%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA020+1 : TPTP v9.3.1. Released v3.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n017.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 3.88s 1.57s
% Output : Saturation 5.63s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u38,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(u41,axiom,
~ goal ).
cnf(u46,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(u50,axiom,
( ~ green(X0,X1)
| ~ red(X0,X1) ) ).
cnf(u65,axiom,
~ red(n10,n11) ).
cnf(u70,axiom,
green(n10,n11) ).
cnf(u74,axiom,
~ red(n9,n10) ).
cnf(u79,axiom,
green(n9,n10) ).
cnf(u83,axiom,
~ red(n8,n9) ).
cnf(u88,axiom,
green(n8,n9) ).
cnf(u93,axiom,
red(n7,n8) ).
cnf(u96,axiom,
~ green(n7,n8) ).
cnf(u102,axiom,
red(n6,n7) ).
cnf(u111,axiom,
red(n5,n6) ).
cnf(u114,axiom,
~ green(n5,n6) ).
cnf(u120,axiom,
red(n4,n5) ).
cnf(u123,axiom,
~ green(n4,n5) ).
cnf(u128,axiom,
~ red(n3,n4) ).
cnf(u133,axiom,
green(n3,n4) ).
cnf(u138,axiom,
red(n2,n3) ).
cnf(u141,axiom,
~ green(n2,n3) ).
cnf(u147,axiom,
red(n1,n2) ).
cnf(u183,axiom,
red(n1,n3) ).
cnf(u195,axiom,
~ red(n2,n4) ).
cnf(u200,axiom,
green(n2,n4) ).
cnf(u209,axiom,
red(n3,n5) ).
cnf(u212,axiom,
~ green(n3,n5) ).
cnf(u222,axiom,
red(n4,n6) ).
cnf(u225,axiom,
~ green(n4,n6) ).
cnf(u235,axiom,
red(n5,n7) ).
cnf(u248,axiom,
red(n6,n8) ).
cnf(u251,axiom,
~ green(n6,n8) ).
cnf(u261,axiom,
red(n7,n9) ).
cnf(u264,axiom,
~ green(n7,n9) ).
cnf(u274,axiom,
red(n8,n10) ).
cnf(u277,axiom,
~ green(n8,n10) ).
cnf(u285,axiom,
red(n9,n11) ).
cnf(u297,axiom,
red(n1,n4) ).
cnf(u308,axiom,
~ green(n10,n10) ).
cnf(u319,axiom,
~ red(n9,n9) ).
cnf(u330,axiom,
red(n2,n5) ).
cnf(u333,axiom,
~ green(n2,n5) ).
cnf(u341,axiom,
~ red(n8,n8) ).
cnf(u352,axiom,
~ red(n7,n7) ).
cnf(u362,axiom,
~ red(n3,n6) ).
cnf(u367,axiom,
green(n3,n6) ).
cnf(u374,axiom,
~ red(n6,n6) ).
cnf(u385,axiom,
~ red(n5,n5) ).
cnf(u395,axiom,
~ red(n4,n7) ).
cnf(u400,axiom,
green(n4,n7) ).
cnf(u408,axiom,
~ red(n4,n4) ).
cnf(u423,axiom,
~ red(n3,n3) ).
cnf(u434,axiom,
~ red(n5,n8) ).
cnf(u439,axiom,
green(n5,n8) ).
cnf(u447,axiom,
~ red(n2,n2) ).
cnf(u461,axiom,
~ red(n1,n1) ).
cnf(u471,axiom,
~ red(n6,n9) ).
cnf(u476,axiom,
green(n6,n9) ).
cnf(u486,axiom,
~ red(n7,n10) ).
cnf(u491,axiom,
green(n7,n10) ).
cnf(u500,axiom,
~ red(n8,n11) ).
cnf(u505,axiom,
green(n8,n11) ).
cnf(u516,axiom,
~ red(n1,n5) ).
cnf(u521,axiom,
green(n1,n5) ).
cnf(u534,axiom,
~ red(n2,n6) ).
cnf(u539,axiom,
green(n2,n6) ).
cnf(u556,axiom,
~ red(n3,n7) ).
cnf(u561,axiom,
green(n3,n7) ).
cnf(u579,axiom,
~ red(n4,n8) ).
cnf(u584,axiom,
green(n4,n8) ).
cnf(u602,axiom,
~ red(n5,n9) ).
