%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRA024+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 : n006.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 09:55:23 AM UTC 2026
% Result : CounterSatisfiable 7.31s 2.00s
% Output : Saturation 8.65s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u51,axiom,
~ red(n10,n11) ).
cnf(u56,axiom,
green(n10,n11) ).
cnf(u61,axiom,
red(n9,n10) ).
cnf(u69,axiom,
~ red(n8,n9) ).
cnf(u74,axiom,
green(n8,n9) ).
cnf(u79,axiom,
red(n7,n8) ).
cnf(u82,axiom,
~ green(n7,n8) ).
cnf(u87,axiom,
~ red(n6,n7) ).
cnf(u92,axiom,
green(n6,n7) ).
cnf(u96,axiom,
~ red(n5,n6) ).
cnf(u101,axiom,
green(n5,n6) ).
cnf(u105,axiom,
~ red(n4,n5) ).
cnf(u110,axiom,
green(n4,n5) ).
cnf(u115,axiom,
red(n3,n4) ).
cnf(u123,axiom,
~ red(n2,n3) ).
cnf(u128,axiom,
green(n2,n3) ).
cnf(u133,axiom,
red(n1,n2) ).
cnf(u136,axiom,
~ green(n1,n2) ).
cnf(u167,axiom,
red(n1,n3) ).
cnf(u170,axiom,
~ green(n1,n3) ).
cnf(u180,axiom,
red(n9,n11) ).
cnf(u193,axiom,
red(n5,n7) ).
cnf(u207,axiom,
red(n6,n8) ).
cnf(u218,axiom,
~ red(n5,n8) ).
cnf(u223,axiom,
green(n5,n8) ).
cnf(u233,axiom,
~ red(n7,n9) ).
cnf(u238,axiom,
green(n7,n9) ).
cnf(u246,axiom,
red(n6,n9) ).
cnf(u259,axiom,
red(n3,n5) ).
cnf(u273,axiom,
~ red(n4,n6) ).
cnf(u278,axiom,
green(n4,n6) ).
cnf(u287,axiom,
red(n3,n6) ).
cnf(u299,axiom,
red(n3,n7) ).
cnf(u302,axiom,
~ green(n3,n7) ).
cnf(u311,axiom,
red(n3,n8) ).
cnf(u314,axiom,
~ green(n3,n8) ).
cnf(u325,axiom,
~ red(n2,n4) ).
cnf(u330,axiom,
green(n2,n4) ).
cnf(u337,axiom,
~ red(n1,n4) ).
cnf(u342,axiom,
green(n1,n4) ).
cnf(u350,axiom,
red(n1,n5) ).
cnf(u363,axiom,
red(n1,n6) ).
cnf(u378,axiom,
~ red(n8,n10) ).
cnf(u383,axiom,
green(n8,n10) ).
cnf(u392,axiom,
red(n7,n10) ).
cnf(u403,axiom,
red(n7,n11) ).
cnf(u415,negated_conjecture,
~ red(n9,n9) ).
cnf(u427,negated_conjecture,
~ green(n10,n10) ).
cnf(u438,axiom,
red(n1,n7) ).
cnf(u441,axiom,
~ green(n1,n7) ).
cnf(u451,negated_conjecture,
~ red(n8,n7) ).
cnf(u459,negated_conjecture,
~ red(n7,n7) ).
cnf(u475,negated_conjecture,
~ red(n6,n5) ).
cnf(u483,negated_conjecture,
~ red(n5,n5) ).
cnf(u495,negated_conjecture,
~ red(n2,n1) ).
cnf(u503,negated_conjecture,
~ red(n1,n1) ).
cnf(u515,negated_conjecture,
~ red(n9,n8) ).
cnf(u523,negated_conjecture,
~ red(n8,n8) ).
cnf(u536,negated_conjecture,
~ red(n7,n6) ).
cnf(u544,negated_conjecture,
~ red(n6,n6) ).
cnf(u557,negated_conjecture,
~ red(n3,n2) ).
cnf(u565,negated_conjecture,
~ red(n2,n2) ).
cnf(u576,axiom,
~ red(n3,n9) ).
cnf(u581,axiom,
green(n3,n9) ).
cnf(u590,negated_conjecture,
~ red(n4,n3) ).
cnf(u598,negated_conjecture,
~ red(n3,n3) ).
cnf(u611,negated_conjecture,
~ red(n5,n4) ).
cnf(u619,negated_conjecture,
~ red(n4,n4) ).
cnf(u651,negated_conjecture,
~ green(n2,n2) ).
cnf(u672,negated_conjecture,
~ green(n7,n7) ).
cnf(u693,negated_conjecture,
~ green(n6,n6) ).
cnf(u711,negated_conjecture,
~ green(n8,n8) ).
cnf(u732,negated_conjecture,
~ green(n5,n5) ).
cnf(u751,negated_conjecture,
~ green(n4,n4) ).
cnf(u767,axiom,
red(n4,n7) ).
cnf(u781,axiom,
red(n4,n8) ).
cnf(u798,axiom,
red(n4,n9) ).
cnf(u812,axiom,
red(n8,n11) ).
cnf(u827,axiom,
red(n1,n8) ).
cnf(u830,axiom,
~ green(n1,n8) ).
cnf(u838,axiom,
~ red(n1,n9) ).
cnf(u843,axiom,
green(n1,n9) ).
cnf(u850,axiom,
~ red(n1,n10) ).
cnf(u855,axiom,
green(n1,n10) ).
cnf(u862,axiom,
red(n1,n11) ).
cnf(u865,axiom,
~ green(n1,n11) ).
cnf(u888,axiom,
red(n3,n10) ).
cnf(u891,axiom,
~ green(n3,n10) ).
cnf(u901,axiom,
~ red(n3,n11) ).
cnf(u906,axiom,
green(n3,n11) ).
cnf(u917,axiom,
red(n5,n9) ).
cnf(u929,axiom,
red(n5,n10) ).
cnf(u946,axiom,
red(n5,n11) ).
cnf(u961,axiom,
red(n6,n10) ).
cnf(u975,axiom,
red(n6,n11) ).
cnf(u990,axiom,
red(n2,n5) ).
cnf(u1004,axiom,
red(n2,n6) ).
cnf(u1019,axiom,
red(n2,n7) ).
cnf(u1034,axiom,
red(n4,n10) ).
cnf(u1048,axiom,
red(n4,n11) ).
cnf(u1063,axiom,
red(n2,n8) ).
cnf(u1080,axiom,
red(n2,n9) ).
cnf(u1095,axiom,
red(n2,n10) ).
cnf(u1106,axiom,
red(n2,n11) ).
cnf(u1162,negated_conjecture,
~ red(n9,n7) ).
cnf(u1223,negated_conjecture,
~ red(n4,n1) ).
cnf(u1231,negated_conjecture,
~ red(n3,n1) ).
cnf(u1258,negated_conjecture,
~ red(n6,n3) ).
cnf(u1266,negated_conjecture,
~ red(n5,n3) ).
cnf(u1329,negated_conjecture,
~ green(n7,n3) ).
cnf(u1334,negated_conjecture,
~ green(n3,n3) ).
cnf(u1394,negated_conjecture,
~ red(n4,n2) ).
cnf(u1413,negated_conjecture,
~ red(n9,n3) ).
cnf(u1433,negated_conjecture,
~ green(n10,n1) ).
cnf(u1438,negated_conjecture,
~ green(n1,n1) ).
cnf(u1455,negated_conjecture,
~ red(n6,n1) ).
cnf(u1497,negated_conjecture,
~ red(n5,n1) ).
cnf(u1537,negated_conjecture,
~ red(n6,n4) ).
cnf(u1557,negated_conjecture,
~ red(n9,n1) ).
cnf(u1581,negated_conjecture,
~ green(n7,n1) ).
cnf(u1586,negated_conjecture,
~ green(n3,n1) ).
cnf(u1652,negated_conjecture,
~ green(n8,n1) ).
cnf(u1660,negated_conjecture,
~ green(n10,n3) ).
cnf(u1668,negated_conjecture,
~ green(n2,n1) ).
cnf(u1725,negated_conjecture,
~ red(n11,n7) ).
cnf(u1729,negated_conjecture,
~ red(n11,n5) ).
cnf(u1736,negated_conjecture,
~ red(n11,n3) ).
cnf(u1779,negated_conjecture,
~ red(n11,n8) ).
cnf(u1783,negated_conjecture,
~ red(n11,n6) ).
cnf(u1816,negated_conjecture,
~ red(n10,n9) ).
cnf(u1820,negated_conjecture,
~ red(n10,n8) ).
