,n8)
    & ssA(n2,n5) != ssA(n2,n9)
    & ssA(n2,n6) != ssA(n2,n7)
    & ssA(n2,n6) != ssA(n2,n8)
    & ssA(n2,n6) != ssA(n2,n9)
    & ssA(n2,n7) != ssA(n2,n8)
    & ssA(n2,n7) != ssA(n2,n9)
    & ssA(n2,n8) != ssA(n2,n9) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax21) ).

fof(ax358,axiom,
    ssA(n3,n2) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax358) ).

fof(ax131,axiom,
    ( ssA(n1,n4) != ssA(n2,n4)
    & ssA(n1,n4) != ssA(n3,n4)
    & ssA(n1,n4) != ssA(n4,n4)
    & ssA(n1,n4) != ssA(n5,n4)
    & ssA(n1,n4) != ssA(n6,n4)
    & ssA(n1,n4) != ssA(n7,n4)
    & ssA(n1,n4) != ssA(n8,n4)
    & ssA(n1,n4) != ssA(n9,n4)
    & ssA(n2,n4) != ssA(n3,n4)
    & ssA(n2,n4) != ssA(n4,n4)
    & ssA(n2,n4) != ssA(n5,n4)
    & ssA(n2,n4) != ssA(n6,n4)
    & ssA(n2,n4) != ssA(n7,n4)
    & ssA(n2,n4) != ssA(n8,n4)
    & ssA(n2,n4) != ssA(n9,n4)
    & ssA(n3,n4) != ssA(n4,n4)
    & ssA(n3,n4) != ssA(n5,n4)
    & ssA(n3,n4) != ssA(n6,n4)
    & ssA(n3,n4) != ssA(n7,n4)
    & ssA(n3,n4) != ssA(n8,n4)
    & ssA(n3,n4) != ssA(n9,n4)
    & ssA(n4,n4) != ssA(n5,n4)
    & ssA(n4,n4) != ssA(n6,n4)
    & ssA(n4,n4) != ssA(n7,n4)
    & ssA(n4,n4) != ssA(n8,n4)
    & ssA(n4,n4) != ssA(n9,n4)
    & ssA(n5,n4) != ssA(n6,n4)
    & ssA(n5,n4) != ssA(n7,n4)
    & ssA(n5,n4) != ssA(n8,n4)
    & ssA(n5,n4) != ssA(n9,n4)
    & ssA(n6,n4) != ssA(n7,n4)
    & ssA(n6,n4) != ssA(n8,n4)
    & ssA(n6,n4) != ssA(n9,n4)
    & ssA(n7,n4) != ssA(n8,n4)
    & ssA(n7,n4) != ssA(n9,n4)
    & ssA(n8,n4) != ssA(n9,n4) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax131) ).

fof(ax369,axiom,
    ssA(n8,n7) = n2,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax369) ).

fof(ax357,axiom,
    ssA(n2,n7) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax357) ).

fof(ax43,axiom,
    ( ssA(n5,n1) = n2
    | ssA(n5,n2) = n2
    | ssA(n5,n3) = n2
    | ssA(n5,n4) = n2
    | ssA(n5,n5) = n2
    | ssA(n5,n6) = n2
    | ssA(n5,n7) = n2
    | ssA(n5,n8) = n2
    | ssA(n5,n9) = n2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax43) ).

fof(ax364,axiom,
    ssA(n6,n5) = n5,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax364) ).

fof(ax141,axiom,
    ( ssA(n1,n5) != ssA(n2,n5)
    & ssA(n1,n5) != ssA(n3,n5)
    & ssA(n1,n5) != ssA(n4,n5)
    & ssA(n1,n5) != ssA(n5,n5)
    & ssA(n1,n5) != ssA(n6,n5)
    & ssA(n1,n5) != ssA(n7,n5)
    & ssA(n1,n5) != ssA(n8,n5)
    & ssA(n1,n5) != ssA(n9,n5)
    & ssA(n2,n5) != ssA(n3,n5)
    & ssA(n2,n5) != ssA(n4,n5)
    & ssA(n2,n5) != ssA(n5,n5)
    & ssA(n2,n5) != ssA(n6,n5)
    & ssA(n2,n5) != ssA(n7,n5)
    & ssA(n2,n5) != ssA(n8,n5)
    & ssA(n2,n5) != ssA(n9,n5)
    & ssA(n3,n5) != ssA(n4,n5)
    & ssA(n3,n5) != ssA(n5,n5)
    & ssA(n3,n5) != ssA(n6,n5)
    & ssA(n3,n5) != ssA(n7,n5)
    & ssA(n3,n5) != ssA(n8,n5)
    & ssA(n3,n5) != ssA(n9,n5)
    & ssA(n4,n5) != ssA(n5,n5)
    & ssA(n4,n5) != ssA(n6,n5)
    & ssA(n4,n5) != ssA(n7,n5)
    & ssA(n4,n5) != ssA(n8,n5)
    & ssA(n4,n5) != ssA(n9,n5)
    & ssA(n5,n5) != ssA(n6,n5)
    & ssA(n5,n5) != ssA(n7,n5)
    & ssA(n5,n5) != ssA(n8,n5)
    & ssA(n5,n5) != ssA(n9,n5)
    & ssA(n6,n5) != ssA(n7,n5)
    & ssA(n6,n5) != ssA(n8,n5)
    & ssA(n6,n5) != ssA(n9,n5)
    & ssA(n7,n5) != ssA(n8,n5)
    & ssA(n7,n5) != ssA(n9,n5)
    & ssA(n8,n5) != ssA(n9,n5) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax141) ).

fof(ax6,axiom,
    ( ssA(n1,n1) = n5
    | ssA(n1,n2) = n5
    | ssA(n1,n3) = n5
    | ssA(n1,n4) = n5
    | ssA(n1,n5) = n5
    | ssA(n1,n6) = n5
    | ssA(n1,n7) = n5
    | ssA(n1,n8) = n5
    | ssA(n1,n9) = n5 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax6) ).

fof(ax46,axiom,
    ( ssA(n5,n1) = n5
    | ssA(n5,n2) = n5
    | ssA(n5,n3) = n5
    | ssA(n5,n4) = n5
    | ssA(n5,n5) = n5
    | ssA(n5,n6) = n5
    | ssA(n5,n7) = n5
    | ssA(n5,n8) = n5
    | ssA(n5,n9) = n5 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax46) ).

fof(ax101,axiom,
    ( ssA(n1,n1) != ssA(n2,n1)
    & ssA(n1,n1) != ssA(n3,n1)
    & ssA(n1,n1) != ssA(n4,n1)
    & ssA(n1,n1) != ssA(n5,n1)
    & ssA(n1,n1) != ssA(n6,n1)
    & ssA(n1,n1) != ssA(n7,n1)
    & ssA(n1,n1) != ssA(n8,n1)
    & ssA(n1,n1) != ssA(n9,n1)
    & ssA(n2,n1) != ssA(n3,n1)
    & ssA(n2,n1) != ssA(n4,n1)
    & ssA(n2,n1) != ssA(n5,n1)
    & ssA(n2,n1) != ssA(n6,n1)
    & ssA(n2,n1) != ssA(n7,n1)
    & ssA(n2,n1) != ssA(n8,n1)
    & ssA(n2,n1) != ssA(n9,n1)
    & ssA(n3,n1) != ssA(n4,n1)
    & ssA(n3,n1) != ssA(n5,n1)
    & ssA(n3,n1) != ssA(n6,n1)
    & ssA(n3,n1) != ssA(n7,n1)
    & ssA(n3,n1) != ssA(n8,n1)
    & ssA(n3,n1) != ssA(n9,n1)
    & ssA(n4,n1) != ssA(n5,n1)
    & ssA(n4,n1) != ssA(n6,n1)
    & ssA(n4,n1) != ssA(n7,n1)
    & ssA(n4,n1) != ssA(n8,n1)
    & ssA(n4,n1) != ssA(n9,n1)
    & ssA(n5,n1) != ssA(n6,n1)
    & ssA(n5,n1) != ssA(n7,n1)
    & ssA(n5,n1) != ssA(n8,n1)
    & ssA(n5,n1) != ssA(n9,n1)
    & ssA(n6,n1) != ssA(n7,n1)
    & ssA(n6,n1) != ssA(n8,n1)
    & ssA(n6,n1) != ssA(n9,n1)
    & ssA(n7,n1) != ssA(n8,n1)
    & ssA(n7,n1) != ssA(n9,n1)
    & ssA(n8,n1) != ssA(n9,n1) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax101) ).

fof(ax221,axiom,
    ( ssA(n4,n1) != ssA(n4,n2)
    & ssA(n4,n1) != ssA(n4,n3)
    & ssA(n4,n1) != ssA(n5,n1)
    & ssA(n4,n1) != ssA(n5,n2)
    & ssA(n4,n1) != ssA(n5,n3)
    & ssA(n4,n1) != ssA(n6,n1)
    & ssA(n4,n1) != ssA(n6,n2)
    & ssA(n4,n1) != ssA(n6,n3)
    & ssA(n4,n2) != ssA(n4,n3)
    & ssA(n4,n2) != ssA(n5,n1)
    & ssA(n4,n2) != ssA(n5,n2)
    & ssA(n4,n2) != ssA(n5,n3)
    & ssA(n4,n2) != ssA(n6,n1)
    & ssA(n4,n2) != ssA(n6,n2)
    & ssA(n4,n2) != ssA(n6,n3)
    & ssA(n4,n3) != ssA(n5,n1)
    & ssA(n4,n3) != ssA(n5,n2)
    & ssA(n4,n3) != ssA(n5,n3)
    & ssA(n4,n3) != ssA(n6,n1)
    & ssA(n4,n3) != ssA(n6,n2)
    & ssA(n4,n3) != ssA(n6,n3)
    & ssA(n5,n1) != ssA(n5,n2)
    & ssA(n5,n1) != ssA(n5,n3)
    & ssA(n5,n1) != ssA(n6,n1)
    & ssA(n5,n1) != ssA(n6,n2)
    & ssA(n5,n1) != ssA(n6,n3)
    & ssA(n5,n2) != ssA(n5,n3)
    & ssA(n5,n2) != ssA(n6,n1)
    & ssA(n5,n2) != ssA(n6,n2)
    & ssA(n5,n2) != ssA(n6,n3)
    & ssA(n5,n3) != ssA(n6,n1)
    & ssA(n5,n3) != ssA(n6,n2)
    & ssA(n5,n3) != ssA(n6,n3)
    & ssA(n6,n1) != ssA(n6,n2)
    & ssA(n6,n1) != ssA(n6,n3)
    & ssA(n6,n2) != ssA(n6,n3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax221) ).

fof(ax51,axiom,
    ( ssA(n5,n1) != ssA(n5,n2)
    & ssA(n5,n1) != ssA(n5,n3)
    & ssA(n5,n1) != ssA(n5,n4)
    & ssA(n5,n1) != ssA(n5,n5)
    & ssA(n5,n1) != ssA(n5,n6)
    & ssA(n5,n1) != ssA(n5,n7)
    & ssA(n5,n1) != ssA(n5,n8)
    & ssA(n5,n1) != ssA(n5,n9)
    & ssA(n5,n2) != ssA(n5,n3)
    & ssA(n5,n2) != ssA(n5,n4)
    & ssA(n5,n2) != ssA(n5,n5)
    & ssA(n5,n2) != ssA(n5,n6)
    & ssA(n5,n2) != ssA(n5,n7)
    & ssA(n5,n2) != ssA(n5,n8)
    & ssA(n5,n2) != ssA(n5,n9)
    & ssA(n5,n3) != ssA(n5,n4)
    & ssA(n5,n3) != ssA(n5,n5)
    & ssA(n5,n3) != ssA(n5,n6)
    & ssA(n5,n3) != ssA(n5,n7)
    & ssA(n5,n3) != ssA(n5,n8)
    & ssA(n5,n3) != ssA(n5,n9)
    & ssA(n5,n4) != ssA(n5,n5)
    & ssA(n5,n4) != ssA(n5,n6)
    & ssA(n5,n4) != ssA(n5,n7)
    & ssA(n5,n4) != ssA(n5,n8)
    & ssA(n5,n4) != ssA(n5,n9)
    & ssA(n5,n5) != ssA(n5,n6)
    & ssA(n5,n5) != ssA(n5,n7)
    & ssA(n5,n5) != ssA(n5,n8)
    & ssA(n5,n5) != ssA(n5,n9)
    & ssA(n5,n6) != ssA(n5,n7)
    & ssA(n5,n6) != ssA(n5,n8)
    & ssA(n5,n6) != ssA(n5,n9)
    & ssA(n5,n7) != ssA(n5,n8)
    & ssA(n5,n7) != ssA(n5,n9)
    & ssA(n5,n8) != ssA(n5,n9) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax51) ).

fof(ax193,axiom,
    ( ssA(n1,n4) = n2
    | ssA(n1,n5) = n2
    | ssA(n1,n6) = n2
    | ssA(n2,n4) = n2
    | ssA(n2,n5) = n2
    | ssA(n2,n6) = n2
    | ssA(n3,n4) = n2
    | ssA(n3,n5) = n2
    | ssA(n3,n6) = n2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax193) ).

fof(ax356,axiom,
    ssA(n2,n6) = n8,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax356) ).

fof(ax36,axiom,
    ( ssA(n4,n1) = n5
    | ssA(n4,n2) = n5
    | ssA(n4,n3) = n5
    | ssA(n4,n4) = n5
    | ssA(n4,n5) = n5
    | ssA(n4,n6) = n5
    | ssA(n4,n7) = n5
    | ssA(n4,n8) = n5
    | ssA(n4,n9) = n5 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax36) ).

fof(ax361,axiom,
    ssA(n4,n5) = n4,
    file('/export/starexec/sandbox/benchmark/theBenchmark.p',ax361) ).

fof(ax40,axiom,
    ( ssA(n4,n1) = n9
    | ssA(n4,n2) = n9
    | ssA(n4,n3) = n9
    | ssA(n4,n4) = n9
    | ssA(n4,n5) = n9
    | ssA(n4,n6) = n9
    | ssA(n4,n7) = n9
    | ssA(n4,n8) = n9
    | ssA(n4,n9) = n9 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax40) ).

fof(ax227,axiom,
    ( ssA(n4,n4) = n6
    | ssA(n4,n5) = n6
    | ssA(n4,n6) = n6
    | ssA(n5,n4) = n6
    | ssA(n5,n5) = n6
    | ssA(n5,n6) = n6
    | ssA(n6,n4) = n6
    | ssA(n6,n5) = n6
    | ssA(n6,n6) = n6 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax227) ).

fof(ax191,axiom,
    ( ssA(n1,n1) != ssA(n1,n2)
    & ssA(n1,n1) != ssA(n1,n3)
    & ssA(n1,n1) != ssA(n2,n1)
    & ssA(n1,n1) != ssA(n2,n2)
    & ssA(n1,n1) != ssA(n2,n3)
    & ssA(n1,n1) != ssA(n3,n1)
    & ssA(n1,n1) != ssA(n3,n2)
    & ssA(n1,n1) != ssA(n3,n3)
    & ssA(n1,n2) != ssA(n1,n3)
    & ssA(n1,n2) != ssA(n2,n1)
    & ssA(n1,n2) != ssA(n2,n2)
    & ssA(n1,n2) != ssA(n2,n3)
    & ssA(n1,n2) != ssA(n3,n1)
    & ssA(n1,n2) != ssA(n3,n2)
    & ssA(n1,n2) != ssA(n3,n3)
    & ssA(n1,n3) != ssA(n2,n1)
    & ssA(n1,n3) != ssA(n2,n2)
    & ssA(n1,n3) != ssA(n2,n3)
    & ssA(n1,n3) != ssA(n3,n1)
    & ssA(n1,n3) != ssA(n3,n2)
    & ssA(n1,n3) != ssA(n3,n3)
    & ssA(n2,n1) != ssA(n2,n2)
    & ssA(n2,n1) != ssA(n2,n3)
    & ssA(n2,n1) != ssA(n3,n1)
    & ssA(n2,n1) != ssA(n3,n2)
    & ssA(n2,n1) != ssA(n3,n3)
    & ssA(n2,n2) != ssA(n2,n3)
    & ssA(n2,n2) != ssA(n3,n1)
    & ssA(n2,n2) != ssA(n3,n2)
    & ssA(n2,n2) != ssA(n3,n3)
    & ssA(n2,n3) != ssA(n3,n1)
    & ssA(n2,n3) != ssA(n3,n2)
    & ssA(n2,n3) != ssA(n3,n3)
    & ssA(n3,n1) != ssA(n3,n2)
    & ssA(n3,n1) != ssA(n3,n3)
    & ssA(n3,n2) != ssA(n3,n3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax191) ).

fof(ax121,axiom,
    ( ssA(n1,n3) != ssA(n2,n3)
    & ssA(n1,n3) != ssA(n3,n3)
    & ssA(n1,n3) != ssA(n4,n3)
    & ssA(n1,n3) != ssA(n5,n3)
    & ssA(n1,n3) != ssA(n6,n3)
    & ssA(n1,n3) != ssA(n7,n3)
    & ssA(n1,n3) != ssA(n8,n3)
    & ssA(n1,n3) != ssA(n9,n3)
    & ssA(n2,n3) != ssA(n3,n3)
    & ssA(n2,n3) != ssA(n4,n3)
    & ssA(n2,n3) != ssA(n5,n3)
    & ssA(n2,n3) != ssA(n6,n3)
    & ssA(n2,n3) != ssA(n7,n3)
    & ssA(n2,n3) != ssA(n8,n3)
    & ssA(n2,n3) != ssA(n9,n3)
    & ssA(n3,n3) != ssA(n4,n3)
    & ssA(n3,n3) != ssA(n5,n3)
    & ssA(n3,n3) != ssA(n6,n3)
    & ssA(n3,n3) != ssA(n7,n3)
    & ssA(n3,n3) != ssA(n8,n3)
    & ssA(n3,n3) != ssA(n9,n3)
    & ssA(n4,n3) != ssA(n5,n3)
    & ssA(n4,n3) != ssA(n6,n3)
    & ssA(n4,n3) != ssA(n7,n3)
    & ssA(n4,n3) != ssA(n8,n3)
    & ssA(n4,n3) != ssA(n9,n3)
    & ssA(n5,n3) != ssA(n6,n3)
    & ssA(n5,n3) != ssA(n7,n3)
    & ssA(n5,n3) != ssA(n8,n3)
    & ssA(n5,n3) != ssA(n9,n3)
    & ssA(n6,n3) != ssA(n7,n3)
    & ssA(n6,n3) != ssA(n8,n3)
    & ssA(n6,n3) != ssA(n9,n3)
    & ssA(n7,n3) != ssA(n8,n3)
    & ssA(n7,n3) != ssA(n9,n3)
    & ssA(n8,n3) != ssA(n9,n3) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax121) ).

fof(ax11,axiom,
    ( ssA(n1,n1) != ssA(n1,n2)
    & ssA(n1,n1) != ssA(n1,n3)
    & ssA(n1,n1) != ssA(n1,n4)
    & ssA(n1,n1) != ssA(n1,n5)
    & ssA(n1,n1) != ssA(n1,n6)
    & ssA(n1,n1) != ssA(n1,n7)
    & ssA(n1,n1) != ssA(n1,n8)
    & ssA(n1,n1) != ssA(n1,n9)
    & ssA(n1,n2) != ssA(n1,n3)
    & ssA(n1,n2) != ssA(n1,n4)
    & ssA(n1,n2) != ssA(n1,n5)
    & ssA(n1,n2) != ssA(n1,n6)
    & ssA(n1,n2) != ssA(n1,n7)
    & ssA(n1,n2) != ssA(n1,n8)
    & ssA(n1,n2) != ssA(n1,n9)
    & ssA(n1,n3) != ssA(n1,n4)
    & ssA(n1,n3) != ssA(n1,n5)
    & ssA(n1,n3) != ssA(n1,n6)
    & ssA(n1,n3) != ssA(n1,n7)
    & ssA(n1,n3) != ssA(n1,n8)
    & ssA(n1,n3) != ssA(n1,n9)
    & ssA(n1,n4) != ssA(n1,n5)
    & ssA(n1,n4) != ssA(n1,n6)
    & ssA(n1,n4) != ssA(n1,n7)
    & ssA(n1,n4) != ssA(n1,n8)
    & ssA(n1,n4) != ssA(n1,n9)
    & ssA(n1,n5) != ssA(n1,n6)
    & ssA(n1,n5) != ssA(n1,n7)
    & ssA(n1,n5) != ssA(n1,n8)
    & ssA(n1,n5) != ssA(n1,n9)
    & ssA(n1,n6) != ssA(n1,n7)
    & ssA(n1,n6) != ssA(n1,n8)
    & ssA(n1,n6) != ssA(n1,n9)
    & ssA(n1,n7) != ssA(n1,n8)
    & ssA(n1,n7) != ssA(n1,n9)
    & ssA(n1,n8) != ssA(n1,n9) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax11) ).

fof(ax171,axiom,
    ( ssA(n1,n8) != ssA(n2,n8)
    & ssA(n1,n8) != ssA(n3,n8)
    & ssA(n1,n8) != ssA(n4,n8)
    & ssA(n1,n8) != ssA(n5,n8)
    & ssA(n1,n8) != ssA(n6,n8)
    & ssA(n1,n8) != ssA(n7,n8)
    & ssA(n1,n8) != ssA(n8,n8)
    & ssA(n1,n8) != ssA(n9,n8)
    & ssA(n2,n8) != ssA(n3,n8)
    & ssA(n2,n8) != ssA(n4,n8)
    & ssA(n2,n8) != ssA(n5,n8)
    & ssA(n2,n8) != ssA(n6,n8)
    & ssA(n2,n8) != ssA(n7,n8)
    & ssA(n2,n8) != ssA(n8,n8)
    & ssA(n2,n8) != ssA(n9,n8)
    & ssA(n3,n8) != ssA(n4,n8)
    & ssA(n3,n8) != ssA(n5,n8)
    & ssA(n3,n8) != ssA(n6,n8)
    & ssA(n3,n8) != ssA(n7,n8)
    & ssA(n3,n8) != ssA(n8,n8)
    & ssA(n3,n8) != ssA(n9,n8)
    & ssA(n4,n8) != ssA(n5,n8)
    & ssA(n4,n8) != ssA(n6,n8)
    & ssA(n4,n8) != ssA(n7,n8)
    & ssA(n4,n8) != ssA(n8,n8)
    & ssA(n4,n8) != ssA(n9,n8)
    & ssA(n5,n8) != ssA(n6,n8)
    & ssA(n5,n8) != ssA(n7,n8)
    & ssA(n5,n8) != ssA(n8,n8)
    & ssA(n5,n8) != ssA(n9,n8)
    & ssA(n6,n8) != ssA(n7,n8)
    & ssA(n6,n8) != ssA(n8,n8)
    & ssA(n6,n8) != ssA(n9,n8)
    & ssA(n7,n8) != ssA(n8,n8)
    & ssA(n7,n8) != ssA(n9,n8)
    & ssA(n8,n8) != ssA(n9,n8) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax171) ).

fof(ax241,axiom,
    ( ssA(n4,n7) != ssA(n4,n8)
    & ssA(n4,n7) != ssA(n4,n9)
    & ssA(n4,n7) != ssA(n5,n7)
    & ssA(n4,n7) != ssA(n5,n8)
    & ssA(n4,n7) != ssA(n5,n9)
    & ssA(n4,n7) != ssA(n6,n7)
    & ssA(n4,n7) != ssA(n6,n8)
    & ssA(n4,n7) != ssA(n6,n9)
    & ssA(n4,n8) != ssA(n4,n9)
    & ssA(n4,n8) != ssA(n5,n7)
    & ssA(n4,n8) != ssA(n5,n8)
    & ssA(n4,n8) != ssA(n5,n9)
    & ssA(n4,n8) != ssA(n6,n7)
    & ssA(n4,n8) != ssA(n6,n8)
    & ssA(n4,n8) != ssA(n6,n9)
    & ssA(n4,n9) != ssA(n5,n7)
    & ssA(n4,n9) != ssA(n5,n8)
    & ssA(n4,n9) != ssA(n5,n9)
    & ssA(n4,n9) != ssA(n6,n7)
    & ssA(n4,n9) != ssA(n6,n8)
    & ssA(n4,n9) != ssA(n6,n9)
    & ssA(n5,n7) != ssA(n5,n8)
    & ssA(n5,n7) != ssA(n5,n9)
    & ssA(n5,n7) != ssA(n6,n7)
    & ssA(n5,n7) != ssA(n6,n8)
    & ssA(n5,n7) != ssA(n6,n9)
    & ssA(n5,n8) != ssA(n5,n9)
    & ssA(n5,n8) != ssA(n6,n7)
    & ssA(n5,n8) != ssA(n6,n8)
    & ssA(n5,n8) != ssA(n6,n9)
    & ssA(n5,n9) != ssA(n6,n7)
    & ssA(n5,n9) != ssA(n6,n8)
    & ssA(n5,n9) != ssA(n6,n9)
    & ssA(n6,n7) != ssA(n6,n8)
    & ssA(n6,n7) != ssA(n6,n9)
    & ssA(n6,n8) != ssA(n6,n9) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax241) ).

