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Vampire-SAT---5.0.1.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : Vampire-SAT---5.0.1
% Problem  : SYN720-1 : TPTP v9.3.1. Released v2.5.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT

% Computer : n026.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 02:17:58 PM UTC 2026

% Result   : Satisfiable 0.20s 0.28s
% Output   : Saturation 0.20s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(u376,axiom,
    k1(b) ).

cnf(u381,axiom,
    m2(b) ).

cnf(u421,axiom,
    s1(X0) ).

cnf(u430,axiom,
    l3(X0,X0) ).

cnf(u436,axiom,
    n5(X0,X0) ).

cnf(u442,axiom,
    l1(X0,X0) ).

cnf(u454,axiom,
    ~ l0(b) ).

cnf(u464,axiom,
    m1(X0,X0,X0) ).

cnf(u475,axiom,
    n1(X0,X0,X0) ).

cnf(u485,axiom,
    p1(X0,X0,X0) ).

cnf(u499,axiom,
    n2(X0) ).

cnf(u531,axiom,
    n3(X0) ).

cnf(u543,axiom,
    p2(X0,X0,X0) ).

cnf(u562,axiom,
    r3(X0,X0,X0) ).

cnf(u570,axiom,
    l4(X0) ).

cnf(u584,axiom,
    k3(X0,X0,X0) ).

cnf(u636,axiom,
    p1(X0,X0,X1) ).

cnf(u650,axiom,
    q1(X0,X1,X1) ).

cnf(u660,axiom,
    ( ~ s0(X0)
    | m2(X0) ) ).

cnf(u685,axiom,
    k3(X0,X0,X1) ).

cnf(u698,axiom,
    k2(X0,X0) ).

cnf(u739,axiom,
    k2(c,b) ).

cnf(u744,axiom,
    p3(b,c,b) ).

cnf(u752,axiom,
    l5(X0) ).

cnf(u755,axiom,
    ( l5(X0)
    | ~ k1(X0) ) ).

cnf(u759,axiom,
    m1(X0,X1,X0) ).

cnf(u774,axiom,
    n1(X0,X0,X1) ).

cnf(u789,axiom,
    n1(X0,c,X0) ).

cnf(u805,axiom,
    ~ m0(b,c,e) ).

cnf(u814,axiom,
    q1(X0,b,b) ).

cnf(u838,axiom,
    p1(d,b,e) ).

cnf(u843,axiom,
    p2(d,b,b) ).

cnf(u867,axiom,
    s2(X0) ).

cnf(u881,axiom,
    k3(X0,X1,X0) ).

cnf(u942,axiom,
    p2(X0,X1,X0) ).

cnf(u972,axiom,
    r3(X0,X1,X0) ).

cnf(u985,axiom,
    k5(X0) ).

cnf(u988,axiom,
    ( k5(X0)
    | ~ r3(X2,X0,X0) ) ).

cnf(u1041,axiom,
    s1(a) ).

cnf(u1046,axiom,
    s2(d) ).

cnf(u1056,axiom,
    ( ~ q0(X0,X1)
    | s1(X0) ) ).

cnf(u1091,axiom,
    q1(X0,X0,X1) ).

cnf(u1106,axiom,
    l3(X0,X1) ).

cnf(u1116,axiom,
    m4(X0,X1) ).

cnf(u1129,axiom,
    n4(X0,X0) ).

cnf(u1140,axiom,
    p3(X0,X0,X0) ).

cnf(u1177,axiom,
    s4(X0) ).

cnf(u1184,axiom,
    p5(X0,X1,X0) ).

cnf(u1196,axiom,
    ( l1(X0,X0)
    | ~ k1(X0) ) ).

cnf(u1219,axiom,
    m1(X0,X1,X1) ).

cnf(u1222,axiom,
    ( ~ m0(X1,X1,X0)
    | m1(X0,X1,X1) ) ).

cnf(u1227,axiom,
    n1(X0,e,e) ).

cnf(u1262,axiom,
    m1(X0,X0,e) ).

cnf(u1276,axiom,
    n1(X0,X1,X0) ).

cnf(u1284,axiom,
    ~ p0(a,b) ).

cnf(u1287,axiom,
    n1(a,X0,b) ).

cnf(u1294,axiom,
    p1(X0,b,X1) ).

cnf(u1333,axiom,
    q1(X0,X1,X0) ).

