TSTP Solution File: GRA021+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRA021+1 : TPTP v8.1.2. Released v3.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s

% Computer : n006.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 Apr 30 11:42:38 EDT 2024

% Result   : CounterSatisfiable 2.03s 0.64s
% Output   : Saturation 2.03s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(u39,axiom,
    ( ~ green(X0,X1)
    | ~ red(X0,X1) ) ).

cnf(u42,axiom,
    ~ goal ).

cnf(u47,axiom,
    ( ~ green(X3,X4)
    | ~ green(X0,X1)
    | ~ green(X0,X2)
    | ~ green(X1,X2)
    | ~ green(X0,X3)
    | ~ green(X1,X3)
    | ~ green(X2,X3)
    | ~ green(X0,X4)
    | ~ green(X1,X4)
    | ~ green(X2,X4) ) ).

cnf(u51,axiom,
    ( ~ red(X3,X4)
    | ~ red(X0,X1)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,X3)
    | ~ red(X1,X3)
    | ~ red(X2,X3)
    | ~ red(X0,X4)
    | ~ red(X1,X4)
    | ~ red(X2,X4) ) ).

cnf(u424,axiom,
    red(n1,n2) ).

cnf(u427,axiom,
    ( ~ less_than(X1,n2)
    | red(n2,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(n2,X0)
    | red(X1,n2)
    | red(n1,X1)
    | ~ less_than(n1,X2)
    | red(n1,X2)
    | ~ less_than(X2,X1)
    | red(n1,X0)
    | red(X2,n2)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u431,axiom,
    ~ red(n1,n3) ).

cnf(u435,axiom,
    ( ~ less_than(X1,n3)
    | red(n3,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(n3,X0)
    | red(X1,n3)
    | red(n1,X1)
    | ~ less_than(n1,X2)
    | red(n1,X2)
    | ~ less_than(X2,X1)
    | red(n1,X0)
    | red(X2,n3)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u440,axiom,
    red(n1,n4) ).

cnf(u447,axiom,
    ~ red(n1,n5) ).

cnf(u451,axiom,
    ( ~ less_than(X1,n5)
    | red(n5,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(n5,X0)
    | red(X1,n5)
    | red(n1,X1)
    | ~ less_than(n1,X2)
    | red(n1,X2)
    | ~ less_than(X2,X1)
    | red(n1,X0)
    | red(X2,n5)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u455,axiom,
    ~ red(n1,n6) ).

cnf(u459,axiom,
    ( ~ less_than(X1,n6)
    | red(n6,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(n6,X0)
    | red(X1,n6)
    | red(n1,X1)
    | ~ less_than(n1,X2)
    | red(n1,X2)
    | ~ less_than(X2,X1)
    | red(n1,X0)
    | red(X2,n6)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u463,axiom,
    ~ red(n1,n7) ).

cnf(u467,axiom,
    ( ~ less_than(n7,X0)
    | red(n7,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n7)
    | red(X1,n7)
    | red(n1,X1)
    | ~ less_than(n1,X2)
    | red(n1,X2)
    | ~ less_than(X2,X1)
    | red(n1,X0)
    | red(X2,n7)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u472,axiom,
    red(n1,n8) ).

cnf(u480,axiom,
    red(n1,n9) ).

cnf(u487,axiom,
    ~ red(n1,n10) ).

cnf(u491,axiom,
    ( ~ less_than(n10,X0)
    | red(n10,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n10)
    | red(X1,n10)
    | red(n1,X1)
    | ~ less_than(n1,X2)
    | red(n1,X2)
    | ~ less_than(X2,X1)
    | red(n1,X0)
    | red(X2,n10)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u496,axiom,
    red(n1,n11) ).

cnf(u504,axiom,
    red(n1,n12) ).

cnf(u512,axiom,
    red(n2,n3) ).

cnf(u515,axiom,
    ( ~ less_than(X1,n3)
    | red(n3,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(n3,X0)
    | red(X1,n3)
    | red(n2,X1)
    | ~ less_than(n2,X2)
    | red(n2,X2)
    | ~ less_than(X2,X1)
    | red(n2,X0)
    | red(X2,n3)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u520,axiom,
    red(n2,n4) ).

cnf(u528,axiom,
    red(n2,n5) ).

cnf(u531,axiom,
    ( ~ less_than(X1,n5)
    | red(n5,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(n5,X0)
    | red(X1,n5)
    | red(n2,X1)
    | ~ less_than(n2,X2)
    | red(n2,X2)
    | ~ less_than(X2,X1)
    | red(n2,X0)
    | red(X2,n5)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u535,axiom,
    ~ red(n2,n6) ).

cnf(u539,axiom,
    ( ~ less_than(X1,n6)
    | red(n6,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(n6,X0)
    | red(X1,n6)
    | red(n2,X1)
    | ~ less_than(n2,X2)
    | red(n2,X2)
    | ~ less_than(X2,X1)
    | red(n2,X0)
    | red(X2,n6)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u544,axiom,
    red(n2,n7) ).

cnf(u551,axiom,
    ~ red(n2,n8) ).

cnf(u555,axiom,
    ( ~ less_than(n8,X0)
    | red(n8,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n8)
    | red(X1,n8)
    | red(n2,X1)
    | ~ less_than(n2,X2)
    | red(n2,X2)
    | ~ less_than(X2,X1)
    | red(n2,X0)
    | red(X2,n8)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u559,axiom,
    ~ red(n2,n9) ).

cnf(u563,axiom,
    ( ~ less_than(n9,X0)
    | red(n9,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n9)
    | red(X1,n9)
    | red(n2,X1)
    | ~ less_than(n2,X2)
    | red(n2,X2)
    | ~ less_than(X2,X1)
    | red(n2,X0)
    | red(X2,n9)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u567,axiom,
    ~ red(n2,n10) ).

cnf(u571,axiom,
    ( ~ less_than(n10,X0)
    | red(n10,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n10)
    | red(X1,n10)
    | red(n2,X1)
    | ~ less_than(n2,X2)
    | red(n2,X2)
    | ~ less_than(X2,X1)
    | red(n2,X0)
    | red(X2,n10)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u576,axiom,
    red(n2,n11) ).

cnf(u584,axiom,
    red(n2,n12) ).

cnf(u592,axiom,
    red(n3,n4) ).

cnf(u599,axiom,
    ~ red(n3,n5) ).

cnf(u603,axiom,
    ( ~ less_than(X1,n5)
    | red(n5,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(n5,X0)
    | red(X1,n5)
    | red(n3,X1)
    | ~ less_than(n3,X2)
    | red(n3,X2)
    | ~ less_than(X2,X1)
    | red(n3,X0)
    | red(X2,n5)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u608,axiom,
    red(n3,n6) ).

cnf(u615,axiom,
    ~ red(n3,n7) ).

cnf(u619,axiom,
    ( ~ less_than(n7,X0)
    | red(n7,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n7)
    | red(X1,n7)
    | red(n3,X1)
    | ~ less_than(n3,X2)
    | red(n3,X2)
    | ~ less_than(X2,X1)
    | red(n3,X0)
    | red(X2,n7)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u624,axiom,
    red(n3,n8) ).

cnf(u631,axiom,
    ~ red(n3,n9) ).

cnf(u635,axiom,
    ( ~ less_than(n9,X0)
    | red(n9,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n9)
    | red(X1,n9)
    | red(n3,X1)
    | ~ less_than(n3,X2)
    | red(n3,X2)
    | ~ less_than(X2,X1)
    | red(n3,X0)
    | red(X2,n9)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u640,axiom,
    red(n3,n10) ).