fof(ax71,axiom,
    ( ssA(n7,n1) != ssA(n7,n2)
    & ssA(n7,n1) != ssA(n7,n3)
    & ssA(n7,n1) != ssA(n7,n4)
    & ssA(n7,n1) != ssA(n7,n5)
    & ssA(n7,n1) != ssA(n7,n6)
    & ssA(n7,n1) != ssA(n7,n7)
    & ssA(n7,n1) != ssA(n7,n8)
    & ssA(n7,n1) != ssA(n7,n9)
    & ssA(n7,n2) != ssA(n7,n3)
    & ssA(n7,n2) != ssA(n7,n4)
    & ssA(n7,n2) != ssA(n7,n5)
    & ssA(n7,n2) != ssA(n7,n6)
    & ssA(n7,n2) != ssA(n7,n7)
    & ssA(n7,n2) != ssA(n7,n8)
    & ssA(n7,n2) != ssA(n7,n9)
    & ssA(n7,n3) != ssA(n7,n4)
    & ssA(n7,n3) != ssA(n7,n5)
    & ssA(n7,n3) != ssA(n7,n6)
    & ssA(n7,n3) != ssA(n7,n7)
    & ssA(n7,n3) != ssA(n7,n8)
    & ssA(n7,n3) != ssA(n7,n9)
    & ssA(n7,n4) != ssA(n7,n5)
    & ssA(n7,n4) != ssA(n7,n6)
    & ssA(n7,n4) != ssA(n7,n7)
    & ssA(n7,n4) != ssA(n7,n8)
    & ssA(n7,n4) != ssA(n7,n9)
    & ssA(n7,n5) != ssA(n7,n6)
    & ssA(n7,n5) != ssA(n7,n7)
    & ssA(n7,n5) != ssA(n7,n8)
    & ssA(n7,n5) != ssA(n7,n9)
    & ssA(n7,n6) != ssA(n7,n7)
    & ssA(n7,n6) != ssA(n7,n8)
    & ssA(n7,n6) != ssA(n7,n9)
    & ssA(n7,n7) != ssA(n7,n8)
    & ssA(n7,n7) != ssA(n7,n9)
    & ssA(n7,n8) != ssA(n7,n9) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax71) ).

fof(ax271,axiom,
    ( ssA(n7,n7) != ssA(n7,n8)
    & ssA(n7,n7) != ssA(n7,n9)
    & ssA(n7,n7) != ssA(n8,n7)
    & ssA(n7,n7) != ssA(n8,n8)
    & ssA(n7,n7) != ssA(n8,n9)
    & ssA(n7,n7) != ssA(n9,n7)
    & ssA(n7,n7) != ssA(n9,n8)
    & ssA(n7,n7) != ssA(n9,n9)
    & ssA(n7,n8) != ssA(n7,n9)
    & ssA(n7,n8) != ssA(n8,n7)
    & ssA(n7,n8) != ssA(n8,n8)
    & ssA(n7,n8) != ssA(n8,n9)
    & ssA(n7,n8) != ssA(n9,n7)
    & ssA(n7,n8) != ssA(n9,n8)
    & ssA(n7,n8) != ssA(n9,n9)
    & ssA(n7,n9) != ssA(n8,n7)
    & ssA(n7,n9) != ssA(n8,n8)
    & ssA(n7,n9) != ssA(n8,n9)
    & ssA(n7,n9) != ssA(n9,n7)
    & ssA(n7,n9) != ssA(n9,n8)
    & ssA(n7,n9) != ssA(n9,n9)
    & ssA(n8,n7) != ssA(n8,n8)
    & ssA(n8,n7) != ssA(n8,n9)
    & ssA(n8,n7) != ssA(n9,n7)
    & ssA(n8,n7) != ssA(n9,n8)
    & ssA(n8,n7) != ssA(n9,n9)
    & ssA(n8,n8) != ssA(n8,n9)
    & ssA(n8,n8) != ssA(n9,n7)
    & ssA(n8,n8) != ssA(n9,n8)
    & ssA(n8,n8) != ssA(n9,n9)
    & ssA(n8,n9) != ssA(n9,n7)
    & ssA(n8,n9) != ssA(n9,n8)
    & ssA(n8,n9) != ssA(n9,n9)
    & ssA(n9,n7) != ssA(n9,n8)
    & ssA(n9,n7) != ssA(n9,n9)
    & ssA(n9,n8) != ssA(n9,n9) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax271) ).

fof(ax45,axiom,
    ( ssA(n5,n1) = n4
    | ssA(n5,n2) = n4
    | ssA(n5,n3) = n4
    | ssA(n5,n4) = n4
    | ssA(n5,n5) = n4
    | ssA(n5,n6) = n4
    | ssA(n5,n7) = n4
    | ssA(n5,n8) = n4
    | ssA(n5,n9) = n4 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax45) ).

fof(ax18,axiom,
    ( ssA(n2,n1) = n7
    | ssA(n2,n2) = n7
    | ssA(n2,n3) = n7
    | ssA(n2,n4) = n7
    | ssA(n2,n5) = n7
    | ssA(n2,n6) = n7
    | ssA(n2,n7) = n7
    | ssA(n2,n8) = n7
    | ssA(n2,n9) = n7 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax18) ).

fof(ax202,axiom,
    ( ssA(n1,n7) = n1
    | ssA(n1,n8) = n1
    | ssA(n1,n9) = n1
    | ssA(n2,n7) = n1
    | ssA(n2,n8) = n1
    | ssA(n2,n9) = n1
    | ssA(n3,n7) = n1
    | ssA(n3,n8) = n1
    | ssA(n3,n9) = n1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax202) ).

fof(ax207,axiom,
    ( ssA(n1,n7) = n6
    | ssA(n1,n8) = n6
    | ssA(n1,n9) = n6
    | ssA(n2,n7) = n6
    | ssA(n2,n8) = n6
    | ssA(n2,n9) = n6
    | ssA(n3,n7) = n6
    | ssA(n3,n8) = n6
    | ssA(n3,n9) = n6 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax207) ).

fof(ax174,axiom,
    ( ssA(n1,n9) = n3
    | ssA(n2,n9) = n3
    | ssA(n3,n9) = n3
    | ssA(n4,n9) = n3
    | ssA(n5,n9) = n3
    | ssA(n6,n9) = n3
    | ssA(n7,n9) = n3
    | ssA(n8,n9) = n3
    | ssA(n9,n9) = n3 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax174) ).

fof(ax152,axiom,
    ( ssA(n1,n7) = n1
    | ssA(n2,n7) = n1
    | ssA(n3,n7) = n1
    | ssA(n4,n7) = n1
    | ssA(n5,n7) = n1
    | ssA(n6,n7) = n1
    | ssA(n7,n7) = n1
    | ssA(n8,n7) = n1
    | ssA(n9,n7) = n1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax152) ).

fof(ax178,axiom,
    ( ssA(n1,n9) = n7
    | ssA(n2,n9) = n7
    | ssA(n3,n9) = n7
    | ssA(n4,n9) = n7
    | ssA(n5,n9) = n7
    | ssA(n6,n9) = n7
    | ssA(n7,n9) = n7
    | ssA(n8,n9) = n7
    | ssA(n9,n9) = n7 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax178) ).

fof(ax158,axiom,
    ( ssA(n1,n7) = n7
    | ssA(n2,n7) = n7
    | ssA(n3,n7) = n7
    | ssA(n4,n7) = n7
    | ssA(n5,n7) = n7
    | ssA(n6,n7) = n7
    | ssA(n7,n7) = n7
    | ssA(n8,n7) = n7
    | ssA(n9,n7) = n7 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax158) ).

fof(ax108,axiom,
    ( ssA(n1,n2) = n7
    | ssA(n2,n2) = n7
    | ssA(n3,n2) = n7
    | ssA(n4,n2) = n7
    | ssA(n5,n2) = n7
    | ssA(n6,n2) = n7
    | ssA(n7,n2) = n7
    | ssA(n8,n2) = n7
    | ssA(n9,n2) = n7 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax108) ).

fof(ax126,axiom,
    ( ssA(n1,n4) = n5
    | ssA(n2,n4) = n5
    | ssA(n3,n4) = n5
    | ssA(n4,n4) = n5
    | ssA(n5,n4) = n5
    | ssA(n6,n4) = n5
    | ssA(n7,n4) = n5
    | ssA(n8,n4) = n5
    | ssA(n9,n4) = n5 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax126) ).

fof(ax299,axiom,
    ( ssA(n4,n1) = n1
    | ssA(n4,n1) = n2
    | ssA(n4,n1) = n3
    | ssA(n4,n1) = n4
    | ssA(n4,n1) = n5
    | ssA(n4,n1) = n6
    | ssA(n4,n1) = n7
    | ssA(n4,n1) = n8
    | ssA(n4,n1) = n9 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax299) ).

fof(ax102,axiom,
    ( ssA(n1,n2) = n1
    | ssA(n2,n2) = n1
    | ssA(n3,n2) = n1
    | ssA(n4,n2) = n1
    | ssA(n5,n2) = n1
    | ssA(n6,n2) = n1
    | ssA(n7,n2) = n1
    | ssA(n8,n2) = n1
    | ssA(n9,n2) = n1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax102) ).

fof(ax116,axiom,
    ( ssA(n1,n3) = n5
    | ssA(n2,n3) = n5
    | ssA(n3,n3) = n5
    | ssA(n4,n3) = n5
    | ssA(n5,n3) = n5
    | ssA(n6,n3) = n5
    | ssA(n7,n3) = n5
    | ssA(n8,n3) = n5
    | ssA(n9,n3) = n5 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax116) ).

fof(ax166,axiom,
    ( ssA(n1,n8) = n5
    | ssA(n2,n8) = n5
    | ssA(n3,n8) = n5
    | ssA(n4,n8) = n5
    | ssA(n5,n8) = n5
    | ssA(n6,n8) = n5
    | ssA(n7,n8) = n5
    | ssA(n8,n8) = n5
    | ssA(n9,n8) = n5 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax166) ).

fof(ax278,axiom,
    ( ssA(n1,n7) = n1
    | ssA(n1,n7) = n2
    | ssA(n1,n7) = n3
    | ssA(n1,n7) = n4
    | ssA(n1,n7) = n5
    | ssA(n1,n7) = n6
    | ssA(n1,n7) = n7
    | ssA(n1,n7) = n8
    | ssA(n1,n7) = n9 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax278) ).

fof(ax29,axiom,
    ( ssA(n3,n1) = n8
    | ssA(n3,n2) = n8
    | ssA(n3,n3) = n8
    | ssA(n3,n4) = n8
    | ssA(n3,n5) = n8
    | ssA(n3,n6) = n8
    | ssA(n3,n7) = n8
    | ssA(n3,n8) = n8
    | ssA(n3,n9) = n8 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax29) ).

fof(ax3,axiom,
    ( ssA(n1,n1) = n2
    | ssA(n1,n2) = n2
    | ssA(n1,n3) = n2
    | ssA(n1,n4) = n2
    | ssA(n1,n5) = n2
    | ssA(n1,n6) = n2
    | ssA(n1,n7) = n2
    | ssA(n1,n8) = n2
    | ssA(n1,n9) = n2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax3) ).

fof(ax230,axiom,
    ( ssA(n4,n4) = n9
    | ssA(n4,n5) = n9
    | ssA(n4,n6) = n9
    | ssA(n5,n4) = n9
    | ssA(n5,n5) = n9
    | ssA(n5,n6) = n9
    | ssA(n6,n4) = n9
    | ssA(n6,n5) = n9
    | ssA(n6,n6) = n9 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax230) ).

fof(ax248,axiom,
    ( ssA(n7,n1) = n7
    | ssA(n7,n2) = n7
    | ssA(n7,n3) = n7
    | ssA(n8,n1) = n7
    | ssA(n8,n2) = n7
    | ssA(n8,n3) = n7
    | ssA(n9,n1) = n7
    | ssA(n9,n2) = n7
    | ssA(n9,n3) = n7 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax248) ).

fof(ax200,axiom,
    ( ssA(n1,n4) = n9
    | ssA(n1,n5) = n9
    | ssA(n1,n6) = n9
    | ssA(n2,n4) = n9
    | ssA(n2,n5) = n9
    | ssA(n2,n6) = n9
    | ssA(n3,n4) = n9
    | ssA(n3,n5) = n9
    | ssA(n3,n6) = n9 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax200) ).

fof(ax249,axiom,
    ( ssA(n7,n1) = n8
    | ssA(n7,n2) = n8
    | ssA(n7,n3) = n8
    | ssA(n8,n1) = n8
    | ssA(n8,n2) = n8
    | ssA(n8,n3) = n8
    | ssA(n9,n1) = n8
    | ssA(n9,n2) = n8
    | ssA(n9,n3) = n8 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax249) ).

fof(ax157,axiom,
    ( ssA(n1,n7) = n6
    | ssA(n2,n7) = n6
    | ssA(n3,n7) = n6
    | ssA(n4,n7) = n6
    | ssA(n5,n7) = n6
    | ssA(n6,n7) = n6
    | ssA(n7,n7) = n6
    | ssA(n8,n7) = n6
    | ssA(n9,n7) = n6 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax157) ).

fof(ax181,axiom,
    ( ssA(n1,n9) != ssA(n2,n9)
    & ssA(n1,n9) != ssA(n3,n9)
    & ssA(n1,n9) != ssA(n4,n9)
    & ssA(n1,n9) != ssA(n5,n9)
    & ssA(n1,n9) != ssA(n6,n9)
    & ssA(n1,n9) != ssA(n7,n9)
    & ssA(n1,n9) != ssA(n8,n9)
    & ssA(n1,n9) != ssA(n9,n9)
    & ssA(n2,n9) != ssA(n3,n9)
    & ssA(n2,n9) != ssA(n4,n9)
    & ssA(n2,n9) != ssA(n5,n9)
    & ssA(n2,n9) != ssA(n6,n9)
    & ssA(n2,n9) != ssA(n7,n9)
    & ssA(n2,n9) != ssA(n8,n9)
    & ssA(n2,n9) != ssA(n9,n9)
    & ssA(n3,n9) != ssA(n4,n9)
    & ssA(n3,n9) != ssA(n5,n9)
    & ssA(n3,n9) != ssA(n6,n9)
    & ssA(n3,n9) != ssA(n7,n9)
    & ssA(n3,n9) != ssA(n8,n9)
    & ssA(n3,n9) != ssA(n9,n9)
    & ssA(n4,n9) != ssA(n5,n9)
    & ssA(n4,n9) != ssA(n6,n9)
    & ssA(n4,n9) != ssA(n7,n9)
    & ssA(n4,n9) != ssA(n8,n9)
    & ssA(n4,n9) != ssA(n9,n9)
    & ssA(n5,n9) != ssA(n6,n9)
    & ssA(n5,n9) != ssA(n7,n9)
    & ssA(n5,n9) != ssA(n8,n9)
    & ssA(n5,n9) != ssA(n9,n9)
    & ssA(n6,n9) != ssA(n7,n9)
    & ssA(n6,n9) != ssA(n8,n9)
    & ssA(n6,n9) != ssA(n9,n9)
    & ssA(n7,n9) != ssA(n8,n9)
    & ssA(n7,n9) != ssA(n9,n9)
    & ssA(n8,n9) != ssA(n9,n9) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax181) ).

fof(ax170,axiom,
    ( ssA(n1,n8) = n9
    | ssA(n2,n8) = n9
    | ssA(n3,n8) = n9
    | ssA(n4,n8) = n9
    | ssA(n5,n8) = n9
    | ssA(n6,n8) = n9
    | ssA(n7,n8) = n9
    | ssA(n8,n8) = n9
    | ssA(n9,n8) = n9 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax170) ).

fof(ax330,axiom,
    ( ssA(n7,n5) = n1
    | ssA(n7,n5) = n2
    | ssA(n7,n5) = n3
    | ssA(n7,n5) = n4
    | ssA(n7,n5) = n5
    | ssA(n7,n5) = n6
    | ssA(n7,n5) = n7
    | ssA(n7,n5) = n8
    | ssA(n7,n5) = n9 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax330) ).

fof(ax297,axiom,
    ( ssA(n3,n8) = n1
    | ssA(n3,n8) = n2
    | ssA(n3,n8) = n3
    | ssA(n3,n8) = n4
    | ssA(n3,n8) = n5
    | ssA(n3,n8) = n6
    | ssA(n3,n8) = n7
    | ssA(n3,n8) = n8
    | ssA(n3,n8) = n9 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax297) ).

fof(ax20,axiom,
    ( ssA(n2,n1) = n9
    | ssA(n2,n2) = n9
    | ssA(n2,n3) = n9
    | ssA(n2,n4) = n9
    | ssA(n2,n5) = n9
    | ssA(n2,n6) = n9
    | ssA(n2,n7) = n9
    | ssA(n2,n8) = n9
    | ssA(n2,n9) = n9 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax20) ).

fof(ax250,axiom,
    ( ssA(n7,n1) = n9
    | ssA(n7,n2) = n9
    | ssA(n7,n3) = n9
    | ssA(n8,n1) = n9
    | ssA(n8,n2) = n9
    | ssA(n8,n3) = n9
    | ssA(n9,n1) = n9
    | ssA(n9,n2) = n9
    | ssA(n9,n3) = n9 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax250) ).

fof(ax293,axiom,
    ( ssA(n3,n4) = n1
    | ssA(n3,n4) = n2
    | ssA(n3,n4) = n3
    | ssA(n3,n4) = n4
    | ssA(n3,n4) = n5
    | ssA(n3,n4) = n6
    | ssA(n3,n4) = n7
    | ssA(n3,n4) = n8
    | ssA(n3,n4) = n9 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax293) ).

fof(ax17,axiom,
    ( ssA(n2,n1) = n6
    | ssA(n2,n2) = n6
    | ssA(n2,n3) = n6
    | ssA(n2,n4) = n6
    | ssA(n2,n5) = n6
    | ssA(n2,n6) = n6
    | ssA(n2,n7) = n6
    | ssA(n2,n8) = n6
    | ssA(n2,n9) = n6 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax17) ).

fof(ax77,axiom,
    ( ssA(n8,n1) = n6
    | ssA(n8,n2) = n6
    | ssA(n8,n3) = n6
    | ssA(n8,n4) = n6
    | ssA(n8,n5) = n6
    | ssA(n8,n6) = n6
    | ssA(n8,n7) = n6
    | ssA(n8,n8) = n6
    | ssA(n8,n9) = n6 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax77) ).

fof(ax222,axiom,
    ( ssA(n4,n4) = n1
    | ssA(n4,n5) = n1
    | ssA(n4,n6) = n1
    | ssA(n5,n4) = n1
    | ssA(n5,n5) = n1
    | ssA(n5,n6) = n1
    | ssA(n6,n4) = n1
    | ssA(n6,n5) = n1
    | ssA(n6,n6) = n1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax222) ).

fof(ax129,axiom,
    ( ssA(n1,n4) = n8
    | ssA(n2,n4) = n8
    | ssA(n3,n4) = n8
    | ssA(n4,n4) = n8
    | ssA(n5,n4) = n8
    | ssA(n6,n4) = n8
    | ssA(n7,n4) = n8
    | ssA(n8,n4) = n8
    | ssA(n9,n4) = n8 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax129) ).

fof(ax261,axiom,
    ( ssA(n7,n4) != ssA(n7,n5)
    & ssA(n7,n4) != ssA(n7,n6)
    & ssA(n7,n4) != ssA(n8,n4)
    & ssA(n7,n4) != ssA(n8,n5)
    & ssA(n7,n4) != ssA(n8,n6)
    & ssA(n7,n4) != ssA(n9,n4)
    & ssA(n7,n4) != ssA(n9,n5)
    & ssA(n7,n4) != ssA(n9,n6)
    & ssA(n7,n5) != ssA(n7,n6)
    & ssA(n7,n5) != ssA(n8,n4)
    & ssA(n7,n5) != ssA(n8,n5)
    & ssA(n7,n5) != ssA(n8,n6)
    & ssA(n7,n5) != ssA(n9,n4)
    & ssA(n7,n5) != ssA(n9,n5)
    & ssA(n7,n5) != ssA(n9,n6)
    & ssA(n7,n6) != ssA(n8,n4)
    & ssA(n7,n6) != ssA(n8,n5)
    & ssA(n7,n6) != ssA(n8,n6)
    & ssA(n7,n6) != ssA(n9,n4)
    & ssA(n7,n6) != ssA(n9,n5)
    & ssA(n7,n6) != ssA(n9,n6)
    & ssA(n8,n4) != ssA(n8,n5)
    & ssA(n8,n4) != ssA(n8,n6)
    & ssA(n8,n4) != ssA(n9,n4)
    & ssA(n8,n4) != ssA(n9,n5)
    & ssA(n8,n4) != ssA(n9,n6)
    & ssA(n8,n5) != ssA(n8,n6)
    & ssA(n8,n5) != ssA(n9,n4)
    & ssA(n8,n5) != ssA(n9,n5)
    & ssA(n8,n5) != ssA(n9,n6)
    & ssA(n8,n6) != ssA(n9,n4)
    & ssA(n8,n6) != ssA(n9,n5)
    & ssA(n8,n6) != ssA(n9,n6)
    & ssA(n9,n4) != ssA(n9,n5)
    & ssA(n9,n4) != ssA(n9,n6)
    & ssA(n9,n5) != ssA(n9,n6) ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax261) ).

fof(ax148,axiom,
    ( ssA(n1,n6) = n7
    | ssA(n2,n6) = n7
    | ssA(n3,n6) = n7
    | ssA(n4,n6) = n7
    | ssA(n5,n6) = n7
    | ssA(n6,n6) = n7
    | ssA(n7,n6) = n7
    | ssA(n8,n6) = n7
    | ssA(n9,n6) = n7 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax148) ).

fof(ax87,axiom,
    ( ssA(n9,n1) = n6
    | ssA(n9,n2) = n6
    | ssA(n9,n3) = n6
    | ssA(n9,n4) = n6
    | ssA(n9,n5) = n6
    | ssA(n9,n6) = n6
    | ssA(n9,n7) = n6
    | ssA(n9,n8) = n6
    | ssA(n9,n9) = n6 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax87) ).

fof(ax5,axiom,
    ( ssA(n1,n1) = n4
    | ssA(n1,n2) = n4
    | ssA(n1,n3) = n4
    | ssA(n1,n4) = n4
    | ssA(n1,n5) = n4
    | ssA(n1,n6) = n4
    | ssA(n1,n7) = n4
    | ssA(n1,n8) = n4
    | ssA(n1,n9) = n4 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax5) ).

fof(ax79,axiom,
    ( ssA(n8,n1) = n8
    | ssA(n8,n2) = n8
    | ssA(n8,n3) = n8
    | ssA(n8,n4) = n8
    | ssA(n8,n5) = n8
    | ssA(n8,n6) = n8
    | ssA(n8,n7) = n8
    | ssA(n8,n8) = n8
    | ssA(n8,n9) = n8 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax79) ).

fof(ax243,axiom,
    ( ssA(n7,n1) = n2
    | ssA(n7,n2) = n2
    | ssA(n7,n3) = n2
    | ssA(n8,n1) = n2
    | ssA(n8,n2) = n2
    | ssA(n8,n3) = n2
    | ssA(n9,n1) = n2
    | ssA(n9,n2) = n2
    | ssA(n9,n3) = n2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax243) ).

fof(ax280,axiom,
    ( ssA(n1,n9) = n1
    | ssA(n1,n9) = n2
    | ssA(n1,n9) = n3
    | ssA(n1,n9) = n4
    | ssA(n1,n9) = n5
    | ssA(n1,n9) = n6
    | ssA(n1,n9) = n7
    | ssA(n1,n9) = n8
    | ssA(n1,n9) = n9 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax280) ).

fof(ax186,axiom,
    ( ssA(n1,n1) = n5
    | ssA(n1,n2) = n5
    | ssA(n1,n3) = n5
    | ssA(n2,n1) = n5
    | ssA(n2,n2) = n5
    | ssA(n2,n3) = n5
    | ssA(n3,n1) = n5
    | ssA(n3,n2) = n5
    | ssA(n3,n3) = n5 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax186) ).

fof(ax107,axiom,
    ( ssA(n1,n2) = n6
    | ssA(n2,n2) = n6
    | ssA(n3,n2) = n6
    | ssA(n4,n2) = n6
    | ssA(n5,n2) = n6
    | ssA(n6,n2) = n6
    | ssA(n7,n2) = n6
    | ssA(n8,n2) = n6
    | ssA(n9,n2) = n6 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax107) ).

fof(ax239,axiom,
    ( ssA(n4,n7) = n8
    | ssA(n4,n8) = n8
    | ssA(n4,n9) = n8
    | ssA(n5,n7) = n8
    | ssA(n5,n8) = n8
    | ssA(n5,n9) = n8
    | ssA(n6,n7) = n8
    | ssA(n6,n8) = n8
    | ssA(n6,n9) = n8 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax239) ).

fof(ax125,axiom,
    ( ssA(n1,n4) = n4
    | ssA(n2,n4) = n4
    | ssA(n3,n4) = n4
    | ssA(n4,n4) = n4
    | ssA(n5,n4) = n4
    | ssA(n6,n4) = n4
    | ssA(n7,n4) = n4
    | ssA(n8,n4) = n4
    | ssA(n9,n4) = n4 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax125) ).

fof(ax198,axiom,
    ( ssA(n1,n4) = n7
    | ssA(n1,n5) = n7
    | ssA(n1,n6) = n7
    | ssA(n2,n4) = n7
    | ssA(n2,n5) = n7
    | ssA(n2,n6) = n7
    | ssA(n3,n4) = n7
    | ssA(n3,n5) = n7
    | ssA(n3,n6) = n7 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax198) ).

fof(ax212,axiom,
    ( ssA(n4,n1) = n1
    | ssA(n4,n2) = n1
    | ssA(n4,n3) = n1
    | ssA(n5,n1) = n1
    | ssA(n5,n2) = n1
    | ssA(n5,n3) = n1
    | ssA(n6,n1) = n1
    | ssA(n6,n2) = n1
    | ssA(n6,n3) = n1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax212) ).

fof(ax337,axiom,
    ( ssA(n8,n3) = n1
    | ssA(n8,n3) = n2
    | ssA(n8,n3) = n3
    | ssA(n8,n3) = n4
    | ssA(n8,n3) = n5
    | ssA(n8,n3) = n6
    | ssA(n8,n3) = n7
    | ssA(n8,n3) = n8
    | ssA(n8,n3) = n9 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax337) ).

fof(ax252,axiom,
    ( ssA(n7,n4) = n1
    | ssA(n7,n5) = n1
    | ssA(n7,n6) = n1
    | ssA(n8,n4) = n1
    | ssA(n8,n5) = n1
    | ssA(n8,n6) = n1
    | ssA(n9,n4) = n1
    | ssA(n9,n5) = n1
    | ssA(n9,n6) = n1 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax252) ).

fof(ax259,axiom,
    ( ssA(n7,n4) = n8
    | ssA(n7,n5) = n8
    | ssA(n7,n6) = n8
    | ssA(n8,n4) = n8
    | ssA(n8,n5) = n8
    | ssA(n8,n6) = n8
    | ssA(n9,n4) = n8
    | ssA(n9,n5) = n8
    | ssA(n9,n6) = n8 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax259) ).