cnf(u607,axiom,
green(n5,n9) ).
cnf(u618,axiom,
red(n6,n10) ).
cnf(u631,axiom,
~ red(n7,n11) ).
cnf(u636,axiom,
green(n7,n11) ).
cnf(u649,axiom,
red(n4,n9) ).
cnf(u661,axiom,
red(n5,n10) ).
cnf(u672,axiom,
red(n6,n11) ).
cnf(u685,axiom,
red(n1,n6) ).
cnf(u702,axiom,
red(n2,n7) ).
cnf(u723,axiom,
red(n1,n7) ).
cnf(u739,axiom,
~ red(n3,n8) ).
cnf(u744,axiom,
green(n3,n8) ).
cnf(u766,axiom,
~ red(n2,n8) ).
cnf(u771,axiom,
green(n2,n8) ).
cnf(u785,axiom,
~ red(n3,n9) ).
cnf(u790,axiom,
green(n3,n9) ).
cnf(u821,axiom,
red(n4,n10) ).
cnf(u839,axiom,
red(n5,n11) ).
cnf(u891,axiom,
red(n4,n11) ).
cnf(u943,axiom,
red(n1,n8) ).
cnf(u978,axiom,
red(n2,n9) ).
cnf(u1015,axiom,
red(n1,n9) ).
cnf(u1052,axiom,
red(n3,n10) ).
cnf(u1073,axiom,
red(n1,n10) ).
cnf(u1087,axiom,
red(n2,n10) ).
cnf(u1113,axiom,
red(n2,n11) ).
cnf(u1129,axiom,
red(n3,n11) ).
cnf(u1186,axiom,
~ red(n4,n3) ).
cnf(u1198,axiom,
~ green(n3,n3) ).
cnf(u1224,axiom,
red(n1,n11) ).
cnf(u1323,axiom,
~ green(n9,n9) ).
cnf(u1439,axiom,
~ green(n4,n4) ).
cnf(u1449,axiom,
~ green(n5,n5) ).
cnf(u1463,axiom,
~ green(n6,n6) ).
cnf(u1492,axiom,
~ red(n4,n2) ).
cnf(u1510,axiom,
~ green(n3,n2) ).
cnf(u1515,axiom,
~ green(n2,n2) ).
cnf(u1554,axiom,
~ green(n9,n7) ).
cnf(u1559,axiom,
~ green(n7,n7) ).
cnf(u1598,axiom,
~ green(n10,n8) ).
cnf(u1603,axiom,
~ green(n8,n8) ).
cnf(u1639,axiom,
~ red(n7,n4) ).
cnf(u1662,axiom,
~ red(n6,n3) ).
cnf(u1666,axiom,
~ red(n6,n5) ).
cnf(u1699,axiom,
~ red(n8,n5) ).
cnf(u1816,axiom,
~ green(n8,n6) ).
cnf(u1870,axiom,
~ red(n6,n4) ).
cnf(u1881,axiom,
~ green(n4,n3) ).
cnf(u2016,axiom,
~ red(n5,n1) ).
cnf(u2047,axiom,
~ red(n9,n6) ).
cnf(u2060,axiom,
~ green(n1,n1) ).
cnf(u2077,axiom,
~ red(n6,n2) ).
cnf(u2091,axiom,
~ green(n5,n4) ).
cnf(u2100,axiom,
~ green(n6,n5) ).
cnf(u2109,axiom,
~ green(n8,n7) ).
cnf(u2170,axiom,
~ red(n8,n4) ).
cnf(u2278,axiom,
~ red(n7,n3) ).
cnf(u2341,axiom,
~ red(n9,n5) ).
cnf(u2410,axiom,
~ green(n5,n3) ).
cnf(u2425,axiom,
~ red(n2,n1) ).
cnf(u2473,axiom,
~ red(n3,n2) ).
cnf(u2487,axiom,
~ green(n5,n2) ).
cnf(u2687,axiom,
~ red(n8,n3) ).
cnf(u2724,axiom,
~ red(n8,n2) ).
cnf(u2757,axiom,
~ red(n9,n3) ).
cnf(u268,axiom,
less_than(n8,n11) ).
cnf(u927,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(u530,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n6) ) ).
cnf(u1191,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(u529,axiom,
less_than(n2,n7) ).
cnf(u886,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n11) ) ).
