%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA021+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 09:55:22 AM UTC 2026
% Result : CounterSatisfiable 4.51s 1.61s
% Output : Saturation 0.17s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u39,axiom,
( ~ red(X3,X4)
| ~ red(X0,X1)
| ~ red(X2,X4)
| ~ red(X1,X4)
| ~ red(X0,X4)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,X3)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u42,axiom,
~ goal ).
cnf(u47,axiom,
( ~ green(X3,X4)
| ~ green(X0,X1)
| ~ green(X2,X4)
| ~ green(X1,X4)
| ~ green(X0,X4)
| ~ green(X2,X3)
| ~ green(X1,X3)
| ~ green(X0,X3)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u51,axiom,
( ~ green(X0,X1)
| ~ red(X0,X1) ) ).
cnf(u67,axiom,
~ red(n11,n12) ).
cnf(u72,axiom,
green(n11,n12) ).
cnf(u76,axiom,
~ red(n10,n11) ).
cnf(u81,axiom,
green(n10,n11) ).
cnf(u86,axiom,
red(n9,n10) ).
cnf(u89,axiom,
~ green(n9,n10) ).
cnf(u94,axiom,
~ red(n8,n9) ).
cnf(u99,axiom,
green(n8,n9) ).
cnf(u104,axiom,
red(n7,n8) ).
cnf(u107,axiom,
~ green(n7,n8) ).
cnf(u113,axiom,
red(n6,n7) ).
cnf(u116,axiom,
~ green(n6,n7) ).
cnf(u122,axiom,
red(n5,n6) ).
cnf(u131,axiom,
red(n4,n5) ).
cnf(u134,axiom,
~ green(n4,n5) ).
cnf(u139,axiom,
~ red(n3,n4) ).
cnf(u144,axiom,
green(n3,n4) ).
cnf(u149,axiom,
red(n2,n3) ).
cnf(u152,axiom,
~ green(n2,n3) ).
cnf(u158,axiom,
red(n1,n2) ).
cnf(u161,axiom,
~ green(n1,n2) ).
cnf(u196,axiom,
red(n1,n3) ).
cnf(u199,axiom,
~ green(n1,n3) ).
cnf(u208,axiom,
~ red(n2,n4) ).
cnf(u213,axiom,
green(n2,n4) ).
cnf(u221,axiom,
~ red(n3,n5) ).
cnf(u226,axiom,
green(n3,n5) ).
cnf(u235,axiom,
red(n4,n6) ).
cnf(u247,axiom,
~ red(n5,n7) ).
cnf(u252,axiom,
green(n5,n7) ).
cnf(u261,axiom,
red(n6,n8) ).
cnf(u264,axiom,
~ green(n6,n8) ).
cnf(u273,axiom,
~ red(n7,n9) ).
cnf(u278,axiom,
green(n7,n9) ).
cnf(u287,axiom,
red(n8,n10) ).
cnf(u290,axiom,
~ green(n8,n10) ).
cnf(u300,axiom,
red(n9,n11) ).
cnf(u303,axiom,
~ green(n9,n11) ).
cnf(u310,axiom,
~ red(n10,n12) ).
cnf(u315,axiom,
green(n10,n12) ).
cnf(u323,axiom,
red(n1,n4) ).
cnf(u334,axiom,
~ red(n10,n10) ).
cnf(u345,axiom,
~ green(n11,n11) ).
cnf(u356,axiom,
red(n2,n5) ).
cnf(u359,axiom,
~ green(n2,n5) ).
cnf(u367,axiom,
~ red(n9,n9) ).
cnf(u378,axiom,
~ red(n8,n8) ).
cnf(u389,axiom,
red(n3,n6) ).
cnf(u392,axiom,
~ green(n3,n6) ).
cnf(u400,axiom,
~ red(n7,n7) ).
cnf(u411,axiom,
~ red(n6,n6) ).
cnf(u421,axiom,
~ red(n4,n7) ).
cnf(u426,axiom,
green(n4,n7) ).
cnf(u433,axiom,
~ red(n5,n5) ).
cnf(u447,axiom,
~ red(n4,n4) ).
cnf(u458,axiom,
~ red(n5,n8) ).
cnf(u463,axiom,
green(n5,n8) ).
cnf(u471,axiom,
~ red(n3,n3) ).
cnf(u486,axiom,
~ red(n2,n2) ).
cnf(u497,axiom,
~ red(n6,n9) ).
cnf(u502,axiom,
green(n6,n9) ).
cnf(u509,axiom,
~ red(n1,n1) ).
cnf(u522,axiom,
~ red(n7,n10) ).
cnf(u527,axiom,
green(n7,n10) ).
cnf(u537,axiom,
~ red(n8,n11) ).
cnf(u542,axiom,
green(n8,n11) ).
cnf(u551,axiom,
~ red(n9,n12) ).
cnf(u556,axiom,
green(n9,n12) ).
cnf(u567,axiom,
~ red(n1,n5) ).
cnf(u572,axiom,
green(n1,n5) ).
cnf(u585,axiom,
~ red(n2,n6) ).
cnf(u590,axiom,
green(n2,n6) ).
cnf(u607,axiom,
~ red(n3,n7) ).
cnf(u612,axiom,
green(n3,n7) ).
cnf(u630,axiom,
~ red(n4,n8) ).
cnf(u635,axiom,
green(n4,n8) ).
cnf(u654,axiom,
red(n5,n9) ).
cnf(u672,axiom,
~ red(n6,n10) ).
cnf(u677,axiom,
green(n6,n10) ).
cnf(u687,axiom,
~ red(n7,n11) ).
cnf(u692,axiom,
green(n7,n11) ).
cnf(u702,axiom,
red(n8,n12) ).
cnf(u705,axiom,
~ green(n8,n12) ).
cnf(u719,axiom,
red(n4,n9) ).
cnf(u732,axiom,
red(n5,n10) ).
cnf(u744,axiom,
red(n6,n11) ).
cnf(u754,axiom,
~ red(n7,n12) ).
cnf(u759,axiom,
green(n7,n12) ).
cnf(u767,axiom,
~ red(n1,n6) ).
cnf(u772,axiom,
green(n1,n6) ).
cnf(u785,axiom,
red(n2,n7) ).
cnf(u788,axiom,
~ green(n2,n7) ).
cnf(u806,axiom,
red(n1,n7) ).
cnf(u823,axiom,
red(n3,n8) ).
cnf(u826,axiom,
~ green(n3,n8) ).
cnf(u849,axiom,
~ red(n2,n8) ).
cnf(u854,axiom,
green(n2,n8) ).
cnf(u868,axiom,
~ red(n3,n9) ).
cnf(u873,axiom,
green(n3,n9) ).