fof(ax83,axiom,
    ( ssA(n9,n1) = n2
    | ssA(n9,n2) = n2
    | ssA(n9,n3) = n2
    | ssA(n9,n4) = n2
    | ssA(n9,n5) = n2
    | ssA(n9,n6) = n2
    | ssA(n9,n7) = n2
    | ssA(n9,n8) = n2
    | ssA(n9,n9) = n2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax83) ).

fof(ax352,axiom,
    ( ssA(n9,n9) = n1
    | ssA(n9,n9) = n2
    | ssA(n9,n9) = n3
    | ssA(n9,n9) = n4
    | ssA(n9,n9) = n5
    | ssA(n9,n9) = n6
    | ssA(n9,n9) = n7
    | ssA(n9,n9) = n8
    | ssA(n9,n9) = n9 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax352) ).

fof(ax55,axiom,
    ( ssA(n6,n1) = n4
    | ssA(n6,n2) = n4
    | ssA(n6,n3) = n4
    | ssA(n6,n4) = n4
    | ssA(n6,n5) = n4
    | ssA(n6,n6) = n4
    | ssA(n6,n7) = n4
    | ssA(n6,n8) = n4
    | ssA(n6,n9) = n4 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax55) ).

fof(ax213,axiom,
    ( ssA(n4,n1) = n2
    | ssA(n4,n2) = n2
    | ssA(n4,n3) = n2
    | ssA(n5,n1) = n2
    | ssA(n5,n2) = n2
    | ssA(n5,n3) = n2
    | ssA(n6,n1) = n2
    | ssA(n6,n2) = n2
    | ssA(n6,n3) = n2 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax213) ).

fof(ax65,axiom,
    ( ssA(n7,n1) = n4
    | ssA(n7,n2) = n4
    | ssA(n7,n3) = n4
    | ssA(n7,n4) = n4
    | ssA(n7,n5) = n4
    | ssA(n7,n6) = n4
    | ssA(n7,n7) = n4
    | ssA(n7,n8) = n4
    | ssA(n7,n9) = n4 ),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax65) ).

fof(ax370,axiom,
    ssP(ssA(n1,n1),ssA(n1,n2),ssA(n1,n3),ssA(n1,n4),ssA(n1,n5),ssA(n1,n6),ssA(n1,n7),ssA(n1,n8),ssA(n1,n9),ssA(n2,n1),ssA(n2,n2),ssA(n2,n3),ssA(n2,n4),ssA(n2,n5),ssA(n2,n6),ssA(n2,n7),ssA(n2,n8),ssA(n2,n9),ssA(n3,n1),ssA(n3,n2),ssA(n3,n3),ssA(n3,n4),ssA(n3,n5),ssA(n3,n6),ssA(n3,n7),ssA(n3,n8),ssA(n3,n9),ssA(n4,n1),ssA(n4,n2),ssA(n4,n3),ssA(n4,n4),ssA(n4,n5),ssA(n4,n6),ssA(n4,n7),ssA(n4,n8),ssA(n4,n9),ssA(n5,n1),ssA(n5,n2),ssA(n5,n3),ssA(n5,n4),ssA(n5,n5),ssA(n5,n6),ssA(n5,n7),ssA(n5,n8),ssA(n5,n9),ssA(n6,n1),ssA(n6,n2),ssA(n6,n3),ssA(n6,n4),ssA(n6,n5),ssA(n6,n6),ssA(n6,n7),ssA(n6,n8),ssA(n6,n9),ssA(n7,n1),ssA(n7,n2),ssA(n7,n3),ssA(n7,n4),ssA(n7,n5),ssA(n7,n6),ssA(n7,n7),ssA(n7,n8),ssA(n7,n9),ssA(n8,n1),ssA(n8,n2),ssA(n8,n3),ssA(n8,n4),ssA(n8,n5),ssA(n8,n6),ssA(n8,n7),ssA(n8,n8),ssA(n8,n9),ssA(n9,n1),ssA(n9,n2),ssA(n9,n3),ssA(n9,n4),ssA(n9,n5),ssA(n9,n6),ssA(n9,n7),ssA(n9,n8),ssA(n9,n9)),
    file('/export/starexec/sandbox/benchmark/Axioms/PUZ005+0.ax',ax370) ).

cnf(c_0_110,plain,
    ( ssA(n1,n1) = n3
    | ssA(n1,n2) = n3
    | ssA(n1,n3) = n3
    | ssA(n1,n4) = n3
    | ssA(n1,n5) = n3
    | ssA(n1,n6) = n3
    | ssA(n1,n7) = n3
    | ssA(n1,n8) = n3
    | ssA(n1,n9) = n3 ),
    inference(split_conjunct,[status(thm)],[ax4]) ).

cnf(c_0_111,plain,
    ssA(n1,n1) = n1,
    inference(split_conjunct,[status(thm)],[ax353]),
    [final] ).

cnf(c_0_112,plain,
    ssA(n1,n3) = n7,
    inference(split_conjunct,[status(thm)],[ax354]),
    [final] ).

cnf(c_0_113,plain,
    ssA(n1,n4) = n6,
    inference(split_conjunct,[status(thm)],[ax355]),
    [final] ).

cnf(c_0_114,plain,
    n1 != n3,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_115,plain,
    n3 != n7,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_116,plain,
    n3 != n6,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_117,plain,
    ssA(n1,n7) != ssA(n3,n7),
    inference(split_conjunct,[status(thm)],[ax161]) ).

cnf(c_0_118,plain,
    ssA(n3,n7) = n3,
    inference(split_conjunct,[status(thm)],[ax359]),
    [final] ).

cnf(c_0_119,plain,
    ssA(n1,n8) != ssA(n3,n7),
    inference(split_conjunct,[status(thm)],[ax211]) ).

cnf(c_0_120,plain,
    ( ssA(n1,n9) = n3
    | ssA(n1,n8) = n3
    | ssA(n1,n7) = n3
    | ssA(n1,n6) = n3
    | ssA(n1,n5) = n3
    | ssA(n1,n2) = n3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_110,c_0_111]),c_0_112]),c_0_113]),c_0_114]),c_0_115]),c_0_116]) ).

cnf(c_0_121,plain,
    ssA(n1,n7) != n3,
    inference(rw,[status(thm)],[c_0_117,c_0_118]) ).

cnf(c_0_122,plain,
    ssA(n1,n8) != n3,
    inference(rw,[status(thm)],[c_0_119,c_0_118]) ).

cnf(c_0_123,plain,
    ssA(n1,n9) != ssA(n3,n7),
    inference(split_conjunct,[status(thm)],[ax211]) ).

cnf(c_0_124,plain,
    ( ssA(n1,n2) = n3
    | ssA(n1,n5) = n3
    | ssA(n1,n6) = n3
    | ssA(n1,n9) = n3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_120,c_0_121]),c_0_122]) ).

cnf(c_0_125,plain,
    ssA(n1,n9) != n3,
    inference(rw,[status(thm)],[c_0_123,c_0_118]) ).

cnf(c_0_126,plain,
    ssA(n1,n6) != ssA(n6,n6),
    inference(split_conjunct,[status(thm)],[ax151]) ).

cnf(c_0_127,plain,
    ssA(n6,n6) = n3,
    inference(split_conjunct,[status(thm)],[ax365]),
    [final] ).

cnf(c_0_128,plain,
    ( ssA(n1,n6) = n3
    | ssA(n1,n5) = n3
    | ssA(n1,n2) = n3 ),
    inference(sr,[status(thm)],[c_0_124,c_0_125]) ).

cnf(c_0_129,plain,
    ssA(n1,n6) != n3,
    inference(rw,[status(thm)],[c_0_126,c_0_127]) ).

cnf(c_0_130,plain,
    ssA(n1,n2) != ssA(n8,n2),
    inference(split_conjunct,[status(thm)],[ax111]) ).

cnf(c_0_131,plain,
    ssA(n8,n2) = n3,
    inference(split_conjunct,[status(thm)],[ax368]),
    [final] ).

cnf(c_0_132,plain,
    ssA(n3,n4) != ssA(n3,n7),
    inference(split_conjunct,[status(thm)],[ax31]) ).

cnf(c_0_133,plain,
    ssA(n5,n4) != ssA(n6,n6),
    inference(split_conjunct,[status(thm)],[ax231]) ).

cnf(c_0_134,plain,
    ssA(n6,n4) != ssA(n6,n6),
    inference(split_conjunct,[status(thm)],[ax61]) ).

cnf(c_0_135,plain,
    ( ssA(n1,n2) = n3
    | ssA(n1,n5) = n3 ),
    inference(sr,[status(thm)],[c_0_128,c_0_129]) ).

cnf(c_0_136,plain,
    ssA(n1,n2) != n3,
    inference(rw,[status(thm)],[c_0_130,c_0_131]) ).

cnf(c_0_137,plain,
    ( ssA(n1,n4) = n3
    | ssA(n2,n4) = n3
    | ssA(n3,n4) = n3
    | ssA(n4,n4) = n3
    | ssA(n5,n4) = n3
    | ssA(n6,n4) = n3
    | ssA(n7,n4) = n3
    | ssA(n8,n4) = n3
    | ssA(n9,n4) = n3 ),
    inference(split_conjunct,[status(thm)],[ax124]) ).

cnf(c_0_138,plain,
    ssA(n4,n4) = n2,
    inference(split_conjunct,[status(thm)],[ax360]),
    [final] ).

cnf(c_0_139,plain,
    ssA(n7,n4) = n7,
    inference(split_conjunct,[status(thm)],[ax366]),
    [final] ).

cnf(c_0_140,plain,
    ssA(n3,n4) != n3,
    inference(rw,[status(thm)],[c_0_132,c_0_118]) ).

cnf(c_0_141,plain,
    n2 != n3,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_142,plain,
    ssA(n5,n4) != n3,
    inference(rw,[status(thm)],[c_0_133,c_0_127]) ).

cnf(c_0_143,plain,
    ssA(n6,n4) != n3,
    inference(rw,[status(thm)],[c_0_134,c_0_127]) ).

cnf(c_0_144,plain,
    ssA(n1,n5) != ssA(n2,n4),
    inference(split_conjunct,[status(thm)],[ax201]) ).

cnf(c_0_145,plain,
    ssA(n1,n5) = n3,
    inference(sr,[status(thm)],[c_0_135,c_0_136]),
    [final] ).

cnf(c_0_146,plain,
    ssA(n3,n3) != ssA(n3,n7),
    inference(split_conjunct,[status(thm)],[ax31]) ).

cnf(c_0_147,plain,
    ( ssA(n1,n1) = n3
    | ssA(n2,n1) = n3
    | ssA(n3,n1) = n3
    | ssA(n4,n1) = n3
    | ssA(n5,n1) = n3
    | ssA(n6,n1) = n3
    | ssA(n7,n1) = n3
    | ssA(n8,n1) = n3
    | ssA(n9,n1) = n3 ),
    inference(split_conjunct,[status(thm)],[ax94]) ).

cnf(c_0_148,plain,
    ssA(n5,n1) = n9,
    inference(split_conjunct,[status(thm)],[ax362]),
    [final] ).

cnf(c_0_149,plain,
    n3 != n9,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_150,plain,
    ssA(n3,n1) != ssA(n3,n7),
    inference(split_conjunct,[status(thm)],[ax31]) ).

cnf(c_0_151,plain,
    ( ssA(n9,n4) = n3
    | ssA(n8,n4) = n3
    | ssA(n2,n4) = n3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_137,c_0_113]),c_0_138]),c_0_139]),c_0_116]),c_0_140]),c_0_141]),c_0_142]),c_0_143]),c_0_115]) ).

cnf(c_0_152,plain,
    ssA(n2,n4) != n3,
    inference(rw,[status(thm)],[c_0_144,c_0_145]) ).

cnf(c_0_153,plain,
    ssA(n8,n2) != ssA(n8,n4),
    inference(split_conjunct,[status(thm)],[ax81]) ).

cnf(c_0_154,plain,
    ( ssA(n1,n3) = n3
    | ssA(n2,n3) = n3
    | ssA(n3,n3) = n3
    | ssA(n4,n3) = n3
    | ssA(n5,n3) = n3
    | ssA(n6,n3) = n3
    | ssA(n7,n3) = n3
    | ssA(n8,n3) = n3
    | ssA(n9,n3) = n3 ),
    inference(split_conjunct,[status(thm)],[ax114]) ).

cnf(c_0_155,plain,
    ssA(n3,n3) != n3,
    inference(rw,[status(thm)],[c_0_146,c_0_118]) ).

cnf(c_0_156,plain,
    ssA(n6,n3) != ssA(n6,n6),
    inference(split_conjunct,[status(thm)],[ax61]) ).

cnf(c_0_157,plain,
    ( ssA(n9,n1) = n3
    | ssA(n8,n1) = n3
    | ssA(n7,n1) = n3
    | ssA(n6,n1) = n3
    | ssA(n4,n1) = n3
    | ssA(n3,n1) = n3
    | ssA(n2,n1) = n3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_147,c_0_111]),c_0_148]),c_0_114]),c_0_149]) ).

cnf(c_0_158,plain,
    ssA(n3,n1) != n3,
    inference(rw,[status(thm)],[c_0_150,c_0_118]) ).

cnf(c_0_159,plain,
    ssA(n6,n1) != ssA(n6,n6),
    inference(split_conjunct,[status(thm)],[ax61]) ).

cnf(c_0_160,plain,
    ( ssA(n8,n4) = n3
    | ssA(n9,n4) = n3 ),
    inference(sr,[status(thm)],[c_0_151,c_0_152]) ).

cnf(c_0_161,plain,
    ssA(n8,n4) != n3,
    inference(rw,[status(thm)],[c_0_153,c_0_131]) ).

cnf(c_0_162,plain,
    ( ssA(n9,n3) = n3
    | ssA(n8,n3) = n3
    | ssA(n7,n3) = n3
    | ssA(n6,n3) = n3
    | ssA(n5,n3) = n3
    | ssA(n4,n3) = n3
    | ssA(n2,n3) = n3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_154,c_0_112]),c_0_115]),c_0_155]) ).

cnf(c_0_163,plain,
    ssA(n6,n3) != n3,
    inference(rw,[status(thm)],[c_0_156,c_0_127]) ).

cnf(c_0_164,plain,
    ssA(n7,n3) != ssA(n8,n2),
    inference(split_conjunct,[status(thm)],[ax251]) ).

cnf(c_0_165,plain,
    ( ssA(n2,n1) = n3
    | ssA(n4,n1) = n3
    | ssA(n6,n1) = n3
    | ssA(n7,n1) = n3
    | ssA(n8,n1) = n3
    | ssA(n9,n1) = n3 ),
    inference(sr,[status(thm)],[c_0_157,c_0_158]) ).

cnf(c_0_166,plain,
    ssA(n6,n1) != n3,
    inference(rw,[status(thm)],[c_0_159,c_0_127]) ).

cnf(c_0_167,plain,
    ssA(n7,n1) != ssA(n8,n2),
    inference(split_conjunct,[status(thm)],[ax251]) ).

cnf(c_0_168,plain,
    ssA(n8,n1) != ssA(n8,n2),
    inference(split_conjunct,[status(thm)],[ax81]) ).

cnf(c_0_169,plain,
    ssA(n2,n8) != ssA(n3,n7),
    inference(split_conjunct,[status(thm)],[ax211]) ).

cnf(c_0_170,plain,
    ssA(n3,n7) != ssA(n3,n8),
    inference(split_conjunct,[status(thm)],[ax31]) ).

cnf(c_0_171,plain,
    ssA(n6,n6) != ssA(n6,n8),
    inference(split_conjunct,[status(thm)],[ax61]) ).

cnf(c_0_172,plain,
    ssA(n8,n2) != ssA(n8,n8),
    inference(split_conjunct,[status(thm)],[ax81]) ).

cnf(c_0_173,plain,
    ssA(n9,n4) != ssA(n9,n8),
    inference(split_conjunct,[status(thm)],[ax91]) ).

cnf(c_0_174,plain,
    ssA(n9,n4) = n3,
    inference(sr,[status(thm)],[c_0_160,c_0_161]),
    [final] ).

cnf(c_0_175,plain,
    ( ssA(n2,n3) = n3
    | ssA(n4,n3) = n3
    | ssA(n5,n3) = n3
    | ssA(n7,n3) = n3
    | ssA(n8,n3) = n3
    | ssA(n9,n3) = n3 ),
    inference(sr,[status(thm)],[c_0_162,c_0_163]) ).

cnf(c_0_176,plain,
    ssA(n7,n3) != n3,
    inference(rw,[status(thm)],[c_0_164,c_0_131]) ).

cnf(c_0_177,plain,
    ssA(n8,n2) != ssA(n8,n3),
    inference(split_conjunct,[status(thm)],[ax81]) ).

cnf(c_0_178,plain,
    ( ssA(n9,n1) = n3
    | ssA(n8,n1) = n3
    | ssA(n7,n1) = n3
    | ssA(n4,n1) = n3
    | ssA(n2,n1) = n3 ),
    inference(sr,[status(thm)],[c_0_165,c_0_166]) ).

cnf(c_0_179,plain,
    ssA(n7,n1) != n3,
    inference(rw,[status(thm)],[c_0_167,c_0_131]) ).

cnf(c_0_180,plain,
    ssA(n8,n1) != n3,
    inference(rw,[status(thm)],[c_0_168,c_0_131]) ).

cnf(c_0_181,plain,
    ssA(n8,n2) != ssA(n9,n1),
    inference(split_conjunct,[status(thm)],[ax251]) ).

cnf(c_0_182,plain,
    ( ssA(n1,n8) = n3
    | ssA(n2,n8) = n3
    | ssA(n3,n8) = n3
    | ssA(n4,n8) = n3
    | ssA(n5,n8) = n3
    | ssA(n6,n8) = n3
    | ssA(n7,n8) = n3
    | ssA(n8,n8) = n3
    | ssA(n9,n8) = n3 ),
    inference(split_conjunct,[status(thm)],[ax164]) ).

cnf(c_0_183,plain,
    ssA(n5,n8) = n6,
    inference(split_conjunct,[status(thm)],[ax363]),
    [final] ).

cnf(c_0_184,plain,
    ssA(n7,n8) = n1,
    inference(split_conjunct,[status(thm)],[ax367]),
    [final] ).

cnf(c_0_185,plain,
    ssA(n2,n8) != n3,
    inference(rw,[status(thm)],[c_0_169,c_0_118]) ).

cnf(c_0_186,plain,
    ssA(n3,n8) != n3,
    inference(rw,[status(thm)],[c_0_170,c_0_118]) ).

cnf(c_0_187,plain,
    ssA(n6,n8) != n3,
    inference(rw,[status(thm)],[c_0_171,c_0_127]) ).

cnf(c_0_188,plain,
    ssA(n8,n8) != n3,
    inference(rw,[status(thm)],[c_0_172,c_0_131]) ).

cnf(c_0_189,plain,
    ssA(n9,n8) != n3,
    inference(rw,[status(thm)],[c_0_173,c_0_174]) ).

cnf(c_0_190,plain,
    ( ssA(n9,n3) = n3
    | ssA(n8,n3) = n3
    | ssA(n5,n3) = n3
    | ssA(n4,n3) = n3
    | ssA(n2,n3) = n3 ),
    inference(sr,[status(thm)],[c_0_175,c_0_176]) ).

cnf(c_0_191,plain,
    ssA(n8,n3) != n3,
    inference(rw,[status(thm)],[c_0_177,c_0_131]) ).

cnf(c_0_192,plain,
    ssA(n8,n2) != ssA(n9,n3),
    inference(split_conjunct,[status(thm)],[ax251]) ).

cnf(c_0_193,plain,
    ( ssA(n2,n1) = n3
    | ssA(n4,n1) = n3
    | ssA(n9,n1) = n3 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_178,c_0_179]),c_0_180]) ).

cnf(c_0_194,plain,
    ssA(n9,n1) != n3,
    inference(rw,[status(thm)],[c_0_181,c_0_131]) ).

cnf(c_0_195,plain,
    ssA(n4,n1) != ssA(n4,n8),
    inference(split_conjunct,[status(thm)],[ax41]) ).

cnf(c_0_196,plain,
    ssA(n4,n8) = n3,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_182,c_0_183]),c_0_184]),c_0_122]),c_0_185]),c_0_186]),c_0_116]),c_0_187]),c_0_114]),c_0_188]),c_0_189]),
    [final] ).

cnf(c_0_197,plain,
    ( ssA(n2,n3) = n3
    | ssA(n4,n3) = n3
    | ssA(n5,n3) = n3
    | ssA(n9,n3) = n3 ),
    inference(sr,[status(thm)],[c_0_190,c_0_191]) ).

cnf(c_0_198,plain,
    ssA(n9,n3) != n3,
    inference(rw,[status(thm)],[c_0_192,c_0_131]) ).

cnf(c_0_199,plain,
    ssA(n4,n3) != ssA(n4,n8),
    inference(split_conjunct,[status(thm)],[ax41]) ).

cnf(c_0_200,plain,
    ( ssA(n4,n1) = n3
    | ssA(n2,n1) = n3 ),
    inference(sr,[status(thm)],[c_0_193,c_0_194]) ).

cnf(c_0_201,plain,
    ssA(n4,n1) != n3,
    inference(rw,[status(thm)],[c_0_195,c_0_196]) ).

cnf(c_0_202,plain,
    ( ssA(n5,n3) = n3
    | ssA(n4,n3) = n3
    | ssA(n2,n3) = n3 ),
    inference(sr,[status(thm)],[c_0_197,c_0_198]) ).

cnf(c_0_203,plain,
    ssA(n4,n3) != n3,
    inference(rw,[status(thm)],[c_0_199,c_0_196]) ).

cnf(c_0_204,plain,
    ssA(n2,n1) != ssA(n2,n3),
    inference(split_conjunct,[status(thm)],[ax21]) ).

cnf(c_0_205,plain,
    ssA(n2,n1) = n3,
    inference(sr,[status(thm)],[c_0_200,c_0_201]),
    [final] ).

cnf(c_0_206,plain,
    ( ssA(n2,n3) = n3
    | ssA(n5,n3) = n3 ),
    inference(sr,[status(thm)],[c_0_202,c_0_203]) ).

cnf(c_0_207,plain,
    ssA(n2,n3) != n3,
    inference(rw,[status(thm)],[c_0_204,c_0_205]) ).

cnf(c_0_208,plain,
    ssA(n3,n2) != ssA(n5,n2),
    inference(split_conjunct,[status(thm)],[ax111]) ).

cnf(c_0_209,plain,
    ssA(n3,n2) = n2,
    inference(split_conjunct,[status(thm)],[ax358]),
    [final] ).

cnf(c_0_210,plain,
    ssA(n4,n4) != ssA(n5,n4),
    inference(split_conjunct,[status(thm)],[ax131]) ).

cnf(c_0_211,plain,
    ssA(n4,n4) != ssA(n5,n5),
    inference(split_conjunct,[status(thm)],[ax231]) ).

cnf(c_0_212,plain,
    ssA(n4,n4) != ssA(n5,n6),
    inference(split_conjunct,[status(thm)],[ax231]) ).

cnf(c_0_213,plain,
    ssA(n5,n7) != ssA(n8,n7),
    inference(split_conjunct,[status(thm)],[ax161]) ).

cnf(c_0_214,plain,
    ssA(n8,n7) = n2,
    inference(split_conjunct,[status(thm)],[ax369]),
    [final] ).

cnf(c_0_215,plain,
    ssA(n1,n7) != ssA(n2,n7),
    inference(split_conjunct,[status(thm)],[ax161]) ).

cnf(c_0_216,plain,
    ssA(n2,n7) = n5,
    inference(split_conjunct,[status(thm)],[ax357]),
    [final] ).

cnf(c_0_217,plain,
    ssA(n1,n8) != ssA(n2,n7),
    inference(split_conjunct,[status(thm)],[ax211]) ).

cnf(c_0_218,plain,
    ssA(n1,n9) != ssA(n2,n7),
    inference(split_conjunct,[status(thm)],[ax211]) ).

cnf(c_0_219,plain,
    ( ssA(n5,n1) = n2
    | ssA(n5,n2) = n2
    | ssA(n5,n3) = n2
    | ssA(n5,n4) = n2
    | ssA(n5,n5) = n2
    | ssA(n5,n6) = n2
    | ssA(n5,n7) = n2
    | ssA(n5,n8) = n2
    | ssA(n5,n9) = n2 ),
    inference(split_conjunct,[status(thm)],[ax43]) ).

cnf(c_0_220,plain,
    ssA(n5,n3) = n3,
    inference(sr,[status(thm)],[c_0_206,c_0_207]),
    [final] ).

cnf(c_0_221,plain,
    n2 != n9,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_222,plain,
    ssA(n5,n2) != n2,
    inference(rw,[status(thm)],[c_0_208,c_0_209]) ).

cnf(c_0_223,plain,
    ssA(n5,n4) != n2,
    inference(rw,[status(thm)],[c_0_210,c_0_138]) ).

cnf(c_0_224,plain,
    ssA(n5,n5) != n2,
    inference(rw,[status(thm)],[c_0_211,c_0_138]) ).

cnf(c_0_225,plain,
    ssA(n5,n6) != n2,
    inference(rw,[status(thm)],[c_0_212,c_0_138]) ).

cnf(c_0_226,plain,
    ssA(n5,n7) != n2,
    inference(rw,[status(thm)],[c_0_213,c_0_214]) ).

cnf(c_0_227,plain,
    n2 != n6,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_228,plain,
    ssA(n5,n4) != ssA(n6,n5),
    inference(split_conjunct,[status(thm)],[ax231]) ).

cnf(c_0_229,plain,
    ssA(n6,n5) = n5,
    inference(split_conjunct,[status(thm)],[ax364]),
    [final] ).

cnf(c_0_230,plain,
    ssA(n5,n5) != ssA(n6,n5),
    inference(split_conjunct,[status(thm)],[ax141]) ).

cnf(c_0_231,plain,
    ssA(n5,n6) != ssA(n6,n5),
    inference(split_conjunct,[status(thm)],[ax231]) ).