cnf(u643,axiom,
    ( ~ less_than(n10,X0)
    | red(n10,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n10)
    | red(X1,n10)
    | red(n3,X1)
    | ~ less_than(n3,X2)
    | red(n3,X2)
    | ~ less_than(X2,X1)
    | red(n3,X0)
    | red(X2,n10)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u648,axiom,
    red(n3,n11) ).

cnf(u656,axiom,
    red(n3,n12) ).

cnf(u664,axiom,
    red(n4,n5) ).

cnf(u672,axiom,
    red(n4,n6) ).

cnf(u679,axiom,
    ~ red(n4,n7) ).

cnf(u683,axiom,
    ( ~ less_than(n7,X0)
    | red(n7,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n7)
    | red(X1,n7)
    | red(n4,X1)
    | ~ less_than(n4,X2)
    | red(n4,X2)
    | ~ less_than(X2,X1)
    | red(n4,X0)
    | red(X2,n7)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u688,axiom,
    red(n4,n8) ).

cnf(u695,axiom,
    ~ red(n4,n9) ).

cnf(u699,axiom,
    ( ~ less_than(n9,X0)
    | red(n9,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n9)
    | red(X1,n9)
    | red(n4,X1)
    | ~ less_than(n4,X2)
    | red(n4,X2)
    | ~ less_than(X2,X1)
    | red(n4,X0)
    | red(X2,n9)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u704,axiom,
    red(n4,n10) ).

cnf(u711,axiom,
    ~ red(n4,n11) ).

cnf(u715,axiom,
    ( ~ less_than(n11,X0)
    | red(n11,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n11)
    | red(X1,n11)
    | red(n4,X1)
    | ~ less_than(n4,X2)
    | red(n4,X2)
    | ~ less_than(X2,X1)
    | red(n4,X0)
    | red(X2,n11)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u719,axiom,
    ~ red(n4,n12) ).

cnf(u723,axiom,
    ( ~ less_than(n12,X0)
    | red(n12,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n12)
    | red(X1,n12)
    | red(n4,X1)
    | ~ less_than(n4,X2)
    | red(n4,X2)
    | ~ less_than(X2,X1)
    | red(n4,X0)
    | red(X2,n12)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u728,axiom,
    red(n5,n6) ).

cnf(u736,axiom,
    red(n5,n7) ).

cnf(u744,axiom,
    red(n5,n8) ).

cnf(u751,axiom,
    ~ red(n5,n9) ).

cnf(u755,axiom,
    ( ~ less_than(n9,X0)
    | red(n9,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n9)
    | red(X1,n9)
    | red(n5,X1)
    | ~ less_than(n5,X2)
    | red(n5,X2)
    | ~ less_than(X2,X1)
    | red(n5,X0)
    | red(X2,n9)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u760,axiom,
    red(n5,n10) ).

cnf(u767,axiom,
    ~ red(n5,n11) ).

cnf(u771,axiom,
    ( ~ less_than(n11,X0)
    | red(n11,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n11)
    | red(X1,n11)
    | red(n5,X1)
    | ~ less_than(n5,X2)
    | red(n5,X2)
    | ~ less_than(X2,X1)
    | red(n5,X0)
    | red(X2,n11)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u776,axiom,
    red(n5,n12) ).

cnf(u784,axiom,
    red(n6,n7) ).

cnf(u791,axiom,
    ~ red(n6,n8) ).

cnf(u795,axiom,
    ( ~ less_than(n8,X0)
    | red(n8,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n8)
    | red(X1,n8)
    | red(n6,X1)
    | ~ less_than(n6,X2)
    | red(n6,X2)
    | ~ less_than(X2,X1)
    | red(n6,X0)
    | red(X2,n8)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u800,axiom,
    red(n6,n9) ).

cnf(u808,axiom,
    red(n6,n10) ).

cnf(u816,axiom,
    red(n6,n11) ).

cnf(u823,axiom,
    ~ red(n6,n12) ).

cnf(u827,axiom,
    ( ~ less_than(n12,X0)
    | red(n12,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n12)
    | red(X1,n12)
    | red(n6,X1)
    | ~ less_than(n6,X2)
    | red(n6,X2)
    | ~ less_than(X2,X1)
    | red(n6,X0)
    | red(X2,n12)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u831,axiom,
    ~ red(n7,n8) ).

cnf(u835,axiom,
    ( ~ less_than(n8,X0)
    | red(n8,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n8)
    | red(X1,n8)
    | red(n7,X1)
    | ~ less_than(n7,X2)
    | red(n7,X2)
    | ~ less_than(X2,X1)
    | red(n7,X0)
    | red(X2,n8)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u840,axiom,
    red(n7,n9) ).

cnf(u848,axiom,
    red(n7,n10) ).

cnf(u851,axiom,
    ( ~ less_than(n10,X0)
    | red(n10,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n10)
    | red(X1,n10)
    | red(n7,X1)
    | ~ less_than(n7,X2)
    | red(n7,X2)
    | ~ less_than(X2,X1)
    | red(n7,X0)
    | red(X2,n10)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u856,axiom,
    red(n7,n11) ).

cnf(u864,axiom,
    red(n7,n12) ).

cnf(u871,axiom,
    ~ red(n8,n9) ).

cnf(u875,axiom,
    ( ~ less_than(n9,X0)
    | red(n9,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n9)
    | red(X1,n9)
    | red(n8,X1)
    | ~ less_than(n8,X2)
    | red(n8,X2)
    | ~ less_than(X2,X1)
    | red(n8,X0)
    | red(X2,n9)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u880,axiom,
    red(n8,n10) ).

cnf(u888,axiom,
    red(n8,n11) ).

cnf(u895,axiom,
    ~ red(n8,n12) ).

cnf(u899,axiom,
    ( ~ less_than(n12,X0)
    | red(n12,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n12)
    | red(X1,n12)
    | red(n8,X1)
    | ~ less_than(n8,X2)
    | red(n8,X2)
    | ~ less_than(X2,X1)
    | red(n8,X0)
    | red(X2,n12)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u903,axiom,
    ~ red(n9,n10) ).

cnf(u907,axiom,
    ( ~ less_than(n10,X0)
    | red(n10,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n10)
    | red(X1,n10)
    | red(n9,X1)
    | ~ less_than(n9,X2)
    | red(n9,X2)
    | ~ less_than(X2,X1)
    | red(n9,X0)
    | red(X2,n10)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u912,axiom,
    red(n9,n11) ).

cnf(u920,axiom,
    red(n9,n12) ).

cnf(u928,axiom,
    red(n10,n11) ).

cnf(u936,axiom,
    red(n10,n12) ).

cnf(u944,axiom,
    red(n11,n12) ).

cnf(u1718,axiom,
    ~ red(n4,n4) ).

cnf(u1763,axiom,
    ( ~ red(X1,n2)
    | ~ red(X1,n5)
    | ~ red(X0,n5)
    | ~ red(X0,X1)
    | ~ red(X0,n4)
    | ~ red(X0,n2)
    | ~ red(X1,n4) ) ).

cnf(u1778,axiom,
    red(n2,n1) ).

cnf(u1814,axiom,
    ~ red(n2,n2) ).

cnf(u2074,axiom,
    ( ~ red(X0,n5)
    | ~ red(X0,n7)
    | ~ red(n4,X0)
    | ~ red(X0,n6) ) ).

cnf(u2078,axiom,
    ( ~ red(X1,n5)
    | ~ red(X1,n6)
    | ~ red(X0,n6)
    | ~ red(X0,X1)
    | ~ red(X0,n5)
    | ~ red(X1,n4)
    | ~ red(X0,n4) ) ).