cnf(u901,axiom,
red(n4,n10) ).
cnf(u923,axiom,
red(n5,n11) ).
cnf(u954,axiom,
red(n6,n12) ).
cnf(u1007,axiom,
red(n4,n11) ).
cnf(u1037,axiom,
red(n5,n12) ).
cnf(u1087,axiom,
red(n4,n12) ).
cnf(u1108,axiom,
red(n1,n8) ).
cnf(u1147,axiom,
~ red(n2,n9) ).
cnf(u1152,axiom,
green(n2,n9) ).
cnf(u1187,axiom,
red(n1,n9) ).
cnf(u1209,axiom,
red(n3,n10) ).
cnf(u1235,axiom,
red(n1,n10) ).
cnf(u1252,axiom,
red(n2,n10) ).
cnf(u1255,axiom,
~ green(n2,n10) ).
cnf(u1282,axiom,
~ red(n2,n11) ).
cnf(u1287,axiom,
green(n2,n11) ).
cnf(u1302,axiom,
red(n3,n11) ).
cnf(u1328,axiom,
red(n3,n12) ).
cnf(u1377,axiom,
~ red(n4,n3) ).
cnf(u1389,axiom,
~ green(n3,n3) ).
cnf(u1484,axiom,
red(n1,n11) ).
cnf(u1495,axiom,
~ green(n10,n10) ).
cnf(u1532,axiom,
red(n2,n12) ).
cnf(u1565,axiom,
red(n1,n12) ).
cnf(u1745,axiom,
~ green(n4,n4) ).
cnf(u1755,axiom,
~ green(n5,n5) ).
cnf(u1765,axiom,
~ green(n6,n6) ).
cnf(u1775,axiom,
~ green(n7,n7) ).
cnf(u1828,axiom,
~ red(n4,n2) ).
cnf(u1846,axiom,
~ green(n3,n2) ).
cnf(u1851,axiom,
~ green(n2,n2) ).
cnf(u1872,axiom,
~ red(n5,n3) ).
cnf(u1916,axiom,
~ green(n10,n8) ).
cnf(u1921,axiom,
~ green(n8,n8) ).
cnf(u1965,axiom,
~ green(n11,n9) ).
cnf(u1970,axiom,
~ green(n9,n9) ).
cnf(u2018,axiom,
~ red(n7,n4) ).
cnf(u2041,axiom,
~ red(n8,n5) ).
cnf(u2089,axiom,
~ red(n9,n6) ).
cnf(u2093,axiom,
~ red(n9,n8) ).
cnf(u2279,axiom,
~ red(n7,n5) ).
cnf(u2291,axiom,
~ green(n5,n4) ).
cnf(u2389,axiom,
~ green(n8,n6) ).
cnf(u2496,axiom,
~ red(n5,n1) ).
cnf(u2544,axiom,
~ red(n10,n7) ).
cnf(u2558,axiom,
~ green(n3,n1) ).
cnf(u2563,axiom,
~ green(n1,n1) ).
cnf(u2584,axiom,
~ red(n7,n3) ).
cnf(u2604,axiom,
~ green(n7,n6) ).
cnf(u2613,axiom,
~ green(n8,n7) ).
cnf(u2636,axiom,
~ red(n6,n2) ).
cnf(u2939,axiom,
~ red(n8,n4) ).
cnf(u2990,axiom,
~ red(n10,n6) ).
cnf(u3056,axiom,
~ green(n9,n8) ).
cnf(u3104,axiom,
~ green(n10,n9) ).
cnf(u3118,axiom,
~ red(n8,n6) ).
cnf(u3277,axiom,
~ red(n6,n1) ).
cnf(u3325,axiom,
~ red(n2,n1) ).
cnf(u3347,axiom,
~ green(n8,n3) ).
cnf(u3352,axiom,
~ green(n6,n3) ).
cnf(u3361,axiom,
~ green(n5,n2) ).
cnf(u3369,axiom,
~ green(n2,n1) ).
cnf(u3440,axiom,
~ red(n9,n2) ).
cnf(u3593,axiom,
~ red(n9,n3) ).
cnf(u3628,axiom,
~ red(n8,n2) ).
cnf(u3645,axiom,
~ red(n3,n2) ).
cnf(u3716,axiom,
~ green(n7,n2) ).
cnf(u3726,axiom,
~ green(n10,n2) ).
cnf(u2669,axiom,
( ~ red(X0,n11)
| ~ red(X0,n4)
| ~ red(X0,n9)
| ~ red(X0,n5) ) ).
cnf(u1182,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n9) ) ).
cnf(u1714,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n9)
| ~ red(X0,n9)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u1140,axiom,
less_than(n2,n12) ).
cnf(u1616,axiom,
( ~ green(X2,n10)
| ~ green(X0,X1)
| ~ green(X1,n10)
| ~ green(X0,n10)
| ~ green(X2,n7)
| ~ green(X1,n7)
| ~ green(X0,n7)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u1143,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n9) ) ).
cnf(u1220,axiom,
( ~ red(X2,n8)
| ~ red(X0,X1)
| ~ red(X1,n8)
| ~ red(X0,n8)
| ~ red(X2,n3)
| ~ red(X1,n3)
| ~ red(X0,n3)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u1447,axiom,
( ~ green(X2,n9)
| ~ green(X0,X1)
| ~ green(X1,n9)
| ~ green(X0,n9)
| ~ green(X2,n6)
| ~ green(X1,n6)
| ~ green(X0,n6)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u1356,axiom,
( ~ red(X2,n11)
| ~ red(X0,X1)
| ~ red(X1,n11)
| ~ red(X0,n11)
| ~ red(X2,n5)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u1082,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n12) ) ).
cnf(u2444,axiom,
( ~ green(X1,n11)
| ~ green(X0,X1)
| ~ green(X0,n11)
| ~ green(X1,n10)
| ~ green(X0,n10)
| ~ green(X1,n7)
| ~ green(X0,n7) ) ).
cnf(u2240,axiom,
( ~ green(X2,n8)
| ~ green(X0,X1)
| ~ green(X1,n8)
| ~ green(X0,n8)
| ~ green(X2,n4)
| ~ green(X1,n4)
| ~ green(X0,n4)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u1713,axiom,
( ~ red(X2,n11)
| ~ red(X0,X1)
| ~ red(X1,n11)
| ~ red(X0,n11)
| ~ red(X2,n1)
| ~ red(X1,n1)
| ~ red(X0,n1)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u727,axiom,
( ~ less_than(X0,n5)
| less_than(X0,n10) ) ).
cnf(u683,axiom,
( ~ less_than(X0,n7)
| less_than(X0,n11) ) ).