cnf(u1827,negated_conjecture,
~ red(n10,n6) ).
cnf(u1855,negated_conjecture,
~ red(n10,n7) ).
cnf(u1921,negated_conjecture,
~ red(n8,n6) ).
cnf(u1959,negated_conjecture,
~ red(n8,n2) ).
cnf(u1967,negated_conjecture,
~ red(n6,n2) ).
cnf(u1975,negated_conjecture,
~ red(n5,n2) ).
cnf(u2018,negated_conjecture,
~ green(n8,n7) ).
cnf(u2026,negated_conjecture,
~ green(n8,n3) ).
cnf(u2086,negated_conjecture,
~ red(n7,n5) ).
cnf(u2144,negated_conjecture,
~ red(n7,n2) ).
cnf(u2216,negated_conjecture,
~ red(n7,n4) ).
cnf(u2315,negated_conjecture,
~ red(n9,n6) ).
cnf(u2322,negated_conjecture,
~ red(n9,n2) ).
cnf(u2351,negated_conjecture,
~ red(n7,n1) ).
cnf(u2519,negated_conjecture,
~ red(n8,n5) ).
cnf(u881,negated_conjecture,
( ~ red(X2,n8)
| ~ red(X2,n1)
| ~ red(X0,n1)
| ~ red(X1,n1)
| ~ red(X2,n7)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u421,negated_conjecture,
( ~ red(X3,n5)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n1)
| ~ red(X2,n1)
| ~ red(X1,n1)
| ~ red(X3,n1)
| ~ red(X0,n5)
| ~ red(X2,n5)
| ~ red(X1,n5)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u1372,negated_conjecture,
( ~ red(X2,n10)
| ~ red(X2,n3)
| ~ red(X0,n3)
| ~ red(X1,n3)
| ~ red(X2,n5)
| ~ red(X0,n5)
| ~ red(X1,n5)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n10)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u1291,negated_conjecture,
( ~ red(X2,n8)
| ~ red(X2,n1)
| ~ red(X0,n1)
| ~ red(X1,n1)
| ~ red(X2,n3)
| ~ red(X0,n3)
| ~ red(X1,n3)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u371,axiom,
less_than(n7,n10) ).
cnf(u1524,negated_conjecture,
( ~ red(X2,n7)
| ~ red(X2,n1)
| ~ red(X0,n1)
| ~ red(X1,n1)
| ~ red(X2,n2)
| ~ red(X0,n2)
| ~ red(X1,n2)
| ~ red(X0,X1)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u1131,negated_conjecture,
( ~ red(X2,n11)
| ~ red(X2,n4)
| ~ red(X0,n4)
| ~ red(X1,n4)
| ~ red(X2,n8)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u1627,negated_conjecture,
( ~ red(X2,n11)
| ~ red(X2,n1)
| ~ red(X0,n1)
| ~ red(X1,n1)
| ~ red(X2,n6)
| ~ red(X0,n6)
| ~ red(X1,n6)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u153,negated_conjecture,
( ~ red(X3,n10)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n9)
| ~ red(X2,n9)
| ~ red(X1,n9)
| ~ red(X3,n9)
| ~ red(X0,n10)
| ~ red(X2,n10)
| ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u1133,negated_conjecture,
( ~ red(X2,n11)
| ~ red(X2,n2)
| ~ red(X0,n2)
| ~ red(X1,n2)
| ~ red(X2,n8)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u1765,negated_conjecture,
( ~ red(n1,X1)
| ~ red(X1,n3)
| ~ red(X0,n6)
| ~ red(X1,n6)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X0,n3)
| ~ red(n1,X0) ) ).
cnf(u833,axiom,
less_than(n1,n10) ).
cnf(u744,negated_conjecture,
( ~ green(X3,n5)
| ~ green(X2,X1)
| ~ green(X0,X3)
| ~ green(X2,X3)
| ~ green(X1,X3)
| ~ green(X0,n4)
| ~ green(X2,n4)
| ~ green(X1,n4)
| ~ green(X3,n4)
| ~ green(X0,n5)
| ~ green(X2,n5)
| ~ green(X1,n5)
| ~ green(X0,X1)
| ~ green(X0,X2) ) ).
cnf(u805,negated_conjecture,
( ~ red(X3,n9)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n4)
| ~ red(X2,n4)
| ~ red(X1,n4)
| ~ red(X3,n4)
| ~ red(X0,n9)
| ~ red(X2,n9)
| ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u1129,negated_conjecture,
( ~ red(X2,n11)
| ~ red(X2,n6)
| ~ red(X0,n6)
| ~ red(X1,n6)
| ~ red(X2,n8)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u1167,negated_conjecture,
( ~ red(X2,n11)
| ~ red(X2,n5)
| ~ red(X0,n5)
| ~ red(X1,n5)
| ~ red(X2,n7)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u633,negated_conjecture,
( ~ red(X2,n7)
| ~ red(X2,n1)
| ~ red(X0,n1)
| ~ red(X1,n1)
| ~ red(X2,n5)
| ~ red(X0,n5)
| ~ red(X1,n5)
| ~ red(X0,X1)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u2444,negated_conjecture,
( ~ red(n1,X1)
| ~ red(X1,n5)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X0,n5)
| ~ red(n1,X0) ) ).
cnf(u846,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n10) ) ).
cnf(u1011,negated_conjecture,
( ~ red(X3,n6)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n2)
| ~ red(X2,n2)
| ~ red(X1,n2)
| ~ red(X3,n2)
| ~ red(X0,n6)
| ~ red(X2,n6)
| ~ red(X1,n6)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u924,axiom,
( ~ less_than(X0,n5)
| less_than(X0,n10) ) ).
cnf(u139,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n2) ) ).
cnf(u25,axiom,
less_than(n5,n6) ).
cnf(u141,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n4) ) ).
cnf(u1352,negated_conjecture,
( ~ red(X2,n10)
| ~ red(X2,n5)
| ~ red(X0,n5)
| ~ red(X1,n5)
| ~ red(X2,n7)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n10)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u332,axiom,
less_than(n1,n5) ).
cnf(u1071,negated_conjecture,
( ~ red(X3,n8)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n2)
| ~ red(X2,n2)
| ~ red(X1,n2)
| ~ red(X3,n2)
| ~ red(X0,n8)
| ~ red(X2,n8)
| ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u1058,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n8) ) ).
cnf(u282,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n6) ) ).
cnf(u635,negated_conjecture,
( ~ red(X3,n6)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n1)
| ~ red(X2,n1)
| ~ red(X1,n1)
| ~ red(X3,n1)
| ~ red(X0,n6)
| ~ red(X2,n6)
| ~ red(X1,n6)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u420,negated_conjecture,
( ~ red(X3,n7)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n3)
| ~ red(X2,n3)
| ~ red(X1,n3)
| ~ red(X3,n3)
| ~ red(X0,n7)
| ~ red(X2,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u1373,negated_conjecture,
( ~ red(X2,n10)
| ~ red(X2,n2)
| ~ red(X0,n2)
| ~ red(X1,n2)
| ~ red(X2,n5)
| ~ red(X0,n5)
| ~ red(X1,n5)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n10)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u983,negated_conjecture,
( ~ red(X2,n11)
| ~ red(X2,n6)
| ~ red(X0,n6)
| ~ red(X1,n6)
| ~ red(X2,n9)
| ~ red(X0,n9)
| ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u173,negated_conjecture,
( ~ red(X3,n3)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n1)
| ~ red(X2,n1)
| ~ red(X1,n1)
| ~ red(X3,n1)
| ~ red(X0,n3)
| ~ red(X2,n3)
| ~ red(X1,n3)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u1148,negated_conjecture,
( ~ red(X2,n5)
| ~ red(X2,n1)
| ~ red(X0,n1)
| ~ red(X1,n1)
| ~ red(X2,n2)
| ~ red(X0,n2)
| ~ red(X1,n2)
| ~ red(X0,X1)
| ~ red(X0,n5)
| ~ red(X1,n5)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u939,negated_conjecture,
( ~ red(X3,n10)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n5)
| ~ red(X2,n5)
| ~ red(X1,n5)
| ~ red(X3,n5)
| ~ red(X0,n10)
| ~ red(X2,n10)
| ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u1317,negated_conjecture,
( ~ green(X3,n9)
| ~ green(X2,X1)
| ~ green(X0,X3)
| ~ green(X2,X3)
| ~ green(X1,X3)
| ~ green(X0,n3)
| ~ green(X2,n3)
| ~ green(X1,n3)
| ~ green(X3,n3)
| ~ green(X0,n9)
| ~ green(X2,n9)
| ~ green(X1,n9)
| ~ green(X0,X1)
| ~ green(X0,X2) ) ).