cnf(u1344,axiom,
    ~ s0(e) ).

cnf(u1353,axiom,
    p2(e,X0,X1) ).

cnf(u1385,axiom,
    p2(X0,X1,X1) ).

cnf(u1403,axiom,
    q3(X0,X1) ).

cnf(u1427,axiom,
    m3(X0,c,X0) ).

cnf(u1453,axiom,
    n4(X0,X1) ).

cnf(u1467,axiom,
    p4(X0,X0,X1) ).

cnf(u1471,axiom,
    l1(b,c) ).

cnf(u1476,axiom,
    ~ k3(c,e,b) ).

cnf(u1487,axiom,
    s5(X0) ).

cnf(u1491,axiom,
    r4(X0) ).

cnf(u1498,axiom,
    r3(d,b,c) ).

cnf(u1503,axiom,
    n5(b,e) ).

cnf(u1508,axiom,
    n5(d,X0) ).

cnf(u1519,axiom,
    p4(X0,X1,X0) ).

cnf(u1555,axiom,
    r1(X0) ).

cnf(u1568,axiom,
    q1(d,X1,d) ).

cnf(u1608,axiom,
    r2(X0) ).

cnf(u1615,axiom,
    m3(X0,X1,X0) ).

cnf(u1632,axiom,
    p2(X0,X0,d) ).

cnf(u1645,axiom,
    p3(X0,X1,X2) ).

cnf(u1666,axiom,
    p2(a,X0,d) ).

cnf(u1689,axiom,
    l1(X0,X1) ).

cnf(u1692,axiom,
    ( l1(X0,X1)
    | ~ m0(X1,X0,X2)
    | ~ p0(X2,X0) ) ).

cnf(u1740,axiom,
    p1(X0,X1,X0) ).

cnf(u1743,axiom,
    ( p1(X0,X1,X0)
    | ~ p1(X1,X3,X0) ) ).

cnf(u1749,axiom,
    p1(X0,X1,X2) ).

cnf(u1768,axiom,
    ( q1(X0,X1,X1)
    | ~ l0(X0) ) ).

cnf(u1774,axiom,
    k2(X0,X1) ).

cnf(u1831,axiom,
    p5(X0,X0,X1) ).

cnf(u1837,axiom,
    q2(X0,c,X1) ).

cnf(u1878,axiom,
    l2(X0,X1) ).

cnf(u1891,axiom,
    p2(X0,e,X1) ).

cnf(u1954,axiom,
    n1(X0,d,b) ).

cnf(u1989,axiom,
    m3(X0,X1,X1) ).

cnf(u1993,axiom,
    p4(X0,X1,X1) ).

cnf(u2020,axiom,
    m1(X0,X0,c) ).

cnf(u2030,axiom,
    n1(X0,X1,X1) ).

cnf(u2038,axiom,
    ~ q0(e,c) ).

cnf(u2055,axiom,
    r3(X0,X1,X2) ).

cnf(u2069,axiom,
    s3(X0,X1) ).

cnf(u2102,axiom,
    ~ r0(c) ).

cnf(u2105,axiom,
    m1(X0,X1,c) ).

cnf(u2119,axiom,
    m1(X0,a,X1) ).

cnf(u2175,axiom,
    q4(X0,X1) ).

cnf(u2216,axiom,
    q2(X0,X1,X0) ).

cnf(u2265,axiom,
    n5(X0,X1) ).

cnf(rule_059,axiom,
    ( ~ m0(X2,X3,X3)
    | n1(X0,X0,X1)
    | ~ m0(X1,X2,X0) ) ).

cnf(u1505,axiom,
    ( ~ k3(d,X0,a)
    | n5(d,X0) ) ).

cnf(u952,axiom,
    ( p2(X0,X1,X0)
    | ~ r0(X1)
    | ~ l0(X0) ) ).

cnf(u1134,axiom,
    m3(X0,X0,X0) ).

cnf(u1005,axiom,
    ( ~ q2(b,X0,b)
    | s2(X0) ) ).

cnf(u1827,axiom,
    ( q2(X0,c,X1)
    | ~ k1(X1)
    | ~ l2(X1,X0) ) ).

cnf(u695,axiom,
    k2(e,e) ).

cnf(u444,axiom,
    l1(b,b) ).

cnf(u1107,axiom,
    ( r3(X0,X1,X1)
    | ~ l2(c,X0) ) ).