cnf(u153,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n2) ) ).
cnf(u755,axiom,
less_than(n2,n10) ).
cnf(u1766,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(u1155,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(u525,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(u1946,axiom,
( ~ green(X1,n9)
| ~ green(X0,X1)
| ~ green(X0,n9)
| ~ green(X1,n8)
| ~ green(X0,n8)
| ~ green(X1,n5)
| ~ green(X0,n5) ) ).
cnf(u508,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(u1082,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n10) ) ).
cnf(u1068,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n10) ) ).
cnf(u1498,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(u1542,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(u781,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n9) ) ).
cnf(u962,axiom,
( ~ red(X1,n6)
| ~ red(X0,X1)
| ~ red(X0,n6)
| ~ red(X1,n4)
| ~ red(X0,n4)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u716,axiom,
less_than(n1,n9) ).
cnf(u2315,axiom,
( ~ red(X0,n9)
| ~ red(X0,n1)
| ~ red(X0,n7)
| ~ red(X0,n2) ) ).
cnf(u1973,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,n4)
| ~ red(X0,n4) ) ).
cnf(u415,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(u2346,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,n4)
| ~ red(X0,n4) ) ).
cnf(u1365,axiom,
( ~ red(X2,n11)
| ~ red(X0,X1)
| ~ red(X1,n11)
| ~ red(X0,n11)
| ~ red(X2,n2)
| ~ red(X1,n2)
| ~ red(X0,n2)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u25,axiom,
( ~ less_than(X1,X2)
| ~ less_than(X0,X1)
| less_than(X0,X2) ) ).
cnf(u2509,axiom,
( ~ green(X1,n9)
| ~ green(X0,X1)
| ~ green(X0,n9)
| ~ green(X1,n6)
| ~ green(X0,n6)
| ~ green(X1,n3)
| ~ green(X0,n3) ) ).
cnf(u243,axiom,
( ~ less_than(X0,n6)
| less_than(X0,n8) ) ).
cnf(u2348,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,n2)
| ~ red(X0,n2) ) ).
cnf(u2452,axiom,
( ~ green(X1,n8)
| ~ green(X0,X1)
| ~ green(X0,n8)
| ~ green(X1,n4)
| ~ green(X0,n4)
| ~ green(X1,n2)
| ~ green(X0,n2) ) ).
cnf(u1940,axiom,
( ~ green(X2,n9)
| ~ green(X0,X1)
| ~ green(X1,n9)
| ~ green(X0,n9)
| ~ green(X2,n5)
| ~ green(X1,n5)
| ~ green(X0,n5)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u2560,axiom,
( ~ red(X0,n10)
| ~ red(X0,n2)
| ~ red(X0,n5)
| ~ red(X0,n3) ) ).
cnf(u430,axiom,
( ~ less_than(X0,n5)
| less_than(X0,n8) ) ).
cnf(u678,axiom,
less_than(n1,n8) ).
cnf(u32,axiom,
less_than(n4,n5) ).
cnf(u391,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n7) ) ).
cnf(u416,axiom,
( ~ red(X1,n6)
| ~ red(X0,X1)
| ~ red(X0,n6)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,n4)
| ~ red(X0,n4) ) ).
cnf(u228,axiom,
less_than(n6,n8) ).
cnf(u26,axiom,
less_than(n10,n11) ).
cnf(u191,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n4) ) ).
cnf(u28,axiom,
less_than(n8,n9) ).
cnf(u1728,axiom,
( ~ red(X0,n10)
| ~ red(X0,n1)
| ~ red(X0,n8)
| ~ red(X0,n6) ) ).
cnf(u178,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n3) ) ).
cnf(u156,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n5) ) ).
cnf(u177,axiom,
less_than(n1,n4) ).
cnf(u959,axiom,
( ~ red(X2,n6)
| ~ red(X0,X1)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X2,n1)
| ~ red(X1,n1)
| ~ red(X0,n1)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u2053,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,n4)
| ~ red(X0,n4) ) ).
cnf(u1264,axiom,
( ~ green(X2,n6)
| ~ green(X0,X1)
| ~ green(X1,n6)
| ~ green(X0,n6)
| ~ green(X2,n3)
| ~ green(X1,n3)
| ~ green(X0,n3)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u933,axiom,
( ~ red(X1,n5)
| ~ red(X0,X1)
| ~ red(X0,n5)
| ~ red(X1,n3)
| ~ red(X0,n3)
| ~ red(X1,n2)
| ~ red(X0,n2) ) ).