cnf(u2187,axiom,
    ~ red(n6,n6) ).

cnf(u2406,axiom,
    ( ~ less_than(X1,n3)
    | red(n3,X0)
    | red(X1,n3)
    | red(X1,n5)
    | red(n1,X0)
    | red(n5,X0)
    | red(n1,X1)
    | ~ less_than(n1,X1)
    | ~ less_than(n5,X0)
    | red(X1,X0)
    | ~ less_than(X1,X0) ) ).

cnf(u2535,axiom,
    ~ red(n3,n1) ).

cnf(u2539,axiom,
    ( ~ less_than(X1,n1)
    | red(n1,X0)
    | red(X1,n1)
    | red(X1,n5)
    | red(n3,X0)
    | red(n5,X0)
    | red(n3,X1)
    | ~ less_than(n3,X1)
    | ~ less_than(n5,X0)
    | red(X1,X0)
    | ~ less_than(X1,X0) ) ).

cnf(u2544,axiom,
    ( ~ less_than(X1,n2)
    | red(n2,X0)
    | red(X1,n2)
    | red(X1,n5)
    | red(n3,X0)
    | red(n5,X0)
    | red(n3,X1)
    | ~ less_than(n3,X1)
    | ~ less_than(n5,X0)
    | red(X1,X0)
    | ~ less_than(X1,X0) ) ).

cnf(u2560,axiom,
    ~ less_than(n3,n1) ).

cnf(u2575,axiom,
    ~ less_than(n1,n1) ).

cnf(u2652,axiom,
    ~ red(n4,n2) ).

cnf(u2916,axiom,
    ~ red(n5,n3) ).

cnf(u3342,axiom,
    ( ~ red(X0,n5)
    | ~ red(X0,n10)
    | ~ red(n4,X0)
    | ~ red(X0,n6) ) ).

cnf(u3453,axiom,
    ~ red(n5,n4) ).

cnf(u3551,axiom,
    ~ red(n9,n7) ).

cnf(u3555,axiom,
    ~ red(n9,n9) ).

cnf(u3565,axiom,
    ~ red(n10,n9) ).

cnf(u3578,axiom,
    ~ red(n11,n9) ).

cnf(u3637,axiom,
    ~ red(n8,n7) ).

cnf(u3731,axiom,
    ~ red(n12,n11) ).

cnf(u3826,axiom,
    ~ red(n8,n8) ).

cnf(u3886,axiom,
    ~ red(n10,n10) ).

cnf(u4082,axiom,
    ( ~ red(X0,n3)
    | ~ red(X0,n12)
    | ~ red(X0,n11)
    | ~ red(X0,n10) ) ).

cnf(u4092,axiom,
    ( ~ red(X0,n8)
    | ~ red(X0,n11)
    | ~ red(n3,X0)
    | ~ red(X0,n10) ) ).

cnf(u4097,axiom,
    ( ~ red(X0,n6)
    | ~ red(X0,n11)
    | ~ red(n3,X0)
    | ~ red(X0,n10) ) ).

cnf(u4106,axiom,
    ( ~ red(X0,n4)
    | ~ red(X0,n10)
    | ~ red(n3,X0)
    | ~ red(X0,n8) ) ).

cnf(u4110,axiom,
    ( ~ red(X1,n3)
    | ~ red(X1,n10)
    | ~ red(X0,n10)
    | ~ red(X0,X1)
    | ~ red(X0,n8)
    | ~ red(X0,n3)
    | ~ red(X1,n8) ) ).

cnf(u4114,axiom,
    ( ~ red(X1,n3)
    | ~ red(X1,n10)
    | ~ red(X0,n10)
    | ~ red(X0,X1)
    | ~ red(X0,n6)
    | ~ red(X0,n3)
    | ~ red(X1,n6) ) ).

cnf(u4118,axiom,
    ( ~ red(X1,n3)
    | ~ red(X1,n10)
    | ~ red(X0,n10)
    | ~ red(X0,X1)
    | ~ red(X0,n4)
    | ~ red(X0,n3)
    | ~ red(X1,n4) ) ).

cnf(u4133,axiom,
    ( ~ red(X0,n7)
    | ~ red(X0,n12)
    | ~ red(X0,n11)
    | ~ red(X0,n10) ) ).

cnf(u4143,axiom,
    ( ~ less_than(X1,n9)
    | red(X1,n10)
    | red(X0,X1)
    | red(X0,n9)
    | ~ less_than(X0,X1)
    | red(n2,X0)
    | ~ less_than(n2,X0)
    | ~ less_than(X0,n10)
    | red(n2,X1)
    | red(X1,n9)
    | red(X0,n10) ) ).

cnf(u4160,axiom,
    ( ~ less_than(X1,n8)
    | red(X1,n9)
    | red(X0,X1)
    | red(X0,n8)
    | ~ less_than(X0,X1)
    | red(n2,X0)
    | ~ less_than(n2,X0)
    | ~ less_than(X0,n9)
    | red(n2,X1)
    | red(X1,n8)
    | red(X0,n9) ) ).

cnf(u4169,axiom,
    ( ~ less_than(n6,X0)
    | red(X1,n12)
    | red(X0,X1)
    | red(X0,n8)
    | ~ less_than(X0,X1)
    | red(n6,X0)
    | ~ less_than(X0,n12)
    | ~ less_than(X1,n8)
    | red(n6,X1)
    | red(X1,n8)
    | red(X0,n12) ) ).

cnf(u4301,axiom,
    ~ less_than(n12,n12) ).

cnf(u4320,axiom,
    ~ less_than(n12,n8) ).

cnf(u234,axiom,
    less_than(n1,n11) ).

cnf(u123,axiom,
    ( ~ less_than(n6,X0)
    | less_than(n2,X0) ) ).

cnf(u963,axiom,
    ( ~ red(X2,n2)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,X1)
    | ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X2,n7) ) ).

cnf(u95,axiom,
    less_than(n9,n12) ).

cnf(u1025,axiom,
    ( ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,X1)
    | ~ red(X0,n4)
    | ~ red(X1,n4) ) ).

cnf(u1606,axiom,
    ( ~ red(X1,n11)
    | ~ red(X1,n10)
    | ~ red(X0,n11)
    | ~ red(X0,n10)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12) ) ).

cnf(u228,axiom,
    ( ~ less_than(n8,X0)
    | less_than(n1,X0) ) ).

cnf(u117,axiom,
    less_than(n1,n6) ).

cnf(u3435,axiom,
    ( ~ red(X1,n6)
    | ~ red(X1,n4)
    | ~ red(X0,n6)
    | ~ red(X0,n4)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10) ) ).

cnf(u242,axiom,
    ( ~ less_than(n9,X0)
    | less_than(n1,X0) ) ).

cnf(u971,axiom,
    ( ~ red(X2,n3)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,X1)
    | ~ red(X0,n6)
    | ~ red(X1,n6)
    | ~ red(X2,n6) ) ).

cnf(u136,axiom,
    less_than(n3,n9) ).

cnf(u25,axiom,
    less_than(n5,n6) ).

cnf(u1562,axiom,
    ( ~ red(X0,n8)
    | ~ red(X1,n8)
    | ~ red(X0,n10)
    | ~ red(X1,n10)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u1010,axiom,
    ( ~ red(X2,n9)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n9)
    | ~ red(X1,n9)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12)
    | ~ red(X2,n12) ) ).