cnf(u1598,negated_conjecture,
( ~ red(X2,n10)
| ~ red(X2,n3)
| ~ red(X0,n3)
| ~ red(X1,n3)
| ~ red(X2,n6)
| ~ red(X0,n6)
| ~ red(X1,n6)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n10)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u226,axiom,
less_than(n5,n9) ).
cnf(u1514,negated_conjecture,
( ~ green(X3,n4)
| ~ green(X2,X1)
| ~ green(X0,X3)
| ~ green(X2,X3)
| ~ green(X1,X3)
| ~ green(X0,n2)
| ~ green(X2,n2)
| ~ green(X1,n2)
| ~ green(X3,n2)
| ~ green(X0,n4)
| ~ green(X2,n4)
| ~ green(X1,n4)
| ~ green(X0,X1)
| ~ green(X0,X2) ) ).
cnf(u2289,negated_conjecture,
( ~ red(n1,X0)
| ~ red(X0,n2)
| ~ red(X0,n11)
| ~ red(X0,n6)
| ~ red(X0,n8) ) ).
cnf(u985,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n5) ) ).
cnf(u228,axiom,
less_than(n7,n9) ).
cnf(u857,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n11) ) ).
cnf(u26,axiom,
less_than(n4,n5) ).
cnf(u319,axiom,
less_than(n2,n4) ).
cnf(u28,axiom,
less_than(n2,n3) ).
cnf(u630,negated_conjecture,
( ~ red(X2,n8)
| ~ red(X2,n3)
| ~ red(X0,n3)
| ~ red(X1,n3)
| ~ red(X2,n6)
| ~ red(X0,n6)
| ~ red(X1,n6)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u305,axiom,
less_than(n3,n9) ).
cnf(u1014,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n7) ) ).
cnf(u629,negated_conjecture,
( ~ red(X3,n8)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n3)
| ~ red(X2,n3)
| ~ red(X1,n3)
| ~ red(X3,n3)
| ~ red(X0,n8)
| ~ red(X2,n8)
| ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u22,axiom,
less_than(n8,n9) ).
cnf(u21,axiom,
less_than(n9,n10) ).
cnf(u883,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n10) ) ).
cnf(u762,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n7) ) ).
cnf(u1244,negated_conjecture,
( ~ red(X2,n8)
| ~ red(X2,n3)
| ~ red(X0,n3)
| ~ red(X1,n3)
| ~ red(X2,n4)
| ~ red(X0,n4)
| ~ red(X1,n4)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u761,axiom,
less_than(n4,n8) ).
cnf(u281,axiom,
less_than(n3,n7) ).
cnf(u1057,axiom,
less_than(n2,n9) ).
cnf(u880,negated_conjecture,
( ~ red(X2,n8)
| ~ red(X2,n1)
| ~ red(X0,n1)
| ~ red(X1,n1)
| ~ red(X2,n6)
| ~ red(X0,n6)
| ~ red(X1,n6)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u333,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n4) ) ).
cnf(u1551,negated_conjecture,
( ~ red(X2,n9)
| ~ red(X2,n2)
| ~ red(X0,n2)
| ~ red(X1,n2)
| ~ red(X2,n5)
| ~ red(X0,n5)
| ~ red(X1,n5)
| ~ red(X0,X1)
| ~ red(X0,n9)
| ~ red(X1,n9)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u1380,negated_conjecture,
( ~ red(X2,n6)
| ~ red(X2,n1)
| ~ red(X0,n1)
| ~ red(X1,n1)
| ~ red(X2,n2)
| ~ red(X0,n2)
| ~ red(X1,n2)
| ~ red(X0,X1)
| ~ red(X0,n6)
| ~ red(X1,n6)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u1114,negated_conjecture,
( ~ red(X2,n11)
| ~ red(X2,n2)
| ~ red(X0,n2)
| ~ red(X1,n2)
| ~ red(X2,n9)
| ~ red(X0,n9)
| ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u2794,negated_conjecture,
( ~ red(n1,X1)
| ~ red(X1,n2)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X0,n2)
| ~ red(n1,X0) ) ).
cnf(u358,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n6) ) ).
cnf(u1313,negated_conjecture,
( ~ red(X2,n9)
| ~ red(X2,n2)
| ~ red(X0,n2)
| ~ red(X1,n2)
| ~ red(X2,n6)
| ~ red(X0,n6)
| ~ red(X1,n6)
| ~ red(X0,X1)
| ~ red(X0,n9)
| ~ red(X1,n9)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u644,negated_conjecture,
( ~ green(X3,n3)
| ~ green(X2,X1)
| ~ green(X0,X3)
| ~ green(X2,X3)
| ~ green(X1,X3)
| ~ green(X0,n2)
| ~ green(X2,n2)
| ~ green(X1,n2)
| ~ green(X3,n2)
| ~ green(X0,n3)
| ~ green(X2,n3)
| ~ green(X1,n3)
| ~ green(X0,X1)
| ~ green(X0,X2) ) ).
cnf(u1141,negated_conjecture,
( ~ red(X2,n7)
| ~ red(X2,n3)
| ~ red(X0,n3)
| ~ red(X1,n3)
| ~ red(X2,n4)
| ~ red(X0,n4)
| ~ red(X1,n4)
| ~ red(X0,X1)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u984,axiom,
less_than(n2,n6) ).
cnf(u572,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n9) ) ).
cnf(u241,axiom,
( ~ less_than(X0,n6)
| less_than(X0,n9) ) ).
cnf(u2595,negated_conjecture,
( ~ red(n3,X1)
| ~ red(X1,n5)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n10)
| ~ red(X0,n5)
| ~ red(n3,X0) ) ).
cnf(u202,axiom,
( ~ less_than(X0,n6)
| less_than(X0,n8) ) ).
cnf(u2266,negated_conjecture,
( ~ red(n1,X1)
| ~ red(X1,n6)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X0,n6)
| ~ red(n1,X0) ) ).
cnf(u2235,negated_conjecture,
( ~ red(n1,X1)
| ~ red(X1,n2)
| ~ red(X0,n5)
| ~ red(X1,n5)
| ~ red(X0,X1)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,n2)
| ~ red(n1,X0) ) ).
cnf(u201,axiom,
less_than(n6,n8) ).
cnf(u174,axiom,
less_than(n9,n11) ).
cnf(u1633,negated_conjecture,
( ~ green(X3,n4)
| ~ green(X2,X1)
| ~ green(X0,X3)
| ~ green(X2,X3)
| ~ green(X1,X3)
| ~ green(X0,n1)
| ~ green(X2,n1)
| ~ green(X1,n1)
| ~ green(X3,n1)
| ~ green(X0,n4)
| ~ green(X2,n4)
| ~ green(X1,n4)
| ~ green(X0,X1)
| ~ green(X0,X2) ) ).
cnf(u911,axiom,
less_than(n5,n10) ).
cnf(u936,negated_conjecture,
( ~ red(X3,n9)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n5)
| ~ red(X2,n5)
| ~ red(X1,n5)
| ~ red(X3,n5)
| ~ red(X0,n9)
| ~ red(X2,n9)
| ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u386,axiom,
less_than(n7,n11) ).
cnf(u344,axiom,
less_than(n1,n6) ).
cnf(u1117,negated_conjecture,
( ~ red(X2,n10)
| ~ red(X2,n2)
| ~ red(X0,n2)
| ~ red(X1,n2)
| ~ red(X2,n9)
| ~ red(X0,n9)
| ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n10)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u147,axiom,
( ~ less_than(X0,n9)
| less_than(X0,n10) ) ).
cnf(u2746,negated_conjecture,
( ~ red(n2,X1)
| ~ red(X1,n6)
| ~ red(X0,n9)
| ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n10)
| ~ red(X0,n6)
| ~ red(n2,X0) ) ).
cnf(u819,negated_conjecture,
( ~ red(X3,n11)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n8)
| ~ red(X2,n8)
| ~ red(X1,n8)
| ~ red(X3,n8)
| ~ red(X0,n11)
| ~ red(X2,n11)
| ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u970,axiom,
( ~ less_than(X0,n6)
| less_than(X0,n11) ) ).
cnf(u149,negated_conjecture,
( ~ green(X3,n11)
| ~ green(X2,X1)
| ~ green(X0,X3)
| ~ green(X2,X3)
| ~ green(X1,X3)
| ~ green(X0,n10)
| ~ green(X2,n10)
| ~ green(X1,n10)
| ~ green(X3,n10)
| ~ green(X0,n11)
| ~ green(X2,n11)
| ~ green(X1,n11)
| ~ green(X0,X1)
| ~ green(X0,X2) ) ).
