TSTP Solution File: GRA020+1 by Vampire-SAT---4.8

View Problem - Process Solution

%------------------------------------------------------------------------------
% File     : Vampire-SAT---4.8
% Problem  : GRA020+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 : n013.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 : Sun May  5 05:43:59 EDT 2024

% Result   : CounterSatisfiable 1.70s 0.60s
% Output   : Saturation 1.70s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(u38,axiom,
    ( ~ green(X0,X1)
    | ~ red(X0,X1) ) ).

cnf(u41,axiom,
    ~ goal ).

cnf(u46,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(u50,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(u346,axiom,
    red(n1,n2) ).

cnf(u349,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(u353,axiom,
    ~ red(n1,n3) ).

cnf(u357,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(u361,axiom,
    ~ red(n1,n4) ).

cnf(u365,axiom,
    ( ~ less_than(X1,n4)
    | red(n4,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(n4,X0)
    | red(X1,n4)
    | red(n1,X1)
    | ~ less_than(n1,X2)
    | red(n1,X2)
    | ~ less_than(X2,X1)
    | red(n1,X0)
    | red(X2,n4)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u370,axiom,
    red(n1,n5) ).

cnf(u373,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(u377,axiom,
    ~ red(n1,n6) ).

cnf(u381,axiom,
    ( ~ less_than(n6,X0)
    | red(n6,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n6)
    | 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(u386,axiom,
    red(n1,n7) ).

cnf(u393,axiom,
    ~ red(n1,n8) ).

cnf(u397,axiom,
    ( ~ less_than(n8,X0)
    | red(n8,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n8)
    | red(X1,n8)
    | red(n1,X1)
    | ~ less_than(n1,X2)
    | red(n1,X2)
    | ~ less_than(X2,X1)
    | red(n1,X0)
    | red(X2,n8)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u401,axiom,
    ~ red(n1,n9) ).

cnf(u405,axiom,
    ( ~ less_than(n9,X0)
    | red(n9,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n9)
    | red(X1,n9)
    | red(n1,X1)
    | ~ less_than(n1,X2)
    | red(n1,X2)
    | ~ less_than(X2,X1)
    | red(n1,X0)
    | red(X2,n9)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u410,axiom,
    red(n1,n10) ).

cnf(u418,axiom,
    red(n1,n11) ).

cnf(u426,axiom,
    red(n2,n3) ).

cnf(u433,axiom,
    ~ red(n2,n4) ).

cnf(u437,axiom,
    ( ~ less_than(X1,n4)
    | red(n4,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(n4,X0)
    | red(X1,n4)
    | red(n2,X1)
    | ~ less_than(n2,X2)
    | red(n2,X2)
    | ~ less_than(X2,X1)
    | red(n2,X0)
    | red(X2,n4)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u441,axiom,
    ~ red(n2,n5) ).

cnf(u445,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(u450,axiom,
    red(n2,n6) ).

cnf(u458,axiom,
    red(n2,n7) ).

cnf(u466,axiom,
    red(n2,n8) ).

cnf(u474,axiom,
    red(n2,n9) ).

cnf(u481,axiom,
    ~ red(n2,n10) ).

cnf(u485,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(u490,axiom,
    red(n2,n11) ).

cnf(u498,axiom,
    red(n3,n4) ).

cnf(u501,axiom,
    ( ~ less_than(X1,n4)
    | red(n4,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(n4,X0)
    | red(X1,n4)
    | red(n3,X1)
    | ~ less_than(n3,X2)
    | red(n3,X2)
    | ~ less_than(X2,X1)
    | red(n3,X0)
    | red(X2,n4)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u505,axiom,
    ~ red(n3,n5) ).

cnf(u509,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(u513,axiom,
    ~ red(n3,n6) ).

cnf(u517,axiom,
    ( ~ less_than(n6,X0)
    | red(n6,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n6)
    | red(X1,n6)
    | red(n3,X1)
    | ~ less_than(n3,X2)
    | red(n3,X2)
    | ~ less_than(X2,X1)
    | red(n3,X0)
    | red(X2,n6)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u521,axiom,
    ~ red(n3,n7) ).

cnf(u525,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(u530,axiom,
    red(n3,n8) ).

cnf(u538,axiom,
    red(n3,n9) ).

cnf(u546,axiom,
    red(n3,n10) ).

cnf(u554,axiom,
    red(n3,n11) ).

cnf(u562,axiom,
    red(n4,n5) ).

cnf(u570,axiom,
    red(n4,n6) ).

cnf(u578,axiom,
    red(n4,n7) ).

cnf(u586,axiom,
    red(n4,n8) ).

cnf(u593,axiom,
    ~ red(n4,n9) ).

cnf(u597,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(u601,axiom,
    ~ red(n4,n10) ).

cnf(u605,axiom,
    ( ~ less_than(n10,X0)
    | red(n10,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n10)
    | red(X1,n10)
    | red(n4,X1)
    | ~ less_than(n4,X2)
    | red(n4,X2)
    | ~ less_than(X2,X1)
    | red(n4,X0)
    | red(X2,n10)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u610,axiom,
    red(n4,n11) ).