cnf(u1290,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(u762,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n8) ) ).
cnf(u325,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n5) ) ).
cnf(u1244,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(u1344,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(u1991,axiom,
( ~ green(X1,n11)
| ~ green(X0,X1)
| ~ green(X0,n11)
| ~ green(X1,n10)
| ~ green(X0,n10)
| ~ green(X1,n7)
| ~ green(X0,n7) ) ).
cnf(u586,axiom,
less_than(n4,n10) ).
cnf(u2692,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n3)
| ~ red(X0,n3)
| ~ red(X1,n2)
| ~ red(X0,n2) ) ).
cnf(u909,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(u1394,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n9)
| ~ red(X0,n9)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u1047,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n10) ) ).
cnf(u1034,axiom,
( ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n7)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u1217,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(u1033,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(u454,axiom,
( ~ red(X2,n7)
| ~ red(X0,X1)
| ~ red(X1,n7)
| ~ red(X0,n7)
| ~ red(X2,n5)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u935,axiom,
less_than(n1,n11) ).
cnf(u644,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n9) ) ).
cnf(u1384,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(u1293,axiom,
( ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,n9)
| ~ red(X1,n7)
| ~ red(X0,n7)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u215,axiom,
less_than(n5,n7) ).
cnf(u563,axiom,
less_than(n2,n8) ).
cnf(u202,axiom,
less_than(n4,n6) ).
cnf(u171,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(u596,axiom,
less_than(n5,n11) ).
cnf(u174,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(u587,axiom,
less_than(n5,n10) ).
cnf(u204,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n5) ) ).
cnf(u552,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n7) ) ).
cnf(u173,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(u481,axiom,
less_than(n7,n11) ).
cnf(u160,axiom,
( ~ less_than(X0,n8)
| less_than(X0,n9) ) ).
cnf(u358,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n6) ) ).
cnf(u154,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n3) ) ).
cnf(u510,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(u863,axiom,
( ~ red(X2,n10)
| ~ red(X0,X1)
| ~ red(X1,n10)
| ~ red(X0,n10)
| ~ red(X2,n6)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u2611,axiom,
( ~ red(X0,n11)
| ~ red(X0,n2)
| ~ red(X0,n5)
| ~ red(X0,n3) ) ).
cnf(u1972,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,n5)
| ~ red(X0,n5) ) ).
cnf(u429,axiom,
less_than(n5,n9) ).
cnf(u2207,axiom,
( ~ red(X0,n11)
| ~ red(X0,n4)
| ~ red(X0,n6)
| ~ red(X0,n5) ) ).
cnf(u2801,axiom,
( ~ red(X0,n11)
| ~ red(X0,n1)
| ~ red(X0,n3)
| ~ red(X0,n2) ) ).
cnf(u379,axiom,
( ~ red(X2,n5)
| ~ red(X0,X1)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X2,n3)
| ~ red(X1,n3)
| ~ red(X0,n3)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u292,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n4) ) ).
cnf(u613,axiom,
( ~ less_than(X0,n6)
| less_than(X0,n10) ) ).
cnf(u733,axiom,
less_than(n3,n10) ).
cnf(u994,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(u2035,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,n2)
| ~ red(X0,n2) ) ).
cnf(u918,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(u1165,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(u1124,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n11) ) ).
cnf(u162,axiom,
( ~ less_than(X0,n10)
| less_than(X0,n11) ) ).
cnf(u34,axiom,
less_than(n2,n3) ).
cnf(u1785,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(u357,axiom,
less_than(n3,n7) ).
cnf(u2141,axiom,
( ~ red(X0,n11)
| ~ red(X0,n1)
| ~ red(X0,n9)
| ~ red(X0,n4) ) ).
cnf(u324,axiom,
less_than(n2,n6) ).
cnf(u313,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(u1811,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(u1270,axiom,
( ~ red(X2,n9)
| ~ red(X0,X1)
| ~ red(X1,n9)
| ~ red(X0,n9)
| ~ red(X2,n2)
| ~ red(X1,n2)
| ~ red(X0,n2)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u2357,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n4)
| ~ red(X0,n4)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u735,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n8) ) ).