cnf(u166,axiom,
    ( ~ green(X3,X2)
    | ~ green(X0,X2)
    | ~ green(X2,X1)
    | ~ green(X0,X1)
    | ~ green(X3,X4)
    | ~ green(X0,X3)
    | red(X1,X4)
    | ~ less_than(X1,X4)
    | red(X2,X4)
    | ~ less_than(X2,X4)
    | red(X3,X1)
    | ~ less_than(X3,X1)
    | red(X0,X4)
    | ~ less_than(X0,X4) ) ).

cnf(u55,axiom,
    ( ~ less_than(n2,X0)
    | less_than(n1,X0) ) ).

cnf(u981,axiom,
    ( ~ red(X2,n4)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n4)
    | ~ red(X1,n4)
    | ~ red(X0,X1)
    | ~ red(X0,n8)
    | ~ red(X1,n8)
    | ~ red(X2,n8) ) ).

cnf(u3937,axiom,
    ~ red(n1,n1) ).

cnf(u74,axiom,
    less_than(n2,n5) ).

cnf(u2488,axiom,
    ( ~ red(X1,n3)
    | ~ red(X1,n2)
    | ~ red(X0,n3)
    | ~ red(X0,n2)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u63,axiom,
    ( ~ less_than(n10,X0)
    | less_than(n9,X0) ) ).

cnf(u96,axiom,
    ( ~ less_than(n12,X0)
    | less_than(n10,X0) ) ).

cnf(u68,axiom,
    ( ~ less_than(n3,X0)
    | less_than(n1,X0) ) ).

cnf(u233,axiom,
    ( ~ less_than(n10,X0)
    | less_than(n3,X0) ) ).

cnf(u126,axiom,
    ( ~ less_than(n7,X0)
    | less_than(n3,X0) ) ).

cnf(u82,axiom,
    less_than(n5,n8) ).

cnf(u1605,axiom,
    ( ~ red(X0,n9)
    | ~ red(X1,n9)
    | ~ red(X0,n11)
    | ~ red(X1,n11)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12) ) ).

cnf(u135,axiom,
    less_than(n4,n9) ).

cnf(u2479,axiom,
    ( ~ red(X2,n3)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X2,n2)
    | ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,X1) ) ).

cnf(u104,axiom,
    ( ~ less_than(n7,X0)
    | less_than(n4,X0) ) ).

cnf(u3462,axiom,
    ( ~ less_than(X1,n2)
    | ~ less_than(X1,X0)
    | red(X1,X0)
    | ~ less_than(n6,X0)
    | ~ less_than(n2,X1)
    | red(n2,X1)
    | red(n6,X0)
    | red(n2,X0)
    | red(X1,n6)
    | red(X1,n2) ) ).

cnf(u241,axiom,
    ( ~ less_than(n12,X0)
    | less_than(n5,X0) ) ).

cnf(u950,axiom,
    ( ~ red(X2,n1)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,X1)
    | ~ red(X0,n4)
    | ~ red(X1,n4)
    | ~ red(X2,n4) ) ).

cnf(u4206,axiom,
    ( ~ less_than(X1,n1)
    | ~ less_than(X1,X0)
    | red(X1,X0)
    | ~ less_than(n6,X0)
    | ~ less_than(n1,X1)
    | red(n1,X1)
    | red(n6,X0)
    | red(n1,X0)
    | red(X1,n6)
    | red(X1,n1) ) ).

cnf(u28,axiom,
    less_than(n8,n9) ).

cnf(u165,axiom,
    ( ~ less_than(n8,X0)
    | less_than(n3,X0) ) ).

cnf(u957,axiom,
    ( ~ red(X2,n1)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11)
    | ~ red(X2,n11) ) ).

cnf(u73,axiom,
    less_than(n4,n6) ).

cnf(u1560,axiom,
    ( ~ red(X0,n6)
    | ~ red(X1,n6)
    | ~ red(X0,n10)
    | ~ red(X1,n10)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u103,axiom,
    less_than(n3,n7) ).

cnf(u4245,axiom,
    ( ~ red(X0,n3)
    | ~ red(X0,n4)
    | ~ red(X0,n6)
    | ~ red(X0,n10) ) ).

cnf(u4259,axiom,
    ( ~ red(X1,n7)
    | ~ red(X1,n6)
    | ~ red(X0,n7)
    | ~ red(X0,n6)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10) ) ).

cnf(u81,axiom,
    less_than(n6,n8) ).

cnf(u4295,axiom,
    ( ~ less_than(n8,X0)
    | red(n8,X0)
    | red(X0,n12)
    | ~ less_than(X0,n8)
    | red(n6,X0)
    | red(X0,n8) ) ).

cnf(u1581,axiom,
    ( ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,n10)
    | ~ red(X1,n10)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12) ) ).

cnf(u352,axiom,
    ( ~ green(X0,X1)
    | ~ green(X2,X3)
    | red(X3,X1)
    | ~ less_than(X3,X1)
    | red(X4,X1)
    | red(X0,X3)
    | red(X2,X1)
    | red(X0,X4)
    | ~ less_than(X0,X4)
    | red(X2,X0)
    | ~ less_than(X2,X0)
    | red(X2,X4)
    | red(X4,X3)
    | ~ less_than(X4,X3) ) ).

cnf(u111,axiom,
    less_than(n7,n11) ).

cnf(u988,axiom,
    ( ~ red(X2,n5)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,X1)
    | ~ red(X0,n8)
    | ~ red(X1,n8)
    | ~ red(X2,n8) ) ).

cnf(u1525,axiom,
    ( ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X0,n9)
    | ~ red(X1,n9)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u3806,axiom,
    ( ~ red(n7,X0)
    | ~ red(X0,n11)
    | ~ red(X0,n9)
    | ~ red(X0,n12) ) ).

cnf(u144,axiom,
    ( ~ less_than(n10,X0)
    | less_than(n6,X0) ) ).

cnf(u4183,axiom,
    ( ~ red(X2,n1)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,X1)
    | ~ red(X0,n9)
    | ~ red(X1,n9)
    | ~ red(X2,n9) ) ).

cnf(u244,axiom,
    ( ~ less_than(n10,X0)
    | less_than(n2,X0) ) ).

cnf(u3782,axiom,
    ( ~ red(X0,n7)
    | ~ red(X0,n11)
    | ~ red(n2,X0)
    | ~ red(X0,n12) ) ).

cnf(u130,axiom,
    less_than(n2,n8) ).

cnf(u990,axiom,
    ( ~ red(X2,n5)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10)
    | ~ red(X2,n10) ) ).

cnf(u987,axiom,
    ( ~ red(X2,n5)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,X1)
    | ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X2,n7) ) ).

cnf(u2986,axiom,
    ( ~ red(n6,X0)
    | ~ red(X0,n9)
    | ~ red(X0,n7)
    | ~ red(X0,n11) ) ).

cnf(u2694,axiom,
    ( ~ red(X1,n5)
    | ~ red(X1,n4)
    | ~ red(X0,n5)
    | ~ red(X0,n4)
    | ~ red(X0,X1)
    | ~ red(X0,n8)
    | ~ red(X1,n8) ) ).

cnf(u997,axiom,
    ( ~ red(X2,n6)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n6)
    | ~ red(X1,n6)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11)
    | ~ red(X2,n11) ) ).

cnf(u1603,axiom,
    ( ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X0,n11)
    | ~ red(X1,n11)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12) ) ).

cnf(u76,axiom,
    less_than(n5,n7) ).

cnf(u4338,axiom,
    ( ~ red(X0,n7)
    | ~ red(X0,n10)
    | ~ red(n6,X0)
    | ~ red(X0,n11) ) ).