cnf(u618,axiom,
    red(n5,n6) ).

cnf(u626,axiom,
    red(n5,n7) ).

cnf(u633,axiom,
    ~ red(n5,n8) ).

cnf(u637,axiom,
    ( ~ less_than(n8,X0)
    | red(n8,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n8)
    | red(X1,n8)
    | red(n5,X1)
    | ~ less_than(n5,X2)
    | red(n5,X2)
    | ~ less_than(X2,X1)
    | red(n5,X0)
    | red(X2,n8)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u642,axiom,
    red(n5,n9) ).

cnf(u650,axiom,
    red(n5,n10) ).

cnf(u658,axiom,
    red(n5,n11) ).

cnf(u666,axiom,
    red(n6,n7) ).

cnf(u674,axiom,
    red(n6,n8) ).

cnf(u682,axiom,
    red(n6,n9) ).

cnf(u685,axiom,
    ( ~ less_than(n9,X0)
    | red(n9,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n9)
    | red(X1,n9)
    | red(n6,X1)
    | ~ less_than(n6,X2)
    | red(n6,X2)
    | ~ less_than(X2,X1)
    | red(n6,X0)
    | red(X2,n9)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u689,axiom,
    ~ red(n6,n10) ).

cnf(u693,axiom,
    ( ~ less_than(n10,X0)
    | red(n10,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n10)
    | red(X1,n10)
    | red(n6,X1)
    | ~ less_than(n6,X2)
    | red(n6,X2)
    | ~ less_than(X2,X1)
    | red(n6,X0)
    | red(X2,n10)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u697,axiom,
    ~ red(n6,n11) ).

cnf(u701,axiom,
    ( ~ less_than(n11,X0)
    | red(n11,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n11)
    | red(X1,n11)
    | red(n6,X1)
    | ~ less_than(n6,X2)
    | red(n6,X2)
    | ~ less_than(X2,X1)
    | red(n6,X0)
    | red(X2,n11)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u705,axiom,
    ~ red(n7,n8) ).

cnf(u709,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(u714,axiom,
    red(n7,n9) ).

cnf(u722,axiom,
    red(n7,n10) ).

cnf(u729,axiom,
    ~ red(n7,n11) ).

cnf(u733,axiom,
    ( ~ less_than(n11,X0)
    | red(n11,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n11)
    | red(X1,n11)
    | red(n7,X1)
    | ~ less_than(n7,X2)
    | red(n7,X2)
    | ~ less_than(X2,X1)
    | red(n7,X0)
    | red(X2,n11)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u738,axiom,
    red(n8,n9) ).

cnf(u745,axiom,
    ~ red(n8,n10) ).

cnf(u749,axiom,
    ( ~ less_than(n10,X0)
    | red(n10,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n10)
    | red(X1,n10)
    | red(n8,X1)
    | ~ less_than(n8,X2)
    | red(n8,X2)
    | ~ less_than(X2,X1)
    | red(n8,X0)
    | red(X2,n10)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u754,axiom,
    red(n8,n11) ).

cnf(u757,axiom,
    ( ~ less_than(n11,X0)
    | red(n11,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n11)
    | red(X1,n11)
    | red(n8,X1)
    | ~ less_than(n8,X2)
    | red(n8,X2)
    | ~ less_than(X2,X1)
    | red(n8,X0)
    | red(X2,n11)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u762,axiom,
    red(n9,n10) ).

cnf(u769,axiom,
    ~ red(n9,n11) ).

cnf(u773,axiom,
    ( ~ less_than(n11,X0)
    | red(n11,X0)
    | ~ less_than(X2,X0)
    | red(X2,X0)
    | ~ less_than(X1,n11)
    | red(X1,n11)
    | red(n9,X1)
    | ~ less_than(n9,X2)
    | red(n9,X2)
    | ~ less_than(X2,X1)
    | red(n9,X0)
    | red(X2,n11)
    | red(X2,X1)
    | red(X1,X0) ) ).

cnf(u778,axiom,
    red(n10,n11) ).

cnf(u1383,axiom,
    ~ red(n4,n4) ).

cnf(u1441,axiom,
    red(n2,n1) ).

cnf(u1665,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(u1681,axiom,
    ~ red(n3,n1) ).

cnf(u1691,axiom,
    red(n3,n2) ).

cnf(u1902,axiom,
    ( ~ red(X1,n4)
    | ~ red(X1,n8)
    | ~ red(X0,n8)
    | ~ red(X0,X1)
    | ~ red(X0,n6)
    | ~ red(X0,n4)
    | ~ red(X1,n6) ) ).

cnf(u2031,axiom,
    ~ red(n5,n3) ).

cnf(u2063,axiom,
    ~ red(n3,n3) ).

cnf(u2212,axiom,
    ( ~ red(X0,n5)
    | ~ red(X0,n7)
    | ~ red(n4,X0)
    | ~ red(X0,n6) ) ).