cnf(u2514,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,n2)
| ~ red(X0,n2) ) ).
cnf(u2262,axiom,
( ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,n9)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,n4)
| ~ red(X0,n4) ) ).
cnf(u876,axiom,
less_than(n4,n12) ).
cnf(u516,axiom,
( ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n7)
| ~ red(X0,n7)
| ~ red(X1,n6)
| ~ red(X0,n6) ) ).
cnf(u3397,axiom,
( ~ green(X2,n9)
| ~ green(X0,X1)
| ~ green(X1,n9)
| ~ green(X0,n9)
| ~ green(X2,n2)
| ~ green(X1,n2)
| ~ green(X0,n2)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u440,axiom,
( ~ red(X1,n6)
| ~ red(X0,X1)
| ~ red(X0,n6)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,n4)
| ~ red(X0,n4) ) ).
cnf(u243,axiom,
( ~ less_than(X0,n5)
| less_than(X0,n7) ) ).
cnf(u668,axiom,
( ~ less_than(X0,n6)
| less_than(X0,n10) ) ).
cnf(u725,axiom,
less_than(n5,n12) ).
cnf(u2345,axiom,
( ~ green(X2,n10)
| ~ green(X0,X1)
| ~ green(X1,n10)
| ~ green(X0,n10)
| ~ green(X2,n6)
| ~ green(X1,n6)
| ~ green(X0,n6)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u26,axiom,
less_than(n11,n12) ).
cnf(u2384,axiom,
( ~ green(X2,n9)
| ~ green(X0,X1)
| ~ green(X1,n9)
| ~ green(X0,n9)
| ~ green(X2,n8)
| ~ green(X1,n8)
| ~ green(X0,n8)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u167,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n3) ) ).
cnf(u32,axiom,
less_than(n5,n6) ).
cnf(u416,axiom,
less_than(n4,n8) ).
cnf(u228,axiom,
less_than(n5,n7) ).
cnf(u857,axiom,
less_than(n3,n11) ).
cnf(u1511,axiom,
( ~ red(X2,n8)
| ~ red(X0,X1)
| ~ red(X1,n8)
| ~ red(X0,n8)
| ~ red(X2,n1)
| ~ red(X1,n1)
| ~ red(X0,n1)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u184,axiom,
( ~ red(X2,n5)
| ~ red(X0,X1)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X2,n4)
| ~ red(X1,n4)
| ~ red(X0,n4)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u2995,axiom,
( ~ red(X1,n12)
| ~ red(X0,X1)
| ~ red(X0,n12)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,n5)
| ~ red(X0,n5) ) ).
cnf(u25,axiom,
( ~ less_than(X1,X2)
| ~ less_than(X0,X1)
| less_than(X0,X2) ) ).
cnf(u191,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n3) ) ).
cnf(u28,axiom,
less_than(n9,n10) ).
cnf(u178,axiom,
( ~ green(X2,n12)
| ~ green(X0,X1)
| ~ green(X1,n12)
| ~ green(X0,n12)
| ~ green(X2,n11)
| ~ green(X1,n11)
| ~ green(X0,n11)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u1735,axiom,
( ~ red(X2,n12)
| ~ red(X0,X1)
| ~ red(X1,n12)
| ~ red(X0,n12)
| ~ red(X2,n2)
| ~ red(X1,n2)
| ~ red(X0,n2)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u937,axiom,
( ~ red(X2,n9)
| ~ red(X0,X1)
| ~ red(X1,n9)
| ~ red(X0,n9)
| ~ red(X2,n5)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u1656,axiom,
( ~ red(X2,n10)
| ~ red(X0,X1)
| ~ red(X1,n10)
| ~ red(X0,n10)
| ~ red(X2,n2)
| ~ red(X1,n2)
| ~ red(X0,n2)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u3599,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n3)
| ~ red(X0,n3)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u1476,axiom,
( ~ green(X2,n11)
| ~ green(X0,X1)
| ~ green(X1,n11)
| ~ green(X0,n11)
| ~ green(X2,n10)
| ~ green(X1,n10)
| ~ green(X0,n10)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u1432,axiom,
( ~ red(X2,n11)
| ~ red(X0,X1)
| ~ red(X1,n11)
| ~ red(X0,n11)
| ~ red(X2,n4)
| ~ red(X1,n4)
| ~ red(X0,n4)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u838,axiom,
less_than(n2,n10) ).
cnf(u295,axiom,
( ~ less_than(X0,n9)
| less_than(X0,n11) ) ).
cnf(u2793,axiom,
( ~ red(X0,n11)
| ~ red(X0,n4)
| ~ red(X0,n6)
| ~ red(X0,n5) ) ).
cnf(u761,axiom,
less_than(n1,n8) ).
cnf(u281,axiom,
less_than(n8,n11) ).
cnf(u562,axiom,
less_than(n1,n6) ).
cnf(u3696,axiom,
( ~ red(X1,n12)
| ~ red(X0,X1)
| ~ red(X0,n12)
| ~ red(X1,n3)
| ~ red(X0,n3)
| ~ red(X1,n2)
| ~ red(X0,n2) ) ).
cnf(u856,axiom,
less_than(n2,n11) ).
cnf(u1435,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n9)
| ~ red(X0,n9)
| ~ red(X1,n4)
| ~ red(X0,n4) ) ).
cnf(u1247,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n10) ) ).
cnf(u2523,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,n5)
| ~ red(X0,n5) ) ).
cnf(u1527,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n12) ) ).
cnf(u3254,axiom,
( ~ red(X0,n12)
| ~ red(X0,n3)
| ~ red(X0,n8)
| ~ red(X0,n6) ) ).
cnf(u1166,axiom,
( ~ red(X2,n7)
| ~ red(X0,X1)
| ~ red(X1,n7)
| ~ red(X0,n7)
| ~ red(X2,n2)
| ~ red(X1,n2)
| ~ red(X0,n2)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u2524,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,n4)
| ~ red(X0,n4) ) ).
cnf(u3098,axiom,
( ~ green(X2,n12)
| ~ green(X0,X1)
| ~ green(X1,n12)
| ~ green(X0,n12)
| ~ green(X2,n10)
| ~ green(X1,n10)
| ~ green(X0,n10)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u3506,axiom,
( ~ red(X0,n12)
| ~ red(X0,n4)
| ~ red(X0,n6)
| ~ red(X0,n5) ) ).
cnf(u454,axiom,
( ~ less_than(X0,n5)
| less_than(X0,n8) ) ).
cnf(u647,axiom,
less_than(n5,n11) ).
cnf(u644,axiom,
less_than(n6,n11) ).