cnf(rule_036,axiom,
    ( ~ m0(b,X1,X0)
    | n1(X0,X0,X1) ) ).

cnf(u1081,axiom,
    ( m1(X0,X0,e)
    | ~ k0(X0) ) ).

cnf(u720,axiom,
    q1(c,c,c) ).

cnf(u1399,axiom,
    ( ~ q2(X0,c,c)
    | m3(X0,c,X0) ) ).

cnf(u449,axiom,
    l1(a,a) ).

cnf(u716,axiom,
    k2(b,b) ).

cnf(u2017,axiom,
    ( ~ p0(X1,X0)
    | ~ n0(X1,X1)
    | m1(X0,X0,c) ) ).

cnf(u1071,axiom,
    ( p2(X1,X0,X1)
    | ~ r0(X0) ) ).

cnf(u1328,axiom,
    r3(d,b,d) ).

cnf(rule_244,axiom,
    ( p3(X0,X0,X0)
    | ~ n2(X0) ) ).

cnf(u1984,axiom,
    p3(X0,X1,X1) ).

cnf(rule_011,axiom,
    ( ~ n0(X1,X1)
    | ~ k0(X0)
    | m1(X0,X0,X1) ) ).

cnf(rule_240,axiom,
    ( ~ p2(X1,X2,X0)
    | n3(X0) ) ).

cnf(u395,axiom,
    k1(a) ).

cnf(rule_005,axiom,
    ( ~ m0(X1,X1,X0)
    | m1(X0,X1,X0) ) ).

cnf(rule_194,axiom,
    ( k3(X0,X0,X1)
    | ~ k2(X1,X0) ) ).

cnf(rule_035,axiom,
    ( m1(X0,X1,X0)
    | ~ r0(X0)
    | ~ l0(X1) ) ).

cnf(u1642,axiom,
    ( ~ k3(X1,X2,X0)
    | p3(X0,X1,X2) ) ).

cnf(rule_007,axiom,
    ( ~ p0(X2,X1)
    | m1(X0,X1,X0)
    | ~ r0(X0) ) ).

cnf(axiom_32,axiom,
    k0(b) ).

cnf(u391,axiom,
    k1(c) ).

cnf(u2096,axiom,
    k4(e) ).

cnf(rule_032,axiom,
    ( m1(X0,X0,X0)
    | ~ s0(X0) ) ).

cnf(rule_001,axiom,
    ( ~ n0(X1,X0)
    | k1(X0) ) ).

cnf(axiom_26,axiom,
    n0(d,c) ).

cnf(axiom_28,axiom,
    k0(e) ).

cnf(axiom_19,axiom,
    m0(X0,d,X1) ).

cnf(axiom_21,axiom,
    q0(b,e) ).

cnf(axiom_8,axiom,
    m0(e,d,e) ).

cnf(axiom_15,axiom,
    n0(a,b) ).

cnf(axiom_2,axiom,
    q0(e,d) ).

cnf(axiom_1,axiom,
    s0(d) ).

cnf(rule_287,axiom,
    ( ~ k3(X0,X0,X1)
    | p4(X0,X1,X0) ) ).

cnf(u1398,axiom,
    m3(X0,e,e) ).

cnf(u1579,axiom,
    q1(X0,e,X0) ).

cnf(u1422,axiom,
    q2(X0,X0,X0) ).

cnf(u1008,axiom,
    ( q1(X0,X0,X0)
    | ~ k1(X0) ) ).

cnf(u1612,axiom,
    ( m3(X0,X1,X0)
    | ~ k2(c,X1) ) ).

cnf(u460,axiom,
    m1(e,e,e) ).

cnf(u763,axiom,
    m1(X0,d,X0) ).

cnf(u1593,axiom,
    ( ~ q0(X0,X1)
    | r1(X0) ) ).

cnf(rule_170,axiom,
    ( ~ n1(X0,e,e)
    | p2(X0,e,X0) ) ).

cnf(rule_057,axiom,
    ( n1(X0,X0,X0)
    | ~ r0(X0) ) ).

cnf(rule_166,axiom,
    ( ~ m1(a,X0,d)
    | ~ n0(X0,d)
    | p2(a,X0,d) ) ).

cnf(u780,axiom,
    n1(X0,X0,d) ).

cnf(rule_129,axiom,
    ( ~ q1(X1,X0,X0)
    | k2(X0,X0) ) ).