cnf(c_0_232,plain,
    ssA(n2,n7) != ssA(n5,n7),
    inference(split_conjunct,[status(thm)],[ax161]) ).

cnf(c_0_233,plain,
    ssA(n2,n4) != ssA(n4,n4),
    inference(split_conjunct,[status(thm)],[ax131]) ).

cnf(c_0_234,plain,
    ssA(n3,n2) != ssA(n3,n4),
    inference(split_conjunct,[status(thm)],[ax31]) ).

cnf(c_0_235,plain,
    ssA(n3,n2) != ssA(n3,n5),
    inference(split_conjunct,[status(thm)],[ax31]) ).

cnf(c_0_236,plain,
    ssA(n3,n2) != ssA(n3,n6),
    inference(split_conjunct,[status(thm)],[ax31]) ).

cnf(c_0_237,plain,
    ( ssA(n1,n1) = n5
    | ssA(n1,n2) = n5
    | ssA(n1,n3) = n5
    | ssA(n1,n4) = n5
    | ssA(n1,n5) = n5
    | ssA(n1,n6) = n5
    | ssA(n1,n7) = n5
    | ssA(n1,n8) = n5
    | ssA(n1,n9) = n5 ),
    inference(split_conjunct,[status(thm)],[ax6]) ).

cnf(c_0_238,plain,
    n1 != n5,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_239,plain,
    n5 != n7,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_240,plain,
    n5 != n6,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_241,plain,
    ssA(n1,n7) != n5,
    inference(rw,[status(thm)],[c_0_215,c_0_216]) ).

cnf(c_0_242,plain,
    ssA(n1,n8) != n5,
    inference(rw,[status(thm)],[c_0_217,c_0_216]) ).

cnf(c_0_243,plain,
    ssA(n1,n9) != n5,
    inference(rw,[status(thm)],[c_0_218,c_0_216]) ).

cnf(c_0_244,plain,
    ssA(n1,n5) != ssA(n6,n5),
    inference(split_conjunct,[status(thm)],[ax141]) ).

cnf(c_0_245,plain,
    ( ssA(n5,n1) = n5
    | ssA(n5,n2) = n5
    | ssA(n5,n3) = n5
    | ssA(n5,n4) = n5
    | ssA(n5,n5) = n5
    | ssA(n5,n6) = n5
    | ssA(n5,n7) = n5
    | ssA(n5,n8) = n5
    | ssA(n5,n9) = n5 ),
    inference(split_conjunct,[status(thm)],[ax46]) ).

cnf(c_0_246,plain,
    ssA(n5,n9) = n2,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_219,c_0_148]),c_0_220]),c_0_183]),c_0_221]),c_0_222]),c_0_141]),c_0_223]),c_0_224]),c_0_225]),c_0_226]),c_0_227]),
    [final] ).

cnf(c_0_247,plain,
    n5 != n9,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_248,plain,
    n3 != n5,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_249,plain,
    ssA(n5,n4) != n5,
    inference(rw,[status(thm)],[c_0_228,c_0_229]) ).

cnf(c_0_250,plain,
    ssA(n5,n5) != n5,
    inference(rw,[status(thm)],[c_0_230,c_0_229]) ).

cnf(c_0_251,plain,
    ssA(n5,n6) != n5,
    inference(rw,[status(thm)],[c_0_231,c_0_229]) ).

cnf(c_0_252,plain,
    ssA(n5,n7) != n5,
    inference(rw,[status(thm)],[c_0_232,c_0_216]) ).

cnf(c_0_253,plain,
    n2 != n5,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_254,plain,
    ssA(n4,n6) != ssA(n6,n5),
    inference(split_conjunct,[status(thm)],[ax231]) ).

cnf(c_0_255,plain,
    ssA(n2,n7) != ssA(n4,n7),
    inference(split_conjunct,[status(thm)],[ax161]) ).

cnf(c_0_256,plain,
    ssA(n4,n1) != ssA(n5,n1),
    inference(split_conjunct,[status(thm)],[ax101]) ).

cnf(c_0_257,plain,
    ssA(n4,n2) != ssA(n5,n1),
    inference(split_conjunct,[status(thm)],[ax221]) ).

cnf(c_0_258,plain,
    ssA(n4,n3) != ssA(n5,n1),
    inference(split_conjunct,[status(thm)],[ax221]) ).

cnf(c_0_259,plain,
    ssA(n1,n4) != ssA(n5,n4),
    inference(split_conjunct,[status(thm)],[ax131]) ).

cnf(c_0_260,plain,
    ssA(n5,n5) != ssA(n5,n8),
    inference(split_conjunct,[status(thm)],[ax51]) ).

cnf(c_0_261,plain,
    ssA(n5,n6) != ssA(n5,n8),
    inference(split_conjunct,[status(thm)],[ax51]) ).

cnf(c_0_262,plain,
    ssA(n1,n4) != ssA(n6,n4),
    inference(split_conjunct,[status(thm)],[ax131]) ).

cnf(c_0_263,plain,
    ( ssA(n1,n4) = n2
    | ssA(n1,n5) = n2
    | ssA(n1,n6) = n2
    | ssA(n2,n4) = n2
    | ssA(n2,n5) = n2
    | ssA(n2,n6) = n2
    | ssA(n3,n4) = n2
    | ssA(n3,n5) = n2
    | ssA(n3,n6) = n2 ),
    inference(split_conjunct,[status(thm)],[ax193]) ).

cnf(c_0_264,plain,
    ssA(n2,n6) = n8,
    inference(split_conjunct,[status(thm)],[ax356]),
    [final] ).

cnf(c_0_265,plain,
    ssA(n2,n4) != n2,
    inference(rw,[status(thm)],[c_0_233,c_0_138]) ).

cnf(c_0_266,plain,
    n2 != n8,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_267,plain,
    ssA(n3,n4) != n2,
    inference(rw,[status(thm)],[c_0_234,c_0_209]) ).

cnf(c_0_268,plain,
    ssA(n3,n5) != n2,
    inference(rw,[status(thm)],[c_0_235,c_0_209]) ).

cnf(c_0_269,plain,
    ssA(n3,n6) != n2,
    inference(rw,[status(thm)],[c_0_236,c_0_209]) ).

cnf(c_0_270,plain,
    ( ssA(n1,n6) = n5
    | ssA(n1,n5) = n5
    | ssA(n1,n2) = n5 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_237,c_0_111]),c_0_112]),c_0_113]),c_0_238]),c_0_239]),c_0_240]),c_0_241]),c_0_242]),c_0_243]) ).

cnf(c_0_271,plain,
    ssA(n1,n5) != n5,
    inference(rw,[status(thm)],[c_0_244,c_0_229]) ).

cnf(c_0_272,plain,
    ssA(n1,n2) != ssA(n5,n2),
    inference(split_conjunct,[status(thm)],[ax111]) ).

cnf(c_0_273,plain,
    ssA(n5,n2) = n5,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_245,c_0_148]),c_0_220]),c_0_183]),c_0_246]),c_0_247]),c_0_248]),c_0_249]),c_0_250]),c_0_251]),c_0_252]),c_0_240]),c_0_253]),
    [final] ).

cnf(c_0_274,plain,
    ( ssA(n4,n1) = n5
    | ssA(n4,n2) = n5
    | ssA(n4,n3) = n5
    | ssA(n4,n4) = n5
    | ssA(n4,n5) = n5
    | ssA(n4,n6) = n5
    | ssA(n4,n7) = n5
    | ssA(n4,n8) = n5
    | ssA(n4,n9) = n5 ),
    inference(split_conjunct,[status(thm)],[ax36]) ).

cnf(c_0_275,plain,
    ssA(n4,n5) = n4,
    inference(split_conjunct,[status(thm)],[ax361]),
    [final] ).

cnf(c_0_276,plain,
    n4 != n5,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_277,plain,
    ssA(n4,n6) != n5,
    inference(rw,[status(thm)],[c_0_254,c_0_229]) ).

cnf(c_0_278,plain,
    ssA(n4,n7) != n5,
    inference(rw,[status(thm)],[c_0_255,c_0_216]) ).

cnf(c_0_279,plain,
    ssA(n4,n3) != ssA(n5,n2),
    inference(split_conjunct,[status(thm)],[ax221]) ).

cnf(c_0_280,plain,
    ssA(n4,n2) != ssA(n5,n2),
    inference(split_conjunct,[status(thm)],[ax111]) ).

cnf(c_0_281,plain,
    ssA(n4,n1) != ssA(n5,n2),
    inference(split_conjunct,[status(thm)],[ax221]) ).

cnf(c_0_282,plain,
    ( ssA(n4,n1) = n9
    | ssA(n4,n2) = n9
    | ssA(n4,n3) = n9
    | ssA(n4,n4) = n9
    | ssA(n4,n5) = n9
    | ssA(n4,n6) = n9
    | ssA(n4,n7) = n9
    | ssA(n4,n8) = n9
    | ssA(n4,n9) = n9 ),
    inference(split_conjunct,[status(thm)],[ax40]) ).

cnf(c_0_283,plain,
    ssA(n4,n1) != n9,
    inference(rw,[status(thm)],[c_0_256,c_0_148]) ).

cnf(c_0_284,plain,
    ssA(n4,n2) != n9,
    inference(rw,[status(thm)],[c_0_257,c_0_148]) ).

cnf(c_0_285,plain,
    ssA(n4,n3) != n9,
    inference(rw,[status(thm)],[c_0_258,c_0_148]) ).

cnf(c_0_286,plain,
    n4 != n9,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_287,plain,
    ( ssA(n4,n4) = n6
    | ssA(n4,n5) = n6
    | ssA(n4,n6) = n6
    | ssA(n5,n4) = n6
    | ssA(n5,n5) = n6
    | ssA(n5,n6) = n6
    | ssA(n6,n4) = n6
    | ssA(n6,n5) = n6
    | ssA(n6,n6) = n6 ),
    inference(split_conjunct,[status(thm)],[ax227]) ).

cnf(c_0_288,plain,
    n4 != n6,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_289,plain,
    ssA(n5,n4) != n6,
    inference(rw,[status(thm)],[c_0_259,c_0_113]) ).

cnf(c_0_290,plain,
    ssA(n5,n5) != n6,
    inference(rw,[status(thm)],[c_0_260,c_0_183]) ).

cnf(c_0_291,plain,
    ssA(n5,n6) != n6,
    inference(rw,[status(thm)],[c_0_261,c_0_183]) ).

cnf(c_0_292,plain,
    ssA(n6,n4) != n6,
    inference(rw,[status(thm)],[c_0_262,c_0_113]) ).

cnf(c_0_293,plain,
    ssA(n4,n5) != ssA(n5,n4),
    inference(split_conjunct,[status(thm)],[ax231]) ).

cnf(c_0_294,plain,
    ssA(n4,n5) != ssA(n5,n5),
    inference(split_conjunct,[status(thm)],[ax141]) ).

cnf(c_0_295,plain,
    ssA(n4,n5) != ssA(n5,n6),
    inference(split_conjunct,[status(thm)],[ax231]) ).

cnf(c_0_296,plain,
    ssA(n1,n3) != ssA(n2,n2),
    inference(split_conjunct,[status(thm)],[ax191]) ).

cnf(c_0_297,plain,
    ssA(n1,n3) != ssA(n2,n3),
    inference(split_conjunct,[status(thm)],[ax121]) ).

cnf(c_0_298,plain,
    ssA(n2,n4) != ssA(n7,n4),
    inference(split_conjunct,[status(thm)],[ax131]) ).

cnf(c_0_299,plain,
    ( ssA(n2,n5) = n2
    | ssA(n1,n6) = n2
    | ssA(n1,n5) = n2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_263,c_0_113]),c_0_264]),c_0_227]),c_0_265]),c_0_266]),c_0_267]),c_0_268]),c_0_269]) ).

cnf(c_0_300,plain,
    ( ssA(n1,n2) = n5
    | ssA(n1,n6) = n5 ),
    inference(sr,[status(thm)],[c_0_270,c_0_271]) ).

cnf(c_0_301,plain,
    ssA(n1,n2) != n5,
    inference(rw,[status(thm)],[c_0_272,c_0_273]) ).

cnf(c_0_302,plain,
    ssA(n1,n1) != ssA(n1,n7),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_303,plain,
    ssA(n1,n1) != ssA(n1,n8),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_304,plain,
    ssA(n1,n1) != ssA(n1,n9),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_305,plain,
    ssA(n2,n8) != ssA(n7,n8),
    inference(split_conjunct,[status(thm)],[ax171]) ).

cnf(c_0_306,plain,
    ssA(n3,n8) != ssA(n7,n8),
    inference(split_conjunct,[status(thm)],[ax171]) ).

cnf(c_0_307,plain,
    ssA(n1,n4) != ssA(n1,n7),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_308,plain,
    ssA(n1,n4) != ssA(n1,n8),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_309,plain,
    ssA(n1,n4) != ssA(n1,n9),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_310,plain,
    ssA(n2,n8) != ssA(n5,n8),
    inference(split_conjunct,[status(thm)],[ax171]) ).

cnf(c_0_311,plain,
    ssA(n3,n8) != ssA(n5,n8),
    inference(split_conjunct,[status(thm)],[ax171]) ).

cnf(c_0_312,plain,
    ssA(n2,n9) != ssA(n3,n7),
    inference(split_conjunct,[status(thm)],[ax211]) ).

cnf(c_0_313,plain,
    ssA(n3,n7) != ssA(n3,n9),
    inference(split_conjunct,[status(thm)],[ax31]) ).

cnf(c_0_314,plain,
    ssA(n4,n8) != ssA(n4,n9),
    inference(split_conjunct,[status(thm)],[ax41]) ).

cnf(c_0_315,plain,
    ssA(n4,n8) != ssA(n5,n9),
    inference(split_conjunct,[status(thm)],[ax241]) ).

cnf(c_0_316,plain,
    ssA(n6,n6) != ssA(n6,n9),
    inference(split_conjunct,[status(thm)],[ax61]) ).

cnf(c_0_317,plain,
    ssA(n8,n2) != ssA(n8,n9),
    inference(split_conjunct,[status(thm)],[ax81]) ).

cnf(c_0_318,plain,
    ssA(n9,n4) != ssA(n9,n9),
    inference(split_conjunct,[status(thm)],[ax91]) ).

cnf(c_0_319,plain,
    ssA(n7,n7) != ssA(n7,n8),
    inference(split_conjunct,[status(thm)],[ax71]) ).

cnf(c_0_320,plain,
    ssA(n7,n8) != ssA(n9,n7),
    inference(split_conjunct,[status(thm)],[ax271]) ).

cnf(c_0_321,plain,
    ( ssA(n4,n9) = n5
    | ssA(n4,n3) = n5
    | ssA(n4,n2) = n5
    | ssA(n4,n1) = n5 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_274,c_0_138]),c_0_275]),c_0_196]),c_0_253]),c_0_276]),c_0_277]),c_0_278]),c_0_248]) ).

cnf(c_0_322,plain,
    ssA(n4,n3) != n5,
    inference(rw,[status(thm)],[c_0_279,c_0_273]) ).

cnf(c_0_323,plain,
    ssA(n4,n2) != n5,
    inference(rw,[status(thm)],[c_0_280,c_0_273]) ).

cnf(c_0_324,plain,
    ssA(n4,n1) != n5,
    inference(rw,[status(thm)],[c_0_281,c_0_273]) ).

cnf(c_0_325,plain,
    ( ssA(n4,n9) = n9
    | ssA(n4,n7) = n9
    | ssA(n4,n6) = n9 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_282,c_0_138]),c_0_275]),c_0_196]),c_0_283]),c_0_284]),c_0_285]),c_0_221]),c_0_286]),c_0_149]) ).

cnf(c_0_326,plain,
    ssA(n4,n6) = n6,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_287,c_0_138]),c_0_275]),c_0_229]),c_0_127]),c_0_227]),c_0_288]),c_0_289]),c_0_290]),c_0_291]),c_0_292]),c_0_240]),c_0_116]),
    [final] ).

cnf(c_0_327,plain,
    n6 != n9,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_328,plain,
    ( ssA(n5,n1) = n4
    | ssA(n5,n2) = n4
    | ssA(n5,n3) = n4
    | ssA(n5,n4) = n4
    | ssA(n5,n5) = n4
    | ssA(n5,n6) = n4
    | ssA(n5,n7) = n4
    | ssA(n5,n8) = n4
    | ssA(n5,n9) = n4 ),
    inference(split_conjunct,[status(thm)],[ax45]) ).

cnf(c_0_329,plain,
    n3 != n4,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_330,plain,
    ssA(n5,n4) != n4,
    inference(rw,[status(thm)],[c_0_293,c_0_275]) ).

cnf(c_0_331,plain,
    ssA(n5,n5) != n4,
    inference(rw,[status(thm)],[c_0_294,c_0_275]) ).

cnf(c_0_332,plain,
    ssA(n5,n6) != n4,
    inference(rw,[status(thm)],[c_0_295,c_0_275]) ).

cnf(c_0_333,plain,
    n2 != n4,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_334,plain,
    ( ssA(n2,n1) = n7
    | ssA(n2,n2) = n7
    | ssA(n2,n3) = n7
    | ssA(n2,n4) = n7
    | ssA(n2,n5) = n7
    | ssA(n2,n6) = n7
    | ssA(n2,n7) = n7
    | ssA(n2,n8) = n7
    | ssA(n2,n9) = n7 ),
    inference(split_conjunct,[status(thm)],[ax18]) ).

cnf(c_0_335,plain,
    ssA(n2,n2) != n7,
    inference(rw,[status(thm)],[c_0_296,c_0_112]) ).

cnf(c_0_336,plain,
    ssA(n2,n3) != n7,
    inference(rw,[status(thm)],[c_0_297,c_0_112]) ).

cnf(c_0_337,plain,
    ssA(n2,n4) != n7,
    inference(rw,[status(thm)],[c_0_298,c_0_139]) ).

cnf(c_0_338,plain,
    n7 != n8,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_339,plain,
    ( ssA(n1,n6) = n2
    | ssA(n2,n5) = n2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_299,c_0_145]),c_0_141]) ).

cnf(c_0_340,plain,
    ssA(n1,n6) = n5,
    inference(sr,[status(thm)],[c_0_300,c_0_301]),
    [final] ).

cnf(c_0_341,plain,
    ( ssA(n1,n7) = n1
    | ssA(n1,n8) = n1
    | ssA(n1,n9) = n1
    | ssA(n2,n7) = n1
    | ssA(n2,n8) = n1
    | ssA(n2,n9) = n1
    | ssA(n3,n7) = n1
    | ssA(n3,n8) = n1
    | ssA(n3,n9) = n1 ),
    inference(split_conjunct,[status(thm)],[ax202]) ).

cnf(c_0_342,plain,
    ssA(n1,n7) != n1,
    inference(rw,[status(thm)],[c_0_302,c_0_111]) ).

cnf(c_0_343,plain,
    ssA(n1,n8) != n1,
    inference(rw,[status(thm)],[c_0_303,c_0_111]) ).

cnf(c_0_344,plain,
    ssA(n1,n9) != n1,
    inference(rw,[status(thm)],[c_0_304,c_0_111]) ).

cnf(c_0_345,plain,
    ssA(n2,n8) != n1,
    inference(rw,[status(thm)],[c_0_305,c_0_184]) ).

cnf(c_0_346,plain,
    ssA(n3,n8) != n1,
    inference(rw,[status(thm)],[c_0_306,c_0_184]) ).

cnf(c_0_347,plain,
    ( ssA(n1,n7) = n6
    | ssA(n1,n8) = n6
    | ssA(n1,n9) = n6
    | ssA(n2,n7) = n6
    | ssA(n2,n8) = n6
    | ssA(n2,n9) = n6
    | ssA(n3,n7) = n6
    | ssA(n3,n8) = n6
    | ssA(n3,n9) = n6 ),
    inference(split_conjunct,[status(thm)],[ax207]) ).

cnf(c_0_348,plain,
    ssA(n1,n7) != n6,
    inference(rw,[status(thm)],[c_0_307,c_0_113]) ).

cnf(c_0_349,plain,
    ssA(n1,n8) != n6,
    inference(rw,[status(thm)],[c_0_308,c_0_113]) ).

cnf(c_0_350,plain,
    ssA(n1,n9) != n6,
    inference(rw,[status(thm)],[c_0_309,c_0_113]) ).

cnf(c_0_351,plain,
    ssA(n2,n8) != n6,
    inference(rw,[status(thm)],[c_0_310,c_0_183]) ).

cnf(c_0_352,plain,
    ssA(n3,n8) != n6,
    inference(rw,[status(thm)],[c_0_311,c_0_183]) ).

cnf(c_0_353,plain,
    ( ssA(n1,n9) = n3
    | ssA(n2,n9) = n3
    | ssA(n3,n9) = n3
    | ssA(n4,n9) = n3
    | ssA(n5,n9) = n3
    | ssA(n6,n9) = n3
    | ssA(n7,n9) = n3
    | ssA(n8,n9) = n3
    | ssA(n9,n9) = n3 ),
    inference(split_conjunct,[status(thm)],[ax174]) ).

cnf(c_0_354,plain,
    ssA(n2,n9) != n3,
    inference(rw,[status(thm)],[c_0_312,c_0_118]) ).

cnf(c_0_355,plain,
    ssA(n3,n9) != n3,
    inference(rw,[status(thm)],[c_0_313,c_0_118]) ).

cnf(c_0_356,plain,
    ssA(n4,n9) != n3,
    inference(rw,[status(thm)],[c_0_314,c_0_196]) ).

cnf(c_0_357,plain,
    ssA(n5,n9) != n3,
    inference(rw,[status(thm)],[c_0_315,c_0_196]) ).

cnf(c_0_358,plain,
    ssA(n6,n9) != n3,
    inference(rw,[status(thm)],[c_0_316,c_0_127]) ).

cnf(c_0_359,plain,
    ssA(n8,n9) != n3,
    inference(rw,[status(thm)],[c_0_317,c_0_131]) ).

cnf(c_0_360,plain,
    ssA(n9,n9) != n3,
    inference(rw,[status(thm)],[c_0_318,c_0_174]) ).

cnf(c_0_361,plain,
    ssA(n1,n3) != ssA(n1,n9),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_362,plain,
    ssA(n1,n3) != ssA(n1,n7),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_363,plain,
    ssA(n7,n4) != ssA(n7,n7),
    inference(split_conjunct,[status(thm)],[ax71]) ).

cnf(c_0_364,plain,
    ( ssA(n1,n7) = n1
    | ssA(n2,n7) = n1
    | ssA(n3,n7) = n1
    | ssA(n4,n7) = n1
    | ssA(n5,n7) = n1
    | ssA(n6,n7) = n1
    | ssA(n7,n7) = n1
    | ssA(n8,n7) = n1
    | ssA(n9,n7) = n1 ),
    inference(split_conjunct,[status(thm)],[ax152]) ).

cnf(c_0_365,plain,
    ssA(n7,n7) != n1,
    inference(rw,[status(thm)],[c_0_319,c_0_184]) ).

cnf(c_0_366,plain,
    n1 != n2,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_367,plain,
    ssA(n9,n7) != n1,
    inference(rw,[status(thm)],[c_0_320,c_0_184]) ).

cnf(c_0_368,plain,
    ssA(n4,n9) = n5,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_321,c_0_322]),c_0_323]),c_0_324]),
    [final] ).

cnf(c_0_369,plain,
    ( ssA(n4,n7) = n9
    | ssA(n4,n9) = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_325,c_0_326]),c_0_327]) ).

cnf(c_0_370,plain,
    ( ssA(n5,n7) = n4
    | ssA(n5,n2) = n4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_328,c_0_148]),c_0_220]),c_0_183]),c_0_246]),c_0_286]),c_0_329]),c_0_330]),c_0_331]),c_0_332]),c_0_288]),c_0_333]) ).

cnf(c_0_371,plain,
    ( ssA(n2,n9) = n7
    | ssA(n2,n8) = n7
    | ssA(n2,n5) = n7 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_334,c_0_205]),c_0_264]),c_0_216]),c_0_115]),c_0_335]),c_0_336]),c_0_337]),c_0_338]),c_0_239]) ).

cnf(c_0_372,plain,
    ssA(n2,n5) = n2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_339,c_0_340]),c_0_253]),
    [final] ).

cnf(c_0_373,plain,
    n2 != n7,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_374,plain,
    ( ssA(n3,n9) = n1
    | ssA(n2,n9) = n1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_341,c_0_216]),c_0_118]),c_0_342]),c_0_343]),c_0_344]),c_0_238]),c_0_345]),c_0_114]),c_0_346]) ).

cnf(c_0_375,plain,
    ( ssA(n3,n9) = n6
    | ssA(n2,n9) = n6 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_347,c_0_216]),c_0_118]),c_0_348]),c_0_349]),c_0_350]),c_0_240]),c_0_351]),c_0_116]),c_0_352]) ).

cnf(c_0_376,plain,
    n1 != n6,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_377,plain,
    ssA(n1,n2) != ssA(n1,n3),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_378,plain,
    ( ssA(n1,n9) = n7
    | ssA(n2,n9) = n7
    | ssA(n3,n9) = n7
    | ssA(n4,n9) = n7
    | ssA(n5,n9) = n7
    | ssA(n6,n9) = n7
    | ssA(n7,n9) = n7
    | ssA(n8,n9) = n7
    | ssA(n9,n9) = n7 ),
    inference(split_conjunct,[status(thm)],[ax178]) ).

cnf(c_0_379,plain,
    ssA(n7,n9) = n3,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_353,c_0_125]),c_0_354]),c_0_355]),c_0_356]),c_0_357]),c_0_358]),c_0_359]),c_0_360]),
    [final] ).

cnf(c_0_380,plain,
    ssA(n1,n9) != n7,
    inference(rw,[status(thm)],[c_0_361,c_0_112]) ).

cnf(c_0_381,plain,
    ( ssA(n1,n7) = n7
    | ssA(n2,n7) = n7
    | ssA(n3,n7) = n7
    | ssA(n4,n7) = n7
    | ssA(n5,n7) = n7
    | ssA(n6,n7) = n7
    | ssA(n7,n7) = n7
    | ssA(n8,n7) = n7
    | ssA(n9,n7) = n7 ),
    inference(split_conjunct,[status(thm)],[ax158]) ).