cnf(u2216,axiom,
    ( ~ red(X1,n4)
    | ~ red(X1,n6)
    | ~ red(X0,n6)
    | ~ red(X0,X1)
    | ~ red(X0,n5)
    | ~ red(X0,n4)
    | ~ red(X1,n5) ) ).

cnf(u2347,axiom,
    ~ red(n7,n7) ).

cnf(u2590,axiom,
    ~ red(n9,n9) ).

cnf(u2603,axiom,
    ~ red(n10,n9) ).

cnf(u2616,axiom,
    ~ red(n11,n9) ).

cnf(u2635,axiom,
    ( ~ red(X0,n6)
    | ~ red(X0,n9)
    | ~ red(n5,X0)
    | ~ red(X0,n7) ) ).

cnf(u2639,axiom,
    ( ~ red(X1,n5)
    | ~ red(X1,n7)
    | ~ red(X0,n7)
    | ~ red(X0,X1)
    | ~ red(X0,n6)
    | ~ red(X0,n5)
    | ~ red(X1,n6) ) ).

cnf(u2720,axiom,
    ~ red(n2,n2) ).

cnf(u2872,axiom,
    ( ~ less_than(X1,n3)
    | red(n3,X0)
    | red(X1,n3)
    | red(X1,n4)
    | red(n1,X0)
    | red(n4,X0)
    | red(n1,X1)
    | ~ less_than(n1,X1)
    | ~ less_than(n4,X0)
    | red(X1,X0)
    | ~ less_than(X1,X0) ) ).

cnf(u2886,axiom,
    ~ red(n6,n4) ).

cnf(u2941,axiom,
    ( ~ red(X0,n6)
    | ~ red(X0,n9)
    | ~ red(n5,X0)
    | ~ red(X0,n8) ) ).

cnf(u2945,axiom,
    ( ~ red(X1,n5)
    | ~ red(X1,n8)
    | ~ red(X0,n8)
    | ~ red(X0,X1)
    | ~ red(X0,n6)
    | ~ red(X0,n5)
    | ~ red(X1,n6) ) ).

cnf(u2955,axiom,
    ( ~ less_than(X1,n4)
    | red(n4,X0)
    | red(X1,n4)
    | red(X1,n5)
    | red(n2,X0)
    | red(n5,X0)
    | red(n2,X1)
    | ~ less_than(n2,X1)
    | ~ less_than(n5,X0)
    | red(X1,X0)
    | ~ less_than(X1,X0) ) ).

cnf(u2960,axiom,
    ( ~ less_than(X1,n4)
    | red(n4,X0)
    | red(X1,n4)
    | 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(u3017,axiom,
    ( ~ less_than(X1,n3)
    | red(n3,X0)
    | red(X1,n3)
    | red(X1,n5)
    | red(n4,X0)
    | red(n5,X0)
    | red(n4,X1)
    | ~ less_than(n4,X1)
    | ~ less_than(n5,X0)
    | red(X1,X0)
    | ~ less_than(X1,X0) ) ).

cnf(u3055,axiom,
    ( ~ red(X1,n6)
    | ~ red(X1,n9)
    | ~ red(X0,n9)
    | ~ red(X0,X1)
    | ~ red(X0,n8)
    | ~ red(X0,n6)
    | ~ red(X1,n8) ) ).

cnf(u3059,axiom,
    ( ~ red(X1,n6)
    | ~ red(X1,n9)
    | ~ red(X0,n9)
    | ~ red(X0,X1)
    | ~ red(X0,n7)
    | ~ red(X0,n6)
    | ~ red(X1,n7) ) ).

cnf(u3263,axiom,
    ~ less_than(n1,n1) ).

cnf(u3279,axiom,
    ~ less_than(n2,n2) ).

cnf(u3311,axiom,
    ~ less_than(n11,n11) ).

cnf(u815,axiom,
    ( ~ red(X2,n4)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n4)
    | ~ red(X1,n4)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11)
    | ~ red(X2,n11) ) ).

cnf(u95,axiom,
    ( ~ less_than(n6,X0)
    | less_than(n3,X0) ) ).

cnf(u128,axiom,
    ( ~ less_than(n8,X0)
    | less_than(n4,X0) ) ).

cnf(u1296,axiom,
    ( ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X0,n9)
    | ~ red(X1,n9)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10) ) ).

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

cnf(u3221,axiom,
    ( ~ red(X0,n2)
    | ~ red(X0,n9)
    | ~ red(X0,n7)
    | ~ red(X0,n6) ) ).

cnf(u55,axiom,
    ( ~ less_than(n3,X0)
    | less_than(n2,X0) ) ).

cnf(u3325,axiom,
    ( ~ red(X0,n2)
    | ~ red(X0,n8)
    | ~ red(n3,X0)
    | ~ red(X0,n11) ) ).

cnf(u197,axiom,
    ( ~ less_than(n10,X0)
    | less_than(n4,X0) ) ).

cnf(u74,axiom,
    less_than(n3,n6) ).

cnf(u63,axiom,
    ( ~ less_than(n11,X0)
    | less_than(n10,X0) ) ).

cnf(u96,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(u1723,axiom,
    ( ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10) ) ).