cnf(u3190,axiom,
    ( ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12) ) ).

cnf(u90,axiom,
    less_than(n9,n11) ).

cnf(u1005,axiom,
    ( ~ red(X2,n8)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n8)
    | ~ red(X1,n8)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10)
    | ~ red(X2,n10) ) ).

cnf(u227,axiom,
    ( ~ green(X0,X3)
    | ~ green(X1,X2)
    | ~ green(X0,X2)
    | ~ green(X3,X4)
    | ~ green(X0,X1)
    | red(X2,X4)
    | ~ less_than(X2,X4)
    | red(X1,X4)
    | ~ less_than(X1,X4)
    | red(X3,X2)
    | ~ less_than(X3,X2)
    | red(X0,X4)
    | ~ less_than(X0,X4)
    | red(X3,X1)
    | ~ less_than(X3,X1) ) ).

cnf(u112,axiom,
    ( ~ less_than(n11,X0)
    | less_than(n8,X0) ) ).

cnf(u2480,axiom,
    ( ~ red(X1,n3)
    | ~ red(X1,n2)
    | ~ red(X0,n3)
    | ~ red(X0,n2)
    | ~ red(X0,X1)
    | ~ red(X0,n4)
    | ~ red(X1,n4) ) ).

cnf(u2489,axiom,
    ( ~ red(X1,n3)
    | ~ red(X1,n2)
    | ~ red(X0,n3)
    | ~ red(X0,n2)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12) ) ).

cnf(u306,axiom,
    ( ~ less_than(n11,X0)
    | less_than(n1,X0) ) ).

cnf(u98,axiom,
    ( ~ less_than(n5,X0)
    | less_than(n2,X0) ) ).

cnf(u958,axiom,
    ( ~ red(X2,n1)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12)
    | ~ red(X2,n12) ) ).

cnf(u151,axiom,
    less_than(n6,n12) ).

cnf(u1598,axiom,
    ( ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,n11)
    | ~ red(X1,n11)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12) ) ).

cnf(u173,axiom,
    less_than(n4,n11) ).

cnf(u4192,axiom,
    ( ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,n10)
    | ~ red(X1,n10)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u129,axiom,
    less_than(n3,n8) ).

cnf(u22,axiom,
    less_than(n2,n3) ).

cnf(u1269,axiom,
    ( ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,n6)
    | ~ red(X1,n6)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10) ) ).

cnf(u159,axiom,
    ( ~ less_than(n6,X0)
    | less_than(n1,X0) ) ).

cnf(u1466,axiom,
    ( ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,n8)
    | ~ red(X1,n8)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u58,axiom,
    ( ~ less_than(n5,X0)
    | less_than(n4,X0) ) ).

cnf(u1119,axiom,
    ( ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,n4)
    | ~ red(X1,n4)
    | ~ red(X0,X1)
    | ~ red(X0,n8)
    | ~ red(X1,n8) ) ).

cnf(u1041,axiom,
    ( ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12) ) ).

cnf(u67,axiom,
    less_than(n1,n3) ).

cnf(u89,axiom,
    ( ~ less_than(n10,X0)
    | less_than(n8,X0) ) ).

cnf(u4272,axiom,
    ( ~ less_than(X0,n2)
    | red(X0,n9)
    | red(X0,n2)
    | red(n2,X0)
    | ~ less_than(n2,X0)
    | ~ less_than(X0,n10)
    | red(X0,n10) ) ).

cnf(u230,axiom,
    ( ~ less_than(n9,X0)
    | less_than(n2,X0) ) ).

cnf(u996,axiom,
    ( ~ red(X2,n6)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n6)
    | ~ red(X1,n6)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10)
    | ~ red(X2,n10) ) ).

cnf(u4258,axiom,
    ( ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10) ) ).

cnf(u97,axiom,
    less_than(n1,n5) ).

cnf(u138,axiom,
    ( ~ less_than(n9,X0)
    | less_than(n5,X0) ) ).

cnf(u27,axiom,
    less_than(n7,n8) ).

cnf(u995,axiom,
    ( ~ red(X2,n6)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n6)
    | ~ red(X1,n6)
    | ~ red(X0,X1)
    | ~ red(X0,n9)
    | ~ red(X1,n9)
    | ~ red(X2,n9) ) ).

cnf(u1597,axiom,
    ( ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,n11)
    | ~ red(X1,n11)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12) ) ).

cnf(u967,axiom,
    ( ~ red(X2,n2)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11)
    | ~ red(X2,n11) ) ).

cnf(u132,axiom,
    ( ~ less_than(n8,X0)
    | less_than(n4,X0) ) ).

cnf(u21,axiom,
    less_than(n1,n2) ).

cnf(u353,axiom,
    ( ~ green(X0,X1)
    | red(X1,X2)
    | ~ less_than(X1,X2)
    | red(X3,X2)
    | red(X4,X1)
    | red(X0,X2)
    | red(X4,X3)
    | ~ less_than(X4,X3)
    | red(X0,X4)
    | ~ less_than(X0,X4)
    | red(X0,X3)
    | red(X3,X1)
    | ~ less_than(X3,X1)
    | red(X4,X2)
    | ~ less_than(X4,X2) ) ).

cnf(u354,axiom,
    ( ~ less_than(X4,X0)
    | ~ less_than(X0,X1)
    | red(X2,X1)
    | red(X3,X0)
    | red(X4,X1)
    | red(X3,X2)
    | ~ less_than(X3,X2)
    | red(X4,X3)
    | ~ less_than(X4,X3)
    | red(X4,X2)
    | red(X2,X0)
    | ~ less_than(X2,X0)
    | red(X3,X1)
    | ~ less_than(X3,X1)
    | red(X4,X0)
    | red(X0,X1) ) ).

cnf(u1006,axiom,
    ( ~ red(X2,n8)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n8)
    | ~ red(X1,n8)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11)
    | ~ red(X2,n11) ) ).

cnf(u1003,axiom,
    ( ~ red(X2,n7)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12)
    | ~ red(X2,n12) ) ).

cnf(u2710,axiom,
    ( ~ red(X0,n5)
    | ~ red(X0,n8)
    | ~ red(n4,X0)
    | ~ red(X0,n10) ) ).

cnf(u84,axiom,
    less_than(n7,n9) ).

cnf(u57,axiom,
    ( ~ less_than(n4,X0)
    | less_than(n3,X0) ) ).

cnf(u221,axiom,
    ( ~ less_than(n11,X0)
    | less_than(n5,X0) ) ).

cnf(u70,axiom,
    less_than(n3,n5) ).

cnf(u1013,axiom,
    ( ~ red(X2,n11)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n11)
    | ~ red(X1,n11)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12)
    | ~ red(X2,n12) ) ).

cnf(u3767,axiom,
    ( ~ red(X0,n2)
    | ~ red(X0,n11)
    | ~ red(n1,X0)
    | ~ red(X0,n12) ) ).

cnf(u92,axiom,
    ( ~ less_than(n11,X0)
    | less_than(n9,X0) ) ).

cnf(u285,axiom,
    ( ~ less_than(n12,X0)
    | less_than(n3,X0) ) ).

cnf(u106,axiom,
    ( ~ less_than(n8,X0)
    | less_than(n5,X0) ) ).

cnf(u1021,axiom,
    ( ~ red(X2,n1)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,X1)
    | ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X2,n2) ) ).