cnf(u186,negated_conjecture,
( ~ red(X3,n11)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n9)
| ~ red(X2,n9)
| ~ red(X1,n9)
| ~ red(X3,n9)
| ~ red(X0,n11)
| ~ red(X2,n11)
| ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u143,axiom,
( ~ less_than(X0,n5)
| less_than(X0,n6) ) ).
cnf(u188,axiom,
( ~ less_than(X0,n5)
| less_than(X0,n7) ) ).
cnf(u1625,negated_conjecture,
( ~ red(X2,n11)
| ~ red(X2,n1)
| ~ red(X0,n1)
| ~ red(X1,n1)
| ~ red(X2,n2)
| ~ red(X0,n2)
| ~ red(X1,n2)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u409,negated_conjecture,
( ~ red(X3,n10)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n7)
| ~ red(X2,n7)
| ~ red(X1,n7)
| ~ red(X3,n7)
| ~ red(X0,n10)
| ~ red(X2,n10)
| ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u1564,negated_conjecture,
( ~ green(X3,n9)
| ~ green(X2,X1)
| ~ green(X0,X3)
| ~ green(X2,X3)
| ~ green(X1,X3)
| ~ green(X0,n1)
| ~ green(X2,n1)
| ~ green(X1,n1)
| ~ green(X3,n1)
| ~ green(X0,n9)
| ~ green(X2,n9)
| ~ green(X1,n9)
| ~ green(X0,X1)
| ~ green(X0,X2) ) ).
cnf(u1624,negated_conjecture,
( ~ red(X3,n11)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n1)
| ~ red(X2,n1)
| ~ red(X1,n1)
| ~ red(X3,n1)
| ~ red(X0,n11)
| ~ red(X2,n11)
| ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u1013,axiom,
less_than(n2,n8) ).
cnf(u2047,negated_conjecture,
( ~ red(n2,X1)
| ~ red(X1,n5)
| ~ red(X0,n9)
| ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X0,n5)
| ~ red(n2,X0) ) ).
cnf(u686,negated_conjecture,
( ~ green(X3,n7)
| ~ green(X2,X1)
| ~ green(X0,X3)
| ~ green(X2,X3)
| ~ green(X1,X3)
| ~ green(X0,n6)
| ~ green(X2,n6)
| ~ green(X1,n6)
| ~ green(X3,n6)
| ~ green(X0,n7)
| ~ green(X2,n7)
| ~ green(X1,n7)
| ~ green(X0,X1)
| ~ green(X0,X2) ) ).
cnf(u387,axiom,
( ~ less_than(X0,n7)
| less_than(X0,n10) ) ).
cnf(u1168,negated_conjecture,
( ~ red(X2,n11)
| ~ red(X2,n4)
| ~ red(X0,n4)
| ~ red(X1,n4)
| ~ red(X2,n7)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u162,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n3) ) ).
cnf(u34,axiom,
( ~ less_than(X0,X1)
| green(X0,X1)
| red(X0,X1) ) ).
cnf(u956,axiom,
( ~ less_than(X0,n6)
| less_than(X0,n10) ) ).
cnf(u725,negated_conjecture,
( ~ green(X3,n6)
| ~ green(X2,X1)
| ~ green(X0,X3)
| ~ green(X2,X3)
| ~ green(X1,X3)
| ~ green(X0,n5)
| ~ green(X2,n5)
| ~ green(X1,n5)
| ~ green(X3,n5)
| ~ green(X0,n6)
| ~ green(X2,n6)
| ~ green(X1,n6)
| ~ green(X0,X1)
| ~ green(X0,X2) ) ).
cnf(u357,axiom,
less_than(n1,n7) ).
cnf(u1604,negated_conjecture,
( ~ green(X3,n6)
| ~ green(X2,X1)
| ~ green(X0,X3)
| ~ green(X2,X3)
| ~ green(X1,X3)
| ~ green(X0,n4)
| ~ green(X2,n4)
| ~ green(X1,n4)
| ~ green(X3,n4)
| ~ green(X0,n6)
| ~ green(X2,n6)
| ~ green(X1,n6)
| ~ green(X0,X1)
| ~ green(X0,X2) ) ).
cnf(u1195,negated_conjecture,
( ~ red(X2,n7)
| ~ red(X2,n1)
| ~ red(X0,n1)
| ~ red(X1,n1)
| ~ red(X2,n3)
| ~ red(X0,n3)
| ~ red(X1,n3)
| ~ red(X0,X1)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u822,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n8) ) ).
cnf(u1113,negated_conjecture,
( ~ red(X3,n11)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n2)
| ~ red(X2,n2)
| ~ red(X1,n2)
| ~ red(X3,n2)
| ~ red(X0,n11)
| ~ red(X2,n11)
| ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u1746,negated_conjecture,
( ~ red(n1,X1)
| ~ red(X1,n3)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X0,n3)
| ~ red(n1,X0) ) ).
cnf(u1072,negated_conjecture,
( ~ red(X2,n8)
| ~ red(X2,n2)
| ~ red(X0,n2)
| ~ red(X1,n2)
| ~ red(X2,n6)
| ~ red(X0,n6)
| ~ red(X1,n6)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u1043,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n11) ) ).
cnf(u320,axiom,
less_than(n2,n5) ).
cnf(u704,negated_conjecture,
( ~ green(X3,n10)
| ~ green(X2,X1)
| ~ green(X0,X3)
| ~ green(X2,X3)
| ~ green(X1,X3)
| ~ green(X0,n8)
| ~ green(X2,n8)
| ~ green(X1,n8)
| ~ green(X3,n8)
| ~ green(X0,n10)
| ~ green(X2,n10)
| ~ green(X1,n10)
| ~ green(X0,X1)
| ~ green(X0,X2) ) ).
cnf(u1090,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n10) ) ).
cnf(u1089,axiom,
less_than(n2,n11) ).
cnf(u254,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n5) ) ).
cnf(u2664,negated_conjecture,
( ~ red(n1,X0)
| ~ red(X0,n2)
| ~ red(X0,n11)
| ~ red(X0,n7)
| ~ red(X0,n8) ) ).
cnf(u632,negated_conjecture,
( ~ red(X3,n7)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n1)
| ~ red(X2,n1)
| ~ red(X1,n1)
| ~ red(X3,n1)
| ~ red(X0,n7)
| ~ red(X2,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u253,axiom,
less_than(n3,n5) ).
cnf(u466,negated_conjecture,
( ~ red(X3,n11)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n7)
| ~ red(X2,n7)
| ~ red(X1,n7)
| ~ red(X3,n7)
| ~ red(X0,n11)
| ~ red(X2,n11)
| ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u1055,negated_conjecture,
( ~ red(X3,n11)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n4)
| ~ red(X2,n4)
| ~ red(X1,n4)
| ~ red(X3,n4)
| ~ red(X0,n11)
| ~ red(X2,n11)
| ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u791,negated_conjecture,
( ~ red(X2,n8)
| ~ red(X2,n4)
| ~ red(X0,n4)
| ~ red(X1,n4)
| ~ red(X2,n7)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u1042,negated_conjecture,
( ~ red(X2,n10)
| ~ red(X2,n4)
| ~ red(X0,n4)
| ~ red(X1,n4)
| ~ red(X2,n9)
| ~ red(X0,n9)
| ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n10)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u2265,negated_conjecture,
( ~ red(n2,X1)
| ~ red(X1,n6)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X0,n6)
| ~ red(n2,X0) ) ).
cnf(u266,axiom,
less_than(n3,n6) ).
cnf(u29,axiom,
less_than(n1,n2) ).
cnf(u1630,negated_conjecture,
( ~ red(X2,n11)
| ~ red(X2,n1)
| ~ red(X0,n1)
| ~ red(X1,n1)
| ~ red(X2,n7)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u1170,negated_conjecture,
( ~ red(X2,n11)
| ~ red(X2,n2)
| ~ red(X0,n2)
| ~ red(X1,n2)
| ~ red(X2,n7)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u268,axiom,
less_than(n4,n7) ).
cnf(u227,axiom,
less_than(n6,n9) ).
cnf(u1629,negated_conjecture,
( ~ red(X2,n11)
| ~ red(X2,n1)
| ~ red(X0,n1)
| ~ red(X1,n1)
| ~ red(X2,n8)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u33,axiom,
( ~ less_than(X1,X2)
| ~ less_than(X0,X1)
| less_than(X0,X2) ) ).