cnf(u68,axiom,
    less_than(n1,n4) ).

cnf(u126,axiom,
    less_than(n2,n8) ).

cnf(u82,axiom,
    ( ~ less_than(n8,X0)
    | less_than(n6,X0) ) ).

cnf(u135,axiom,
    less_than(n4,n10) ).

cnf(u104,axiom,
    less_than(n6,n10) ).

cnf(u157,axiom,
    less_than(n3,n10) ).

cnf(u241,axiom,
    ( ~ less_than(n11,X0)
    | less_than(n2,X0) ) ).

cnf(u3230,axiom,
    ( ~ red(X0,n4)
    | ~ red(X1,n4)
    | ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,X1)
    | ~ red(X0,n7)
    | ~ red(X1,n7) ) ).

cnf(u143,axiom,
    ( ~ less_than(n11,X0)
    | less_than(n7,X0) ) ).

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

cnf(u3179,axiom,
    ( ~ less_than(n6,X0)
    | red(X0,n11)
    | ~ less_than(X1,n9)
    | red(X1,n9)
    | red(n6,X1)
    | ~ less_than(X0,n11)
    | red(n6,X0)
    | ~ less_than(X0,X1)
    | red(X0,n9)
    | red(X0,X1)
    | red(X1,n11) ) ).

cnf(u808,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(u2313,axiom,
    ( ~ red(X0,n3)
    | ~ red(X0,n8)
    | ~ red(n2,X0)
    | ~ red(X0,n9) ) ).

cnf(u1331,axiom,
    ( ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,n10)
    | ~ red(X1,n10)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

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

cnf(u1610,axiom,
    ( ~ less_than(X1,n1)
    | ~ less_than(X1,X0)
    | red(X1,X0)
    | ~ less_than(n4,X0)
    | ~ less_than(n1,X1)
    | red(n1,X1)
    | red(n4,X0)
    | red(n1,X0)
    | red(X1,n4)
    | red(X1,n1) ) ).

cnf(u823,axiom,
    ( ~ red(X2,n6)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n6)
    | ~ red(X1,n6)
    | ~ red(X0,X1)
    | ~ red(X0,n8)
    | ~ red(X1,n8)
    | ~ red(X2,n8) ) ).

cnf(u816,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(u103,axiom,
    ( ~ less_than(n9,X0)
    | less_than(n6,X0) ) ).

cnf(u125,axiom,
    less_than(n4,n9) ).

cnf(u81,axiom,
    less_than(n5,n8) ).

cnf(u3333,axiom,
    ( ~ red(X0,n4)
    | ~ red(X0,n8)
    | ~ red(n3,X0)
    | ~ red(X0,n11) ) ).

cnf(u3244,axiom,
    ( ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,n8)
    | ~ red(X1,n8)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u831,axiom,
    ( ~ red(X2,n8)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n8)
    | ~ red(X1,n8)
    | ~ red(X0,X1)
    | ~ red(X0,n9)
    | ~ red(X1,n9)
    | ~ red(X2,n9) ) ).

cnf(u790,axiom,
    ( ~ red(X2,n1)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10)
    | ~ red(X2,n10) ) ).

cnf(u111,axiom,
    ( ~ less_than(n5,X0)
    | less_than(n1,X0) ) ).

cnf(u33,axiom,
    ( ~ less_than(X0,X1)
    | ~ less_than(X1,X2)
    | less_than(X0,X2) ) ).

cnf(u797,axiom,
    ( ~ red(X2,n2)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,X1)
    | ~ red(X0,n8)
    | ~ red(X1,n8)
    | ~ red(X2,n8) ) ).

cnf(u1327,axiom,
    ( ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,n10)
    | ~ red(X1,n10)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u205,axiom,
    ( ~ less_than(n9,X0)
    | less_than(n2,X0) ) ).

cnf(u3237,axiom,
    ( ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,n6)
    | ~ red(X1,n6)
    | ~ red(X0,X1)
    | ~ red(X0,n9)
    | ~ red(X1,n9) ) ).

cnf(u3213,axiom,
    ( ~ red(X0,n2)
    | ~ red(X0,n9)
    | ~ red(X0,n8)
    | ~ red(X0,n6) ) ).

cnf(u904,axiom,
    ( ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

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

cnf(u1588,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(u213,axiom,
    ( ~ less_than(n9,X0)
    | less_than(n1,X0) ) ).

cnf(u90,axiom,
    less_than(n8,n11) ).

cnf(u98,axiom,
    ( ~ less_than(n7,X0)
    | less_than(n4,X0) ) ).

cnf(u3199,axiom,
    ( ~ red(X0,n4)
    | ~ red(X0,n8)
    | ~ red(X0,n6)
    | ~ red(X0,n5) ) ).

cnf(u151,axiom,
    less_than(n1,n8) ).

cnf(u120,axiom,
    less_than(n1,n7) ).

cnf(u173,axiom,
    ( ~ less_than(n7,X0)
    | less_than(n1,X0) ) ).

cnf(u129,axiom,
    less_than(n3,n9) ).