cnf(u1333,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(u1279,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(u1906,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(u1393,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(u1252,axiom,
( ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u680,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n6) ) ).
cnf(u570,axiom,
less_than(n3,n9) ).
cnf(u2655,axiom,
( ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,n9)
| ~ red(X1,n2)
| ~ red(X0,n2)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u254,axiom,
less_than(n8,n10) ).
cnf(u667,axiom,
( ~ less_than(X0,n6)
| less_than(X0,n11) ) ).
cnf(u466,axiom,
less_than(n6,n10) ).
cnf(u656,axiom,
( ~ less_than(X0,n5)
| less_than(X0,n10) ) ).
cnf(u816,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n10) ) ).
cnf(u1849,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(u33,axiom,
less_than(n3,n4) ).
cnf(u230,axiom,
( ~ less_than(X0,n5)
| less_than(X0,n7) ) ).
cnf(u229,axiom,
less_than(n5,n8) ).
cnf(u27,axiom,
less_than(n9,n10) ).
cnf(u216,axiom,
less_than(n4,n7) ).
cnf(u30,axiom,
less_than(n6,n7) ).
cnf(u2446,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(u571,axiom,
less_than(n4,n9) ).
cnf(u29,axiom,
less_than(n7,n8) ).
cnf(u2693,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n3)
| ~ red(X0,n3)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u203,axiom,
less_than(n3,n6) ).
cnf(u168,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(u642,axiom,
less_than(n4,n11) ).
cnf(u175,axiom,
less_than(n1,n3) ).
cnf(u1273,axiom,
( ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,n9)
| ~ red(X1,n7)
| ~ red(X0,n7)
| ~ red(X1,n2)
| ~ red(X0,n2) ) ).
cnf(u2397,axiom,
( ~ green(X1,n8)
| ~ green(X0,X1)
| ~ green(X0,n8)
| ~ green(X1,n4)
| ~ green(X0,n4)
| ~ green(X1,n3)
| ~ green(X0,n3) ) ).
cnf(u161,axiom,
( ~ less_than(X0,n9)
| less_than(X0,n10) ) ).
cnf(u2225,axiom,
( ~ red(X0,n11)
| ~ red(X0,n1)
| ~ red(X0,n6)
| ~ red(X0,n4) ) ).
cnf(u2347,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,n3)
| ~ red(X0,n3) ) ).
cnf(u2152,axiom,
( ~ red(X0,n10)
| ~ red(X0,n4)
| ~ red(X0,n6)
| ~ red(X0,n5) ) ).
cnf(u479,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(u593,axiom,
less_than(n6,n11) ).
cnf(u2034,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,n3)
| ~ red(X0,n3) ) ).
cnf(u1219,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n11) ) ).
cnf(u1028,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n8)
| ~ red(X0,n8)
| ~ red(X1,n6)
| ~ red(X0,n6) ) ).
cnf(u545,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(u774,axiom,
less_than(n3,n11) ).
cnf(u482,axiom,
( ~ less_than(X0,n7)
| less_than(X0,n10) ) ).
cnf(u2729,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n2)
| ~ red(X0,n2)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u697,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n7) ) ).
cnf(u1174,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n9)
| ~ red(X0,n9)
| ~ red(X1,n4)
| ~ red(X0,n4) ) ).
cnf(u1334,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n8)
| ~ red(X0,n8)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u1173,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(u2507,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(u2510,axiom,
( ~ green(X1,n9)
| ~ green(X0,X1)
| ~ green(X0,n9)
| ~ green(X1,n8)
| ~ green(X0,n8)
| ~ green(X1,n3)
| ~ green(X0,n3) ) ).
cnf(u1316,axiom,
( ~ green(X2,n10)
| ~ green(X0,X1)
| ~ green(X1,n10)
| ~ green(X0,n10)
| ~ green(X2,n9)
| ~ green(X1,n9)
| ~ green(X0,n9)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u1366,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n9)
| ~ red(X0,n9)
| ~ red(X1,n2)
| ~ red(X0,n2) ) ).
cnf(u547,axiom,
less_than(n1,n7) ).
cnf(u390,axiom,
less_than(n4,n8) ).
cnf(u155,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n4) ) ).
cnf(u158,axiom,
( ~ less_than(X0,n6)
| less_than(X0,n7) ) ).
cnf(u1108,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n11) ) ).