cnf(u3204,axiom,
( ~ green(X1,n12)
| ~ green(X0,X1)
| ~ green(X0,n12)
| ~ green(X1,n11)
| ~ green(X0,n11)
| ~ green(X1,n7)
| ~ green(X0,n7) ) ).
cnf(u763,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n6) ) ).
cnf(u215,axiom,
less_than(n4,n6) ).
cnf(u563,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n5) ) ).
cnf(u202,axiom,
less_than(n3,n5) ).
cnf(u171,axiom,
( ~ less_than(X0,n6)
| less_than(X0,n7) ) ).
cnf(u596,axiom,
( ~ red(X2,n5)
| ~ red(X0,X1)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X2,n2)
| ~ red(X1,n2)
| ~ red(X0,n2)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u1633,axiom,
( ~ red(X2,n10)
| ~ red(X0,X1)
| ~ red(X1,n10)
| ~ red(X0,n10)
| ~ red(X2,n1)
| ~ red(X1,n1)
| ~ red(X0,n1)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u174,axiom,
( ~ less_than(X0,n9)
| less_than(X0,n10) ) ).
cnf(u204,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n4) ) ).
cnf(u173,axiom,
( ~ less_than(X0,n8)
| less_than(X0,n9) ) ).
cnf(u1512,axiom,
( ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n7)
| ~ red(X0,n7)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u559,axiom,
( ~ red(X2,n11)
| ~ red(X0,X1)
| ~ red(X1,n11)
| ~ red(X0,n11)
| ~ red(X2,n9)
| ~ red(X1,n9)
| ~ red(X0,n9)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u780,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n7) ) ).
cnf(u1411,axiom,
( ~ red(X2,n12)
| ~ red(X0,X1)
| ~ red(X1,n12)
| ~ red(X0,n12)
| ~ red(X2,n6)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u576,axiom,
( ~ red(X2,n4)
| ~ red(X0,X1)
| ~ red(X1,n4)
| ~ red(X0,n4)
| ~ red(X2,n1)
| ~ red(X1,n1)
| ~ red(X0,n1)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u1877,axiom,
( ~ green(X2,n5)
| ~ green(X0,X1)
| ~ green(X1,n5)
| ~ green(X0,n5)
| ~ green(X2,n3)
| ~ green(X1,n3)
| ~ green(X0,n3)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u417,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n7) ) ).
cnf(u990,axiom,
( ~ red(X2,n12)
| ~ red(X0,X1)
| ~ red(X1,n12)
| ~ red(X0,n12)
| ~ red(X2,n8)
| ~ red(X1,n8)
| ~ red(X0,n8)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u2179,axiom,
( ~ green(X2,n5)
| ~ green(X0,X1)
| ~ green(X1,n5)
| ~ green(X0,n5)
| ~ green(X2,n1)
| ~ green(X1,n1)
| ~ green(X0,n1)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u1603,axiom,
( ~ red(X2,n10)
| ~ red(X0,X1)
| ~ red(X1,n10)
| ~ red(X0,n10)
| ~ red(X2,n3)
| ~ red(X1,n3)
| ~ red(X0,n3)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u203,axiom,
less_than(n2,n5) ).
cnf(u2944,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n4)
| ~ red(X0,n4)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u2217,axiom,
( ~ green(X2,n6)
| ~ green(X0,X1)
| ~ green(X1,n6)
| ~ green(X0,n6)
| ~ green(X2,n2)
| ~ green(X1,n2)
| ~ green(X0,n2)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u581,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n6) ) ).
cnf(u453,axiom,
less_than(n5,n9) ).
cnf(u818,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n8) ) ).
cnf(u182,axiom,
( ~ red(X2,n7)
| ~ red(X0,X1)
| ~ red(X1,n7)
| ~ red(X0,n7)
| ~ red(X2,n6)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u1223,axiom,
( ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,n3)
| ~ red(X0,n3) ) ).
cnf(u918,axiom,
( ~ less_than(X0,n5)
| less_than(X0,n11) ) ).
cnf(u533,axiom,
( ~ less_than(X0,n8)
| less_than(X0,n11) ) ).
cnf(u714,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n9) ) ).
cnf(u1103,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n8) ) ).
cnf(u3030,axiom,
( ~ red(X1,n12)
| ~ red(X0,X1)
| ~ red(X0,n12)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,n4)
| ~ red(X0,n4) ) ).
cnf(u1560,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n12) ) ).
cnf(u2200,axiom,
( ~ green(X2,n7)
| ~ green(X0,X1)
| ~ green(X1,n7)
| ~ green(X0,n7)
| ~ green(X2,n3)
| ~ green(X1,n3)
| ~ green(X0,n3)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u3207,axiom,
( ~ green(X1,n12)
| ~ green(X0,X1)
| ~ green(X0,n12)
| ~ green(X1,n10)
| ~ green(X0,n10)
| ~ green(X1,n7)
| ~ green(X0,n7) ) ).
cnf(u2997,axiom,
( ~ red(X1,n12)
| ~ red(X0,X1)
| ~ red(X0,n12)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,n3)
| ~ red(X0,n3) ) ).
cnf(u34,axiom,
less_than(n3,n4) ).
cnf(u837,axiom,
less_than(n1,n10) ).
cnf(u666,axiom,
less_than(n6,n12) ).
cnf(u739,axiom,
( ~ less_than(X0,n6)
| less_than(X0,n11) ) ).
cnf(u638,axiom,
less_than(n5,n10) ).
cnf(u637,axiom,
less_than(n4,n10) ).
cnf(u1479,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n11) ) ).
cnf(u1582,axiom,
( ~ red(X2,n9)
| ~ red(X0,X1)
| ~ red(X1,n9)
| ~ red(X0,n9)
| ~ red(X2,n1)
| ~ red(X1,n1)
| ~ red(X0,n1)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u1100,axiom,
less_than(n1,n11) ).
cnf(u2652,axiom,
( ~ red(X0,n10)
| ~ red(X0,n1)
| ~ red(X0,n9)
| ~ red(X0,n4) ) ).
cnf(u1692,axiom,
( ~ red(X2,n12)
| ~ red(X0,X1)
| ~ red(X1,n12)
| ~ red(X0,n12)
| ~ red(X2,n3)
| ~ red(X1,n3)
| ~ red(X0,n3)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u492,axiom,
less_than(n6,n10) ).
cnf(u515,axiom,
( ~ red(X2,n8)
| ~ red(X0,X1)
| ~ red(X1,n8)
| ~ red(X0,n8)
| ~ red(X2,n6)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u864,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n9) ) ).
cnf(u3415,axiom,
( ~ red(X0,n12)
| ~ red(X0,n1)
| ~ red(X0,n8)
| ~ red(X0,n3) ) ).