cnf(u36,negated_conjecture,
( ~ green(X0,X1)
| ~ red(X0,X1) ) ).
cnf(u229,axiom,
( ~ less_than(X0,n7)
| less_than(X0,n9) ) ).
cnf(u2443,negated_conjecture,
( ~ red(n2,X1)
| ~ red(X1,n5)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X0,n5)
| ~ red(n2,X0) ) ).
cnf(u27,axiom,
less_than(n3,n4) ).
cnf(u923,axiom,
less_than(n5,n11) ).
cnf(u2635,negated_conjecture,
( ~ red(n1,X1)
| ~ red(X1,n7)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X0,n7)
| ~ red(n1,X0) ) ).
cnf(u571,axiom,
less_than(n3,n10) ).
cnf(u895,negated_conjecture,
( ~ red(X3,n10)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n3)
| ~ red(X2,n3)
| ~ red(X1,n3)
| ~ red(X3,n3)
| ~ red(X0,n10)
| ~ red(X2,n10)
| ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u2401,negated_conjecture,
( ~ red(n1,X1)
| ~ red(X1,n2)
| ~ red(X0,n5)
| ~ red(X1,n5)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X0,n2)
| ~ red(n1,X0) ) ).
cnf(u969,negated_conjecture,
( ~ red(X2,n10)
| ~ red(X2,n6)
| ~ red(X0,n6)
| ~ red(X1,n6)
| ~ red(X2,n9)
| ~ red(X0,n9)
| ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n10)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u23,axiom,
less_than(n7,n8) ).
cnf(u374,axiom,
( ~ less_than(X0,n8)
| less_than(X0,n10) ) ).
cnf(u372,axiom,
less_than(n8,n10) ).
cnf(u912,axiom,
( ~ less_than(X0,n5)
| less_than(X0,n9) ) ).
cnf(u1695,negated_conjecture,
( ~ red(X2,n8)
| ~ red(X2,n1)
| ~ red(X0,n1)
| ~ red(X1,n1)
| ~ red(X2,n2)
| ~ red(X0,n2)
| ~ red(X1,n2)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u175,axiom,
( ~ less_than(X0,n9)
| less_than(X0,n11) ) ).
cnf(u1542,negated_conjecture,
( ~ red(X2,n10)
| ~ red(X2,n3)
| ~ red(X0,n3)
| ~ red(X1,n3)
| ~ red(X2,n4)
| ~ red(X0,n4)
| ~ red(X1,n4)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n10)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u998,axiom,
less_than(n2,n7) ).
cnf(u161,axiom,
less_than(n1,n3) ).
cnf(u954,negated_conjecture,
( ~ red(X2,n11)
| ~ red(X2,n5)
| ~ red(X0,n5)
| ~ red(X1,n5)
| ~ red(X2,n9)
| ~ red(X0,n9)
| ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u1640,negated_conjecture,
( ~ green(X3,n11)
| ~ green(X2,X1)
| ~ green(X0,X3)
| ~ green(X2,X3)
| ~ green(X1,X3)
| ~ green(X0,n3)
| ~ green(X2,n3)
| ~ green(X1,n3)
| ~ green(X3,n3)
| ~ green(X0,n11)
| ~ green(X2,n11)
| ~ green(X1,n11)
| ~ green(X0,X1)
| ~ green(X0,X2) ) ).
cnf(u2467,negated_conjecture,
( ~ red(n1,X0)
| ~ red(X0,n2)
| ~ red(X0,n11)
| ~ red(X0,n5)
| ~ red(X0,n7) ) ).
cnf(u318,axiom,
less_than(n1,n4) ).
cnf(u2146,negated_conjecture,
( ~ red(n1,X1)
| ~ red(X1,n2)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X0,n2)
| ~ red(n1,X0) ) ).
cnf(u398,axiom,
( ~ less_than(X0,n7)
| less_than(X0,n11) ) ).
cnf(u1611,negated_conjecture,
( ~ green(X3,n10)
| ~ green(X2,X1)
| ~ green(X0,X3)
| ~ green(X2,X3)
| ~ green(X1,X3)
| ~ green(X0,n1)
| ~ green(X2,n1)
| ~ green(X1,n1)
| ~ green(X3,n1)
| ~ green(X0,n10)
| ~ green(X2,n10)
| ~ green(X1,n10)
| ~ green(X0,X1)
| ~ green(X0,X2) ) ).
cnf(u2777,negated_conjecture,
( ~ red(n3,X1)
| ~ red(X1,n4)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X0,n4)
| ~ red(n3,X0) ) ).
cnf(u265,negated_conjecture,
( ~ red(X3,n5)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n3)
| ~ red(X2,n3)
| ~ red(X1,n3)
| ~ red(X3,n3)
| ~ red(X0,n5)
| ~ red(X2,n5)
| ~ red(X1,n5)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u488,negated_conjecture,
( ~ red(X2,n7)
| ~ red(X2,n3)
| ~ red(X0,n3)
| ~ red(X1,n3)
| ~ red(X2,n5)
| ~ red(X0,n5)
| ~ red(X1,n5)
| ~ red(X0,X1)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u1599,negated_conjecture,
( ~ red(X2,n10)
| ~ red(X2,n2)
| ~ red(X0,n2)
| ~ red(X1,n2)
| ~ red(X2,n6)
| ~ red(X0,n6)
| ~ red(X1,n6)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n10)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u1041,negated_conjecture,
( ~ red(X3,n10)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n4)
| ~ red(X2,n4)
| ~ red(X1,n4)
| ~ red(X3,n4)
| ~ red(X0,n10)
| ~ red(X2,n10)
| ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u897,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n11) ) ).
cnf(u1028,axiom,
less_than(n4,n11) ).
cnf(u774,negated_conjecture,
( ~ red(X3,n7)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n4)
| ~ red(X2,n4)
| ~ red(X1,n4)
| ~ red(X3,n4)
| ~ red(X0,n7)
| ~ red(X2,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u2634,negated_conjecture,
( ~ red(n2,X1)
| ~ red(X1,n7)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X0,n7)
| ~ red(n2,X0) ) ).
cnf(u793,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n9) ) ).
cnf(u821,axiom,
less_than(n1,n9) ).
cnf(u1183,negated_conjecture,
( ~ red(X2,n11)
| ~ red(X2,n2)
| ~ red(X0,n2)
| ~ red(X1,n2)
| ~ red(X2,n5)
| ~ red(X0,n5)
| ~ red(X1,n5)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u373,axiom,
less_than(n8,n11) ).
cnf(u1606,negated_conjecture,
( ~ green(X2,n6)
| ~ green(X2,n4)
| ~ green(X0,n4)
| ~ green(X1,n4)
| ~ green(X2,n5)
| ~ green(X0,n5)
| ~ green(X1,n5)
| ~ green(X0,X1)
| ~ green(X0,n6)
| ~ green(X1,n6)
| ~ green(X2,X1)
| ~ green(X2,X0) ) ).
cnf(u845,axiom,
less_than(n1,n11) ).
cnf(u789,negated_conjecture,
( ~ red(X3,n8)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n4)
| ~ red(X2,n4)
| ~ red(X1,n4)
| ~ red(X3,n4)
| ~ red(X0,n8)
| ~ red(X2,n8)
| ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u834,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n9) ) ).
cnf(u968,negated_conjecture,
( ~ red(X3,n10)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n6)
| ~ red(X2,n6)
| ~ red(X1,n6)
| ~ red(X3,n6)
| ~ red(X0,n10)
| ~ red(X2,n10)
| ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u1128,negated_conjecture,
( ~ red(X2,n11)
| ~ red(X2,n7)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X2,n8)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u940,negated_conjecture,
( ~ red(X2,n10)
| ~ red(X2,n5)
| ~ red(X0,n5)
| ~ red(X1,n5)
| ~ red(X2,n9)
| ~ red(X0,n9)
| ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n10)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u199,negated_conjecture,
( ~ red(X3,n7)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n5)
| ~ red(X2,n5)
| ~ red(X1,n5)
| ~ red(X3,n5)
| ~ red(X0,n7)
| ~ red(X2,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u2633,negated_conjecture,
( ~ red(n4,X1)
| ~ red(X1,n7)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X0,n7)
| ~ red(n4,X0) ) ).
cnf(u941,axiom,
( ~ less_than(X0,n5)
| less_than(X0,n11) ) ).
cnf(u1075,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n9) ) ).