cnf(u157,axiom,
( ~ less_than(X0,n5)
| less_than(X0,n6) ) ).
cnf(u695,axiom,
less_than(n2,n9) ).
cnf(u2033,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,n4)
| ~ red(X0,n4) ) ).
cnf(u190,axiom,
less_than(n2,n5) ).
cnf(u494,axiom,
( ~ red(X2,n9)
| ~ red(X0,X1)
| ~ red(X1,n9)
| ~ red(X0,n9)
| ~ red(X2,n7)
| ~ red(X1,n7)
| ~ red(X0,n7)
| ~ red(X1,X2)
| ~ red(X0,X2) ) ).
cnf(u455,axiom,
( ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n7)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,n5)
| ~ red(X0,n5) ) ).
cnf(u480,axiom,
( ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n7)
| ~ red(X0,n7)
| ~ red(X1,n6)
| ~ red(X0,n6) ) ).
cnf(u512,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n5) ) ).
cnf(u280,axiom,
( ~ less_than(X0,n9)
| less_than(X0,n11) ) ).
cnf(u255,axiom,
less_than(n7,n10) ).
cnf(u242,axiom,
less_than(n6,n9) ).
cnf(u241,axiom,
less_than(n7,n9) ).
cnf(u718,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n7) ) ).
cnf(u997,axiom,
( ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n7)
| ~ red(X1,n5)
| ~ red(X0,n5)
| ~ red(X1,n2)
| ~ red(X0,n2) ) ).
cnf(u35,axiom,
less_than(n1,n2) ).
cnf(u2391,axiom,
( ~ green(X2,n8)
| ~ green(X0,X1)
| ~ green(X1,n8)
| ~ green(X0,n8)
| ~ green(X2,n3)
| ~ green(X1,n3)
| ~ green(X0,n3)
| ~ green(X1,X2)
| ~ green(X0,X2) ) ).
cnf(u2762,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n3)
| ~ red(X0,n3)
| ~ red(X1,n2)
| ~ red(X0,n2) ) ).
cnf(u24,axiom,
( ~ less_than(X0,X1)
| green(X0,X1)
| red(X0,X1) ) ).
cnf(u31,axiom,
less_than(n5,n6) ).
cnf(u2712,axiom,
( ~ red(X0,n10)
| ~ red(X0,n1)
| ~ red(X0,n3)
| ~ red(X0,n2) ) ).
cnf(u2324,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n4)
| ~ red(X0,n4)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u973,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n9) ) ).
cnf(u1253,axiom,
( ~ red(X0,n8)
| ~ red(X0,n1)
| ~ red(X0,n7)
| ~ red(X0,n6) ) ).
cnf(u291,axiom,
less_than(n1,n5) ).
cnf(u773,axiom,
less_than(n2,n11) ).
cnf(u1250,axiom,
( ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n7)
| ~ red(X0,n7)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u1249,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(u496,axiom,
( ~ less_than(X0,n8)
| less_than(X0,n11) ) ).
cnf(u2763,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n3)
| ~ red(X0,n3)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u627,axiom,
( ~ less_than(X0,n7)
| less_than(X0,n11) ) ).
cnf(u1989,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(u1307,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(u1851,axiom,
( ~ green(X1,n7)
| ~ green(X0,X1)
| ~ green(X0,n7)
| ~ green(X1,n4)
| ~ green(X0,n4)
| ~ green(X1,n3)
| ~ green(X0,n3) ) ).
cnf(u2052,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,n5)
| ~ red(X0,n5) ) ).
cnf(u256,axiom,
( ~ less_than(X0,n7)
| less_than(X0,n9) ) ).
cnf(u2478,axiom,
( ~ red(X0,n11)
| ~ red(X0,n1)
| ~ red(X0,n9)
| ~ red(X0,n2) ) ).
cnf(u452,axiom,
( ~ red(X1,n3)
| ~ red(X0,X1)
| ~ red(X0,n3)
| ~ red(X1,n2)
| ~ red(X0,n2)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u2249,axiom,
( ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n7)
| ~ red(X1,n2)
| ~ red(X0,n2)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u511,axiom,
less_than(n1,n6) ).
cnf(u217,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n6) ) ).
cnf(u1010,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n9) ) ).
cnf(u189,axiom,
less_than(n3,n5) ).
cnf(u575,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n8) ) ).