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

cnf(u3246,axiom,
    ( ~ red(X0,n4)
    | ~ red(X1,n4)
    | ~ red(X0,n8)
    | ~ red(X1,n8)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u159,axiom,
    ( ~ less_than(n10,X0)
    | less_than(n5,X0) ) ).

cnf(u58,axiom,
    ( ~ less_than(n6,X0)
    | less_than(n5,X0) ) ).

cnf(u787,axiom,
    ( ~ red(X2,n1)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,X1)
    | ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X2,n7) ) ).

cnf(u2307,axiom,
    ( ~ red(X0,n2)
    | ~ red(X0,n8)
    | ~ red(n3,X0)
    | ~ red(X0,n9) ) ).

cnf(u796,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(u67,axiom,
    less_than(n2,n4) ).

cnf(u89,axiom,
    less_than(n9,n11) ).

cnf(u2981,axiom,
    ( ~ red(X1,n4)
    | ~ red(X1,n3)
    | ~ red(X0,n4)
    | ~ red(X0,n3)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u798,axiom,
    ( ~ red(X2,n2)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,X1)
    | ~ red(X0,n9)
    | ~ red(X1,n9)
    | ~ red(X2,n9) ) ).

cnf(u230,axiom,
    ( ~ less_than(n10,X0)
    | less_than(n1,X0) ) ).

cnf(u119,axiom,
    less_than(n3,n8) ).

cnf(u1160,axiom,
    ( ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10) ) ).

cnf(u252,axiom,
    ( ~ less_than(n11,X0)
    | less_than(n1,X0) ) ).

cnf(u97,axiom,
    less_than(n3,n7) ).

cnf(u805,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(u806,axiom,
    ( ~ red(X2,n3)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,X1)
    | ~ red(X0,n9)
    | ~ red(X1,n9)
    | ~ red(X2,n9) ) ).

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

cnf(u160,axiom,
    less_than(n4,n11) ).

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

cnf(u190,axiom,
    ( ~ less_than(n9,X0)
    | less_than(n3,X0) ) ).

cnf(u2734,axiom,
    ( ~ less_than(X1,n2)
    | ~ less_than(X1,X0)
    | red(X1,X0)
    | ~ less_than(n5,X0)
    | ~ less_than(n2,X1)
    | red(n2,X1)
    | red(n5,X0)
    | red(n2,X0)
    | red(X1,n5)
    | red(X1,n2) ) ).

cnf(u3002,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(u84,axiom,
    less_than(n6,n9) ).

cnf(u3169,axiom,
    ~ red(n5,n2) ).

cnf(u57,axiom,
    ( ~ less_than(n5,X0)
    | less_than(n4,X0) ) ).

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

cnf(u836,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(u3229,axiom,
    ( ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,X1)
    | ~ red(X0,n7)
    | ~ red(X1,n7) ) ).

cnf(u92,axiom,
    less_than(n1,n5) ).

cnf(u285,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(u286,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(u106,axiom,
    less_than(n7,n11) ).

cnf(u844,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(u137,axiom,
    ( ~ less_than(n10,X0)
    | less_than(n6,X0) ) ).

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

cnf(u3144,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(u114,axiom,
    less_than(n2,n7) ).

cnf(u3328,axiom,
    ( ~ red(X0,n3)
    | ~ red(X0,n8)
    | ~ red(n2,X0)
    | ~ red(X0,n11) ) ).

cnf(u167,axiom,
    less_than(n1,n9) ).

cnf(u3204,axiom,
    ( ~ red(X1,n4)
    | ~ red(X1,n3)
    | ~ red(X0,n4)
    | ~ red(X0,n3)
    | ~ red(X0,X1)
    | ~ red(X0,n8)
    | ~ red(X1,n8) ) ).

cnf(u2979,axiom,
    ( ~ red(X2,n4)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X2,n3)
    | ~ red(X0,n4)
    | ~ red(X1,n4)
    | ~ red(X0,X1) ) ).

cnf(u854,axiom,
    ( ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,X1)
    | ~ red(X0,n7)
    | ~ red(X1,n7) ) ).

cnf(u75,axiom,
    ( ~ less_than(n6,X0)
    | less_than(n4,X0) ) ).

cnf(u60,axiom,
    ( ~ less_than(n8,X0)
    | less_than(n7,X0) ) ).

cnf(u208,axiom,
    ( ~ less_than(n10,X0)
    | less_than(n3,X0) ) ).

cnf(u69,axiom,
    ( ~ less_than(n4,X0)
    | less_than(n2,X0) ) ).

cnf(u194,axiom,
    less_than(n1,n10) ).

cnf(u83,axiom,
    less_than(n7,n9) ).

cnf(u105,axiom,
    ( ~ less_than(n10,X0)
    | less_than(n7,X0) ) ).

cnf(u3194,axiom,
    ( ~ red(X0,n4)
    | ~ red(X0,n7)
    | ~ red(X0,n6)
    | ~ red(X0,n5) ) ).

cnf(u811,axiom,
    ( ~ red(X2,n4)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n4)
    | ~ red(X1,n4)
    | ~ red(X0,X1)
    | ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X2,n7) ) ).

cnf(u140,axiom,
    less_than(n6,n11) ).