cnf(u308,axiom,
    ( ~ green(X2,X0)
    | ~ green(X2,X1)
    | ~ green(X3,X4)
    | ~ green(X0,X1)
    | red(X1,X4)
    | ~ less_than(X1,X4)
    | red(X0,X4)
    | ~ less_than(X0,X4)
    | red(X3,X1)
    | ~ less_than(X3,X1)
    | red(X2,X4)
    | ~ less_than(X2,X4)
    | red(X3,X0)
    | ~ less_than(X3,X0)
    | red(X2,X3)
    | ~ less_than(X2,X3) ) ).

cnf(u30,axiom,
    less_than(n10,n11) ).

cnf(u114,axiom,
    ( ~ less_than(n12,X0)
    | less_than(n9,X0) ) ).

cnf(u3763,axiom,
    ( ~ red(X0,n1)
    | ~ red(X0,n11)
    | ~ red(n2,X0)
    | ~ red(X0,n12) ) ).

cnf(u167,axiom,
    less_than(n2,n9) ).

cnf(u189,axiom,
    less_than(n2,n10) ).

cnf(u3204,axiom,
    ( ~ red(X0,n5)
    | ~ red(X0,n7)
    | ~ red(n2,X0)
    | ~ red(X0,n12) ) ).

cnf(u1424,axiom,
    ( ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12) ) ).

cnf(u75,axiom,
    ( ~ less_than(n5,X0)
    | less_than(n3,X0) ) ).

cnf(u1342,axiom,
    ( ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,n6)
    | ~ red(X1,n6)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u175,axiom,
    ( ~ less_than(n11,X0)
    | less_than(n6,X0) ) ).

cnf(u60,axiom,
    ( ~ less_than(n7,X0)
    | less_than(n6,X0) ) ).

cnf(u69,axiom,
    less_than(n2,n4) ).

cnf(u238,axiom,
    less_than(n2,n12) ).

cnf(u83,axiom,
    ( ~ less_than(n8,X0)
    | less_than(n6,X0) ) ).

cnf(u960,axiom,
    ( ~ red(X2,n2)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,X1)
    | ~ red(X0,n4)
    | ~ red(X1,n4)
    | ~ red(X2,n4) ) ).

cnf(u4283,axiom,
    ( ~ less_than(X0,n2)
    | red(X0,n8)
    | red(X0,n2)
    | red(n2,X0)
    | ~ less_than(n2,X0)
    | ~ less_than(X0,n9)
    | red(X0,n9) ) ).

cnf(u105,axiom,
    less_than(n4,n8) ).

cnf(u1117,axiom,
    ( ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,n4)
    | ~ red(X1,n4)
    | ~ red(X0,X1)
    | ~ red(X0,n8)
    | ~ red(X1,n8) ) ).

cnf(u1421,axiom,
    ( ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12) ) ).

cnf(u1012,axiom,
    ( ~ red(X2,n10)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n10)
    | ~ red(X1,n10)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12)
    | ~ red(X2,n12) ) ).

cnf(u968,axiom,
    ( ~ red(X2,n2)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12)
    | ~ red(X2,n12) ) ).

cnf(u4190,axiom,
    ( ~ red(X2,n3)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10)
    | ~ red(X2,n10) ) ).

cnf(u29,axiom,
    less_than(n9,n10) ).

cnf(u3585,axiom,
    ( ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,n4)
    | ~ red(X1,n4)
    | ~ red(X0,X1)
    | ~ red(X0,n6)
    | ~ red(X1,n6) ) ).

cnf(u113,axiom,
    less_than(n8,n12) ).

cnf(u4185,axiom,
    ( ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,n9)
    | ~ red(X1,n9)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12) ) ).

cnf(u969,axiom,
    ( ~ red(X2,n3)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,X1)
    | ~ red(X0,n4)
    | ~ red(X1,n4)
    | ~ red(X2,n4) ) ).

cnf(u1011,axiom,
    ( ~ red(X2,n10)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n10)
    | ~ red(X1,n10)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11)
    | ~ red(X2,n11) ) ).

cnf(u4349,axiom,
    ( ~ red(X0,n5)
    | ~ red(X0,n6)
    | ~ red(X0,n7)
    | ~ red(X0,n10) ) ).

cnf(u347,axiom,
    ( ~ green(X4,X1)
    | ~ green(X2,X3)
    | ~ green(X0,X1)
    | red(X1,X3)
    | ~ less_than(X1,X3)
    | red(X4,X3)
    | ~ less_than(X4,X3)
    | red(X2,X1)
    | ~ less_than(X2,X1)
    | red(X0,X3)
    | red(X2,X4)
    | ~ less_than(X2,X4)
    | red(X0,X2)
    | ~ less_than(X0,X2)
    | red(X0,X4) ) ).

cnf(u983,axiom,
    ( ~ red(X2,n4)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n4)
    | ~ red(X1,n4)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10)
    | ~ red(X2,n10) ) ).

cnf(u176,axiom,
    less_than(n5,n12) ).

cnf(u4215,axiom,
    ~ red(n3,n3) ).

cnf(u148,axiom,
    less_than(n5,n11) ).

cnf(u78,axiom,
    ( ~ less_than(n6,X0)
    | less_than(n4,X0) ) ).

cnf(u162,axiom,
    ( ~ less_than(n7,X0)
    | less_than(n2,X0) ) ).

cnf(u977,axiom,
    ( ~ red(X2,n3)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12)
    | ~ red(X2,n12) ) ).

cnf(u100,axiom,
    less_than(n2,n6) ).

cnf(u3185,axiom,
    ( ~ red(X2,n2)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,X1)
    | ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X2,n5) ) ).

cnf(u184,axiom,
    ( ~ less_than(n7,X0)
    | less_than(n1,X0) ) ).

cnf(u237,axiom,
    ( ~ less_than(n11,X0)
    | less_than(n4,X0) ) ).

cnf(u3772,axiom,
    ( ~ red(X0,n3)
    | ~ red(X0,n11)
    | ~ red(n2,X0)
    | ~ red(X0,n12) ) ).

cnf(u86,axiom,
    ( ~ less_than(n9,X0)
    | less_than(n7,X0) ) ).

cnf(u251,axiom,
    ( ~ less_than(n12,X0)
    | less_than(n4,X0) ) ).

cnf(u1599,axiom,
    ( ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,n11)
    | ~ red(X1,n11)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12) ) ).

cnf(u223,axiom,
    less_than(n3,n12) ).

cnf(u108,axiom,
    ( ~ less_than(n9,X0)
    | less_than(n6,X0) ) ).

cnf(u1410,axiom,
    ( ~ red(X1,n7)
    | ~ red(X1,n6)
    | ~ red(X0,n7)
    | ~ red(X0,n6)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u153,axiom,
    ( ~ less_than(n12,X0)
    | less_than(n8,X0) ) ).

cnf(u183,axiom,
    less_than(n1,n9) ).

cnf(u4197,axiom,
    ( ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X0,n10)
    | ~ red(X1,n10)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12) ) ).

cnf(u24,axiom,
    less_than(n4,n5) ).

cnf(u1679,axiom,
    ( ~ less_than(X1,n1)
    | ~ less_than(X1,X0)
    | red(X1,X0)
    | ~ less_than(n3,X0)
    | ~ less_than(n1,X1)
    | red(n1,X1)
    | red(n3,X0)
    | red(n1,X0)
    | red(X1,n3)
    | red(X1,n1) ) ).

cnf(u77,axiom,
    less_than(n3,n6) ).