cnf(u155,negated_conjecture,
( ~ red(X3,n8)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n7)
| ~ red(X2,n7)
| ~ red(X1,n7)
| ~ red(X3,n7)
| ~ red(X0,n8)
| ~ red(X2,n8)
| ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u2190,negated_conjecture,
( ~ red(n1,X1)
| ~ red(X1,n2)
| ~ red(X0,n6)
| ~ red(X1,n6)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X0,n2)
| ~ red(n1,X0) ) ).
cnf(u158,negated_conjecture,
( ~ red(X3,n4)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n3)
| ~ red(X2,n3)
| ~ red(X1,n3)
| ~ red(X3,n3)
| ~ red(X0,n4)
| ~ red(X2,n4)
| ~ red(X1,n4)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u1362,negated_conjecture,
( ~ red(X2,n6)
| ~ red(X2,n1)
| ~ red(X0,n1)
| ~ red(X1,n1)
| ~ red(X2,n3)
| ~ red(X0,n3)
| ~ red(X1,n3)
| ~ red(X0,X1)
| ~ red(X0,n6)
| ~ red(X1,n6)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u144,axiom,
( ~ less_than(X0,n6)
| less_than(X0,n7) ) ).
cnf(u1087,negated_conjecture,
( ~ red(X3,n9)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n2)
| ~ red(X2,n2)
| ~ red(X1,n2)
| ~ red(X3,n2)
| ~ red(X0,n9)
| ~ red(X2,n9)
| ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u1074,axiom,
less_than(n2,n10) ).
cnf(u2171,negated_conjecture,
( ~ red(n1,X1)
| ~ red(X1,n2)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X0,n2)
| ~ red(n1,X0) ) ).
cnf(u140,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n3) ) ).
cnf(u2013,negated_conjecture,
( ~ green(X3,n9)
| ~ green(X2,X1)
| ~ green(X0,X3)
| ~ green(X2,X3)
| ~ green(X1,X3)
| ~ green(X0,n8)
| ~ green(X2,n8)
| ~ green(X1,n8)
| ~ green(X3,n8)
| ~ green(X0,n9)
| ~ green(X2,n9)
| ~ green(X1,n9)
| ~ green(X0,X1)
| ~ green(X0,X2) ) ).
cnf(u684,negated_conjecture,
( ~ red(X2,n8)
| ~ red(X2,n3)
| ~ red(X0,n3)
| ~ red(X1,n3)
| ~ red(X2,n7)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u807,axiom,
( ~ less_than(X0,n8)
| less_than(X0,n11) ) ).
cnf(u294,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n7) ) ).
cnf(u955,axiom,
less_than(n6,n11) ).
cnf(u432,axiom,
less_than(n1,n8) ).
cnf(u776,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n8) ) ).
cnf(u665,negated_conjecture,
( ~ green(X3,n9)
| ~ green(X2,X1)
| ~ green(X0,X3)
| ~ green(X2,X3)
| ~ green(X1,X3)
| ~ green(X0,n7)
| ~ green(X2,n7)
| ~ green(X1,n7)
| ~ green(X3,n7)
| ~ green(X0,n9)
| ~ green(X2,n9)
| ~ green(X1,n9)
| ~ green(X0,X1)
| ~ green(X0,X2) ) ).
cnf(u2723,negated_conjecture,
( ~ red(n2,X1)
| ~ red(X1,n5)
| ~ red(X0,n9)
| ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n10)
| ~ red(X0,n5)
| ~ red(n2,X0) ) ).
cnf(u997,negated_conjecture,
( ~ red(X3,n5)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n2)
| ~ red(X2,n2)
| ~ red(X1,n2)
| ~ red(X3,n2)
| ~ red(X0,n5)
| ~ red(X2,n5)
| ~ red(X1,n5)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u35,negated_conjecture,
~ goal ).
cnf(u1354,negated_conjecture,
( ~ red(X2,n10)
| ~ red(X2,n3)
| ~ red(X0,n3)
| ~ red(X1,n3)
| ~ red(X2,n7)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n10)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u38,negated_conjecture,
( ~ red(X4,X5)
| ~ red(X0,X2)
| ~ red(X1,X2)
| ~ red(X0,X3)
| ~ red(X1,X3)
| ~ red(X2,X3)
| ~ red(X0,X4)
| ~ red(X1,X4)
| ~ red(X2,X4)
| ~ red(X3,X4)
| ~ red(X0,X5)
| ~ red(X1,X5)
| ~ red(X2,X5)
| ~ red(X3,X5)
| ~ red(X0,X1) ) ).
cnf(u953,negated_conjecture,
( ~ red(X3,n11)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n5)
| ~ red(X2,n5)
| ~ red(X1,n5)
| ~ red(X3,n5)
| ~ red(X0,n11)
| ~ red(X2,n11)
| ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u37,negated_conjecture,
( ~ green(X4,X5)
| ~ green(X0,X2)
| ~ green(X1,X2)
| ~ green(X0,X3)
| ~ green(X1,X3)
| ~ green(X2,X3)
| ~ green(X0,X4)
| ~ green(X1,X4)
| ~ green(X2,X4)
| ~ green(X3,X4)
| ~ green(X0,X5)
| ~ green(X1,X5)
| ~ green(X2,X5)
| ~ green(X3,X5)
| ~ green(X0,X1) ) ).
cnf(u345,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n5) ) ).
cnf(u24,axiom,
less_than(n6,n7) ).
cnf(u317,negated_conjecture,
( ~ red(X3,n6)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n3)
| ~ red(X2,n3)
| ~ red(X1,n3)
| ~ red(X3,n3)
| ~ red(X0,n6)
| ~ red(X2,n6)
| ~ red(X1,n6)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u159,negated_conjecture,
( ~ red(X3,n2)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n1)
| ~ red(X2,n1)
| ~ red(X1,n1)
| ~ red(X3,n1)
| ~ red(X0,n2)
| ~ red(X2,n2)
| ~ red(X1,n2)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u1711,negated_conjecture,
( ~ red(n1,X1)
| ~ red(X1,n3)
| ~ red(X0,n5)
| ~ red(X1,n5)
| ~ red(X0,X1)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,n3)
| ~ red(n1,X0) ) ).
cnf(u1101,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n11) ) ).
cnf(u370,axiom,
less_than(n6,n10) ).
cnf(u1073,negated_conjecture,
( ~ red(X2,n8)
| ~ red(X2,n2)
| ~ red(X0,n2)
| ~ red(X1,n2)
| ~ red(X2,n7)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n8)
| ~ red(X1,n8)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u2325,negated_conjecture,
( ~ red(n1,X1)
| ~ red(X1,n2)
| ~ red(X0,n6)
| ~ red(X1,n6)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X0,n2)
| ~ red(n1,X0) ) ).
cnf(u2707,negated_conjecture,
( ~ green(X3,n8)
| ~ green(X2,X1)
| ~ green(X0,X3)
| ~ green(X2,X3)
| ~ green(X1,X3)
| ~ green(X0,n5)
| ~ green(X2,n5)
| ~ green(X1,n5)
| ~ green(X3,n5)
| ~ green(X0,n8)
| ~ green(X2,n8)
| ~ green(X1,n8)
| ~ green(X0,X1)
| ~ green(X0,X2) ) ).
cnf(u293,axiom,
less_than(n3,n8) ).
cnf(u1056,negated_conjecture,
( ~ red(X2,n11)
| ~ red(X2,n4)
| ~ red(X0,n4)
| ~ red(X1,n4)
| ~ red(X2,n9)
| ~ red(X0,n9)
| ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u1355,negated_conjecture,
( ~ red(X2,n10)
| ~ red(X2,n2)
| ~ red(X0,n2)
| ~ red(X1,n2)
| ~ red(X2,n7)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n10)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u1208,negated_conjecture,
( ~ red(X2,n11)
| ~ red(X2,n2)
| ~ red(X0,n2)
| ~ red(X1,n2)
| ~ red(X2,n6)
| ~ red(X0,n6)
| ~ red(X1,n6)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u999,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n6) ) ).
cnf(u252,negated_conjecture,
( ~ red(X3,n9)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n6)
| ~ red(X2,n6)
| ~ red(X1,n6)
| ~ red(X3,n6)
| ~ red(X0,n9)
| ~ red(X2,n9)
| ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u1027,negated_conjecture,
( ~ red(X2,n7)
| ~ red(X2,n2)
| ~ red(X0,n2)
| ~ red(X1,n2)
| ~ red(X2,n5)
| ~ red(X0,n5)
| ~ red(X1,n5)
| ~ red(X0,X1)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u792,axiom,
less_than(n4,n10) ).
cnf(u1029,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n10) ) ).
cnf(u882,axiom,
less_than(n3,n11) ).