cnf(c_0_382,plain,
    ssA(n1,n7) != n7,
    inference(rw,[status(thm)],[c_0_362,c_0_112]) ).

cnf(c_0_383,plain,
    ssA(n7,n7) != n7,
    inference(rw,[status(thm)],[c_0_363,c_0_139]) ).

cnf(c_0_384,plain,
    ( ssA(n6,n7) = n1
    | ssA(n5,n7) = n1
    | ssA(n4,n7) = n1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_364,c_0_216]),c_0_118]),c_0_214]),c_0_342]),c_0_238]),c_0_114]),c_0_365]),c_0_366]),c_0_367]) ).

cnf(c_0_385,plain,
    ssA(n4,n7) = n9,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_368,c_0_369]),c_0_247]),
    [final] ).

cnf(c_0_386,plain,
    n1 != n9,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_387,plain,
    ssA(n5,n7) = n4,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_273,c_0_370]),c_0_276]),
    [final] ).

cnf(c_0_388,plain,
    n1 != n4,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_389,plain,
    ( ssA(n2,n8) = n7
    | ssA(n2,n9) = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_371,c_0_372]),c_0_373]) ).

cnf(c_0_390,plain,
    ( ssA(n2,n9) = n6
    | ssA(n2,n9) = n1 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_374,c_0_375]),c_0_376]) ).

cnf(c_0_391,plain,
    n6 != n7,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_392,plain,
    ( ssA(n1,n2) = n7
    | ssA(n2,n2) = n7
    | ssA(n3,n2) = n7
    | ssA(n4,n2) = n7
    | ssA(n5,n2) = n7
    | ssA(n6,n2) = n7
    | ssA(n7,n2) = n7
    | ssA(n8,n2) = n7
    | ssA(n9,n2) = n7 ),
    inference(split_conjunct,[status(thm)],[ax108]) ).

cnf(c_0_393,plain,
    ssA(n1,n2) != n7,
    inference(rw,[status(thm)],[c_0_377,c_0_112]) ).

cnf(c_0_394,plain,
    ssA(n7,n2) != ssA(n7,n4),
    inference(split_conjunct,[status(thm)],[ax71]) ).

cnf(c_0_395,plain,
    ( ssA(n9,n9) = n7
    | ssA(n8,n9) = n7
    | ssA(n6,n9) = n7
    | ssA(n5,n9) = n7
    | ssA(n4,n9) = n7
    | ssA(n3,n9) = n7
    | ssA(n2,n9) = n7 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_378,c_0_379]),c_0_380]),c_0_115]) ).

cnf(c_0_396,plain,
    ( ssA(n9,n7) = n7
    | ssA(n6,n7) = n7
    | ssA(n5,n7) = n7
    | ssA(n4,n7) = n7 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_381,c_0_216]),c_0_118]),c_0_214]),c_0_382]),c_0_239]),c_0_115]),c_0_383]),c_0_373]) ).

cnf(c_0_397,plain,
    ssA(n6,n7) = n1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_384,c_0_385]),c_0_386]),c_0_387]),c_0_388]),
    [final] ).

cnf(c_0_398,plain,
    n1 != n7,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_399,plain,
    n4 != n7,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_400,plain,
    n7 != n9,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_401,plain,
    ( ssA(n2,n9) = n1
    | ssA(n2,n8) = n7 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_390]),c_0_391]) ).

cnf(c_0_402,plain,
    ssA(n2,n4) != ssA(n2,n7),
    inference(split_conjunct,[status(thm)],[ax21]) ).

cnf(c_0_403,plain,
    ssA(n6,n4) != ssA(n6,n5),
    inference(split_conjunct,[status(thm)],[ax61]) ).

cnf(c_0_404,plain,
    ( ssA(n9,n2) = n7
    | ssA(n7,n2) = n7
    | ssA(n6,n2) = n7
    | ssA(n5,n2) = n7
    | ssA(n4,n2) = n7 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_392,c_0_209]),c_0_131]),c_0_393]),c_0_335]),c_0_373]),c_0_115]) ).

cnf(c_0_405,plain,
    ssA(n7,n2) != n7,
    inference(rw,[status(thm)],[c_0_394,c_0_139]) ).

cnf(c_0_406,plain,
    ( ssA(n2,n9) = n7
    | ssA(n3,n9) = n7
    | ssA(n4,n9) = n7
    | ssA(n6,n9) = n7
    | ssA(n8,n9) = n7
    | ssA(n9,n9) = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_395,c_0_246]),c_0_373]) ).

cnf(c_0_407,plain,
    ssA(n9,n7) != ssA(n9,n9),
    inference(split_conjunct,[status(thm)],[ax91]) ).

cnf(c_0_408,plain,
    ssA(n9,n7) = n7,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_396,c_0_397]),c_0_387]),c_0_385]),c_0_398]),c_0_399]),c_0_400]),
    [final] ).

cnf(c_0_409,plain,
    ssA(n8,n9) != ssA(n9,n7),
    inference(split_conjunct,[status(thm)],[ax271]) ).

cnf(c_0_410,plain,
    ssA(n2,n8) != ssA(n3,n9),
    inference(split_conjunct,[status(thm)],[ax211]) ).

cnf(c_0_411,plain,
    ssA(n2,n8) = n7,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_389,c_0_401]),c_0_398]),
    [final] ).

cnf(c_0_412,plain,
    ssA(n2,n8) != ssA(n2,n9),
    inference(split_conjunct,[status(thm)],[ax21]) ).

cnf(c_0_413,plain,
    ( ssA(n1,n4) = n5
    | ssA(n2,n4) = n5
    | ssA(n3,n4) = n5
    | ssA(n4,n4) = n5
    | ssA(n5,n4) = n5
    | ssA(n6,n4) = n5
    | ssA(n7,n4) = n5
    | ssA(n8,n4) = n5
    | ssA(n9,n4) = n5 ),
    inference(split_conjunct,[status(thm)],[ax126]) ).

cnf(c_0_414,plain,
    ssA(n2,n4) != n5,
    inference(rw,[status(thm)],[c_0_402,c_0_216]) ).

cnf(c_0_415,plain,
    ssA(n6,n4) != n5,
    inference(rw,[status(thm)],[c_0_403,c_0_229]) ).

cnf(c_0_416,plain,
    ssA(n1,n6) != ssA(n3,n4),
    inference(split_conjunct,[status(thm)],[ax201]) ).

cnf(c_0_417,plain,
    ssA(n1,n1) != ssA(n4,n1),
    inference(split_conjunct,[status(thm)],[ax101]) ).

cnf(c_0_418,plain,
    ssA(n4,n1) != ssA(n4,n4),
    inference(split_conjunct,[status(thm)],[ax41]) ).

cnf(c_0_419,plain,
    ssA(n4,n1) != ssA(n4,n5),
    inference(split_conjunct,[status(thm)],[ax41]) ).

cnf(c_0_420,plain,
    ( ssA(n4,n2) = n7
    | ssA(n5,n2) = n7
    | ssA(n6,n2) = n7
    | ssA(n9,n2) = n7 ),
    inference(sr,[status(thm)],[c_0_404,c_0_405]) ).

cnf(c_0_421,plain,
    ssA(n9,n2) != ssA(n9,n7),
    inference(split_conjunct,[status(thm)],[ax91]) ).

cnf(c_0_422,plain,
    ( ssA(n9,n9) = n7
    | ssA(n8,n9) = n7
    | ssA(n6,n9) = n7
    | ssA(n3,n9) = n7
    | ssA(n2,n9) = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_406,c_0_368]),c_0_239]) ).

cnf(c_0_423,plain,
    ssA(n9,n9) != n7,
    inference(rw,[status(thm)],[c_0_407,c_0_408]) ).

cnf(c_0_424,plain,
    ssA(n8,n9) != n7,
    inference(rw,[status(thm)],[c_0_409,c_0_408]) ).

cnf(c_0_425,plain,
    ssA(n3,n9) != n7,
    inference(rw,[status(thm)],[c_0_410,c_0_411]) ).

cnf(c_0_426,plain,
    ssA(n2,n9) != n7,
    inference(rw,[status(thm)],[c_0_412,c_0_411]) ).

cnf(c_0_427,plain,
    ssA(n1,n1) != ssA(n1,n2),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_428,plain,
    ssA(n1,n1) != ssA(n2,n2),
    inference(split_conjunct,[status(thm)],[ax191]) ).

cnf(c_0_429,plain,
    ssA(n2,n3) != ssA(n2,n7),
    inference(split_conjunct,[status(thm)],[ax21]) ).

cnf(c_0_430,plain,
    ssA(n6,n3) != ssA(n6,n5),
    inference(split_conjunct,[status(thm)],[ax61]) ).

cnf(c_0_431,plain,
    ssA(n2,n7) != ssA(n2,n8),
    inference(split_conjunct,[status(thm)],[ax21]) ).

cnf(c_0_432,plain,
    ssA(n2,n7) != ssA(n3,n8),
    inference(split_conjunct,[status(thm)],[ax211]) ).

cnf(c_0_433,plain,
    ssA(n6,n5) != ssA(n6,n8),
    inference(split_conjunct,[status(thm)],[ax61]) ).

cnf(c_0_434,plain,
    ( ssA(n9,n4) = n5
    | ssA(n8,n4) = n5
    | ssA(n3,n4) = n5 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_413,c_0_113]),c_0_138]),c_0_139]),c_0_240]),c_0_414]),c_0_253]),c_0_249]),c_0_415]),c_0_239]) ).

cnf(c_0_435,plain,
    ssA(n3,n4) != n5,
    inference(rw,[status(thm)],[c_0_416,c_0_340]) ).

cnf(c_0_436,plain,
    ssA(n1,n7) != ssA(n8,n7),
    inference(split_conjunct,[status(thm)],[ax161]) ).

cnf(c_0_437,plain,
    ( ssA(n4,n1) = n1
    | ssA(n4,n1) = n2
    | ssA(n4,n1) = n3
    | ssA(n4,n1) = n4
    | ssA(n4,n1) = n5
    | ssA(n4,n1) = n6
    | ssA(n4,n1) = n7
    | ssA(n4,n1) = n8
    | ssA(n4,n1) = n9 ),
    inference(split_conjunct,[status(thm)],[ax299]) ).

cnf(c_0_438,plain,
    ssA(n4,n1) != n1,
    inference(rw,[status(thm)],[c_0_417,c_0_111]) ).

cnf(c_0_439,plain,
    ssA(n4,n1) != n2,
    inference(rw,[status(thm)],[c_0_418,c_0_138]) ).

cnf(c_0_440,plain,
    ssA(n4,n1) != n4,
    inference(rw,[status(thm)],[c_0_419,c_0_275]) ).

cnf(c_0_441,plain,
    ssA(n4,n1) != ssA(n4,n6),
    inference(split_conjunct,[status(thm)],[ax41]) ).

cnf(c_0_442,plain,
    ( ssA(n9,n2) = n7
    | ssA(n6,n2) = n7
    | ssA(n4,n2) = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_420,c_0_273]),c_0_239]) ).

cnf(c_0_443,plain,
    ssA(n9,n2) != n7,
    inference(rw,[status(thm)],[c_0_421,c_0_408]) ).

cnf(c_0_444,plain,
    ssA(n6,n2) != ssA(n6,n9),
    inference(split_conjunct,[status(thm)],[ax61]) ).

cnf(c_0_445,plain,
    ssA(n6,n9) = n7,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_422,c_0_423]),c_0_424]),c_0_425]),c_0_426]),
    [final] ).

cnf(c_0_446,plain,
    ( ssA(n1,n2) = n1
    | ssA(n2,n2) = n1
    | ssA(n3,n2) = n1
    | ssA(n4,n2) = n1
    | ssA(n5,n2) = n1
    | ssA(n6,n2) = n1
    | ssA(n7,n2) = n1
    | ssA(n8,n2) = n1
    | ssA(n9,n2) = n1 ),
    inference(split_conjunct,[status(thm)],[ax102]) ).

cnf(c_0_447,plain,
    ssA(n1,n2) != n1,
    inference(rw,[status(thm)],[c_0_427,c_0_111]) ).

cnf(c_0_448,plain,
    ssA(n2,n2) != n1,
    inference(rw,[status(thm)],[c_0_428,c_0_111]) ).

cnf(c_0_449,plain,
    ssA(n7,n2) != ssA(n7,n8),
    inference(split_conjunct,[status(thm)],[ax71]) ).

cnf(c_0_450,plain,
    ( ssA(n1,n3) = n5
    | ssA(n2,n3) = n5
    | ssA(n3,n3) = n5
    | ssA(n4,n3) = n5
    | ssA(n5,n3) = n5
    | ssA(n6,n3) = n5
    | ssA(n7,n3) = n5
    | ssA(n8,n3) = n5
    | ssA(n9,n3) = n5 ),
    inference(split_conjunct,[status(thm)],[ax116]) ).

cnf(c_0_451,plain,
    ssA(n2,n3) != n5,
    inference(rw,[status(thm)],[c_0_429,c_0_216]) ).

cnf(c_0_452,plain,
    ssA(n6,n3) != n5,
    inference(rw,[status(thm)],[c_0_430,c_0_229]) ).

cnf(c_0_453,plain,
    ( ssA(n1,n8) = n5
    | ssA(n2,n8) = n5
    | ssA(n3,n8) = n5
    | ssA(n4,n8) = n5
    | ssA(n5,n8) = n5
    | ssA(n6,n8) = n5
    | ssA(n7,n8) = n5
    | ssA(n8,n8) = n5
    | ssA(n9,n8) = n5 ),
    inference(split_conjunct,[status(thm)],[ax166]) ).

cnf(c_0_454,plain,
    ssA(n2,n8) != n5,
    inference(rw,[status(thm)],[c_0_431,c_0_216]) ).

cnf(c_0_455,plain,
    ssA(n3,n8) != n5,
    inference(rw,[status(thm)],[c_0_432,c_0_216]) ).

cnf(c_0_456,plain,
    ssA(n6,n8) != n5,
    inference(rw,[status(thm)],[c_0_433,c_0_229]) ).

cnf(c_0_457,plain,
    ssA(n8,n4) != ssA(n8,n8),
    inference(split_conjunct,[status(thm)],[ax81]) ).

cnf(c_0_458,plain,
    ssA(n8,n4) = n5,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_434,c_0_435]),c_0_174]),c_0_248]),
    [final] ).

cnf(c_0_459,plain,
    ( ssA(n1,n7) = n1
    | ssA(n1,n7) = n2
    | ssA(n1,n7) = n3
    | ssA(n1,n7) = n4
    | ssA(n1,n7) = n5
    | ssA(n1,n7) = n6
    | ssA(n1,n7) = n7
    | ssA(n1,n7) = n8
    | ssA(n1,n7) = n9 ),
    inference(split_conjunct,[status(thm)],[ax278]) ).

cnf(c_0_460,plain,
    ssA(n1,n7) != n2,
    inference(rw,[status(thm)],[c_0_436,c_0_214]) ).

cnf(c_0_461,plain,
    ssA(n1,n7) != ssA(n4,n7),
    inference(split_conjunct,[status(thm)],[ax161]) ).

cnf(c_0_462,plain,
    ssA(n1,n7) != ssA(n5,n7),
    inference(split_conjunct,[status(thm)],[ax161]) ).

cnf(c_0_463,plain,
    ( ssA(n4,n1) = n8
    | ssA(n4,n1) = n7
    | ssA(n4,n1) = n6
    | ssA(n4,n1) = n5 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_437,c_0_438]),c_0_439]),c_0_201]),c_0_440]),c_0_283]) ).

cnf(c_0_464,plain,
    ssA(n4,n1) != n6,
    inference(rw,[status(thm)],[c_0_441,c_0_326]) ).

cnf(c_0_465,plain,
    ( ssA(n4,n2) = n7
    | ssA(n6,n2) = n7 ),
    inference(sr,[status(thm)],[c_0_442,c_0_443]) ).

cnf(c_0_466,plain,
    ssA(n6,n2) != n7,
    inference(rw,[status(thm)],[c_0_444,c_0_445]) ).

cnf(c_0_467,plain,
    ( ssA(n9,n2) = n1
    | ssA(n7,n2) = n1
    | ssA(n6,n2) = n1
    | ssA(n5,n2) = n1
    | ssA(n4,n2) = n1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_446,c_0_209]),c_0_131]),c_0_447]),c_0_448]),c_0_366]),c_0_114]) ).

cnf(c_0_468,plain,
    ssA(n7,n2) != n1,
    inference(rw,[status(thm)],[c_0_449,c_0_184]) ).

cnf(c_0_469,plain,
    ( ssA(n9,n3) = n5
    | ssA(n8,n3) = n5
    | ssA(n7,n3) = n5
    | ssA(n5,n3) = n5
    | ssA(n4,n3) = n5
    | ssA(n3,n3) = n5 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_450,c_0_112]),c_0_239]),c_0_451]),c_0_452]) ).

cnf(c_0_470,plain,
    ( ssA(n9,n8) = n5
    | ssA(n8,n8) = n5 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_453,c_0_196]),c_0_183]),c_0_184]),c_0_242]),c_0_454]),c_0_455]),c_0_248]),c_0_240]),c_0_456]),c_0_238]) ).

cnf(c_0_471,plain,
    ssA(n8,n8) != n5,
    inference(rw,[status(thm)],[c_0_457,c_0_458]) ).

cnf(c_0_472,plain,
    ssA(n2,n6) != ssA(n3,n4),
    inference(split_conjunct,[status(thm)],[ax201]) ).

cnf(c_0_473,plain,
    ssA(n2,n6) != ssA(n3,n5),
    inference(split_conjunct,[status(thm)],[ax201]) ).

cnf(c_0_474,plain,
    ssA(n2,n6) != ssA(n3,n6),
    inference(split_conjunct,[status(thm)],[ax151]) ).

cnf(c_0_475,plain,
    ( ssA(n1,n7) = n9
    | ssA(n1,n7) = n8
    | ssA(n1,n7) = n4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_459,c_0_342]),c_0_460]),c_0_121]),c_0_241]),c_0_348]),c_0_382]) ).

cnf(c_0_476,plain,
    ssA(n1,n7) != n9,
    inference(rw,[status(thm)],[c_0_461,c_0_385]) ).

cnf(c_0_477,plain,
    ssA(n1,n7) != n4,
    inference(rw,[status(thm)],[c_0_462,c_0_387]) ).

cnf(c_0_478,plain,
    ( ssA(n4,n1) = n5
    | ssA(n4,n1) = n7
    | ssA(n4,n1) = n8 ),
    inference(sr,[status(thm)],[c_0_463,c_0_464]) ).

cnf(c_0_479,plain,
    ssA(n4,n1) != ssA(n4,n2),
    inference(split_conjunct,[status(thm)],[ax41]) ).

cnf(c_0_480,plain,
    ssA(n4,n2) = n7,
    inference(sr,[status(thm)],[c_0_465,c_0_466]),
    [final] ).

cnf(c_0_481,plain,
    ( ssA(n4,n2) = n1
    | ssA(n5,n2) = n1
    | ssA(n6,n2) = n1
    | ssA(n9,n2) = n1 ),
    inference(sr,[status(thm)],[c_0_467,c_0_468]) ).

cnf(c_0_482,plain,
    ssA(n6,n2) != ssA(n6,n7),
    inference(split_conjunct,[status(thm)],[ax61]) ).

cnf(c_0_483,plain,
    ( ssA(n3,n3) = n5
    | ssA(n4,n3) = n5
    | ssA(n7,n3) = n5
    | ssA(n8,n3) = n5
    | ssA(n9,n3) = n5 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_469,c_0_220]),c_0_248]) ).

cnf(c_0_484,plain,
    ssA(n8,n3) != ssA(n8,n4),
    inference(split_conjunct,[status(thm)],[ax81]) ).

cnf(c_0_485,plain,
    ssA(n9,n3) != ssA(n9,n8),
    inference(split_conjunct,[status(thm)],[ax91]) ).

cnf(c_0_486,plain,
    ssA(n9,n8) = n5,
    inference(sr,[status(thm)],[c_0_470,c_0_471]),
    [final] ).

cnf(c_0_487,plain,
    ( ssA(n3,n1) = n8
    | ssA(n3,n2) = n8
    | ssA(n3,n3) = n8
    | ssA(n3,n4) = n8
    | ssA(n3,n5) = n8
    | ssA(n3,n6) = n8
    | ssA(n3,n7) = n8
    | ssA(n3,n8) = n8
    | ssA(n3,n9) = n8 ),
    inference(split_conjunct,[status(thm)],[ax29]) ).

cnf(c_0_488,plain,
    ssA(n3,n4) != n8,
    inference(rw,[status(thm)],[c_0_472,c_0_264]) ).

cnf(c_0_489,plain,
    ssA(n3,n5) != n8,
    inference(rw,[status(thm)],[c_0_473,c_0_264]) ).

cnf(c_0_490,plain,
    ssA(n3,n6) != n8,
    inference(rw,[status(thm)],[c_0_474,c_0_264]) ).

cnf(c_0_491,plain,
    n3 != n8,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_492,plain,
    ssA(n1,n7) != ssA(n3,n9),
    inference(split_conjunct,[status(thm)],[ax211]) ).

cnf(c_0_493,plain,
    ssA(n1,n7) = n8,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_475,c_0_476]),c_0_477]),
    [final] ).

cnf(c_0_494,plain,
    ssA(n1,n7) != ssA(n3,n8),
    inference(split_conjunct,[status(thm)],[ax211]) ).

cnf(c_0_495,plain,
    ( ssA(n4,n1) = n8
    | ssA(n4,n1) = n7 ),
    inference(sr,[status(thm)],[c_0_478,c_0_324]) ).

cnf(c_0_496,plain,
    ssA(n4,n1) != n7,
    inference(rw,[status(thm)],[c_0_479,c_0_480]) ).

cnf(c_0_497,plain,
    ( ssA(n1,n1) = n2
    | ssA(n1,n2) = n2
    | ssA(n1,n3) = n2
    | ssA(n1,n4) = n2
    | ssA(n1,n5) = n2
    | ssA(n1,n6) = n2
    | ssA(n1,n7) = n2
    | ssA(n1,n8) = n2
    | ssA(n1,n9) = n2 ),
    inference(split_conjunct,[status(thm)],[ax3]) ).

cnf(c_0_498,plain,
    ssA(n1,n2) != ssA(n3,n2),
    inference(split_conjunct,[status(thm)],[ax111]) ).

cnf(c_0_499,plain,
    ssA(n5,n1) != ssA(n5,n4),
    inference(split_conjunct,[status(thm)],[ax51]) ).

cnf(c_0_500,plain,
    ssA(n5,n1) != ssA(n5,n5),
    inference(split_conjunct,[status(thm)],[ax51]) ).

cnf(c_0_501,plain,
    ssA(n5,n1) != ssA(n5,n6),
    inference(split_conjunct,[status(thm)],[ax51]) ).

cnf(c_0_502,plain,
    ssA(n7,n1) != ssA(n7,n4),
    inference(split_conjunct,[status(thm)],[ax71]) ).

cnf(c_0_503,plain,
    ssA(n1,n3) != ssA(n7,n3),
    inference(split_conjunct,[status(thm)],[ax121]) ).

cnf(c_0_504,plain,
    ssA(n1,n3) != ssA(n8,n3),
    inference(split_conjunct,[status(thm)],[ax121]) ).

cnf(c_0_505,plain,
    ssA(n1,n3) != ssA(n9,n3),
    inference(split_conjunct,[status(thm)],[ax121]) ).

cnf(c_0_506,plain,
    ( ssA(n9,n2) = n1
    | ssA(n6,n2) = n1
    | ssA(n4,n2) = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_481,c_0_273]),c_0_238]) ).

cnf(c_0_507,plain,
    ssA(n6,n2) != n1,
    inference(rw,[status(thm)],[c_0_482,c_0_397]) ).

cnf(c_0_508,plain,
    ( ssA(n9,n3) = n5
    | ssA(n8,n3) = n5
    | ssA(n7,n3) = n5
    | ssA(n3,n3) = n5 ),
    inference(sr,[status(thm)],[c_0_483,c_0_322]) ).

cnf(c_0_509,plain,
    ssA(n8,n3) != n5,
    inference(rw,[status(thm)],[c_0_484,c_0_458]) ).

cnf(c_0_510,plain,
    ssA(n9,n3) != n5,
    inference(rw,[status(thm)],[c_0_485,c_0_486]) ).

cnf(c_0_511,plain,
    ( ssA(n3,n9) = n8
    | ssA(n3,n8) = n8
    | ssA(n3,n3) = n8
    | ssA(n3,n1) = n8 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_487,c_0_209]),c_0_118]),c_0_266]),c_0_488]),c_0_489]),c_0_490]),c_0_491]) ).

cnf(c_0_512,plain,
    ssA(n3,n9) != n8,
    inference(rw,[status(thm)],[c_0_492,c_0_493]) ).

cnf(c_0_513,plain,
    ssA(n3,n8) != n8,
    inference(rw,[status(thm)],[c_0_494,c_0_493]) ).

cnf(c_0_514,plain,
    ssA(n3,n1) != ssA(n4,n1),
    inference(split_conjunct,[status(thm)],[ax101]) ).

cnf(c_0_515,plain,
    ssA(n4,n1) = n8,
    inference(sr,[status(thm)],[c_0_495,c_0_496]),
    [final] ).

cnf(c_0_516,plain,
    ( ssA(n1,n9) = n2
    | ssA(n1,n8) = n2
    | ssA(n1,n7) = n2
    | ssA(n1,n6) = n2
    | ssA(n1,n5) = n2
    | ssA(n1,n2) = n2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_497,c_0_111]),c_0_112]),c_0_113]),c_0_366]),c_0_373]),c_0_227]) ).

cnf(c_0_517,plain,
    ssA(n1,n2) != n2,
    inference(rw,[status(thm)],[c_0_498,c_0_209]) ).

cnf(c_0_518,plain,
    ( ssA(n4,n4) = n9
    | ssA(n4,n5) = n9
    | ssA(n4,n6) = n9
    | ssA(n5,n4) = n9
    | ssA(n5,n5) = n9
    | ssA(n5,n6) = n9
    | ssA(n6,n4) = n9
    | ssA(n6,n5) = n9
    | ssA(n6,n6) = n9 ),
    inference(split_conjunct,[status(thm)],[ax230]) ).