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

cnf(u821,axiom,
    ( ~ red(X2,n5)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11)
    | ~ red(X2,n11) ) ).

cnf(u154,axiom,
    less_than(n2,n9) ).

cnf(u822,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(u3148,axiom,
    ( ~ red(n5,X0)
    | ~ red(X0,n9)
    | ~ red(X0,n7)
    | ~ red(X0,n10) ) ).

cnf(u78,axiom,
    ( ~ less_than(n7,X0)
    | less_than(n5,X0) ) ).

cnf(u162,axiom,
    ( ~ less_than(n11,X0)
    | less_than(n6,X0) ) ).

cnf(u1329,axiom,
    ( ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,n10)
    | ~ red(X1,n10)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u215,axiom,
    ( ~ less_than(n10,X0)
    | less_than(n2,X0) ) ).

cnf(u100,axiom,
    less_than(n4,n8) ).

cnf(u184,axiom,
    ( ~ less_than(n8,X0)
    | less_than(n2,X0) ) ).

cnf(u86,axiom,
    less_than(n8,n10) ).

cnf(u3245,axiom,
    ( ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,n8)
    | ~ red(X1,n8)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u3155,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(u122,axiom,
    ( ~ less_than(n7,X0)
    | less_than(n3,X0) ) ).

cnf(u888,axiom,
    ( ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,X1)
    | ~ red(X0,n8)
    | ~ red(X1,n8) ) ).

cnf(u2765,axiom,
    ( ~ red(X0,n5)
    | ~ red(X0,n10)
    | ~ red(n1,X0)
    | ~ red(X0,n11) ) ).

cnf(u131,axiom,
    ( ~ less_than(n9,X0)
    | less_than(n5,X0) ) ).

cnf(u3138,axiom,
    ( ~ red(X0,n4)
    | ~ red(X1,n4)
    | ~ red(X0,n6)
    | ~ red(X1,n6)
    | ~ red(X0,X1)
    | ~ red(X0,n7)
    | ~ red(X1,n7) ) ).

cnf(u153,axiom,
    ( ~ less_than(n8,X0)
    | less_than(n3,X0) ) ).

cnf(u862,axiom,
    ( ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

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

cnf(u77,axiom,
    less_than(n4,n7) ).

cnf(u1143,axiom,
    ( ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X0,X1)
    | ~ red(X0,n9)
    | ~ red(X1,n9) ) ).

cnf(u2995,axiom,
    ( ~ less_than(X1,n1)
    | ~ less_than(X1,X0)
    | red(X1,X0)
    | ~ less_than(n4,X0)
    | ~ less_than(n3,X1)
    | red(n3,X1)
    | red(n4,X0)
    | red(n3,X0)
    | red(X1,n4)
    | red(X1,n1)
    | red(n1,X0) ) ).

cnf(u54,axiom,
    ( ~ less_than(n2,X0)
    | less_than(n1,X0) ) ).

cnf(u3150,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(u820,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(u202,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(u91,axiom,
    ( ~ less_than(n11,X0)
    | less_than(n9,X0) ) ).

cnf(u3085,axiom,
    ~ red(n1,n1) ).

cnf(u85,axiom,
    ( ~ less_than(n9,X0)
    | less_than(n7,X0) ) ).

cnf(u819,axiom,
    ( ~ red(X2,n5)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,X1)
    | ~ red(X0,n9)
    | ~ red(X1,n9)
    | ~ red(X2,n9) ) ).

cnf(u828,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(u99,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(u3128,axiom,
    ( ~ red(X2,n4)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n4)
    | ~ red(X1,n4)
    | ~ red(X0,X1)
    | ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X2,n5) ) ).

cnf(u829,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(u1244,axiom,
    ( ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,n8)
    | ~ red(X1,n8)
    | ~ red(X0,X1)
    | ~ red(X0,n9)
    | ~ red(X1,n9) ) ).

cnf(u134,axiom,
    less_than(n5,n10) ).

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

cnf(u3293,axiom,
    ( ~ red(X0,n5)
    | ~ red(X0,n7)
    | ~ red(n1,X0)
    | ~ red(X0,n10) ) ).

cnf(u156,axiom,
    ( ~ less_than(n9,X0)
    | less_than(n4,X0) ) ).

cnf(u3118,axiom,
    ( ~ red(X2,n2)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,X1)
    | ~ red(X0,n6)
    | ~ red(X1,n6)
    | ~ red(X2,n6) ) ).

cnf(u59,axiom,
    ( ~ less_than(n7,X0)
    | less_than(n6,X0) ) ).

cnf(u31,axiom,
    ( green(X0,X1)
    | red(X0,X1)
    | ~ less_than(X0,X1) ) ).

cnf(u64,axiom,
    less_than(n1,n3) ).

cnf(u201,axiom,
    ( ~ less_than(n11,X0)
    | less_than(n5,X0) ) ).

cnf(u94,axiom,
    less_than(n2,n6) ).

cnf(u178,axiom,
    less_than(n3,n11) ).