cnf(u176,axiom,
less_than(n2,n4) ).
cnf(u1586,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(u170,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(u2054,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u169,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(u834,axiom,
( ~ less_than(X0,n5)
| less_than(X0,n11) ) ).
cnf(u2007,axiom,
( ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,n9)
| ~ red(X1,n4)
| ~ red(X0,n4)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u165,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(u551,axiom,
less_than(n3,n8) ).
cnf(u754,axiom,
less_than(n1,n10) ).
cnf(u159,axiom,
( ~ less_than(X0,n7)
| less_than(X0,n8) ) ).
cnf(u467,axiom,
( ~ less_than(X0,n6)
| less_than(X0,n9) ) ).
cnf(u598,axiom,
( ~ less_than(X0,n5)
| less_than(X0,n9) ) ).
cnf(u1974,axiom,
( ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n6)
| ~ red(X0,n6)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u2180,axiom,
( ~ red(X0,n10)
| ~ red(X0,n1)
| ~ red(X0,n6)
| ~ red(X0,n4) ) ).
cnf(u938,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n8) ) ).
cnf(u267,axiom,
less_than(n9,n11) ).
cnf(u2738,axiom,
( ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n2)
| ~ red(X0,n2)
| ~ red(X1,n1)
| ~ red(X0,n1) ) ).
cnf(u269,axiom,
( ~ less_than(X0,n8)
| less_than(X0,n10) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRA020+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.38 % Computer : n017.cluster.edu
% 0.11/0.38 % Model : x86_64 x86_64
% 0.11/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.38 % Memory : 8046.5625MB
% 0.11/0.38 % OS : Linux 6.8.0-71-generic
% 0.11/0.38 % CPULimit : 300
% 0.11/0.38 % WCLimit : 300
% 0.11/0.38 % DateTime : Sun Sep 27 08:44:49 UTC 2026
% 0.11/0.38 % CPUTime :
% 0.11/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.41 Running first-order theorem proving
% 0.11/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.88/1.57 % (2244290)Detected formulas, will run a generic FOF schedule.
% 3.88/1.57 % (2244299)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=980087714:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 3.88/1.57 % (2244299)Refutation not found, incomplete strategy
% 3.88/1.57 % (2244299)------------------------------
% 3.88/1.57 % (2244299)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.57 % (2244299)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.57 % (2244299)CaDiCaL version: 2.1.3
% 3.88/1.57 % (2244299)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.57 % (2244299)Time elapsed: 0.0000 s
% 3.88/1.57 % (2244299)Peak memory usage: 86 MB
% 3.88/1.57 % (2244296)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=3080443263:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 3.88/1.57 % (2244295)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=814119181:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 3.88/1.57 % (2244297)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=229966203:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 3.88/1.57 % (2244298)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=1253960361:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 3.88/1.57 % (2244300)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1708024976:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 3.88/1.57 % (2244298)Refutation not found, incomplete strategy
% 3.88/1.57 % (2244298)------------------------------
% 3.88/1.57 % (2244298)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.57 % (2244298)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.57 % (2244298)CaDiCaL version: 2.1.3
% 3.88/1.57 % (2244298)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.57 % (2244298)Time elapsed: 0.001 s
% 3.88/1.57 % (2244298)Peak memory usage: 87 MB
% 3.88/1.57 % (2244301)dis-21_1_sil=8000:lcm=predicate:random_seed=2814848766: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)
% 3.88/1.57 % (2244301)Instruction limit reached!
% 3.88/1.57 % (2244301)------------------------------
% 3.88/1.57 % (2244301)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.57 % (2244301)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.57 % (2244301)CaDiCaL version: 2.1.3
% 3.88/1.57 % (2244301)Termination reason: Instruction limit
% 3.88/1.57 % (2244301)Termination phase: Saturation
% 3.88/1.57 % (2244301)Time elapsed: 0.054 s
% 3.88/1.57 % (2244301)Peak memory usage: 88 MB
% 3.88/1.57 % (2244301)Instructions burned: 131 (million)
% 3.88/1.57 % (2244300)Instruction limit reached!