cnf(u2286,axiom,
( ~ green(X2,n7)
| ~ green(X0,X1)
| ~ green(X1,n7)
| ~ green(X0,n7)
| ~ green(X2,n5)
| ~ green(X1,n5)
| ~ green(X0,n5)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u254,axiom,
less_than(n7,n9) ).
cnf(u1204,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n10) ) ).
cnf(u1323,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n12) ) ).
cnf(u3020,axiom,
( ~ red(X0,n10)
| ~ red(X0,n1)
| ~ red(X0,n8)
| ~ red(X0,n3) ) ).
cnf(u317,axiom,
less_than(n1,n5) ).
cnf(u1783,axiom,
( ~ red(X2,n12)
| ~ red(X0,X1)
| ~ red(X1,n12)
| ~ red(X0,n12)
| ~ red(X2,n1)
| ~ red(X1,n1)
| ~ red(X0,n1)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u816,axiom,
less_than(n3,n10) ).
cnf(u3782,axiom,
( ~ red(X0,n12)
| ~ red(X0,n1)
| ~ red(X0,n3)
| ~ red(X0,n2) ) ).
cnf(u619,axiom,
( ~ red(X2,n6)
| ~ red(X0,X1)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X2,n3)
| ~ red(X1,n3)
| ~ red(X0,n3)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u1834,axiom,
( ~ green(X2,n4)
| ~ green(X0,X1)
| ~ green(X1,n4)
| ~ green(X0,n4)
| ~ green(X2,n2)
| ~ green(X1,n2)
| ~ green(X0,n2)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u242,axiom,
less_than(n5,n8) ).
cnf(u268,axiom,
less_than(n7,n10) ).
cnf(u33,axiom,
less_than(n4,n5) ).
cnf(u230,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n6) ) ).
cnf(u3202,axiom,
( ~ green(X2,n12)
| ~ green(X0,X1)
| ~ green(X1,n12)
| ~ green(X0,n12)
| ~ green(X2,n7)
| ~ green(X1,n7)
| ~ green(X0,n7)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u1953,axiom,
( ~ green(X2,n12)
| ~ green(X0,X1)
| ~ green(X1,n12)
| ~ green(X0,n12)
| ~ green(X2,n9)
| ~ green(X1,n9)
| ~ green(X0,n9)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u36,axiom,
less_than(n1,n2) ).
cnf(u229,axiom,
less_than(n4,n7) ).
cnf(u186,axiom,
( ~ red(X2,n3)
| ~ red(X0,X1)
| ~ red(X1,n3)
| ~ red(X0,n3)
| ~ red(X2,n2)
| ~ red(X1,n2)
| ~ red(X0,n2)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u27,axiom,
less_than(n10,n11) ).
cnf(u216,axiom,
less_than(n3,n6) ).
cnf(u351,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n5) ) ).
cnf(u30,axiom,
less_than(n7,n8) ).
cnf(u188,axiom,
less_than(n1,n3) ).
cnf(u29,axiom,
less_than(n8,n9) ).
cnf(u179,axiom,
( ~ red(X2,n10)
| ~ red(X0,X1)
| ~ red(X1,n10)
| ~ red(X0,n10)
| ~ red(X2,n9)
| ~ red(X1,n9)
| ~ red(X0,n9)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u3399,axiom,
( ~ green(X1,n9)
| ~ green(X0,X1)
| ~ green(X0,n9)
| ~ green(X1,n6)
| ~ green(X0,n6)
| ~ green(X1,n2)
| ~ green(X0,n2) ) ).
cnf(u1002,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n11) ) ).
cnf(u181,axiom,
( ~ red(X2,n8)
| ~ red(X0,X1)
| ~ red(X1,n8)
| ~ red(X0,n8)
| ~ red(X2,n7)
| ~ red(X1,n7)
| ~ red(X0,n7)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u168,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n4) ) ).
cnf(u875,axiom,
less_than(n3,n12) ).
cnf(u175,axiom,
( ~ less_than(X0,n10)
| less_than(X0,n11) ) ).
cnf(u2409,axiom,
( ~ red(X1,n12)
| ~ red(X0,X1)
| ~ red(X0,n12)
| ~ red(X1,n8)
| ~ red(X0,n8)
| ~ red(X1,n6)
| ~ red(X0,n6) ) ).
cnf(u614,axiom,
less_than(n2,n8) ).
cnf(u3007,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n4)
| ~ red(X0,n4)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u1450,axiom,
( ~ red(X2,n12)
| ~ red(X0,X1)
| ~ red(X1,n12)
| ~ red(X0,n12)
| ~ red(X2,n5)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u2953,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,n4)
| ~ red(X0,n4) ) ).
cnf(u3157,axiom,
( ~ green(X2,n8)
| ~ green(X0,X1)
| ~ green(X1,n8)
| ~ green(X0,n8)
| ~ green(X2,n2)
| ~ green(X1,n2)
| ~ green(X0,n2)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u3287,axiom,
( ~ green(X2,n6)
| ~ green(X0,X1)
| ~ green(X1,n6)
| ~ green(X0,n6)
| ~ green(X2,n1)
| ~ green(X1,n1)
| ~ green(X0,n1)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u318,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n4) ) ).
cnf(u2884,axiom,
( ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n3)
| ~ red(X0,n3)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u1636,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n8)
| ~ red(X0,n8)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u3338,axiom,
( ~ red(X1,n12)
| ~ red(X0,X1)
| ~ red(X0,n12)
| ~ red(X1,n4)
| ~ red(X0,n4)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u778,axiom,
less_than(n2,n9) ).
cnf(u3163,axiom,
( ~ green(X1,n8)
| ~ green(X0,X1)
| ~ green(X0,n8)
| ~ green(X1,n4)
| ~ green(X0,n4)
| ~ green(X1,n2)
| ~ green(X0,n2) ) ).
cnf(u1382,axiom,
( ~ green(X2,n4)
| ~ green(X0,X1)
| ~ green(X1,n4)
| ~ green(X0,n4)
| ~ green(X2,n3)
| ~ green(X1,n3)
| ~ green(X0,n3)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u166,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n2) ) ).
cnf(u545,axiom,
( ~ red(X2,n10)
| ~ red(X0,X1)
| ~ red(X1,n10)
| ~ red(X0,n10)
| ~ red(X2,n8)
| ~ red(X1,n8)
| ~ red(X0,n8)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u1359,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n9)
| ~ red(X0,n9)
| ~ red(X1,n5)
| ~ red(X0,n5) ) ).
cnf(u697,axiom,
( ~ less_than(X0,n8)
| less_than(X0,n12) ) ).