cnf(u3610,axiom,
    ( ~ less_than(X1,n1)
    | ~ less_than(X1,X0)
    | red(X1,X0)
    | ~ less_than(n5,X0)
    | ~ less_than(n1,X1)
    | red(n1,X1)
    | red(n5,X0)
    | red(n1,X0)
    | red(X1,n5)
    | red(X1,n1) ) ).

cnf(u2696,axiom,
    ( ~ red(X1,n5)
    | ~ red(X1,n4)
    | ~ red(X0,n5)
    | ~ red(X0,n4)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10) ) ).

cnf(u91,axiom,
    less_than(n8,n11) ).

cnf(u191,axiom,
    ( ~ less_than(n8,X0)
    | less_than(n2,X0) ) ).

cnf(u196,axiom,
    less_than(n3,n11) ).

cnf(u85,axiom,
    less_than(n6,n9) ).

cnf(u99,axiom,
    ( ~ green(X2,X3)
    | ~ green(X2,X1)
    | ~ green(X0,X3)
    | ~ green(X0,X1)
    | ~ green(X1,X3)
    | ~ green(X0,X4)
    | ~ green(X2,X4)
    | ~ green(X0,X2)
    | red(X3,X4)
    | ~ less_than(X3,X4)
    | red(X1,X4)
    | ~ less_than(X1,X4) ) ).

cnf(u976,axiom,
    ( ~ red(X2,n3)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11)
    | ~ red(X2,n11) ) ).

cnf(u121,axiom,
    less_than(n2,n7) ).

cnf(u23,axiom,
    less_than(n3,n4) ).

cnf(u1385,axiom,
    ( ~ red(X1,n7)
    | ~ red(X1,n6)
    | ~ red(X0,n7)
    | ~ red(X0,n6)
    | ~ red(X0,X1)
    | ~ red(X0,n9)
    | ~ red(X1,n9) ) ).

cnf(u156,axiom,
    less_than(n7,n12) ).

cnf(u4184,axiom,
    ( ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,n9)
    | ~ red(X1,n9)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u170,axiom,
    less_than(n3,n10) ).

cnf(u59,axiom,
    ( ~ less_than(n6,X0)
    | less_than(n5,X0) ) ).

cnf(u986,axiom,
    ( ~ red(X2,n5)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,X1)
    | ~ red(X0,n6)
    | ~ red(X1,n6)
    | ~ red(X2,n6) ) ).

cnf(u31,axiom,
    less_than(n11,n12) ).

cnf(u64,axiom,
    ( ~ less_than(n11,X0)
    | less_than(n10,X0) ) ).

cnf(u201,axiom,
    less_than(n4,n12) ).

cnf(u94,axiom,
    less_than(n10,n12) ).

cnf(u178,axiom,
    ( ~ less_than(n12,X0)
    | less_than(n7,X0) ) ).

cnf(u993,axiom,
    ( ~ red(X2,n6)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n6)
    | ~ red(X1,n6)
    | ~ red(X0,X1)
    | ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X2,n7) ) ).

cnf(u72,axiom,
    ( ~ less_than(n4,X0)
    | less_than(n2,X0) ) ).

cnf(u310,axiom,
    ( ~ less_than(n12,X0)
    | less_than(n2,X0) ) ).

cnf(u209,axiom,
    less_than(n1,n10) ).

cnf(u102,axiom,
    ( ~ green(X2,X4)
    | ~ green(X2,X3)
    | ~ green(X2,X1)
    | ~ green(X1,X3)
    | ~ green(X0,X1)
    | ~ green(X0,X4)
    | ~ green(X2,X0)
    | red(X3,X4)
    | ~ less_than(X3,X4)
    | red(X1,X4)
    | ~ less_than(X1,X4)
    | red(X0,X3)
    | ~ less_than(X0,X3) ) ).

cnf(u1406,axiom,
    ( ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u124,axiom,
    less_than(n1,n7) ).

cnf(u4196,axiom,
    ( ~ red(X2,n7)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10)
    | ~ red(X2,n10) ) ).

cnf(u954,axiom,
    ( ~ red(X2,n1)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,X1)
    | ~ red(X0,n8)
    | ~ red(X1,n8)
    | ~ red(X2,n8) ) ).

cnf(u4333,axiom,
    ~ red(n5,n5) ).

cnf(u147,axiom,
    less_than(n6,n11) ).

cnf(u32,axiom,
    ( green(X0,X1)
    | red(X0,X1)
    | ~ less_than(X0,X1) ) ).

cnf(u169,axiom,
    ( ~ less_than(n9,X0)
    | less_than(n4,X0) ) ).

cnf(u62,axiom,
    ( ~ less_than(n9,X0)
    | less_than(n8,X0) ) ).

cnf(u4191,axiom,
    ( ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,n10)
    | ~ red(X1,n10)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12) ) ).

cnf(u1455,axiom,
    ( ~ red(X0,n4)
    | ~ red(X1,n4)
    | ~ red(X0,n8)
    | ~ red(X1,n8)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10) ) ).

cnf(u1541,axiom,
    ( ~ red(X1,n9)
    | ~ red(X1,n7)
    | ~ red(X0,n9)
    | ~ red(X0,n7)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12) ) ).

cnf(u71,axiom,
    less_than(n1,n4) ).

cnf(u204,axiom,
    ( ~ less_than(n9,X0)
    | less_than(n3,X0) ) ).

cnf(u93,axiom,
    ( ~ less_than(n4,X0)
    | less_than(n1,X0) ) ).

cnf(u3429,axiom,
    ( ~ red(X2,n4)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n4)
    | ~ red(X1,n4)
    | ~ red(X0,X1)
    | ~ red(X0,n6)
    | ~ red(X1,n6)
    | ~ red(X2,n6) ) ).

cnf(u218,axiom,
    less_than(n2,n11) ).

cnf(u107,axiom,
    less_than(n5,n9) ).

cnf(u79,axiom,
    less_than(n4,n7) ).

cnf(u3546,axiom,
    ~ red(n7,n7) ).

cnf(u212,axiom,
    ( ~ less_than(n10,X0)
    | less_than(n4,X0) ) ).

cnf(u101,axiom,
    ( ~ less_than(n6,X0)
    | less_than(n3,X0) ) ).

cnf(u1039,axiom,
    ( ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u142,axiom,
    less_than(n4,n10) ).

cnf(u226,axiom,
    ( ~ less_than(n12,X0)
    | less_than(n6,X0) ) ).

cnf(u992,axiom,
    ( ~ red(X2,n5)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,X1)
    | ~ red(X0,n12)
    | ~ red(X1,n12)
    | ~ red(X2,n12) ) ).

cnf(u4187,axiom,
    ( ~ red(X0,n9)
    | ~ red(X0,n11)
    | ~ red(n1,X0)
    | ~ red(X0,n12) ) ).

cnf(u248,axiom,
    less_than(n1,n12) ).

cnf(u1468,axiom,
    ( ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,n8)
    | ~ red(X1,n8)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u150,axiom,
    ( ~ less_than(n11,X0)
    | less_than(n7,X0) ) ).

cnf(u1000,axiom,
    ( ~ red(X2,n7)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X0,X1)
    | ~ red(X0,n9)
    | ~ red(X1,n9)
    | ~ red(X2,n9) ) ).

cnf(u172,axiom,
    ( ~ less_than(n10,X0)
    | less_than(n5,X0) ) ).

cnf(u61,axiom,
    ( ~ less_than(n8,X0)
    | less_than(n7,X0) ) ).

cnf(u4328,axiom,
    ( ~ red(X0,n7)
    | ~ red(X0,n10)
    | ~ red(n5,X0)
    | ~ red(X0,n12) ) ).