cnf(c_0_519,plain,
    ssA(n5,n4) != n9,
    inference(rw,[status(thm)],[c_0_499,c_0_148]) ).

cnf(c_0_520,plain,
    ssA(n5,n5) != n9,
    inference(rw,[status(thm)],[c_0_500,c_0_148]) ).

cnf(c_0_521,plain,
    ssA(n5,n6) != n9,
    inference(rw,[status(thm)],[c_0_501,c_0_148]) ).

cnf(c_0_522,plain,
    ( ssA(n7,n1) = n7
    | ssA(n7,n2) = n7
    | ssA(n7,n3) = n7
    | ssA(n8,n1) = n7
    | ssA(n8,n2) = n7
    | ssA(n8,n3) = n7
    | ssA(n9,n1) = n7
    | ssA(n9,n2) = n7
    | ssA(n9,n3) = n7 ),
    inference(split_conjunct,[status(thm)],[ax248]) ).

cnf(c_0_523,plain,
    ssA(n7,n1) != n7,
    inference(rw,[status(thm)],[c_0_502,c_0_139]) ).

cnf(c_0_524,plain,
    ssA(n7,n3) != n7,
    inference(rw,[status(thm)],[c_0_503,c_0_112]) ).

cnf(c_0_525,plain,
    ssA(n8,n3) != n7,
    inference(rw,[status(thm)],[c_0_504,c_0_112]) ).

cnf(c_0_526,plain,
    ssA(n9,n3) != n7,
    inference(rw,[status(thm)],[c_0_505,c_0_112]) ).

cnf(c_0_527,plain,
    ssA(n9,n1) != ssA(n9,n7),
    inference(split_conjunct,[status(thm)],[ax91]) ).

cnf(c_0_528,plain,
    ( ssA(n4,n2) = n1
    | ssA(n9,n2) = n1 ),
    inference(sr,[status(thm)],[c_0_506,c_0_507]) ).

cnf(c_0_529,plain,
    ( ssA(n3,n3) = n5
    | ssA(n7,n3) = n5 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_508,c_0_509]),c_0_510]) ).

cnf(c_0_530,plain,
    ( ssA(n3,n1) = n8
    | ssA(n3,n3) = n8 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_511,c_0_512]),c_0_513]) ).

cnf(c_0_531,plain,
    n5 != n8,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_532,plain,
    ssA(n3,n1) != n8,
    inference(rw,[status(thm)],[c_0_514,c_0_515]) ).

cnf(c_0_533,plain,
    ssA(n4,n7) != ssA(n5,n8),
    inference(split_conjunct,[status(thm)],[ax241]) ).

cnf(c_0_534,plain,
    ssA(n5,n7) != ssA(n5,n8),
    inference(split_conjunct,[status(thm)],[ax51]) ).

cnf(c_0_535,plain,
    ssA(n5,n8) != ssA(n6,n7),
    inference(split_conjunct,[status(thm)],[ax241]) ).

cnf(c_0_536,plain,
    ( ssA(n1,n5) = n2
    | ssA(n1,n6) = n2
    | ssA(n1,n7) = n2
    | ssA(n1,n8) = n2
    | ssA(n1,n9) = n2 ),
    inference(sr,[status(thm)],[c_0_516,c_0_517]) ).

cnf(c_0_537,plain,
    ( ssA(n1,n4) = n9
    | ssA(n1,n5) = n9
    | ssA(n1,n6) = n9
    | ssA(n2,n4) = n9
    | ssA(n2,n5) = n9
    | ssA(n2,n6) = n9
    | ssA(n3,n4) = n9
    | ssA(n3,n5) = n9
    | ssA(n3,n6) = n9 ),
    inference(split_conjunct,[status(thm)],[ax200]) ).

cnf(c_0_538,plain,
    n8 != n9,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_539,plain,
    ssA(n3,n4) != ssA(n6,n4),
    inference(split_conjunct,[status(thm)],[ax131]) ).

cnf(c_0_540,plain,
    ssA(n6,n4) = n9,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_518,c_0_138]),c_0_275]),c_0_326]),c_0_229]),c_0_127]),c_0_221]),c_0_286]),c_0_327]),c_0_519]),c_0_520]),c_0_521]),c_0_247]),c_0_149]),
    [final] ).

cnf(c_0_541,plain,
    ssA(n2,n4) != ssA(n6,n4),
    inference(split_conjunct,[status(thm)],[ax131]) ).

cnf(c_0_542,plain,
    ( ssA(n7,n1) = n8
    | ssA(n7,n2) = n8
    | ssA(n7,n3) = n8
    | ssA(n8,n1) = n8
    | ssA(n8,n2) = n8
    | ssA(n8,n3) = n8
    | ssA(n9,n1) = n8
    | ssA(n9,n2) = n8
    | ssA(n9,n3) = n8 ),
    inference(split_conjunct,[status(thm)],[ax249]) ).

cnf(c_0_543,plain,
    ( ssA(n9,n2) = n7
    | ssA(n9,n1) = n7
    | ssA(n8,n1) = n7 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_522,c_0_131]),c_0_523]),c_0_405]),c_0_524]),c_0_115]),c_0_525]),c_0_526]) ).

cnf(c_0_544,plain,
    ssA(n9,n1) != n7,
    inference(rw,[status(thm)],[c_0_527,c_0_408]) ).

cnf(c_0_545,plain,
    ssA(n9,n2) = n1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_528,c_0_480]),c_0_398]),
    [final] ).

cnf(c_0_546,plain,
    ( ssA(n3,n1) = n8
    | ssA(n7,n3) = n5 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_529,c_0_530]),c_0_531]) ).

cnf(c_0_547,plain,
    ssA(n3,n3) != ssA(n9,n3),
    inference(split_conjunct,[status(thm)],[ax121]) ).

cnf(c_0_548,plain,
    ssA(n3,n3) = n8,
    inference(sr,[status(thm)],[c_0_530,c_0_532]),
    [final] ).

cnf(c_0_549,plain,
    ssA(n4,n1) != ssA(n9,n1),
    inference(split_conjunct,[status(thm)],[ax101]) ).

cnf(c_0_550,plain,
    ssA(n3,n3) != ssA(n8,n3),
    inference(split_conjunct,[status(thm)],[ax121]) ).

cnf(c_0_551,plain,
    ssA(n4,n1) != ssA(n7,n1),
    inference(split_conjunct,[status(thm)],[ax101]) ).

cnf(c_0_552,plain,
    ( ssA(n1,n7) = n6
    | ssA(n2,n7) = n6
    | ssA(n3,n7) = n6
    | ssA(n4,n7) = n6
    | ssA(n5,n7) = n6
    | ssA(n6,n7) = n6
    | ssA(n7,n7) = n6
    | ssA(n8,n7) = n6
    | ssA(n9,n7) = n6 ),
    inference(split_conjunct,[status(thm)],[ax157]) ).

cnf(c_0_553,plain,
    ssA(n4,n7) != n6,
    inference(rw,[status(thm)],[c_0_533,c_0_183]) ).

cnf(c_0_554,plain,
    ssA(n5,n7) != n6,
    inference(rw,[status(thm)],[c_0_534,c_0_183]) ).

cnf(c_0_555,plain,
    ssA(n6,n7) != n6,
    inference(rw,[status(thm)],[c_0_535,c_0_183]) ).

cnf(c_0_556,plain,
    ( ssA(n1,n9) = n2
    | ssA(n1,n8) = n2
    | ssA(n1,n7) = n2
    | ssA(n1,n6) = n2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_536,c_0_145]),c_0_141]) ).

cnf(c_0_557,plain,
    ssA(n1,n9) != ssA(n5,n9),
    inference(split_conjunct,[status(thm)],[ax181]) ).

cnf(c_0_558,plain,
    ( ssA(n3,n6) = n9
    | ssA(n3,n5) = n9
    | ssA(n3,n4) = n9
    | ssA(n2,n5) = n9
    | ssA(n2,n4) = n9
    | ssA(n1,n6) = n9 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_537,c_0_113]),c_0_145]),c_0_264]),c_0_327]),c_0_149]),c_0_538]) ).

cnf(c_0_559,plain,
    ssA(n3,n4) != n9,
    inference(rw,[status(thm)],[c_0_539,c_0_540]) ).

cnf(c_0_560,plain,
    ssA(n2,n4) != n9,
    inference(rw,[status(thm)],[c_0_541,c_0_540]) ).

cnf(c_0_561,plain,
    ssA(n7,n5) != ssA(n7,n8),
    inference(split_conjunct,[status(thm)],[ax71]) ).

cnf(c_0_562,plain,
    ssA(n2,n5) != ssA(n7,n5),
    inference(split_conjunct,[status(thm)],[ax141]) ).

cnf(c_0_563,plain,
    ssA(n1,n5) != ssA(n7,n5),
    inference(split_conjunct,[status(thm)],[ax141]) ).

cnf(c_0_564,plain,
    ssA(n4,n5) != ssA(n7,n5),
    inference(split_conjunct,[status(thm)],[ax141]) ).

cnf(c_0_565,plain,
    ssA(n6,n5) != ssA(n7,n5),
    inference(split_conjunct,[status(thm)],[ax141]) ).

cnf(c_0_566,plain,
    ssA(n7,n4) != ssA(n7,n5),
    inference(split_conjunct,[status(thm)],[ax71]) ).

cnf(c_0_567,plain,
    ( ssA(n9,n3) = n8
    | ssA(n9,n2) = n8
    | ssA(n9,n1) = n8
    | ssA(n8,n3) = n8
    | ssA(n8,n1) = n8
    | ssA(n7,n3) = n8
    | ssA(n7,n2) = n8
    | ssA(n7,n1) = n8 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_542,c_0_131]),c_0_491]) ).

cnf(c_0_568,plain,
    ssA(n8,n1) = n7,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[c_0_543,c_0_544]),c_0_545]),c_0_398]),
    [final] ).

cnf(c_0_569,plain,
    ssA(n7,n3) = n5,
    inference(sr,[status(thm)],[c_0_546,c_0_532]),
    [final] ).

cnf(c_0_570,plain,
    ssA(n9,n3) != n8,
    inference(rw,[status(thm)],[c_0_547,c_0_548]) ).

cnf(c_0_571,plain,
    n1 != n8,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_572,plain,
    ssA(n9,n1) != n8,
    inference(rw,[status(thm)],[c_0_549,c_0_515]) ).

cnf(c_0_573,plain,
    ssA(n8,n3) != n8,
    inference(rw,[status(thm)],[c_0_550,c_0_548]) ).

cnf(c_0_574,plain,
    ssA(n7,n1) != n8,
    inference(rw,[status(thm)],[c_0_551,c_0_515]) ).

cnf(c_0_575,plain,
    ( ssA(n9,n7) = n6
    | ssA(n7,n7) = n6 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_552,c_0_216]),c_0_118]),c_0_214]),c_0_348]),c_0_240]),c_0_116]),c_0_553]),c_0_554]),c_0_555]),c_0_227]) ).

cnf(c_0_576,plain,
    ( ssA(n1,n8) = n9
    | ssA(n2,n8) = n9
    | ssA(n3,n8) = n9
    | ssA(n4,n8) = n9
    | ssA(n5,n8) = n9
    | ssA(n6,n8) = n9
    | ssA(n7,n8) = n9
    | ssA(n8,n8) = n9
    | ssA(n9,n8) = n9 ),
    inference(split_conjunct,[status(thm)],[ax170]) ).

cnf(c_0_577,plain,
    ssA(n6,n4) != ssA(n6,n8),
    inference(split_conjunct,[status(thm)],[ax61]) ).

cnf(c_0_578,plain,
    ( ssA(n1,n6) = n2
    | ssA(n1,n8) = n2
    | ssA(n1,n9) = n2 ),
    inference(sr,[status(thm)],[c_0_556,c_0_460]) ).

cnf(c_0_579,plain,
    ssA(n1,n9) != n2,
    inference(rw,[status(thm)],[c_0_557,c_0_246]) ).

cnf(c_0_580,plain,
    ( ssA(n1,n6) = n9
    | ssA(n2,n5) = n9
    | ssA(n3,n5) = n9
    | ssA(n3,n6) = n9 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_558,c_0_559]),c_0_560]) ).

cnf(c_0_581,plain,
    ( ssA(n7,n5) = n1
    | ssA(n7,n5) = n2
    | ssA(n7,n5) = n3
    | ssA(n7,n5) = n4
    | ssA(n7,n5) = n5
    | ssA(n7,n5) = n6
    | ssA(n7,n5) = n7
    | ssA(n7,n5) = n8
    | ssA(n7,n5) = n9 ),
    inference(split_conjunct,[status(thm)],[ax330]) ).

cnf(c_0_582,plain,
    ssA(n7,n5) != n1,
    inference(rw,[status(thm)],[c_0_561,c_0_184]) ).

cnf(c_0_583,plain,
    ssA(n7,n5) != n2,
    inference(rw,[status(thm)],[c_0_562,c_0_372]) ).

cnf(c_0_584,plain,
    ssA(n7,n5) != n3,
    inference(rw,[status(thm)],[c_0_563,c_0_145]) ).

cnf(c_0_585,plain,
    ssA(n7,n5) != n4,
    inference(rw,[status(thm)],[c_0_564,c_0_275]) ).

cnf(c_0_586,plain,
    ssA(n7,n5) != n5,
    inference(rw,[status(thm)],[c_0_565,c_0_229]) ).

cnf(c_0_587,plain,
    ssA(n7,n5) != n7,
    inference(rw,[status(thm)],[c_0_566,c_0_139]) ).

cnf(c_0_588,plain,
    ssA(n7,n2) != ssA(n7,n5),
    inference(split_conjunct,[status(thm)],[ax71]) ).

cnf(c_0_589,plain,
    ssA(n7,n2) = n8,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_567,c_0_545]),c_0_568]),c_0_569]),c_0_570]),c_0_571]),c_0_572]),c_0_573]),c_0_338]),c_0_531]),c_0_574]),
    [final] ).

cnf(c_0_590,plain,
    ssA(n7,n5) != ssA(n7,n7),
    inference(split_conjunct,[status(thm)],[ax71]) ).

cnf(c_0_591,plain,
    ssA(n7,n7) = n6,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_575,c_0_408]),c_0_391]),
    [final] ).

cnf(c_0_592,plain,
    ( ssA(n9,n8) = n9
    | ssA(n8,n8) = n9
    | ssA(n6,n8) = n9
    | ssA(n3,n8) = n9
    | ssA(n2,n8) = n9
    | ssA(n1,n8) = n9 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_576,c_0_196]),c_0_183]),c_0_184]),c_0_149]),c_0_327]),c_0_386]) ).

cnf(c_0_593,plain,
    ssA(n6,n8) != n9,
    inference(rw,[status(thm)],[c_0_577,c_0_540]) ).

cnf(c_0_594,plain,
    ( ssA(n1,n8) = n2
    | ssA(n1,n6) = n2 ),
    inference(sr,[status(thm)],[c_0_578,c_0_579]) ).

cnf(c_0_595,plain,
    ssA(n3,n5) != ssA(n7,n5),
    inference(split_conjunct,[status(thm)],[ax141]) ).

cnf(c_0_596,plain,
    ( ssA(n3,n6) = n9
    | ssA(n3,n5) = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_580,c_0_340]),c_0_247]),c_0_372]),c_0_221]) ).

cnf(c_0_597,plain,
    ( ssA(n7,n5) = n9
    | ssA(n7,n5) = n8
    | ssA(n7,n5) = n6 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_581,c_0_582]),c_0_583]),c_0_584]),c_0_585]),c_0_586]),c_0_587]) ).

cnf(c_0_598,plain,
    ssA(n7,n5) != n8,
    inference(rw,[status(thm)],[c_0_588,c_0_589]) ).

cnf(c_0_599,plain,
    ssA(n7,n5) != n6,
    inference(rw,[status(thm)],[c_0_590,c_0_591]) ).

cnf(c_0_600,plain,
    ssA(n3,n2) != ssA(n3,n8),
    inference(split_conjunct,[status(thm)],[ax31]) ).

cnf(c_0_601,plain,
    ( ssA(n1,n8) = n9
    | ssA(n2,n8) = n9
    | ssA(n3,n8) = n9
    | ssA(n8,n8) = n9
    | ssA(n9,n8) = n9 ),
    inference(sr,[status(thm)],[c_0_592,c_0_593]) ).

cnf(c_0_602,plain,
    ssA(n1,n8) = n2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_594,c_0_340]),c_0_253]),
    [final] ).

cnf(c_0_603,plain,
    ( ssA(n3,n6) = n9
    | ssA(n7,n5) != n9 ),
    inference(spm,[status(thm)],[c_0_595,c_0_596]) ).

cnf(c_0_604,plain,
    ssA(n7,n5) = n9,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_597,c_0_598]),c_0_599]),
    [final] ).

cnf(c_0_605,plain,
    ( ssA(n3,n8) = n1
    | ssA(n3,n8) = n2
    | ssA(n3,n8) = n3
    | ssA(n3,n8) = n4
    | ssA(n3,n8) = n5
    | ssA(n3,n8) = n6
    | ssA(n3,n8) = n7
    | ssA(n3,n8) = n8
    | ssA(n3,n8) = n9 ),
    inference(split_conjunct,[status(thm)],[ax297]) ).

cnf(c_0_606,plain,
    ssA(n3,n8) != n2,
    inference(rw,[status(thm)],[c_0_600,c_0_209]) ).

cnf(c_0_607,plain,
    ( ssA(n2,n1) = n9
    | ssA(n2,n2) = n9
    | ssA(n2,n3) = n9
    | ssA(n2,n4) = n9
    | ssA(n2,n5) = n9
    | ssA(n2,n6) = n9
    | ssA(n2,n7) = n9
    | ssA(n2,n8) = n9
    | ssA(n2,n9) = n9 ),
    inference(split_conjunct,[status(thm)],[ax20]) ).

cnf(c_0_608,plain,
    ssA(n5,n1) != ssA(n7,n1),
    inference(split_conjunct,[status(thm)],[ax101]) ).

cnf(c_0_609,plain,
    ssA(n5,n1) != ssA(n8,n1),
    inference(split_conjunct,[status(thm)],[ax101]) ).

cnf(c_0_610,plain,
    ssA(n5,n1) != ssA(n9,n1),
    inference(split_conjunct,[status(thm)],[ax101]) ).

cnf(c_0_611,plain,
    ( ssA(n8,n8) = n9
    | ssA(n3,n8) = n9
    | ssA(n2,n8) = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_601,c_0_602]),c_0_221]),c_0_486]),c_0_247]) ).

cnf(c_0_612,plain,
    ssA(n3,n6) != ssA(n3,n8),
    inference(split_conjunct,[status(thm)],[ax31]) ).

cnf(c_0_613,plain,
    ssA(n3,n6) = n9,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_603,c_0_604])]),
    [final] ).

cnf(c_0_614,plain,
    ssA(n1,n4) != ssA(n3,n4),
    inference(split_conjunct,[status(thm)],[ax131]) ).

cnf(c_0_615,plain,
    ssA(n3,n4) != ssA(n7,n4),
    inference(split_conjunct,[status(thm)],[ax131]) ).

cnf(c_0_616,plain,
    ( ssA(n3,n8) = n9
    | ssA(n3,n8) = n8
    | ssA(n3,n8) = n7
    | ssA(n3,n8) = n4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_605,c_0_346]),c_0_606]),c_0_186]),c_0_455]),c_0_352]) ).

cnf(c_0_617,plain,
    ssA(n2,n8) != ssA(n3,n8),
    inference(split_conjunct,[status(thm)],[ax171]) ).

cnf(c_0_618,plain,
    ( ssA(n2,n9) = n9
    | ssA(n2,n8) = n9
    | ssA(n2,n5) = n9
    | ssA(n2,n4) = n9
    | ssA(n2,n3) = n9
    | ssA(n2,n2) = n9 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_607,c_0_205]),c_0_264]),c_0_216]),c_0_149]),c_0_538]),c_0_247]) ).

cnf(c_0_619,plain,
    ( ssA(n7,n1) = n9
    | ssA(n7,n2) = n9
    | ssA(n7,n3) = n9
    | ssA(n8,n1) = n9
    | ssA(n8,n2) = n9
    | ssA(n8,n3) = n9
    | ssA(n9,n1) = n9
    | ssA(n9,n2) = n9
    | ssA(n9,n3) = n9 ),
    inference(split_conjunct,[status(thm)],[ax250]) ).

cnf(c_0_620,plain,
    ssA(n7,n1) != n9,
    inference(rw,[status(thm)],[c_0_608,c_0_148]) ).

cnf(c_0_621,plain,
    ssA(n8,n1) != n9,
    inference(rw,[status(thm)],[c_0_609,c_0_148]) ).

cnf(c_0_622,plain,
    ssA(n9,n1) != n9,
    inference(rw,[status(thm)],[c_0_610,c_0_148]) ).

cnf(c_0_623,plain,
    ( ssA(n3,n8) = n9
    | ssA(n8,n8) = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_611,c_0_411]),c_0_400]) ).

cnf(c_0_624,plain,
    ssA(n3,n8) != n9,
    inference(rw,[status(thm)],[c_0_612,c_0_613]) ).

cnf(c_0_625,plain,
    ( ssA(n3,n4) = n1
    | ssA(n3,n4) = n2
    | ssA(n3,n4) = n3
    | ssA(n3,n4) = n4
    | ssA(n3,n4) = n5
    | ssA(n3,n4) = n6
    | ssA(n3,n4) = n7
    | ssA(n3,n4) = n8
    | ssA(n3,n4) = n9 ),
    inference(split_conjunct,[status(thm)],[ax293]) ).

cnf(c_0_626,plain,
    ssA(n3,n4) != n6,
    inference(rw,[status(thm)],[c_0_614,c_0_113]) ).

cnf(c_0_627,plain,
    ssA(n3,n4) != n7,
    inference(rw,[status(thm)],[c_0_615,c_0_139]) ).

cnf(c_0_628,plain,
    ( ssA(n3,n8) = n4
    | ssA(n3,n8) = n7
    | ssA(n3,n8) = n9 ),
    inference(sr,[status(thm)],[c_0_616,c_0_513]) ).

cnf(c_0_629,plain,
    ssA(n3,n8) != n7,
    inference(rw,[status(thm)],[c_0_617,c_0_411]) ).

cnf(c_0_630,plain,
    ( ssA(n2,n2) = n9
    | ssA(n2,n3) = n9
    | ssA(n2,n5) = n9
    | ssA(n2,n8) = n9
    | ssA(n2,n9) = n9 ),
    inference(sr,[status(thm)],[c_0_618,c_0_560]) ).

cnf(c_0_631,plain,
    ( ssA(n9,n3) = n9
    | ssA(n9,n2) = n9
    | ssA(n8,n3) = n9
    | ssA(n7,n3) = n9
    | ssA(n7,n2) = n9 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_619,c_0_131]),c_0_620]),c_0_621]),c_0_149]),c_0_622]) ).

cnf(c_0_632,plain,
    ssA(n8,n3) != ssA(n8,n8),
    inference(split_conjunct,[status(thm)],[ax81]) ).

cnf(c_0_633,plain,
    ssA(n8,n8) = n9,
    inference(sr,[status(thm)],[c_0_623,c_0_624]),
    [final] ).

cnf(c_0_634,plain,
    ( ssA(n3,n4) = n9
    | ssA(n3,n4) = n5
    | ssA(n3,n4) = n4
    | ssA(n3,n4) = n1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_625,c_0_267]),c_0_140]),c_0_626]),c_0_627]),c_0_488]) ).

cnf(c_0_635,plain,
    ( ssA(n3,n8) = n9
    | ssA(n3,n8) = n4 ),
    inference(sr,[status(thm)],[c_0_628,c_0_629]) ).

cnf(c_0_636,plain,
    ( ssA(n2,n9) = n9
    | ssA(n2,n8) = n9
    | ssA(n2,n3) = n9
    | ssA(n2,n2) = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_630,c_0_372]),c_0_221]) ).

cnf(c_0_637,plain,
    ( ssA(n8,n3) = n9
    | ssA(n9,n3) = n9 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_631,c_0_545]),c_0_569]),c_0_589]),c_0_386]),c_0_247]),c_0_538]) ).

cnf(c_0_638,plain,
    ssA(n8,n3) != n9,
    inference(rw,[status(thm)],[c_0_632,c_0_633]) ).

cnf(c_0_639,plain,
    ( ssA(n3,n4) = n1
    | ssA(n3,n4) = n4
    | ssA(n3,n4) = n5 ),
    inference(sr,[status(thm)],[c_0_634,c_0_559]) ).

cnf(c_0_640,plain,
    ssA(n3,n4) != ssA(n3,n8),
    inference(split_conjunct,[status(thm)],[ax31]) ).

cnf(c_0_641,plain,
    ssA(n3,n8) = n4,
    inference(sr,[status(thm)],[c_0_635,c_0_624]),
    [final] ).

cnf(c_0_642,plain,
    ssA(n1,n4) != ssA(n2,n4),
    inference(split_conjunct,[status(thm)],[ax131]) ).

cnf(c_0_643,plain,
    ssA(n1,n4) != ssA(n2,n5),
    inference(split_conjunct,[status(thm)],[ax201]) ).

cnf(c_0_644,plain,
    ( ssA(n2,n2) = n9
    | ssA(n2,n3) = n9
    | ssA(n2,n9) = n9 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_636,c_0_411]),c_0_400]) ).

cnf(c_0_645,plain,
    ssA(n2,n3) != ssA(n9,n3),
    inference(split_conjunct,[status(thm)],[ax121]) ).

cnf(c_0_646,plain,
    ssA(n9,n3) = n9,
    inference(sr,[status(thm)],[c_0_637,c_0_638]),
    [final] ).

cnf(c_0_647,plain,
    ssA(n3,n4) != ssA(n3,n9),
    inference(split_conjunct,[status(thm)],[ax31]) ).

cnf(c_0_648,plain,
    ( ssA(n3,n4) = n4
    | ssA(n3,n4) = n1 ),
    inference(sr,[status(thm)],[c_0_639,c_0_435]) ).

cnf(c_0_649,plain,
    ssA(n3,n4) != n4,
    inference(rw,[status(thm)],[c_0_640,c_0_641]) ).

cnf(c_0_650,plain,
    ssA(n4,n6) != ssA(n8,n6),
    inference(split_conjunct,[status(thm)],[ax151]) ).