cnf(u2427,axiom,
( ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,n9)
| ~ red(X1,n4)
| ~ red(X0,n4)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u2513,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,n4)
| ~ red(X0,n4) ) ).
cnf(u2996,axiom,
( ~ red(X1,n12)
| ~ red(X0,X1)
| ~ red(X0,n12)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,n4)
| ~ red(X0,n4) ) ).
cnf(u1408,axiom,
( ~ green(X2,n7)
| ~ green(X0,X1)
| ~ green(X1,n7)
| ~ green(X0,n7)
| ~ green(X2,n4)
| ~ green(X1,n4)
| ~ green(X0,n4)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u3205,axiom,
( ~ green(X1,n12)
| ~ green(X0,X1)
| ~ green(X0,n12)
| ~ green(X1,n9)
| ~ green(X0,n9)
| ~ green(X1,n7)
| ~ green(X0,n7) ) ).
cnf(u3208,axiom,
( ~ green(X0,n12)
| ~ green(X0,n7)
| ~ green(X0,n11)
| ~ green(X0,n10) ) ).
cnf(u3697,axiom,
( ~ red(X1,n12)
| ~ red(X0,X1)
| ~ red(X0,n12)
| ~ red(X1,n3)
| ~ red(X0,n3)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u2688,axiom,
( ~ red(X0,n11)
| ~ red(X0,n1)
| ~ red(X0,n9)
| ~ red(X0,n4) ) ).
cnf(u1606,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n8)
| ~ red(X0,n8)
| ~ red(X1,n3)
| ~ red(X0,n3) ) ).
cnf(u845,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n8) ) ).
cnf(u1297,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n11) ) ).
cnf(u801,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n7) ) ).
cnf(u2442,axiom,
( ~ green(X2,n11)
| ~ green(X0,X1)
| ~ green(X1,n11)
| ~ green(X0,n11)
| ~ green(X2,n7)
| ~ green(X1,n7)
| ~ green(X0,n7)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u2968,axiom,
( ~ green(X2,n9)
| ~ green(X0,X1)
| ~ green(X1,n9)
| ~ green(X0,n9)
| ~ green(X2,n3)
| ~ green(X1,n3)
| ~ green(X0,n3)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u1179,axiom,
less_than(n1,n12) ).
cnf(u547,axiom,
( ~ less_than(X0,n9)
| less_than(X0,n12) ) ).
cnf(u1427,axiom,
( ~ green(X2,n8)
| ~ green(X0,X1)
| ~ green(X1,n8)
| ~ green(X0,n8)
| ~ green(X2,n5)
| ~ green(X1,n5)
| ~ green(X0,n5)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u3814,axiom,
( ~ red(X1,n12)
| ~ red(X0,X1)
| ~ red(X0,n12)
| ~ red(X1,n2)
| ~ red(X0,n2)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u580,axiom,
less_than(n2,n7) ).
cnf(u3400,axiom,
( ~ green(X1,n9)
| ~ green(X0,X1)
| ~ green(X0,n9)
| ~ green(X1,n8)
| ~ green(X0,n8)
| ~ green(X1,n2)
| ~ green(X0,n2) ) ).
cnf(u2410,axiom,
( ~ red(X1,n12)
| ~ red(X0,X1)
| ~ red(X0,n12)
| ~ red(X1,n8)
| ~ red(X0,n8)
| ~ red(X1,n3)
| ~ red(X0,n3) ) ).
cnf(u2412,axiom,
( ~ red(X1,n12)
| ~ red(X0,X1)
| ~ red(X0,n12)
| ~ red(X1,n8)
| ~ red(X0,n8)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u3666,axiom,
( ~ green(X2,n11)
| ~ green(X0,X1)
| ~ green(X1,n11)
| ~ green(X0,n11)
| ~ green(X2,n2)
| ~ green(X1,n2)
| ~ green(X0,n2)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u2202,axiom,
( ~ green(X1,n7)
| ~ green(X0,X1)
| ~ green(X0,n7)
| ~ green(X1,n4)
| ~ green(X0,n4)
| ~ green(X1,n3)
| ~ green(X0,n3) ) ).
cnf(u532,axiom,
less_than(n8,n12) ).
cnf(u2525,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,n3)
| ~ red(X0,n3) ) ).
cnf(u2855,axiom,
( ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n7)
| ~ red(X1,n2)
| ~ red(X0,n2)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u3031,axiom,
( ~ red(X1,n12)
| ~ red(X0,X1)
| ~ red(X0,n12)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,n2)
| ~ red(X0,n2) ) ).
cnf(u294,axiom,
less_than(n9,n12) ).
cnf(u383,axiom,
less_than(n3,n7) ).
cnf(u280,axiom,
less_than(n9,n11) ).
cnf(u255,axiom,
less_than(n6,n9) ).
cnf(u799,axiom,
less_than(n1,n9) ).
cnf(u241,axiom,
less_than(n6,n8) ).
cnf(u3633,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n2)
| ~ red(X0,n2)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u2308,axiom,
( ~ green(X1,n7)
| ~ green(X0,X1)
| ~ green(X0,n7)
| ~ green(X1,n5)
| ~ green(X0,n5)
| ~ green(X1,n3)
| ~ green(X0,n3) ) ).
cnf(u3142,axiom,
( ~ green(X1,n9)
| ~ green(X0,X1)
| ~ green(X0,n9)
| ~ green(X1,n7)
| ~ green(X0,n7)
| ~ green(X1,n3)
| ~ green(X0,n3) ) ).
cnf(u518,axiom,
( ~ less_than(X0,n7)
| less_than(X0,n10) ) ).
cnf(u35,axiom,
less_than(n2,n3) ).
cnf(u517,axiom,
less_than(n7,n11) ).
cnf(u1278,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n11) ) ).
cnf(u24,axiom,
( ~ less_than(X0,X1)
| green(X0,X1)
| red(X0,X1) ) ).
cnf(u626,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n8) ) ).
cnf(u31,axiom,
less_than(n6,n7) ).
cnf(u339,axiom,
( ~ red(X2,n3)
| ~ red(X0,X1)
| ~ red(X1,n3)
| ~ red(X0,n3)
| ~ red(X2,n1)
| ~ red(X1,n1)
| ~ red(X0,n1)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u949,axiom,
( ~ less_than(X0,n6)
| less_than(X0,n12) ) ).
cnf(u649,axiom,
( ~ less_than(X0,n5)
| less_than(X0,n9) ) ).
cnf(u622,axiom,
less_than(n4,n9) ).
cnf(u3660,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n3)
| ~ red(X0,n3)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u621,axiom,
less_than(n3,n9) ).
cnf(u712,axiom,
less_than(n4,n11) ).