% 3.88/1.57 % (2244300)------------------------------
% 3.88/1.57 % (2244300)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.57 % (2244300)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.57 % (2244300)CaDiCaL version: 2.1.3
% 3.88/1.57 % (2244300)Termination reason: Instruction limit
% 3.88/1.57 % (2244300)Termination phase: Saturation
% 3.88/1.57 % (2244300)Time elapsed: 0.069 s
% 3.88/1.57 % (2244300)Peak memory usage: 88 MB
% 3.88/1.57 % (2244300)Instructions burned: 140 (million)
% 3.88/1.57 % (2244299)------------------------------
% 3.88/1.57 % (2244299)------------------------------
% 3.88/1.57 % (2244309)lrs+10_1_sil=8000:sp=occurrence:random_seed=573693461:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 3.88/1.57 % (2244311)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1542388479:i=325:sd=1:ss=axioms:sgt=32_2997 on theBenchmark for (2997ds/325Mi)
% 3.88/1.57 % (2244311)Refutation not found, incomplete strategy
% 3.88/1.57 % (2244311)------------------------------
% 3.88/1.57 % (2244311)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.57 % (2244311)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.57 % (2244311)CaDiCaL version: 2.1.3
% 3.88/1.57 % (2244311)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.57 % (2244311)Time elapsed: 0.0000 s
% 3.88/1.57 % (2244311)Peak memory usage: 87 MB
% 3.88/1.57 % (2244310)lrs+10_1_sil=32000:urr=on:br=off:random_seed=852917300:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 3.88/1.57 % (2244310)Refutation not found, incomplete strategy
% 3.88/1.57 % (2244310)------------------------------
% 3.88/1.57 % (2244310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.57 % (2244310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.57 % (2244310)CaDiCaL version: 2.1.3
% 3.88/1.57 % (2244310)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.57 % (2244310)Time elapsed: 0.001 s
% 3.88/1.57 % (2244310)Peak memory usage: 87 MB
% 3.88/1.57 % (2244298)------------------------------
% 3.88/1.57 % (2244298)------------------------------
% 3.88/1.57 % (2244309)First to succeed.
% 3.88/1.57 % (2244309)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2244290"
% 3.88/1.57 % (2244311)------------------------------
% 3.88/1.57 % (2244311)------------------------------
% 3.88/1.57 % (2244315)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=343824783:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 3.88/1.57 % (2244315)Refutation not found, incomplete strategy
% 3.88/1.57 % (2244315)------------------------------
% 3.88/1.57 % (2244315)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.57 % (2244315)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.57 % (2244315)CaDiCaL version: 2.1.3
% 3.88/1.57 % (2244315)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.57 % (2244315)Time elapsed: 0.004 s
% 3.88/1.57 % (2244315)Peak memory usage: 88 MB
% 3.88/1.57 % (2244315)Instructions burned: 5 (million)
% 3.88/1.57 % (2244310)------------------------------
% 3.88/1.57 % (2244310)------------------------------
% 3.88/1.57 % (2244316)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=3521231725:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 3.88/1.57 % (2244316)Refutation not found, incomplete strategy
% 3.88/1.57 % (2244316)------------------------------
% 3.88/1.57 % (2244316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.88/1.57 % (2244316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.88/1.57 % (2244316)CaDiCaL version: 2.1.3
% 3.88/1.57 % (2244316)Termination reason: Refutation not found, incomplete strategy
% 3.88/1.57 % (2244316)Time elapsed: 0.0000 s
% 3.88/1.57 % (2244316)Peak memory usage: 86 MB
% 3.88/1.57 % SZS status CounterSatisfiable for theBenchmark
% 3.88/1.57 % SZS output start Saturation.
% See solution above
% 5.63/1.78 % SZS output start Definitions and Model Updates.
% 5.63/1.78 % SZS output end Definitions and Model Updates.
% 5.63/1.78 % (2244309)------------------------------
% 5.63/1.78 % (2244309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.63/1.78 % (2244309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.63/1.78 % (2244309)CaDiCaL version: 2.1.3
% 5.63/1.78 % (2244309)Termination reason: Satisfiable
% 5.63/1.78 % (2244309)Time elapsed: 0.070 s
% 5.63/1.78 % (2244309)Peak memory usage: 89 MB
% 5.63/1.78 % (2244309)Instructions burned: 138 (million)
% 5.63/1.78 % (2244309)------------------------------
% 5.63/1.78 % (2244309)------------------------------
% 5.63/1.78 % (2244290)Success in time 0.716 s
% 5.63/1.78 % Vampire exiting
%------------------------------------------------------------------------------