cnf(u1353,negated_conjecture,
( ~ red(X2,n10)
| ~ red(X2,n4)
| ~ red(X0,n4)
| ~ red(X1,n4)
| ~ red(X2,n7)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n10)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u775,axiom,
less_than(n4,n9) ).
cnf(u1026,negated_conjecture,
( ~ red(X3,n7)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n2)
| ~ red(X2,n2)
| ~ red(X1,n2)
| ~ red(X3,n2)
| ~ red(X0,n7)
| ~ red(X2,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u187,axiom,
less_than(n5,n7) ).
cnf(u603,negated_conjecture,
( ~ red(X2,n5)
| ~ red(X2,n1)
| ~ red(X0,n1)
| ~ red(X1,n1)
| ~ red(X2,n3)
| ~ red(X0,n3)
| ~ red(X1,n3)
| ~ red(X0,X1)
| ~ red(X0,n5)
| ~ red(X1,n5)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u433,axiom,
( ~ less_than(X0,n1)
| less_than(X0,n7) ) ).
cnf(u214,axiom,
( ~ less_than(X0,n5)
| less_than(X0,n8) ) ).
cnf(u20,axiom,
less_than(n10,n11) ).
cnf(u213,negated_conjecture,
( ~ red(X3,n8)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n6)
| ~ red(X2,n6)
| ~ red(X1,n6)
| ~ red(X3,n6)
| ~ red(X0,n8)
| ~ red(X2,n8)
| ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u2596,negated_conjecture,
( ~ red(n2,X1)
| ~ red(X1,n5)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n10)
| ~ red(X0,n5)
| ~ red(n2,X0) ) ).
cnf(u200,axiom,
less_than(n5,n8) ).
cnf(u2557,negated_conjecture,
( ~ red(n3,X1)
| ~ red(X1,n4)
| ~ red(X0,n7)
| ~ red(X1,n7)
| ~ red(X0,X1)
| ~ red(X0,n10)
| ~ red(X1,n10)
| ~ red(X0,n4)
| ~ red(n3,X0) ) ).
cnf(u879,negated_conjecture,
( ~ red(X3,n8)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n1)
| ~ red(X2,n1)
| ~ red(X1,n1)
| ~ red(X3,n1)
| ~ red(X0,n8)
| ~ red(X2,n8)
| ~ red(X1,n8)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u321,axiom,
( ~ less_than(X0,n2)
| less_than(X0,n4) ) ).
cnf(u142,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n5) ) ).
cnf(u1628,negated_conjecture,
( ~ red(X2,n11)
| ~ red(X2,n1)
| ~ red(X0,n1)
| ~ red(X1,n1)
| ~ red(X2,n5)
| ~ red(X0,n5)
| ~ red(X1,n5)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X2,X1)
| ~ red(X2,X0) ) ).
cnf(u1116,negated_conjecture,
( ~ red(X3,n10)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n2)
| ~ red(X2,n2)
| ~ red(X1,n2)
| ~ red(X3,n2)
| ~ red(X0,n10)
| ~ red(X2,n10)
| ~ red(X1,n10)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u146,axiom,
( ~ less_than(X0,n8)
| less_than(X0,n9) ) ).
cnf(u982,negated_conjecture,
( ~ red(X3,n11)
| ~ red(X2,X1)
| ~ red(X0,X3)
| ~ red(X2,X3)
| ~ red(X1,X3)
| ~ red(X0,n6)
| ~ red(X2,n6)
| ~ red(X1,n6)
| ~ red(X3,n6)
| ~ red(X0,n11)
| ~ red(X2,n11)
| ~ red(X1,n11)
| ~ red(X0,X1)
| ~ red(X0,X2) ) ).
cnf(u306,axiom,
( ~ less_than(X0,n3)
| less_than(X0,n8) ) ).
cnf(u145,axiom,
( ~ less_than(X0,n7)
| less_than(X0,n8) ) ).
cnf(u148,axiom,
( ~ less_than(X0,n10)
| less_than(X0,n11) ) ).
cnf(u267,axiom,
less_than(n4,n6) ).
cnf(u1923,negated_conjecture,
( ~ red(n2,X1)
| ~ red(X1,n6)
| ~ red(X0,n9)
| ~ red(X1,n9)
| ~ red(X0,X1)
| ~ red(X0,n11)
| ~ red(X1,n11)
| ~ red(X0,n6)
| ~ red(n2,X0) ) ).
cnf(u269,axiom,
( ~ less_than(X0,n4)
| less_than(X0,n6) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRA024+1 : TPTP v9.3.1. Released v3.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n006.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 08:49:55 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 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
% 7.31/2.00 % (2694189)Detected formulas, will run a generic FOF schedule.
% 7.31/2.00 % (2694194)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=1094483360:i=141193_2999 on theBenchmark for (2999ds/141193Mi)
% 7.31/2.00 % (2694197)lrs+1010_1_to=lpo:sil=32000:sos=on:spb=goal_then_units:bce=on:random_seed=3251297535:i=109:sd=1:ins=1:gsp=on:ss=axioms_2999 on theBenchmark for (2999ds/109Mi)
% 7.31/2.00 % (2694198)dis-1010_2:3_sil=16000:sp=reverse_frequency:random_seed=2758259397:i=119:av=off:ss=axioms_2999 on theBenchmark for (2999ds/119Mi)
% 7.31/2.00 % (2694196)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=3117986430:i=141695:sd=1:nm=32:gsp=on:ss=included_2999 on theBenchmark for (2999ds/141695Mi)
% 7.31/2.00 % (2694195)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=144809897:i=134677:sd=20:aac=none:nm=16:ss=included:sgt=10_2999 on theBenchmark for (2999ds/134677Mi)
% 7.31/2.00 % (2694200)dis-21_1_sil=8000:lcm=predicate:random_seed=809873204: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)
% 7.31/2.00 % (2694198)Refutation not found, incomplete strategy
% 7.31/2.00 % (2694198)------------------------------
% 7.31/2.00 % (2694198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.31/2.00 % (2694198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.31/2.00 % (2694197)Refutation not found, incomplete strategy
% 7.31/2.00 % (2694197)------------------------------
% 7.31/2.00 % (2694197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.31/2.00 % (2694198)CaDiCaL version: 2.1.3
% 7.31/2.00 % (2694198)Termination reason: Refutation not found, incomplete strategy
% 7.31/2.00 % (2694198)Time elapsed: 0.0000 s
% 7.31/2.00 % (2694198)Peak memory usage: 86 MB
% 7.31/2.00 % (2694197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.31/2.00 % (2694197)CaDiCaL version: 2.1.3
% 7.31/2.00 % (2694197)Termination reason: Refutation not found, incomplete strategy
% 7.31/2.00 % (2694197)Time elapsed: 0.0000 s
% 7.31/2.00 % (2694197)Peak memory usage: 86 MB
% 7.31/2.00 % (2694199)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2488193840:s2a=on:i=139:gtg=position_2999 on theBenchmark for (2999ds/139Mi)
% 7.31/2.00 % (2694200)Instruction limit reached!
% 7.31/2.00 % (2694200)------------------------------
% 7.31/2.00 % (2694200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.31/2.00 % (2694200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.31/2.00 % (2694200)CaDiCaL version: 2.1.3
% 7.31/2.00 % (2694200)Termination reason: Instruction limit
% 7.31/2.00 % (2694200)Termination phase: Saturation
% 7.31/2.00 % (2694200)Time elapsed: 0.050 s
% 7.31/2.00 % (2694200)Peak memory usage: 88 MB
% 7.31/2.00 % (2694200)Instructions burned: 132 (million)
% 7.31/2.00 % (2694199)Instruction limit reached!
% 7.31/2.00 % (2694199)------------------------------
% 7.31/2.00 % (2694199)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.31/2.00 % (2694199)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.31/2.00 % (2694199)CaDiCaL version: 2.1.3
% 7.31/2.00 % (2694199)Termination reason: Instruction limit
% 7.31/2.00 % (2694199)Termination phase: Saturation
% 7.31/2.00 % (2694199)Time elapsed: 0.064 s
% 7.31/2.00 % (2694199)Peak memory usage: 88 MB
% 7.31/2.00 % (2694199)Instructions burned: 139 (million)
% 7.31/2.00 % (2694208)lrs+10_1_sil=8000:sp=occurrence:random_seed=2870553606:i=285:sd=3:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/285Mi)
% 7.31/2.00 % (2694198)------------------------------
% 7.31/2.00 % (2694198)------------------------------
% 7.31/2.00 % (2694197)------------------------------
% 7.31/2.00 % (2694197)------------------------------
% 7.31/2.00 % (2694209)lrs+10_1_sil=32000:urr=on:br=off:random_seed=583081452:i=157:sd=1:gtg=position:ss=axioms:sgt=8_2997 on theBenchmark for (2997ds/157Mi)
% 7.31/2.00 % (2694209)Refutation not found, incomplete strategy
% 7.31/2.00 % (2694209)------------------------------
% 7.31/2.00 % (2694209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.31/2.00 % (2694209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.31/2.00 % (2694209)CaDiCaL version: 2.1.3
% 7.31/2.00 % (2694209)Termination reason: Refutation not found, incomplete strategy
% 7.31/2.00 % (2694209)Time elapsed: 0.001 s
% 7.31/2.00 % (2694209)Peak memory usage: 87 MB
% 7.31/2.00 % (2694208)Instruction limit reached!