cnf(u1051,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n9)
| ~ red(X0,n9)
| ~ red(X1,n5)
| ~ red(X0,n5) ) ).
cnf(u2046,axiom,
( ~ red(X0,n10)
| ~ red(X0,n4)
| ~ red(X0,n9)
| ~ red(X0,n5) ) ).
cnf(u282,axiom,
( ~ less_than(X0,n8)
| less_than(X0,n10) ) ).
cnf(u602,axiom,
less_than(n3,n8) ).
cnf(u293,axiom,
less_than(n10,n12) ).
cnf(u1678,axiom,
( ~ red(X2,n11)
| ~ red(X0,X1)
| ~ red(X1,n11)
| ~ red(X0,n11)
| ~ red(X2,n3)
| ~ red(X1,n3)
| ~ red(X0,n3)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u896,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n10) ) ).
cnf(u3738,axiom,
( ~ red(X0,n10)
| ~ red(X0,n1)
| ~ red(X0,n3)
| ~ red(X0,n2) ) ).
cnf(u1063,axiom,
( ~ red(X2,n11)
| ~ red(X0,X1)
| ~ red(X1,n11)
| ~ red(X0,n11)
| ~ red(X2,n6)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u1050,axiom,
( ~ red(X2,n10)
| ~ red(X0,X1)
| ~ red(X1,n10)
| ~ red(X0,n10)
| ~ red(X2,n5)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u1343,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n9)
| ~ red(X0,n9)
| ~ red(X1,n4)
| ~ red(X0,n4) ) ).
cnf(u3100,axiom,
( ~ green(X1,n12)
| ~ green(X0,X1)
| ~ green(X0,n12)
| ~ green(X1,n11)
| ~ green(X0,n11)
| ~ green(X1,n10)
| ~ green(X0,n10) ) ).
cnf(u660,axiom,
less_than(n7,n12) ).
cnf(u3094,axiom,
( ~ green(X2,n9)
| ~ green(X0,X1)
| ~ green(X1,n9)
| ~ green(X0,n9)
| ~ green(X2,n7)
| ~ green(X1,n7)
| ~ green(X0,n7)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u3598,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n3)
| ~ red(X0,n3)
| ~ red(X1,n2)
| ~ red(X0,n2) ) ).
cnf(u1032,axiom,
( ~ less_than(X0,n5)
| less_than(X0,n12) ) ).
cnf(u1634,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n9)
| ~ red(X0,n9)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u256,axiom,
( ~ less_than(X0,n6)
| less_than(X0,n8) ) ).
cnf(u1196,axiom,
( ~ red(X2,n7)
| ~ red(X0,X1)
| ~ red(X1,n7)
| ~ red(X0,n7)
| ~ red(X2,n1)
| ~ red(X1,n1)
| ~ red(X0,n1)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u1342,axiom,
( ~ red(X2,n10)
| ~ red(X0,X1)
| ~ red(X1,n10)
| ~ red(X0,n10)
| ~ red(X2,n4)
| ~ red(X1,n4)
| ~ red(X0,n4)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u1459,axiom,
( ~ red(X2,n12)
| ~ red(X0,X1)
| ~ red(X1,n12)
| ~ red(X0,n12)
| ~ red(X2,n4)
| ~ red(X1,n4)
| ~ red(X0,n4)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u187,axiom,
( ~ red(X2,n2)
| ~ red(X0,X1)
| ~ red(X1,n2)
| ~ red(X0,n2)
| ~ red(X2,n1)
| ~ red(X1,n1)
| ~ red(X0,n1)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u217,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n5) ) ).
cnf(u1025,axiom,
( ~ red(X2,n9)
| ~ red(X0,X1)
| ~ red(X1,n9)
| ~ red(X0,n9)
| ~ red(X2,n4)
| ~ red(X1,n4)
| ~ red(X0,n4)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u190,axiom,
less_than(n1,n4) ).
cnf(u603,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n7) ) ).
cnf(u189,axiom,
less_than(n2,n4) ).
cnf(u176,axiom,
( ~ less_than(X0,n11)
| less_than(X0,n12) ) ).
cnf(u1904,axiom,
( ~ green(X2,n11)
| ~ green(X0,X1)
| ~ green(X1,n11)
| ~ green(X0,n11)
| ~ green(X2,n8)
| ~ green(X1,n8)
| ~ green(X0,n8)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u183,axiom,
( ~ red(X2,n6)
| ~ red(X0,X1)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X2,n5)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u491,axiom,
( ~ red(X1,n3)
| ~ red(X0,X1)
| ~ red(X0,n3)
| ~ red(X1,n2)
| ~ red(X0,n2)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u170,axiom,
( ~ less_than(X0,n5)
| less_than(X0,n6) ) ).
cnf(u169,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n5) ) ).
cnf(u493,axiom,
( ~ less_than(X0,n6)
| less_than(X0,n9) ) ).
cnf(u172,axiom,
( ~ less_than(X0,n7)
| less_than(X0,n8) ) ).
cnf(u384,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n6) ) ).
cnf(u350,axiom,
less_than(n2,n6) ).
cnf(u598,axiom,
less_than(n1,n7) ).
cnf(u306,axiom,
( ~ less_than(X0,n10)
| less_than(X0,n12) ) ).
cnf(u439,axiom,
( ~ red(X2,n6)
| ~ red(X0,X1)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X2,n4)
| ~ red(X1,n4)
| ~ red(X0,n4)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u1230,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n10) ) ).
cnf(u267,axiom,
less_than(n8,n10) ).
cnf(u750,axiom,
( ~ less_than(X0,n7)
| less_than(X0,n12) ) ).
cnf(u3672,axiom,
( ~ green(X1,n11)
| ~ green(X0,X1)
| ~ green(X0,n11)
| ~ green(X1,n8)
| ~ green(X0,n8)
| ~ green(X1,n2)
| ~ green(X0,n2) ) ).
cnf(u269,axiom,
( ~ less_than(X0,n7)
| less_than(X0,n9) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRA021+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n009.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 08:49:15 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 4.51/1.61 % (1727928)Detected formulas, will run a generic FOF schedule.