cnf(u1002,axiom,
    ( ~ red(X2,n7)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11)
    | ~ red(X2,n11) ) ).

cnf(u973,axiom,
    ( ~ red(X2,n3)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,X1)
    | ~ red(X0,n8)
    | ~ red(X1,n8)
    | ~ red(X2,n8) ) ).

cnf(u80,axiom,
    ( ~ less_than(n7,X0)
    | less_than(n5,X0) ) ).

cnf(u274,axiom,
    ( ~ less_than(n10,X0)
    | less_than(n1,X0) ) ).

cnf(u110,axiom,
    ( ~ less_than(n10,X0)
    | less_than(n7,X0) ) ).

cnf(u66,axiom,
    ( ~ green(X2,X4)
    | ~ green(X0,X2)
    | ~ green(X1,X2)
    | ~ green(X0,X3)
    | ~ green(X1,X3)
    | ~ green(X2,X3)
    | ~ green(X0,X4)
    | ~ green(X1,X4)
    | ~ green(X0,X1)
    | red(X3,X4)
    | ~ less_than(X3,X4) ) ).

cnf(u1229,axiom,
    ( ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,n6)
    | ~ red(X1,n6)
    | ~ red(X0,X1)
    | ~ red(X0,n7)
    | ~ red(X1,n7) ) ).

cnf(u1009,axiom,
    ( ~ red(X2,n9)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n9)
    | ~ red(X1,n9)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11)
    | ~ red(X2,n11) ) ).

cnf(u2922,axiom,
    ( ~ less_than(X1,n3)
    | ~ less_than(X1,X0)
    | red(X1,X0)
    | ~ less_than(n5,X0)
    | ~ less_than(n3,X1)
    | red(n3,X1)
    | red(n5,X0)
    | red(n3,X0)
    | red(X1,n5)
    | red(X1,n3) ) ).

cnf(u247,axiom,
    ( ~ less_than(n11,X0)
    | less_than(n3,X0) ) ).

cnf(u88,axiom,
    less_than(n7,n10) ).

cnf(u141,axiom,
    less_than(n5,n10) ).

cnf(u281,axiom,
    ( ~ less_than(n11,X0)
    | less_than(n2,X0) ) ).

cnf(u118,axiom,
    ( ~ less_than(n5,X0)
    | less_than(n1,X0) ) ).

cnf(u311,axiom,
    ( ~ less_than(n12,X0)
    | less_than(n1,X0) ) ).

cnf(u3187,axiom,
    ( ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,X1)
    | ~ red(X0,n7)
    | ~ red(X1,n7) ) ).

cnf(u1456,axiom,
    ( ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,n8)
    | ~ red(X1,n8)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10) ) ).

cnf(u26,axiom,
    less_than(n6,n7) ).

cnf(u163,axiom,
    less_than(n1,n8) ).

cnf(u4198,axiom,
    ( ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X0,n10)
    | ~ red(X1,n10)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u34,axiom,
    ( ~ less_than(X0,X1)
    | ~ less_than(X1,X2)
    | less_than(X0,X2) ) ).

cnf(u2692,axiom,
    ( ~ red(X2,n5)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n4)
    | ~ red(X1,n4)
    | ~ red(X2,n4)
    | ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,X1) ) ).

cnf(u87,axiom,
    less_than(n8,n10) ).

cnf(u56,axiom,
    ( ~ less_than(n3,X0)
    | less_than(n2,X0) ) ).

cnf(u109,axiom,
    less_than(n6,n10) ).

cnf(u65,axiom,
    ( ~ less_than(n12,X0)
    | less_than(n11,X0) ) ).

cnf(u1524,axiom,
    ( ~ red(X0,n6)
    | ~ red(X1,n6)
    | ~ red(X0,n9)
    | ~ red(X1,n9)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.10/0.12  % Problem    : GRA021+1 : TPTP v8.1.2. Released v3.2.0.
% 0.10/0.13  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.15/0.35  % Computer : n006.cluster.edu
% 0.15/0.35  % Model    : x86_64 x86_64
% 0.15/0.35  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.15/0.35  % Memory   : 8042.1875MB
% 0.15/0.35  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.15/0.35  % CPULimit   : 300
% 0.15/0.35  % WCLimit    : 300
% 0.15/0.35  % DateTime   : Tue Apr 30 02:06:35 EDT 2024
% 0.15/0.35  % CPUTime    : 
% 0.15/0.35  % (25389)Running in auto input_syntax mode. Trying TPTP
% 0.15/0.36  % (25396)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2:si=on:rtra=on:rawr=on:rp=on:fmbksg=on_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.36  Detected minimum model sizes of [1]
% 0.15/0.36  Detected maximum model sizes of [12]
% 0.15/0.36  TRYING [1]
% 0.15/0.36  TRYING [2]
% 0.15/0.36  TRYING [3]
% 0.15/0.36  TRYING [4]
% 0.15/0.37  % (25391)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.15/0.37  % (25390)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.15/0.37  % (25393)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.15/0.37  % (25394)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.15/0.37  % (25392)dis-2_2:3_amm=sco:anc=none:bce=on:fsr=off:gsp=on:nm=16:nwc=1.2:nicw=on:sac=on:sp=weighted_frequency_476 on theBenchmark for (476ds/0Mi)
% 0.15/0.37  % (25395)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.15/0.37  TRYING [5]
% 0.15/0.37  Detected minimum model sizes of [1]
% 0.15/0.37  Detected maximum model sizes of [12]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  Detected minimum model sizes of [1]
% 0.15/0.37  Detected maximum model sizes of [12]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  Detected minimum model sizes of [1]
% 0.15/0.37  Detected maximum model sizes of [12]
% 0.15/0.37  TRYING [1]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  TRYING [3]
% 0.15/0.37  TRYING [2]
% 0.15/0.37  TRYING [3]
% 0.15/0.37  TRYING [3]
% 0.15/0.37  TRYING [4]
% 0.15/0.37  TRYING [4]
% 0.15/0.37  TRYING [4]
% 0.15/0.38  TRYING [5]
% 0.15/0.38  TRYING [5]
% 0.15/0.38  TRYING [5]
% 0.15/0.38  TRYING [6]
% 0.15/0.39  TRYING [6]
% 0.15/0.40  TRYING [6]
% 0.15/0.40  TRYING [6]
% 0.21/0.41  TRYING [7]
% 0.21/0.45  TRYING [7]
% 0.21/0.46  TRYING [7]
% 0.21/0.46  TRYING [7]
% 0.21/0.53  TRYING [8]
% 1.82/0.60  TRYING [8]
% 1.82/0.61  TRYING [8]
% 1.82/0.61  TRYING [8]
% 2.03/0.64  % (25395)First to succeed.
% 2.03/0.64  % SZS status CounterSatisfiable for theBenchmark
% 2.03/0.64  % (25395)# SZS output start Saturation.
% See solution above
% 2.03/0.64  % (25395)------------------------------
% 2.03/0.64  % (25395)Version: Vampire 4.8 (commit 8e9376e55 on 2024-01-18 13:49:33 +0100)
% 2.03/0.64  % (25395)Termination reason: Satisfiable
% 2.03/0.64  
% 2.03/0.64  % (25395)Memory used [KB]: 2836
% 2.03/0.64  % (25395)Time elapsed: 0.271 s
% 2.03/0.64  % (25395)Instructions burned: 1002 (million)
% 2.03/0.64  % (25395)------------------------------
% 2.03/0.64  % (25395)------------------------------
% 2.03/0.64  % (25389)Success in time 0.28 s
%------------------------------------------------------------------------------