% 7.31/2.00 % (2694208)------------------------------
% 7.31/2.00 % (2694208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.31/2.00 % (2694208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.31/2.00 % (2694208)CaDiCaL version: 2.1.3
% 7.31/2.00 % (2694208)Termination reason: Instruction limit
% 7.31/2.00 % (2694208)Termination phase: Saturation
% 7.31/2.00 % (2694208)Time elapsed: 0.120 s
% 7.31/2.00 % (2694208)Peak memory usage: 89 MB
% 7.31/2.00 % (2694208)Instructions burned: 286 (million)
% 7.31/2.00 % (2694212)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=309469100:s2a=on:i=248:s2at=1.23:gtg=position_2995 on theBenchmark for (2995ds/248Mi)
% 7.31/2.00 % (2694212)Refutation not found, incomplete strategy
% 7.31/2.00 % (2694212)------------------------------
% 7.31/2.00 % (2694212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.31/2.00 % (2694212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.31/2.00 % (2694212)CaDiCaL version: 2.1.3
% 7.31/2.00 % (2694212)Termination reason: Refutation not found, incomplete strategy
% 7.31/2.00 % (2694212)Time elapsed: 0.002 s
% 7.31/2.00 % (2694212)Peak memory usage: 88 MB
% 7.31/2.00 % (2694212)Instructions burned: 5 (million)
% 7.31/2.00 % (2694211)lrs+1011_1_sil=32000:sp=occurrence:random_seed=1302023132:i=325:sd=1:ss=axioms:sgt=32_2995 on theBenchmark for (2995ds/325Mi)
% 7.31/2.00 % (2694211)Refutation not found, incomplete strategy
% 7.31/2.00 % (2694211)------------------------------
% 7.31/2.00 % (2694211)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.31/2.00 % (2694211)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.31/2.00 % (2694211)CaDiCaL version: 2.1.3
% 7.31/2.00 % (2694211)Termination reason: Refutation not found, incomplete strategy
% 7.31/2.00 % (2694211)Time elapsed: 0.001 s
% 7.31/2.00 % (2694211)Peak memory usage: 87 MB
% 7.31/2.00 % (2694209)------------------------------
% 7.31/2.00 % (2694209)------------------------------
% 7.31/2.00 % (2694214)lrs+1002_1_to=lpo:sil=8000:sos=on:random_seed=1980155470:st=4:cts=off:i=294:sd=2:ins=7:amm=off:ss=axioms_2994 on theBenchmark for (2994ds/294Mi)
% 7.31/2.00 % (2694214)Refutation not found, incomplete strategy
% 7.31/2.00 % (2694214)------------------------------
% 7.31/2.00 % (2694214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.31/2.00 % (2694214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.31/2.00 % (2694214)CaDiCaL version: 2.1.3
% 7.31/2.00 % (2694214)Termination reason: Refutation not found, incomplete strategy
% 7.31/2.00 % (2694214)Time elapsed: 0.001 s
% 7.31/2.00 % (2694214)Peak memory usage: 86 MB
% 7.31/2.00 % (2694212)------------------------------
% 7.31/2.00 % (2694212)------------------------------
% 7.31/2.00 % (2694211)------------------------------
% 7.31/2.00 % (2694211)------------------------------
% 7.31/2.00 % (2694219)dis-1011_32:1_sfv=off:sil=16000:sos=all:erd=off:acc=on:fd=off:flr=on:random_seed=273443569:cts=off:i=113:fsr=off:ss=included:sgt=4_2993 on theBenchmark for (2993ds/113Mi)
% 7.31/2.00 % (2694218)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=32000:tgt=ground:npcc=on:random_seed=2387586740:i=2350_2993 on theBenchmark for (2993ds/2350Mi)
% 7.31/2.00 % (2694219)Instruction limit reached!
% 7.31/2.00 % (2694219)------------------------------
% 7.31/2.00 % (2694219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.31/2.00 % (2694219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.31/2.00 % (2694219)CaDiCaL version: 2.1.3
% 7.31/2.00 % (2694219)Termination reason: Instruction limit
% 7.31/2.00 % (2694219)Termination phase: Saturation
% 7.31/2.00 % (2694219)Time elapsed: 0.029 s
% 7.31/2.00 % (2694219)Peak memory usage: 88 MB
% 7.31/2.00 % (2694219)Instructions burned: 115 (million)
% 7.31/2.00 % (2694194)First to succeed.
% 7.31/2.00 % (2694194)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2694189"
% 7.31/2.00 % (2694214)------------------------------
% 7.31/2.00 % (2694214)------------------------------
% 7.31/2.00 % (2694222)lrs-1004_1_sil=8000:sp=occurrence:sos=all:erd=off:fs=off:bce=on:random_seed=1752046807:i=127:av=off:fsr=off:sup=off_2991 on theBenchmark for (2991ds/127Mi)
% 7.31/2.00 % (2694223)dis-1003_1024_sil=8000:sos=all:sac=on:random_seed=398841489:cond=fast:i=114:sd=1:nm=0:fsr=off:gtg=exists_sym:ss=axioms_2991 on theBenchmark for (2991ds/114Mi)
% 7.31/2.00 % (2694223)Instruction limit reached!
% 7.31/2.00 % (2694223)------------------------------
% 7.31/2.00 % (2694223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.31/2.00 % (2694223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.31/2.00 % (2694223)CaDiCaL version: 2.1.3
% 7.31/2.00 % (2694223)Termination reason: Instruction limit
% 7.31/2.00 % (2694223)Termination phase: Saturation
% 7.31/2.00 % (2694223)Time elapsed: 0.031 s
% 7.31/2.00 % (2694223)Peak memory usage: 89 MB
% 7.31/2.00 % (2694223)Instructions burned: 117 (million)
% 7.31/2.00 % (2694222)Instruction limit reached!
% 7.31/2.00 % (2694222)------------------------------
% 7.31/2.00 % (2694222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 7.31/2.00 % (2694222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 7.31/2.00 % (2694222)CaDiCaL version: 2.1.3
% 7.31/2.00 % (2694222)Termination reason: Instruction limit
% 7.31/2.00 % (2694222)Termination phase: Saturation
% 7.31/2.00 % (2694222)Time elapsed: 0.062 s
% 7.31/2.00 % (2694222)Peak memory usage: 89 MB
% 7.31/2.00 % (2694222)Instructions burned: 127 (million)
% 7.31/2.00 % (2694195)Also succeeded, but the first one will report.
% 7.31/2.00 % (2694224)lrs+10_1_sil=8000:sp=occurrence:random_seed=3537803996:st=1.2:i=907:sd=14:ss=axioms:sgt=12_2990 on theBenchmark for (2990ds/907Mi)
% 7.31/2.00 % SZS status CounterSatisfiable for theBenchmark
% 7.31/2.00 % SZS output start Saturation.
% See solution above
% 8.65/2.19 % SZS output start Definitions and Model Updates.
% 8.65/2.19 % SZS output end Definitions and Model Updates.
% 8.65/2.19 % (2694194)------------------------------
% 8.65/2.19 % (2694194)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.65/2.19 % (2694194)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.65/2.19 % (2694194)CaDiCaL version: 2.1.3
% 8.65/2.19 % (2694194)Termination reason: Satisfiable
% 8.65/2.19 % (2694194)Time elapsed: 0.742 s
% 8.65/2.19 % (2694194)Peak memory usage: 131 MB
% 8.65/2.19 % (2694194)Instructions burned: 1558 (million)
% 8.65/2.19 % (2694194)------------------------------
% 8.65/2.19 % (2694194)------------------------------
% 8.65/2.19 % (2694189)Success in time 1.146 s
% 8.65/2.19 % Vampire exiting
%------------------------------------------------------------------------------