cnf(u287,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(u116,axiom,
    ( ~ less_than(n6,X0)
    | less_than(n2,X0) ) ).

cnf(u72,axiom,
    ( ~ less_than(n5,X0)
    | less_than(n3,X0) ) ).

cnf(u1292,axiom,
    ( ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,n9)
    | ~ red(X1,n9)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10) ) ).

cnf(u209,axiom,
    less_than(n1,n11) ).

cnf(u102,axiom,
    less_than(n5,n9) ).

cnf(u3171,axiom,
    ~ red(n5,n5) ).

cnf(u147,axiom,
    ( ~ less_than(n6,X0)
    | less_than(n1,X0) ) ).

cnf(u62,axiom,
    ( ~ less_than(n10,X0)
    | less_than(n9,X0) ) ).

cnf(u1243,axiom,
    ( ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,n8)
    | ~ red(X1,n8)
    | ~ red(X0,X1)
    | ~ red(X0,n9)
    | ~ red(X1,n9) ) ).

cnf(u3119,axiom,
    ( ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,n6)
    | ~ red(X1,n6)
    | ~ red(X0,X1)
    | ~ red(X0,n7)
    | ~ red(X1,n7) ) ).

cnf(u791,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(u2754,axiom,
    ( ~ less_than(X1,n2)
    | ~ less_than(X1,X0)
    | red(X1,X0)
    | ~ less_than(n4,X0)
    | ~ less_than(n2,X1)
    | red(n2,X1)
    | red(n4,X0)
    | red(n2,X0)
    | red(X1,n4)
    | red(X1,n2) ) ).

cnf(u71,axiom,
    less_than(n2,n5) ).

cnf(u93,axiom,
    ( ~ less_than(n5,X0)
    | less_than(n2,X0) ) ).

cnf(u3236,axiom,
    ( ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,n6)
    | ~ red(X1,n6)
    | ~ red(X0,X1)
    | ~ red(X0,n9)
    | ~ red(X1,n9) ) ).

cnf(u218,axiom,
    ( ~ less_than(n11,X0)
    | less_than(n3,X0) ) ).

cnf(u107,axiom,
    ( ~ less_than(n11,X0)
    | less_than(n8,X0) ) ).

cnf(u79,axiom,
    ( ~ less_than(n4,X0)
    | less_than(n1,X0) ) ).

cnf(u1718,axiom,
    ( ~ red(X2,n1)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,X1)
    | ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X2,n5) ) ).

cnf(u1724,axiom,
    ( ~ red(X0,n1)
    | ~ red(X1,n1)
    | ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u212,axiom,
    ( ~ less_than(n11,X0)
    | less_than(n4,X0) ) ).

cnf(u101,axiom,
    ( ~ less_than(n8,X0)
    | less_than(n5,X0) ) ).

cnf(u3145,axiom,
    ( ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X0,X1)
    | ~ red(X0,n9)
    | ~ red(X1,n9) ) ).

cnf(u150,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(u3120,axiom,
    ( ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,n6)
    | ~ red(X1,n6)
    | ~ red(X0,X1)
    | ~ red(X0,n8)
    | ~ red(X1,n8) ) ).

cnf(u172,axiom,
    less_than(n2,n10) ).

cnf(u61,axiom,
    ( ~ less_than(n9,X0)
    | less_than(n8,X0) ) ).

cnf(u3134,axiom,
    ( ~ red(X0,n4)
    | ~ red(X1,n4)
    | ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,X1)
    | ~ red(X0,n11)
    | ~ red(X1,n11) ) ).

cnf(u80,axiom,
    less_than(n6,n8) ).

cnf(u3137,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(u110,axiom,
    less_than(n1,n6) ).

cnf(u66,axiom,
    ( ~ less_than(n3,X0)
    | less_than(n1,X0) ) ).

cnf(u259,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(u203,axiom,
    ( ~ less_than(n8,X0)
    | less_than(n1,X0) ) ).

cnf(u88,axiom,
    ( ~ less_than(n10,X0)
    | less_than(n8,X0) ) ).

cnf(u141,axiom,
    less_than(n5,n11) ).

cnf(u281,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(u834,axiom,
    ( ~ red(X2,n9)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n9)
    | ~ red(X1,n9)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10)
    | ~ red(X2,n10) ) ).

cnf(u1294,axiom,
    ( ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,n9)
    | ~ red(X1,n9)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10) ) ).

cnf(u149,axiom,
    ( ~ less_than(n7,X0)
    | less_than(n2,X0) ) ).