cnf(c_0_651,plain,
    ssA(n5,n8) != ssA(n8,n8),
    inference(split_conjunct,[status(thm)],[ax171]) ).

cnf(c_0_652,plain,
    ( ssA(n2,n1) = n6
    | ssA(n2,n2) = n6
    | ssA(n2,n3) = n6
    | ssA(n2,n4) = n6
    | ssA(n2,n5) = n6
    | ssA(n2,n6) = n6
    | ssA(n2,n7) = n6
    | ssA(n2,n8) = n6
    | ssA(n2,n9) = n6 ),
    inference(split_conjunct,[status(thm)],[ax17]) ).

cnf(c_0_653,plain,
    ssA(n2,n4) != n6,
    inference(rw,[status(thm)],[c_0_642,c_0_113]) ).

cnf(c_0_654,plain,
    ssA(n2,n5) != n6,
    inference(rw,[status(thm)],[c_0_643,c_0_113]) ).

cnf(c_0_655,plain,
    n6 != n8,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_656,plain,
    ( ssA(n2,n3) = n9
    | ssA(n2,n2) = n9 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_390,c_0_644]),c_0_327]),c_0_386]) ).

cnf(c_0_657,plain,
    ssA(n2,n3) != n9,
    inference(rw,[status(thm)],[c_0_645,c_0_646]) ).

cnf(c_0_658,plain,
    ( ssA(n2,n9) = n1
    | ssA(n3,n4) != n1 ),
    inference(spm,[status(thm)],[c_0_647,c_0_374]) ).

cnf(c_0_659,plain,
    ssA(n3,n4) = n1,
    inference(sr,[status(thm)],[c_0_648,c_0_649]),
    [final] ).

cnf(c_0_660,plain,
    ssA(n2,n4) != ssA(n2,n6),
    inference(split_conjunct,[status(thm)],[ax21]) ).

cnf(c_0_661,plain,
    ( ssA(n8,n1) = n6
    | ssA(n8,n2) = n6
    | ssA(n8,n3) = n6
    | ssA(n8,n4) = n6
    | ssA(n8,n5) = n6
    | ssA(n8,n6) = n6
    | ssA(n8,n7) = n6
    | ssA(n8,n8) = n6
    | ssA(n8,n9) = n6 ),
    inference(split_conjunct,[status(thm)],[ax77]) ).

cnf(c_0_662,plain,
    ssA(n8,n6) != n6,
    inference(rw,[status(thm)],[c_0_650,c_0_326]) ).

cnf(c_0_663,plain,
    ssA(n8,n8) != n6,
    inference(rw,[status(thm)],[c_0_651,c_0_183]) ).

cnf(c_0_664,plain,
    ssA(n7,n7) != ssA(n8,n9),
    inference(split_conjunct,[status(thm)],[ax271]) ).

cnf(c_0_665,plain,
    ( ssA(n2,n9) = n6
    | ssA(n2,n3) = n6
    | ssA(n2,n2) = n6 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_652,c_0_205]),c_0_264]),c_0_216]),c_0_116]),c_0_653]),c_0_654]),c_0_655]),c_0_240]),c_0_351]) ).

cnf(c_0_666,plain,
    ssA(n2,n2) = n9,
    inference(sr,[status(thm)],[c_0_656,c_0_657]),
    [final] ).

cnf(c_0_667,plain,
    ssA(n2,n9) = n1,
    inference(cn,[status(thm)],[inference(rw,[status(thm)],[c_0_658,c_0_659])]),
    [final] ).

cnf(c_0_668,plain,
    ( ssA(n4,n4) = n1
    | ssA(n4,n5) = n1
    | ssA(n4,n6) = n1
    | ssA(n5,n4) = n1
    | ssA(n5,n5) = n1
    | ssA(n5,n6) = n1
    | ssA(n6,n4) = n1
    | ssA(n6,n5) = n1
    | ssA(n6,n6) = n1 ),
    inference(split_conjunct,[status(thm)],[ax222]) ).

cnf(c_0_669,plain,
    ( ssA(n1,n4) = n8
    | ssA(n2,n4) = n8
    | ssA(n3,n4) = n8
    | ssA(n4,n4) = n8
    | ssA(n5,n4) = n8
    | ssA(n6,n4) = n8
    | ssA(n7,n4) = n8
    | ssA(n8,n4) = n8
    | ssA(n9,n4) = n8 ),
    inference(split_conjunct,[status(thm)],[ax129]) ).

cnf(c_0_670,plain,
    ssA(n2,n4) != n8,
    inference(rw,[status(thm)],[c_0_660,c_0_264]) ).

cnf(c_0_671,plain,
    ssA(n1,n3) != ssA(n1,n6),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_672,plain,
    ssA(n7,n4) != ssA(n7,n6),
    inference(split_conjunct,[status(thm)],[ax71]) ).

cnf(c_0_673,plain,
    ssA(n7,n4) != ssA(n8,n6),
    inference(split_conjunct,[status(thm)],[ax261]) ).

cnf(c_0_674,plain,
    ssA(n7,n4) != ssA(n9,n6),
    inference(split_conjunct,[status(thm)],[ax261]) ).

cnf(c_0_675,plain,
    ssA(n4,n6) != ssA(n9,n6),
    inference(split_conjunct,[status(thm)],[ax151]) ).

cnf(c_0_676,plain,
    ( ssA(n8,n9) = n6
    | ssA(n8,n5) = n6
    | ssA(n8,n3) = n6
    | ssA(n8,n1) = n6 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_661,c_0_131]),c_0_458]),c_0_214]),c_0_116]),c_0_240]),c_0_662]),c_0_227]),c_0_663]) ).

cnf(c_0_677,plain,
    ssA(n8,n9) != n6,
    inference(rw,[status(thm)],[c_0_664,c_0_591]) ).

cnf(c_0_678,plain,
    ssA(n2,n3) != ssA(n8,n3),
    inference(split_conjunct,[status(thm)],[ax121]) ).

cnf(c_0_679,plain,
    ssA(n2,n3) = n6,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_665,c_0_666]),c_0_327]),c_0_667]),c_0_376]),
    [final] ).

cnf(c_0_680,plain,
    ( ssA(n6,n4) = n1
    | ssA(n5,n6) = n1
    | ssA(n5,n5) = n1
    | ssA(n5,n4) = n1
    | ssA(n4,n6) = n1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_668,c_0_138]),c_0_275]),c_0_229]),c_0_127]),c_0_366]),c_0_388]),c_0_238]),c_0_114]) ).

cnf(c_0_681,plain,
    ( ssA(n8,n4) = n8
    | ssA(n6,n4) = n8
    | ssA(n5,n4) = n8 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_669,c_0_113]),c_0_138]),c_0_139]),c_0_174]),c_0_655]),c_0_670]),c_0_488]),c_0_266]),c_0_338]),c_0_491]) ).

cnf(c_0_682,plain,
    ( ssA(n1,n6) = n7
    | ssA(n2,n6) = n7
    | ssA(n3,n6) = n7
    | ssA(n4,n6) = n7
    | ssA(n5,n6) = n7
    | ssA(n6,n6) = n7
    | ssA(n7,n6) = n7
    | ssA(n8,n6) = n7
    | ssA(n9,n6) = n7 ),
    inference(split_conjunct,[status(thm)],[ax148]) ).

cnf(c_0_683,plain,
    ssA(n1,n6) != n7,
    inference(rw,[status(thm)],[c_0_671,c_0_112]) ).

cnf(c_0_684,plain,
    ssA(n7,n6) != n7,
    inference(rw,[status(thm)],[c_0_672,c_0_139]) ).

cnf(c_0_685,plain,
    ssA(n8,n6) != n7,
    inference(rw,[status(thm)],[c_0_673,c_0_139]) ).

cnf(c_0_686,plain,
    ssA(n9,n6) != n7,
    inference(rw,[status(thm)],[c_0_674,c_0_139]) ).

cnf(c_0_687,plain,
    ssA(n2,n6) != ssA(n8,n6),
    inference(split_conjunct,[status(thm)],[ax151]) ).

cnf(c_0_688,plain,
    ssA(n3,n2) != ssA(n7,n2),
    inference(split_conjunct,[status(thm)],[ax111]) ).

cnf(c_0_689,plain,
    ssA(n8,n1) != ssA(n8,n7),
    inference(split_conjunct,[status(thm)],[ax81]) ).

cnf(c_0_690,plain,
    ssA(n8,n3) != ssA(n8,n7),
    inference(split_conjunct,[status(thm)],[ax81]) ).

cnf(c_0_691,plain,
    ssA(n3,n2) != ssA(n9,n2),
    inference(split_conjunct,[status(thm)],[ax111]) ).

cnf(c_0_692,plain,
    ( ssA(n9,n1) = n6
    | ssA(n9,n2) = n6
    | ssA(n9,n3) = n6
    | ssA(n9,n4) = n6
    | ssA(n9,n5) = n6
    | ssA(n9,n6) = n6
    | ssA(n9,n7) = n6
    | ssA(n9,n8) = n6
    | ssA(n9,n9) = n6 ),
    inference(split_conjunct,[status(thm)],[ax87]) ).

cnf(c_0_693,plain,
    ssA(n9,n6) != n6,
    inference(rw,[status(thm)],[c_0_675,c_0_326]) ).

cnf(c_0_694,plain,
    ssA(n7,n7) != ssA(n9,n9),
    inference(split_conjunct,[status(thm)],[ax271]) ).

cnf(c_0_695,plain,
    ( ssA(n8,n3) = n6
    | ssA(n8,n5) = n6 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_676,c_0_568]),c_0_677]),c_0_391]) ).

cnf(c_0_696,plain,
    ssA(n8,n3) != n6,
    inference(rw,[status(thm)],[c_0_678,c_0_679]) ).

cnf(c_0_697,plain,
    ( ssA(n1,n1) = n4
    | ssA(n1,n2) = n4
    | ssA(n1,n3) = n4
    | ssA(n1,n4) = n4
    | ssA(n1,n5) = n4
    | ssA(n1,n6) = n4
    | ssA(n1,n7) = n4
    | ssA(n1,n8) = n4
    | ssA(n1,n9) = n4 ),
    inference(split_conjunct,[status(thm)],[ax5]) ).

cnf(c_0_698,plain,
    ssA(n1,n5) != ssA(n4,n5),
    inference(split_conjunct,[status(thm)],[ax141]) ).

cnf(c_0_699,plain,
    ssA(n2,n1) != ssA(n2,n7),
    inference(split_conjunct,[status(thm)],[ax21]) ).

cnf(c_0_700,plain,
    ssA(n2,n2) != ssA(n2,n7),
    inference(split_conjunct,[status(thm)],[ax21]) ).

cnf(c_0_701,plain,
    ssA(n1,n2) != ssA(n1,n4),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_702,plain,
    ssA(n5,n2) != ssA(n5,n8),
    inference(split_conjunct,[status(thm)],[ax51]) ).

cnf(c_0_703,plain,
    ( ssA(n5,n4) = n1
    | ssA(n5,n5) = n1
    | ssA(n5,n6) = n1
    | ssA(n6,n4) = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_680,c_0_326]),c_0_376]) ).

cnf(c_0_704,plain,
    ( ssA(n5,n4) = n8
    | ssA(n8,n4) = n8 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_681,c_0_540]),c_0_538]) ).

cnf(c_0_705,plain,
    ( ssA(n5,n6) = n7
    | ssA(n4,n6) = n7
    | ssA(n3,n6) = n7 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_682,c_0_264]),c_0_127]),c_0_683]),c_0_338]),c_0_115]),c_0_684]),c_0_685]),c_0_686]) ).

cnf(c_0_706,plain,
    ( ssA(n8,n1) = n8
    | ssA(n8,n2) = n8
    | ssA(n8,n3) = n8
    | ssA(n8,n4) = n8
    | ssA(n8,n5) = n8
    | ssA(n8,n6) = n8
    | ssA(n8,n7) = n8
    | ssA(n8,n8) = n8
    | ssA(n8,n9) = n8 ),
    inference(split_conjunct,[status(thm)],[ax79]) ).

cnf(c_0_707,plain,
    ssA(n8,n6) != n8,
    inference(rw,[status(thm)],[c_0_687,c_0_264]) ).

cnf(c_0_708,plain,
    ( ssA(n7,n1) = n2
    | ssA(n7,n2) = n2
    | ssA(n7,n3) = n2
    | ssA(n8,n1) = n2
    | ssA(n8,n2) = n2
    | ssA(n8,n3) = n2
    | ssA(n9,n1) = n2
    | ssA(n9,n2) = n2
    | ssA(n9,n3) = n2 ),
    inference(split_conjunct,[status(thm)],[ax243]) ).

cnf(c_0_709,plain,
    ssA(n7,n2) != n2,
    inference(rw,[status(thm)],[c_0_688,c_0_209]) ).

cnf(c_0_710,plain,
    ssA(n8,n1) != n2,
    inference(rw,[status(thm)],[c_0_689,c_0_214]) ).

cnf(c_0_711,plain,
    ssA(n8,n3) != n2,
    inference(rw,[status(thm)],[c_0_690,c_0_214]) ).

cnf(c_0_712,plain,
    ssA(n9,n2) != n2,
    inference(rw,[status(thm)],[c_0_691,c_0_209]) ).

cnf(c_0_713,plain,
    ( ssA(n9,n9) = n6
    | ssA(n9,n7) = n6
    | ssA(n9,n5) = n6
    | ssA(n9,n3) = n6
    | ssA(n9,n2) = n6
    | ssA(n9,n1) = n6 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_692,c_0_174]),c_0_486]),c_0_116]),c_0_693]),c_0_240]) ).

cnf(c_0_714,plain,
    ssA(n9,n9) != n6,
    inference(rw,[status(thm)],[c_0_694,c_0_591]) ).

cnf(c_0_715,plain,
    ssA(n8,n5) != ssA(n9,n5),
    inference(split_conjunct,[status(thm)],[ax141]) ).

cnf(c_0_716,plain,
    ssA(n8,n5) = n6,
    inference(sr,[status(thm)],[c_0_695,c_0_696]),
    [final] ).

cnf(c_0_717,plain,
    ( ssA(n1,n9) = n4
    | ssA(n1,n8) = n4
    | ssA(n1,n7) = n4
    | ssA(n1,n6) = n4
    | ssA(n1,n5) = n4
    | ssA(n1,n2) = n4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_697,c_0_111]),c_0_112]),c_0_113]),c_0_388]),c_0_399]),c_0_288]) ).

cnf(c_0_718,plain,
    ssA(n1,n5) != n4,
    inference(rw,[status(thm)],[c_0_698,c_0_275]) ).

cnf(c_0_719,plain,
    ( ssA(n1,n9) = n1
    | ssA(n1,n9) = n2
    | ssA(n1,n9) = n3
    | ssA(n1,n9) = n4
    | ssA(n1,n9) = n5
    | ssA(n1,n9) = n6
    | ssA(n1,n9) = n7
    | ssA(n1,n9) = n8
    | ssA(n1,n9) = n9 ),
    inference(split_conjunct,[status(thm)],[ax280]) ).

cnf(c_0_720,plain,
    ssA(n4,n5) != ssA(n6,n4),
    inference(split_conjunct,[status(thm)],[ax231]) ).

cnf(c_0_721,plain,
    ( ssA(n1,n1) = n5
    | ssA(n1,n2) = n5
    | ssA(n1,n3) = n5
    | ssA(n2,n1) = n5
    | ssA(n2,n2) = n5
    | ssA(n2,n3) = n5
    | ssA(n3,n1) = n5
    | ssA(n3,n2) = n5
    | ssA(n3,n3) = n5 ),
    inference(split_conjunct,[status(thm)],[ax186]) ).

cnf(c_0_722,plain,
    ssA(n2,n1) != n5,
    inference(rw,[status(thm)],[c_0_699,c_0_216]) ).

cnf(c_0_723,plain,
    ssA(n2,n2) != n5,
    inference(rw,[status(thm)],[c_0_700,c_0_216]) ).

cnf(c_0_724,plain,
    ssA(n1,n1) != ssA(n6,n1),
    inference(split_conjunct,[status(thm)],[ax101]) ).

cnf(c_0_725,plain,
    ( ssA(n1,n2) = n6
    | ssA(n2,n2) = n6
    | ssA(n3,n2) = n6
    | ssA(n4,n2) = n6
    | ssA(n5,n2) = n6
    | ssA(n6,n2) = n6
    | ssA(n7,n2) = n6
    | ssA(n8,n2) = n6
    | ssA(n9,n2) = n6 ),
    inference(split_conjunct,[status(thm)],[ax107]) ).

cnf(c_0_726,plain,
    ssA(n1,n2) != n6,
    inference(rw,[status(thm)],[c_0_701,c_0_113]) ).

cnf(c_0_727,plain,
    ssA(n5,n2) != n6,
    inference(rw,[status(thm)],[c_0_702,c_0_183]) ).

cnf(c_0_728,plain,
    ssA(n4,n2) != ssA(n4,n6),
    inference(split_conjunct,[status(thm)],[ax41]) ).

cnf(c_0_729,plain,
    ssA(n8,n3) != ssA(n9,n2),
    inference(split_conjunct,[status(thm)],[ax251]) ).

cnf(c_0_730,plain,
    ssA(n7,n6) != ssA(n7,n8),
    inference(split_conjunct,[status(thm)],[ax71]) ).

cnf(c_0_731,plain,
    ( ssA(n5,n6) = n1
    | ssA(n5,n5) = n1
    | ssA(n5,n4) = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_703,c_0_540]),c_0_386]) ).

cnf(c_0_732,plain,
    ssA(n5,n4) = n8,
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_458,c_0_704]),c_0_531]),
    [final] ).

cnf(c_0_733,plain,
    ( ssA(n3,n6) = n7
    | ssA(n5,n6) = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_705,c_0_326]),c_0_391]) ).

cnf(c_0_734,plain,
    ssA(n2,n6) != ssA(n7,n6),
    inference(split_conjunct,[status(thm)],[ax151]) ).

cnf(c_0_735,plain,
    ssA(n2,n6) != ssA(n9,n6),
    inference(split_conjunct,[status(thm)],[ax151]) ).

cnf(c_0_736,plain,
    ssA(n2,n5) != ssA(n9,n5),
    inference(split_conjunct,[status(thm)],[ax141]) ).

cnf(c_0_737,plain,
    ssA(n8,n7) != ssA(n9,n7),
    inference(split_conjunct,[status(thm)],[ax161]) ).

cnf(c_0_738,plain,
    ssA(n8,n7) != ssA(n9,n9),
    inference(split_conjunct,[status(thm)],[ax271]) ).

cnf(c_0_739,plain,
    ( ssA(n8,n9) = n8
    | ssA(n8,n8) = n8
    | ssA(n8,n5) = n8
    | ssA(n8,n3) = n8
    | ssA(n8,n1) = n8 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_706,c_0_131]),c_0_458]),c_0_214]),c_0_491]),c_0_531]),c_0_707]),c_0_266]) ).

cnf(c_0_740,plain,
    ( ssA(n4,n7) = n8
    | ssA(n4,n8) = n8
    | ssA(n4,n9) = n8
    | ssA(n5,n7) = n8
    | ssA(n5,n8) = n8
    | ssA(n5,n9) = n8
    | ssA(n6,n7) = n8
    | ssA(n6,n8) = n8
    | ssA(n6,n9) = n8 ),
    inference(split_conjunct,[status(thm)],[ax239]) ).

cnf(c_0_741,plain,
    ( ssA(n9,n3) = n2
    | ssA(n9,n1) = n2
    | ssA(n7,n3) = n2
    | ssA(n7,n1) = n2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_708,c_0_131]),c_0_709]),c_0_710]),c_0_141]),c_0_711]),c_0_712]) ).

cnf(c_0_742,plain,
    ( ssA(n9,n1) = n6
    | ssA(n9,n5) = n6 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_713,c_0_408]),c_0_646]),c_0_545]),c_0_714]),c_0_391]),c_0_327]),c_0_376]) ).

cnf(c_0_743,plain,
    ssA(n9,n5) != n6,
    inference(rw,[status(thm)],[c_0_715,c_0_716]) ).

cnf(c_0_744,plain,
    ( ssA(n1,n2) = n4
    | ssA(n1,n6) = n4
    | ssA(n1,n7) = n4
    | ssA(n1,n8) = n4
    | ssA(n1,n9) = n4 ),
    inference(sr,[status(thm)],[c_0_717,c_0_718]) ).

cnf(c_0_745,plain,
    ( ssA(n1,n9) = n9
    | ssA(n1,n9) = n8
    | ssA(n1,n9) = n4
    | ssA(n1,n9) = n2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_719,c_0_344]),c_0_125]),c_0_243]),c_0_350]),c_0_380]) ).

cnf(c_0_746,plain,
    ssA(n1,n7) != ssA(n1,n9),
    inference(split_conjunct,[status(thm)],[ax11]) ).

cnf(c_0_747,plain,
    ( ssA(n1,n4) = n4
    | ssA(n2,n4) = n4
    | ssA(n3,n4) = n4
    | ssA(n4,n4) = n4
    | ssA(n5,n4) = n4
    | ssA(n6,n4) = n4
    | ssA(n7,n4) = n4
    | ssA(n8,n4) = n4
    | ssA(n9,n4) = n4 ),
    inference(split_conjunct,[status(thm)],[ax125]) ).

cnf(c_0_748,plain,
    ssA(n6,n4) != n4,
    inference(rw,[status(thm)],[c_0_720,c_0_275]) ).

cnf(c_0_749,plain,
    ( ssA(n3,n3) = n5
    | ssA(n3,n1) = n5
    | ssA(n1,n2) = n5 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_721,c_0_111]),c_0_112]),c_0_209]),c_0_238]),c_0_239]),c_0_722]),c_0_723]),c_0_451]),c_0_253]) ).

cnf(c_0_750,plain,
    ( ssA(n1,n4) = n7
    | ssA(n1,n5) = n7
    | ssA(n1,n6) = n7
    | ssA(n2,n4) = n7
    | ssA(n2,n5) = n7
    | ssA(n2,n6) = n7
    | ssA(n3,n4) = n7
    | ssA(n3,n5) = n7
    | ssA(n3,n6) = n7 ),
    inference(split_conjunct,[status(thm)],[ax198]) ).

cnf(c_0_751,plain,
    ( ssA(n4,n1) = n1
    | ssA(n4,n2) = n1
    | ssA(n4,n3) = n1
    | ssA(n5,n1) = n1
    | ssA(n5,n2) = n1
    | ssA(n5,n3) = n1
    | ssA(n6,n1) = n1
    | ssA(n6,n2) = n1
    | ssA(n6,n3) = n1 ),
    inference(split_conjunct,[status(thm)],[ax212]) ).

cnf(c_0_752,plain,
    ssA(n6,n1) != n1,
    inference(rw,[status(thm)],[c_0_724,c_0_111]) ).

cnf(c_0_753,plain,
    ssA(n6,n3) != ssA(n6,n7),
    inference(split_conjunct,[status(thm)],[ax61]) ).

cnf(c_0_754,plain,
    ( ssA(n9,n2) = n6
    | ssA(n7,n2) = n6
    | ssA(n6,n2) = n6
    | ssA(n4,n2) = n6
    | ssA(n2,n2) = n6 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_725,c_0_209]),c_0_131]),c_0_726]),c_0_227]),c_0_727]),c_0_116]) ).

cnf(c_0_755,plain,
    ssA(n4,n2) != n6,
    inference(rw,[status(thm)],[c_0_728,c_0_326]) ).

cnf(c_0_756,plain,
    ssA(n7,n2) != ssA(n7,n7),
    inference(split_conjunct,[status(thm)],[ax71]) ).

cnf(c_0_757,plain,
    ( ssA(n8,n3) = n1
    | ssA(n8,n3) = n2
    | ssA(n8,n3) = n3
    | ssA(n8,n3) = n4
    | ssA(n8,n3) = n5
    | ssA(n8,n3) = n6
    | ssA(n8,n3) = n7
    | ssA(n8,n3) = n8
    | ssA(n8,n3) = n9 ),
    inference(split_conjunct,[status(thm)],[ax337]) ).

cnf(c_0_758,plain,
    ( ssA(n4,n2) = n1
    | ssA(n8,n3) != n1 ),
    inference(spm,[status(thm)],[c_0_729,c_0_528]) ).

cnf(c_0_759,plain,
    ( ssA(n7,n4) = n1
    | ssA(n7,n5) = n1
    | ssA(n7,n6) = n1
    | ssA(n8,n4) = n1
    | ssA(n8,n5) = n1
    | ssA(n8,n6) = n1
    | ssA(n9,n4) = n1
    | ssA(n9,n5) = n1
    | ssA(n9,n6) = n1 ),
    inference(split_conjunct,[status(thm)],[ax252]) ).

cnf(c_0_760,plain,
    ssA(n7,n6) != n1,
    inference(rw,[status(thm)],[c_0_730,c_0_184]) ).

cnf(c_0_761,plain,
    ssA(n9,n2) != ssA(n9,n6),
    inference(split_conjunct,[status(thm)],[ax91]) ).

cnf(c_0_762,plain,
    ssA(n9,n2) != ssA(n9,n5),
    inference(split_conjunct,[status(thm)],[ax91]) ).

cnf(c_0_763,plain,
    ( ssA(n5,n5) = n1
    | ssA(n5,n6) = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_731,c_0_732]),c_0_571]) ).

cnf(c_0_764,plain,
    ssA(n5,n6) = n7,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_733,c_0_613]),c_0_400]),
    [final] ).

cnf(c_0_765,plain,
    ( ssA(n7,n4) = n8
    | ssA(n7,n5) = n8
    | ssA(n7,n6) = n8
    | ssA(n8,n4) = n8
    | ssA(n8,n5) = n8
    | ssA(n8,n6) = n8
    | ssA(n9,n4) = n8
    | ssA(n9,n5) = n8
    | ssA(n9,n6) = n8 ),
    inference(split_conjunct,[status(thm)],[ax259]) ).

cnf(c_0_766,plain,
    ssA(n7,n6) != n8,
    inference(rw,[status(thm)],[c_0_734,c_0_264]) ).

cnf(c_0_767,plain,
    ssA(n9,n6) != n8,
    inference(rw,[status(thm)],[c_0_735,c_0_264]) ).