% 4.51/1.61 % (1727937)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=1392561019:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 4.51/1.61 % (1727937)Refutation not found, incomplete strategy
% 4.51/1.61 % (1727937)------------------------------
% 4.51/1.61 % (1727937)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.61 % (1727937)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.61 % (1727937)CaDiCaL version: 2.1.3
% 4.51/1.61 % (1727937)Termination reason: Refutation not found, incomplete strategy
% 4.51/1.61 % (1727937)Time elapsed: 0.0000 s
% 4.51/1.61 % (1727937)Peak memory usage: 86 MB
% 4.51/1.61 % (1727938)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1338807449:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 4.51/1.61 % (1727935)lrs+1010_1_anc=all:sfv=off:to=kbo:ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:prc=on:sos=all:bsr=unit_only:sac=on:random_seed=3431705493:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 4.51/1.61 % (1727933)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=168641658:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 4.51/1.61 % (1727936)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1606464770:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 4.51/1.61 % (1727939)dis-21_1_sil=8000:lcm=predicate:random_seed=625103359:st=5:avsq=on:i=129:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/129Mi)
% 4.51/1.61 % (1727934)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:lma=off:spb=units:urr=ec_only:bce=on:s2agt=64:updr=off:random_seed=910644592:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 4.51/1.61 % (1727936)Refutation not found, incomplete strategy
% 4.51/1.61 % (1727936)------------------------------
% 4.51/1.61 % (1727936)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.61 % (1727936)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.61 % (1727936)CaDiCaL version: 2.1.3
% 4.51/1.61 % (1727936)Termination reason: Refutation not found, incomplete strategy
% 4.51/1.61 % (1727936)Time elapsed: 0.001 s
% 4.51/1.61 % (1727936)Peak memory usage: 86 MB
% 4.51/1.61 % (1727939)Instruction limit reached!
% 4.51/1.61 % (1727939)------------------------------
% 4.51/1.61 % (1727939)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.61 % (1727939)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.61 % (1727939)CaDiCaL version: 2.1.3
% 4.51/1.61 % (1727939)Termination reason: Instruction limit
% 4.51/1.61 % (1727939)Termination phase: Saturation
% 4.51/1.61 % (1727939)Time elapsed: 0.054 s
% 4.51/1.61 % (1727939)Peak memory usage: 88 MB
% 4.51/1.61 % (1727939)Instructions burned: 131 (million)
% 4.51/1.61 % (1727938)Instruction limit reached!
% 4.51/1.61 % (1727938)------------------------------
% 4.51/1.61 % (1727938)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.61 % (1727938)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.61 % (1727938)CaDiCaL version: 2.1.3
% 4.51/1.61 % (1727938)Termination reason: Instruction limit
% 4.51/1.61 % (1727938)Termination phase: Saturation
% 4.51/1.61 % (1727938)Time elapsed: 0.069 s
% 4.51/1.61 % (1727938)Peak memory usage: 88 MB
% 4.51/1.61 % (1727938)Instructions burned: 141 (million)
% 4.51/1.61 % (1727937)------------------------------
% 4.51/1.61 % (1727937)------------------------------
% 4.51/1.61 % (1727947)lrs+10_1_sil=8000:sp=occurrence:random_seed=2847869311:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 4.51/1.61 % (1727948)lrs+10_1_sil=32000:urr=on:br=off:random_seed=1505589228:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 4.51/1.61 % (1727948)Refutation not found, incomplete strategy
% 4.51/1.61 % (1727948)------------------------------
% 4.51/1.61 % (1727948)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.61 % (1727948)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.61 % (1727948)CaDiCaL version: 2.1.3
% 4.51/1.61 % (1727948)Termination reason: Refutation not found, incomplete strategy
% 4.51/1.61 % (1727948)Time elapsed: 0.001 s
% 4.51/1.61 % (1727948)Peak memory usage: 87 MB
% 4.51/1.61 % (1727936)------------------------------
% 4.51/1.61 % (1727936)------------------------------
% 4.51/1.61 % (1727949)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1587989048:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 4.51/1.61 % (1727949)Refutation not found, incomplete strategy
% 4.51/1.61 % (1727949)------------------------------
% 4.51/1.61 % (1727949)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.61 % (1727949)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.61 % (1727949)CaDiCaL version: 2.1.3
% 4.51/1.61 % (1727949)Termination reason: Refutation not found, incomplete strategy
% 4.51/1.61 % (1727949)Time elapsed: 0.0000 s
% 4.51/1.61 % (1727949)Peak memory usage: 87 MB
% 4.51/1.61 % (1727947)First to succeed.
% 4.51/1.61 % (1727947)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1727928"
% 4.51/1.61 % (1727949)------------------------------
% 4.51/1.61 % (1727949)------------------------------
% 4.51/1.61 % (1727953)dis+10_5:1_slsqr=1,4:sil=8000:fde=unused:erd=off:urr=full:fd=off:s2agt=8:br=off:slsq=on:random_seed=81364307:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 4.51/1.61 % (1727953)Refutation not found, incomplete strategy
% 4.51/1.61 % (1727953)------------------------------
% 4.51/1.61 % (1727953)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.61 % (1727953)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.61 % (1727953)CaDiCaL version: 2.1.3
% 4.51/1.61 % (1727953)Termination reason: Refutation not found, incomplete strategy
% 4.51/1.61 % (1727953)Time elapsed: 0.005 s
% 4.51/1.61 % (1727953)Peak memory usage: 88 MB
% 4.51/1.61 % (1727953)Instructions burned: 7 (million)
% 4.51/1.61 % (1727948)------------------------------
% 4.51/1.61 % (1727948)------------------------------
% 4.51/1.61 % (1727954)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=2447763908:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 4.51/1.61 % (1727954)Refutation not found, incomplete strategy
% 4.51/1.61 % (1727954)------------------------------
% 4.51/1.61 % (1727954)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.51/1.61 % (1727954)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.51/1.61 % (1727954)CaDiCaL version: 2.1.3
% 4.51/1.61 % (1727954)Termination reason: Refutation not found, incomplete strategy
% 4.51/1.61 % (1727954)Time elapsed: 0.0000 s
% 4.51/1.61 % (1727954)Peak memory usage: 86 MB
% 4.51/1.61 % SZS status CounterSatisfiable for theBenchmark
% 4.51/1.61 % SZS output start Saturation.
% See solution above
% 0.17/1.81 % SZS output start Definitions and Model Updates.
% 0.17/1.81 % SZS output end Definitions and Model Updates.
% 0.17/1.81 % (1727947)------------------------------
% 0.17/1.81 % (1727947)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 0.17/1.81 % (1727947)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.17/1.81 % (1727947)CaDiCaL version: 2.1.3
% 0.17/1.81 % (1727947)Termination reason: Satisfiable
% 0.17/1.81 % (1727947)Time elapsed: 0.100 s
% 0.17/1.81 % (1727947)Peak memory usage: 90 MB
% 0.17/1.81 % (1727947)Instructions burned: 201 (million)
% 0.17/1.81 % (1727947)------------------------------
% 0.17/1.81 % (1727947)------------------------------
% 0.17/1.81 % (1727928)Success in time 0.744 s
% 0.17/1.81 % Vampire exiting
%------------------------------------------------------------------------------