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

cnf(u792,axiom,
    ( ~ red(X2,n2)
    | ~ red(X0,X2)
    | ~ red(X1,X2)
    | ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,X1)
    | ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X2,n3) ) ).

cnf(u892,axiom,
    ( ~ red(X0,n2)
    | ~ red(X1,n2)
    | ~ red(X0,n3)
    | ~ red(X1,n3)
    | ~ red(X0,X1)
    | ~ red(X0,n9)
    | ~ red(X1,n9) ) ).

cnf(u3223,axiom,
    ( ~ red(X0,n5)
    | ~ red(X0,n9)
    | ~ red(X0,n7)
    | ~ red(X0,n6) ) ).

cnf(u3146,axiom,
    ( ~ red(X0,n5)
    | ~ red(X1,n5)
    | ~ red(X0,n7)
    | ~ red(X1,n7)
    | ~ red(X0,X1)
    | ~ red(X0,n10)
    | ~ red(X1,n10) ) ).

cnf(u807,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(u800,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(u198,axiom,
    less_than(n2,n11) ).

cnf(u87,axiom,
    less_than(n7,n10) ).

cnf(u56,axiom,
    ( ~ less_than(n4,X0)
    | less_than(n3,X0) ) ).

cnf(u2985,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(u65,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) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.10  % Problem    : GRA020+1 : TPTP v8.1.2. Released v3.2.0.
% 0.05/0.11  % Command    : vampire --mode casc_sat -m 16384 --cores 7 -t %d %s
% 0.10/0.31  % Computer : n013.cluster.edu
% 0.10/0.31  % Model    : x86_64 x86_64
% 0.10/0.31  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.31  % Memory   : 8042.1875MB
% 0.10/0.31  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.10/0.31  % CPULimit   : 300
% 0.10/0.31  % WCLimit    : 300
% 0.10/0.31  % DateTime   : Fri May  3 18:23:53 EDT 2024
% 0.10/0.32  % CPUTime    : 
% 0.10/0.32  % (14946)Running in auto input_syntax mode. Trying TPTP
% 0.10/0.33  % (14952)dis+11_4:5_nm=4_216 on theBenchmark for (216ds/0Mi)
% 0.10/0.33  % (14953)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)
% 0.10/0.33  % (14947)fmb+10_1_fmbas=off:fmbsr=1.3:nm=2_1451 on theBenchmark for (1451ds/0Mi)
% 0.10/0.33  % (14949)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)
% 0.10/0.33  % (14951)dis+1_20_av=off:lcm=predicate:nm=2:nwc=2.0_396 on theBenchmark for (396ds/0Mi)
% 0.10/0.33  % (14948)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3_569 on theBenchmark for (569ds/0Mi)
% 0.10/0.33  % (14950)fmb+10_1_bce=on:fmbas=expand:fmbksg=on:fmbsr=1.3:gsp=on:nm=4_470 on theBenchmark for (470ds/0Mi)
% 0.10/0.33  Detected minimum model sizes of [1]
% 0.10/0.33  Detected minimum model sizes of [1]
% 0.10/0.33  Detected maximum model sizes of [11]
% 0.10/0.33  Detected maximum model sizes of [11]
% 0.10/0.33  TRYING [1]
% 0.10/0.33  TRYING [1]
% 0.10/0.33  TRYING [2]
% 0.10/0.33  TRYING [2]
% 0.10/0.33  Detected minimum model sizes of [1]
% 0.10/0.33  Detected maximum model sizes of [11]
% 0.10/0.33  Detected minimum model sizes of [1]
% 0.10/0.33  Detected maximum model sizes of [11]
% 0.10/0.33  TRYING [1]
% 0.10/0.33  TRYING [2]
% 0.10/0.33  TRYING [3]
% 0.10/0.33  TRYING [3]
% 0.10/0.33  TRYING [1]
% 0.10/0.34  TRYING [3]
% 0.10/0.34  TRYING [2]
% 0.10/0.34  TRYING [3]
% 0.10/0.34  TRYING [4]
% 0.10/0.34  TRYING [4]
% 0.10/0.34  TRYING [4]
% 0.10/0.34  TRYING [4]
% 0.10/0.34  TRYING [5]
% 0.10/0.34  TRYING [5]
% 0.10/0.34  TRYING [5]
% 0.10/0.34  TRYING [5]
% 0.10/0.35  TRYING [6]
% 0.10/0.35  TRYING [6]
% 0.10/0.36  TRYING [6]
% 0.10/0.36  TRYING [6]
% 0.16/0.40  TRYING [7]
% 0.16/0.40  TRYING [7]
% 0.16/0.41  TRYING [7]
% 0.16/0.41  TRYING [7]
% 1.56/0.54  TRYING [8]
% 1.70/0.56  TRYING [8]
% 1.70/0.59  % (14952)First to succeed.
% 1.70/0.60  % (14952)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-14946"
% 1.70/0.60  % SZS status CounterSatisfiable for theBenchmark
% 1.70/0.60  % (14952)# SZS output start Saturation.
% See solution above
% 1.70/0.60  % (14952)------------------------------
% 1.70/0.60  % (14952)Version: Vampire 4.8 (commit 3a798227e on 2024-05-03 07:42:47 +0200)
% 1.70/0.60  % (14952)Termination reason: Satisfiable
% 1.70/0.60  
% 1.70/0.60  % (14952)Memory used [KB]: 2445
% 1.70/0.60  % (14952)Time elapsed: 0.265 s
% 1.70/0.60  % (14952)Instructions burned: 736 (million)
% 1.70/0.60  % (14946)Success in time 0.267 s
%------------------------------------------------------------------------------