cnf(c_0_768,plain,
    ( ssA(n9,n1) = n2
    | ssA(n9,n2) = n2
    | ssA(n9,n3) = n2
    | ssA(n9,n4) = n2
    | ssA(n9,n5) = n2
    | ssA(n9,n6) = n2
    | ssA(n9,n7) = n2
    | ssA(n9,n8) = n2
    | ssA(n9,n9) = n2 ),
    inference(split_conjunct,[status(thm)],[ax83]) ).

cnf(c_0_769,plain,
    ssA(n9,n5) != n2,
    inference(rw,[status(thm)],[c_0_736,c_0_372]) ).

cnf(c_0_770,plain,
    ssA(n9,n7) != n2,
    inference(rw,[status(thm)],[c_0_737,c_0_214]) ).

cnf(c_0_771,plain,
    ssA(n9,n9) != n2,
    inference(rw,[status(thm)],[c_0_738,c_0_214]) ).

cnf(c_0_772,plain,
    ssA(n7,n8) != ssA(n9,n9),
    inference(split_conjunct,[status(thm)],[ax271]) ).

cnf(c_0_773,plain,
    ssA(n4,n9) != ssA(n9,n9),
    inference(split_conjunct,[status(thm)],[ax181]) ).

cnf(c_0_774,plain,
    ( ssA(n8,n5) = n8
    | ssA(n8,n9) = n8 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_739,c_0_633]),c_0_568]),c_0_538]),c_0_573]),c_0_338]) ).

cnf(c_0_775,plain,
    ( ssA(n6,n9) = n8
    | ssA(n6,n8) = n8
    | ssA(n6,n7) = n8
    | ssA(n5,n9) = n8
    | ssA(n5,n7) = n8
    | ssA(n4,n9) = n8
    | ssA(n4,n7) = n8 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_740,c_0_196]),c_0_183]),c_0_491]),c_0_655]) ).

cnf(c_0_776,plain,
    ssA(n3,n2) != ssA(n4,n2),
    inference(split_conjunct,[status(thm)],[ax111]) ).

cnf(c_0_777,plain,
    ssA(n4,n3) != ssA(n4,n4),
    inference(split_conjunct,[status(thm)],[ax41]) ).

cnf(c_0_778,plain,
    ssA(n3,n2) != ssA(n6,n2),
    inference(split_conjunct,[status(thm)],[ax111]) ).

cnf(c_0_779,plain,
    ( ssA(n7,n1) = n2
    | ssA(n9,n1) = n2
    | ssA(n9,n3) = n2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_741,c_0_569]),c_0_253]) ).

cnf(c_0_780,plain,
    ssA(n9,n1) = n6,
    inference(sr,[status(thm)],[c_0_742,c_0_743]),
    [final] ).

cnf(c_0_781,plain,
    ( ssA(n1,n9) = n4
    | ssA(n1,n7) = n4
    | ssA(n1,n2) = n4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_744,c_0_340]),c_0_276]),c_0_602]),c_0_333]) ).

cnf(c_0_782,plain,
    n4 != n8,
    inference(split_conjunct,[status(thm)],[ax1]),
    [final] ).

cnf(c_0_783,plain,
    ssA(n1,n9) != ssA(n3,n8),
    inference(split_conjunct,[status(thm)],[ax211]) ).

cnf(c_0_784,plain,
    ( ssA(n1,n9) = n4
    | ssA(n1,n9) = n8
    | ssA(n1,n9) = n9 ),
    inference(sr,[status(thm)],[c_0_745,c_0_579]) ).

cnf(c_0_785,plain,
    ssA(n1,n9) != n8,
    inference(rw,[status(thm)],[c_0_746,c_0_493]) ).

cnf(c_0_786,plain,
    ( ssA(n9,n4) = n4
    | ssA(n8,n4) = n4
    | ssA(n3,n4) = n4
    | ssA(n2,n4) = n4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_747,c_0_113]),c_0_138]),c_0_139]),c_0_288]),c_0_333]),c_0_330]),c_0_748]),c_0_399]) ).

cnf(c_0_787,plain,
    ( ssA(n3,n1) = n5
    | ssA(n3,n3) = n5 ),
    inference(sr,[status(thm)],[c_0_749,c_0_301]) ).

cnf(c_0_788,plain,
    ( ssA(n3,n6) = n7
    | ssA(n3,n5) = n7
    | ssA(n2,n5) = n7 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_750,c_0_113]),c_0_145]),c_0_264]),c_0_391]),c_0_115]),c_0_683]),c_0_337]),c_0_338]),c_0_627]) ).

cnf(c_0_789,plain,
    ( ssA(n6,n3) = n1
    | ssA(n6,n2) = n1
    | ssA(n5,n2) = n1
    | ssA(n4,n3) = n1
    | ssA(n4,n2) = n1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_751,c_0_148]),c_0_220]),c_0_438]),c_0_386]),c_0_114]),c_0_752]) ).

cnf(c_0_790,plain,
    ssA(n6,n3) != n1,
    inference(rw,[status(thm)],[c_0_753,c_0_397]) ).

cnf(c_0_791,plain,
    ( ssA(n2,n2) = n6
    | ssA(n6,n2) = n6
    | ssA(n7,n2) = n6
    | ssA(n9,n2) = n6 ),
    inference(sr,[status(thm)],[c_0_754,c_0_755]) ).

cnf(c_0_792,plain,
    ssA(n7,n2) != n6,
    inference(rw,[status(thm)],[c_0_756,c_0_591]) ).

cnf(c_0_793,plain,
    ( ssA(n8,n3) = n9
    | ssA(n8,n3) = n8
    | ssA(n8,n3) = n6
    | ssA(n8,n3) = n4
    | ssA(n8,n3) = n1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_757,c_0_711]),c_0_191]),c_0_509]),c_0_525]) ).

cnf(c_0_794,plain,
    ssA(n8,n3) != n1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_758,c_0_480]),c_0_398]) ).

cnf(c_0_795,plain,
    ( ssA(n9,n6) = n1
    | ssA(n9,n5) = n1
    | ssA(n8,n6) = n1
    | ssA(n8,n5) = n1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_759,c_0_139]),c_0_458]),c_0_174]),c_0_398]),c_0_582]),c_0_760]),c_0_238]),c_0_114]) ).

cnf(c_0_796,plain,
    ssA(n9,n6) != n1,
    inference(rw,[status(thm)],[c_0_761,c_0_545]) ).

cnf(c_0_797,plain,
    ssA(n9,n5) != n1,
    inference(rw,[status(thm)],[c_0_762,c_0_545]) ).

cnf(c_0_798,plain,
    ssA(n5,n5) != ssA(n8,n5),
    inference(split_conjunct,[status(thm)],[ax141]) ).

cnf(c_0_799,plain,
    ssA(n5,n5) = n1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_763,c_0_764]),c_0_398]),
    [final] ).

cnf(c_0_800,plain,
    ( ssA(n9,n5) = n8
    | ssA(n8,n5) = n8
    | ssA(n7,n5) = n8 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_765,c_0_139]),c_0_458]),c_0_174]),c_0_338]),c_0_766]),c_0_531]),c_0_707]),c_0_491]),c_0_767]) ).

cnf(c_0_801,plain,
    ( ssA(n9,n6) = n2
    | ssA(n9,n3) = n2
    | ssA(n9,n1) = n2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_768,c_0_174]),c_0_486]),c_0_712]),c_0_141]),c_0_769]),c_0_770]),c_0_253]),c_0_771]) ).

cnf(c_0_802,plain,
    ( ssA(n9,n9) = n1
    | ssA(n9,n9) = n2
    | ssA(n9,n9) = n3
    | ssA(n9,n9) = n4
    | ssA(n9,n9) = n5
    | ssA(n9,n9) = n6
    | ssA(n9,n9) = n7
    | ssA(n9,n9) = n8
    | ssA(n9,n9) = n9 ),
    inference(split_conjunct,[status(thm)],[ax352]) ).

cnf(c_0_803,plain,
    ssA(n9,n9) != n1,
    inference(rw,[status(thm)],[c_0_772,c_0_184]) ).

cnf(c_0_804,plain,
    ssA(n9,n9) != n5,
    inference(rw,[status(thm)],[c_0_773,c_0_368]) ).

cnf(c_0_805,plain,
    ssA(n8,n8) != ssA(n9,n9),
    inference(split_conjunct,[status(thm)],[ax271]) ).

cnf(c_0_806,plain,
    ssA(n8,n9) != ssA(n9,n9),
    inference(split_conjunct,[status(thm)],[ax181]) ).

cnf(c_0_807,plain,
    ssA(n8,n9) = n8,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_774,c_0_716]),c_0_655]),
    [final] ).

cnf(c_0_808,plain,
    ( ssA(n6,n1) = n4
    | ssA(n6,n2) = n4
    | ssA(n6,n3) = n4
    | ssA(n6,n4) = n4
    | ssA(n6,n5) = n4
    | ssA(n6,n6) = n4
    | ssA(n6,n7) = n4
    | ssA(n6,n8) = n4
    | ssA(n6,n9) = n4 ),
    inference(split_conjunct,[status(thm)],[ax55]) ).

cnf(c_0_809,plain,
    ( ssA(n4,n7) = n8
    | ssA(n5,n7) = n8
    | ssA(n6,n7) = n8
    | ssA(n6,n8) = n8
    | ssA(n6,n9) = n8 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_775,c_0_368]),c_0_531]),c_0_246]),c_0_266]) ).

cnf(c_0_810,plain,
    ( ssA(n4,n1) = n2
    | ssA(n4,n2) = n2
    | ssA(n4,n3) = n2
    | ssA(n5,n1) = n2
    | ssA(n5,n2) = n2
    | ssA(n5,n3) = n2
    | ssA(n6,n1) = n2
    | ssA(n6,n2) = n2
    | ssA(n6,n3) = n2 ),
    inference(split_conjunct,[status(thm)],[ax213]) ).

cnf(c_0_811,plain,
    ssA(n4,n2) != n2,
    inference(rw,[status(thm)],[c_0_776,c_0_209]) ).

cnf(c_0_812,plain,
    ssA(n4,n3) != n2,
    inference(rw,[status(thm)],[c_0_777,c_0_138]) ).

cnf(c_0_813,plain,
    ssA(n6,n2) != n2,
    inference(rw,[status(thm)],[c_0_778,c_0_209]) ).

cnf(c_0_814,plain,
    ssA(n6,n1) != ssA(n7,n1),
    inference(split_conjunct,[status(thm)],[ax101]) ).

cnf(c_0_815,plain,
    ssA(n7,n1) = n2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_779,c_0_780]),c_0_227]),c_0_646]),c_0_221]),
    [final] ).

cnf(c_0_816,plain,
    ( ssA(n7,n1) = n4
    | ssA(n7,n2) = n4
    | ssA(n7,n3) = n4
    | ssA(n7,n4) = n4
    | ssA(n7,n5) = n4
    | ssA(n7,n6) = n4
    | ssA(n7,n7) = n4
    | ssA(n7,n8) = n4
    | ssA(n7,n9) = n4 ),
    inference(split_conjunct,[status(thm)],[ax65]) ).

cnf(c_0_817,plain,
    ssP(ssA(n1,n1),ssA(n1,n2),ssA(n1,n3),ssA(n1,n4),ssA(n1,n5),ssA(n1,n6),ssA(n1,n7),ssA(n1,n8),ssA(n1,n9),ssA(n2,n1),ssA(n2,n2),ssA(n2,n3),ssA(n2,n4),ssA(n2,n5),ssA(n2,n6),ssA(n2,n7),ssA(n2,n8),ssA(n2,n9),ssA(n3,n1),ssA(n3,n2),ssA(n3,n3),ssA(n3,n4),ssA(n3,n5),ssA(n3,n6),ssA(n3,n7),ssA(n3,n8),ssA(n3,n9),ssA(n4,n1),ssA(n4,n2),ssA(n4,n3),ssA(n4,n4),ssA(n4,n5),ssA(n4,n6),ssA(n4,n7),ssA(n4,n8),ssA(n4,n9),ssA(n5,n1),ssA(n5,n2),ssA(n5,n3),ssA(n5,n4),ssA(n5,n5),ssA(n5,n6),ssA(n5,n7),ssA(n5,n8),ssA(n5,n9),ssA(n6,n1),ssA(n6,n2),ssA(n6,n3),ssA(n6,n4),ssA(n6,n5),ssA(n6,n6),ssA(n6,n7),ssA(n6,n8),ssA(n6,n9),ssA(n7,n1),ssA(n7,n2),ssA(n7,n3),ssA(n7,n4),ssA(n7,n5),ssA(n7,n6),ssA(n7,n7),ssA(n7,n8),ssA(n7,n9),ssA(n8,n1),ssA(n8,n2),ssA(n8,n3),ssA(n8,n4),ssA(n8,n5),ssA(n8,n6),ssA(n8,n7),ssA(n8,n8),ssA(n8,n9),ssA(n9,n1),ssA(n9,n2),ssA(n9,n3),ssA(n9,n4),ssA(n9,n5),ssA(n9,n6),ssA(n9,n7),ssA(n9,n8),ssA(n9,n9)),
    inference(split_conjunct,[status(thm)],[ax370]) ).

cnf(c_0_818,plain,
    ( ssA(n1,n2) = n4
    | ssA(n1,n9) = n4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_781,c_0_493]),c_0_782]) ).

cnf(c_0_819,plain,
    ssA(n1,n9) != n4,
    inference(rw,[status(thm)],[c_0_783,c_0_641]) ).

cnf(c_0_820,plain,
    ( ssA(n1,n9) = n9
    | ssA(n1,n9) = n4 ),
    inference(sr,[status(thm)],[c_0_784,c_0_785]) ).

cnf(c_0_821,plain,
    ( ssA(n2,n4) = n4
    | ssA(n3,n4) = n4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_786,c_0_458]),c_0_276]),c_0_174]),c_0_329]) ).

cnf(c_0_822,plain,
    ( ssA(n3,n1) = n8
    | ssA(n3,n1) = n5 ),
    inference(sr,[status(thm)],[inference(spm,[status(thm)],[c_0_787,c_0_530]),c_0_531]) ).

cnf(c_0_823,plain,
    ( ssA(n3,n5) = n7
    | ssA(n3,n6) = n7 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_788,c_0_372]),c_0_373]) ).

cnf(c_0_824,plain,
    ( ssA(n4,n2) = n1
    | ssA(n4,n3) = n1 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_789,c_0_790]),c_0_507]),c_0_273]),c_0_238]) ).

cnf(c_0_825,plain,
    ( ssA(n9,n2) = n6
    | ssA(n6,n2) = n6
    | ssA(n2,n2) = n6 ),
    inference(sr,[status(thm)],[c_0_791,c_0_792]) ).

cnf(c_0_826,plain,
    ( ssA(n8,n3) = n4
    | ssA(n8,n3) = n6 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_793,c_0_638]),c_0_573]),c_0_794]) ).

cnf(c_0_827,plain,
    ( ssA(n8,n5) = n1
    | ssA(n8,n6) = n1 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_795,c_0_796]),c_0_797]) ).

cnf(c_0_828,plain,
    ssA(n8,n5) != n1,
    inference(rw,[status(thm)],[c_0_798,c_0_799]) ).

cnf(c_0_829,plain,
    ( ssA(n8,n5) = n8
    | ssA(n9,n5) = n8 ),
    inference(sr,[status(thm)],[c_0_800,c_0_598]) ).

cnf(c_0_830,plain,
    ( ssA(n9,n1) = n2
    | ssA(n9,n6) = n2 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_801,c_0_646]),c_0_221]) ).

cnf(c_0_831,plain,
    ( ssA(n9,n9) = n9
    | ssA(n9,n9) = n8
    | ssA(n9,n9) = n7
    | ssA(n9,n9) = n6
    | ssA(n9,n9) = n4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_802,c_0_803]),c_0_771]),c_0_360]),c_0_804]) ).

cnf(c_0_832,plain,
    ssA(n9,n9) != n9,
    inference(rw,[status(thm)],[c_0_805,c_0_633]) ).

cnf(c_0_833,plain,
    ssA(n9,n9) != n8,
    inference(rw,[status(thm)],[c_0_806,c_0_807]) ).

cnf(c_0_834,plain,
    ( ssA(n6,n9) = n4
    | ssA(n6,n8) = n4
    | ssA(n6,n7) = n4
    | ssA(n6,n3) = n4
    | ssA(n6,n2) = n4
    | ssA(n6,n1) = n4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_808,c_0_540]),c_0_229]),c_0_127]),c_0_286]),c_0_276]),c_0_329]) ).

cnf(c_0_835,plain,
    ssA(n6,n8) = n8,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_809,c_0_385]),c_0_397]),c_0_445]),c_0_538]),c_0_571]),c_0_338]),c_0_387]),c_0_782]),
    [final] ).

cnf(c_0_836,plain,
    ( ssA(n6,n3) = n2
    | ssA(n6,n1) = n2 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_810,c_0_148]),c_0_220]),c_0_439]),c_0_811]),c_0_812]),c_0_221]),c_0_222]),c_0_141]),c_0_813]) ).

cnf(c_0_837,plain,
    ssA(n6,n1) != n2,
    inference(rw,[status(thm)],[c_0_814,c_0_815]) ).

cnf(c_0_838,plain,
    ( ssA(n7,n7) = n4
    | ssA(n7,n6) = n4
    | ssA(n7,n3) = n4
    | ssA(n7,n2) = n4
    | ssA(n7,n1) = n4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_816,c_0_139]),c_0_184]),c_0_379]),c_0_399]),c_0_585]),c_0_388]),c_0_329]) ).

cnf(c_0_839,plain,
    ssP(n1,ssA(n1,n2),n7,n6,n3,n5,ssA(n1,n7),n2,ssA(n1,n9),n3,ssA(n2,n2),ssA(n2,n3),ssA(n2,n4),n2,n8,n5,ssA(n2,n8),ssA(n2,n9),ssA(n3,n1),n2,ssA(n3,n3),ssA(n3,n4),ssA(n3,n5),ssA(n3,n6),n3,ssA(n3,n8),ssA(n3,n9),ssA(n4,n1),ssA(n4,n2),ssA(n4,n3),n2,n4,n6,ssA(n4,n7),n3,n5,n9,n5,n3,ssA(n5,n4),ssA(n5,n5),ssA(n5,n6),ssA(n5,n7),n6,n2,ssA(n6,n1),ssA(n6,n2),ssA(n6,n3),n9,n5,n3,ssA(n6,n7),ssA(n6,n8),ssA(n6,n9),ssA(n7,n1),ssA(n7,n2),ssA(n7,n3),n7,ssA(n7,n5),ssA(n7,n6),ssA(n7,n7),n1,n3,ssA(n8,n1),n3,ssA(n8,n3),n5,ssA(n8,n5),ssA(n8,n6),n2,ssA(n8,n8),ssA(n8,n9),ssA(n9,n1),ssA(n9,n2),ssA(n9,n3),n3,ssA(n9,n5),ssA(n9,n6),ssA(n9,n7),n5,ssA(n9,n9)),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_817,c_0_111]),c_0_112]),c_0_113]),c_0_145]),c_0_340]),c_0_602]),c_0_205]),c_0_372]),c_0_264]),c_0_216]),c_0_209]),c_0_118]),c_0_138]),c_0_275]),c_0_326]),c_0_196]),c_0_368]),c_0_148]),c_0_273]),c_0_220]),c_0_183]),c_0_246]),c_0_540]),c_0_229]),c_0_127]),c_0_139]),c_0_184]),c_0_379]),c_0_131]),c_0_458]),c_0_214]),c_0_174]),c_0_486]) ).

cnf(c_0_840,plain,
    ssA(n1,n2) = n4,
    inference(sr,[status(thm)],[c_0_818,c_0_819]),
    [final] ).

cnf(c_0_841,plain,
    ssA(n1,n9) = n9,
    inference(sr,[status(thm)],[c_0_820,c_0_819]),
    [final] ).

cnf(c_0_842,plain,
    ssA(n2,n4) = n4,
    inference(sr,[status(thm)],[c_0_821,c_0_649]),
    [final] ).

cnf(c_0_843,plain,
    ssA(n3,n1) = n5,
    inference(sr,[status(thm)],[c_0_822,c_0_532]),
    [final] ).

cnf(c_0_844,plain,
    ssA(n3,n5) = n7,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_823,c_0_613]),c_0_400]),
    [final] ).

cnf(c_0_845,plain,
    ssA(n3,n9) = n6,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_375,c_0_667]),c_0_376]),
    [final] ).

cnf(c_0_846,plain,
    ssA(n4,n3) = n1,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_824,c_0_480]),c_0_398]),
    [final] ).

cnf(c_0_847,plain,
    ssA(n6,n2) = n6,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_825,c_0_666]),c_0_327]),c_0_545]),c_0_376]),
    [final] ).

cnf(c_0_848,plain,
    ssA(n8,n3) = n4,
    inference(sr,[status(thm)],[c_0_826,c_0_696]),
    [final] ).

cnf(c_0_849,plain,
    ssA(n8,n6) = n1,
    inference(sr,[status(thm)],[c_0_827,c_0_828]),
    [final] ).

cnf(c_0_850,plain,
    ssA(n9,n5) = n8,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_829,c_0_716]),c_0_655]),
    [final] ).

cnf(c_0_851,plain,
    ssA(n9,n6) = n2,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_830,c_0_780]),c_0_227]),
    [final] ).

cnf(c_0_852,plain,
    ssA(n9,n9) = n4,
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[c_0_831,c_0_832]),c_0_833]),c_0_423]),c_0_714]),
    [final] ).

cnf(c_0_853,plain,
    ( ssA(n6,n1) = n4
    | ssA(n6,n2) = n4
    | ssA(n6,n3) = n4 ),
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_834,c_0_835]),c_0_397]),c_0_782]),c_0_388]),c_0_445]),c_0_399]) ).

cnf(c_0_854,plain,
    ssA(n6,n3) = n2,
    inference(sr,[status(thm)],[c_0_836,c_0_837]),
    [final] ).

cnf(c_0_855,plain,
    ( ssA(n7,n1) = n4
    | ssA(n7,n2) = n4
    | ssA(n7,n6) = n4 ),
    inference(sr,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_838,c_0_591]),c_0_569]),c_0_288]),c_0_276]) ).

cnf(c_0_856,plain,
    ssP(n1,n4,n7,n6,n3,n5,n8,n2,n9,n3,n9,n6,n4,n2,n8,n5,n7,n1,n5,n2,n8,n1,n7,n9,n3,n4,n6,n8,n7,n1,n2,n4,n6,n9,n3,n5,n9,n5,n3,n8,n1,n7,n4,n6,n2,ssA(n6,n1),n6,ssA(n6,n3),n9,n5,n3,n1,n8,n7,n2,n8,n5,n7,n9,ssA(n7,n6),n6,n1,n3,n7,n3,n4,n5,n6,n1,n2,n9,n8,n6,n1,n9,n3,n8,n2,n7,n5,n4),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_839,c_0_385]),c_0_840]),c_0_493]),c_0_841]),c_0_666]),c_0_679]),c_0_842]),c_0_411]),c_0_667]),c_0_843]),c_0_548]),c_0_659]),c_0_844]),c_0_613]),c_0_641]),c_0_845]),c_0_515]),c_0_480]),c_0_846]),c_0_732]),c_0_799]),c_0_764]),c_0_387]),c_0_847]),c_0_397]),c_0_835]),c_0_445]),c_0_815]),c_0_589]),c_0_569]),c_0_604]),c_0_591]),c_0_568]),c_0_848]),c_0_716]),c_0_849]),c_0_633]),c_0_807]),c_0_780]),c_0_545]),c_0_646]),c_0_850]),c_0_851]),c_0_408]),c_0_852]) ).

cnf(c_0_857,plain,
    ssA(n6,n1) = n4,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_853,c_0_847]),c_0_288]),c_0_854]),c_0_333]),
    [final] ).

cnf(c_0_858,plain,
    ssA(n7,n6) = n4,
    inference(sr,[status(thm)],[inference(rw,[status(thm)],[inference(sr,[status(thm)],[inference(rw,[status(thm)],[c_0_855,c_0_589]),c_0_782]),c_0_815]),c_0_333]),
    [final] ).

cnf(c_0_859,plain,
    ssP(n1,n4,n7,n6,n3,n5,n8,n2,n9,n3,n9,n6,n4,n2,n8,n5,n7,n1,n5,n2,n8,n1,n7,n9,n3,n4,n6,n8,n7,n1,n2,n4,n6,n9,n3,n5,n9,n5,n3,n8,n1,n7,n4,n6,n2,n4,n6,n2,n9,n5,n3,n1,n8,n7,n2,n8,n5,n7,n9,n4,n6,n1,n3,n7,n3,n4,n5,n6,n1,n2,n9,n8,n6,n1,n9,n3,n8,n2,n7,n5,n4),
    inference(rw,[status(thm)],[inference(rw,[status(thm)],[inference(rw,[status(thm)],[c_0_856,c_0_854]),c_0_857]),c_0_858]),
    [final] ).

%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.12  % Problem    : PUZ069+1 : TPTP v9.2.1. Released v3.2.0.
% 0.00/0.12  % Command    : /export/starexec/sandbox/solver/bin/lemma_parallel_prover %s --lemma-prover /export/starexec/sandbox/solver/bin/cse --final-prover /export/starexec/sandbox/solver/bin/eprover --proof-time %d --global-time-limit %d
% 0.15/0.33  % Computer : n010.cluster.edu
% 0.15/0.33  % Model    : x86_64 x86_64
% 0.15/0.33  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.33  % Memory   : 8042.1875MB
% 0.15/0.33  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.33  % CPULimit   : 300
% 0.15/0.33  % WCLimit    : 300
% 0.15/0.33  % DateTime   : Tue May  5 01:34:51 EDT 2026
% 0.15/0.33  % CPUTime    : 
% 0.15/0.34  % start to proof: theBenchmark
% 1.72/1.86  % Version  : CSE_E---1.7
% 1.72/1.86  % Problem  : theBenchmark.p
% 1.72/1.86  % SZS status Satisfiable for theBenchmark.p
% 1.72/1.86  % SZS output start Saturation
% See solution above
% 1.72/1.87  % Total time : 1.426s
%------------------------------------------------------------------------------