cnf(axiom_4,axiom,
    m0(e,d,a) ).

cnf(rule_159,axiom,
    ( p2(X0,X0,X0)
    | ~ k1(X0) ) ).

cnf(rule_116,axiom,
    ( q1(X0,X0,X0)
    | ~ r0(X0) ) ).

cnf(rule_085,axiom,
    ( ~ p0(X1,X0)
    | p1(X0,X0,X0) ) ).

cnf(u1875,axiom,
    ( ~ l2(X1,X1)
    | ~ n0(e,X1)
    | l2(X0,X1) ) ).

cnf(u2048,axiom,
    ( ~ r3(X2,X0,X0)
    | r3(X0,X1,X2) ) ).

cnf(u1972,axiom,
    m2(d) ).

cnf(rule_068,axiom,
    ( p1(X0,X0,X0)
    | ~ k0(X0) ) ).

cnf(u2137,axiom,
    ( ~ q2(X3,X1,X0)
    | q4(X0,X1) ) ).

cnf(rule_067,axiom,
    ( ~ q0(X1,X0)
    | p1(X0,X0,X0) ) ).

cnf(rule_105,axiom,
    ( q1(X0,X0,X1)
    | ~ s0(X0)
    | ~ p0(X1,d) ) ).

cnf(rule_092,axiom,
    ( ~ p0(X3,X0)
    | ~ n0(X2,X1)
    | q1(X0,X1,X0) ) ).

cnf(u581,axiom,
    n2(b) ).

cnf(u1825,axiom,
    ( p5(X0,X0,X1)
    | ~ l2(X0,X0) ) ).

cnf(rule_141,axiom,
    ( ~ q1(X0,a,X0)
    | p2(X0,a,X0) ) ).

cnf(rule_063,axiom,
    ( p1(X0,X0,X1)
    | ~ n0(d,X0)
    | ~ k0(X1) ) ).

cnf(u734,axiom,
    q1(a,a,a) ).

cnf(u2114,axiom,
    p5(X0,X1,X1) ).

cnf(rule_044,axiom,
    ( ~ p0(X1,X2)
    | ~ p0(X0,X0)
    | n1(X0,X1,X0) ) ).

cnf(u1716,axiom,
    ( ~ p0(X1,X1)
    | n1(X0,d,X1)
    | ~ r0(X0) ) ).

cnf(u2116,axiom,
    ( m1(X0,a,X1)
    | ~ q0(X0,X1) ) ).

cnf(rule_002,axiom,
    ( ~ n0(X1,X0)
    | l1(X0,X0) ) ).

cnf(u389,axiom,
    k1(e) ).

cnf(u1350,axiom,
    ( ~ p1(X0,X1,e)
    | p2(e,X0,X1) ) ).

cnf(u2066,axiom,
    ( ~ q2(X2,X0,X2)
    | s3(X0,X1)
    | ~ m0(X2,X3,X1) ) ).

cnf(axiom_34,axiom,
    n0(c,d) ).

cnf(u1270,axiom,
    m1(X0,d,d) ).

cnf(u1580,axiom,
    q1(X0,b,X0) ).

cnf(rule_039,axiom,
    ( ~ m0(X1,X0,c)
    | n1(X0,c,X0) ) ).

cnf(u1272,axiom,
    m1(e,b,b) ).

cnf(u1069,axiom,
    ( m1(X0,X1,X0)
    | ~ r0(X0) ) ).

cnf(u1581,axiom,
    q1(X0,c,X0) ).

cnf(u724,axiom,
    q1(e,e,e) ).

cnf(u715,axiom,
    q1(b,b,b) ).

cnf(u1103,axiom,
    ( l3(X0,X1)
    | ~ r0(X0) ) ).

cnf(u472,axiom,
    n1(c,c,c) ).

cnf(u1016,axiom,
    n2(c) ).

cnf(axiom_36,axiom,
    q0(a,b) ).

cnf(u947,axiom,
    p2(b,e,b) ).

cnf(axiom_30,axiom,
    n0(e,e) ).

cnf(u1335,axiom,
    ( ~ n0(X0,X1)
    | q1(X2,X1,X2) ) ).

cnf(rule_040,axiom,
    ( ~ m0(X0,X1,e)
    | n1(X0,e,e)
    | ~ k1(X0) ) ).

cnf(u443,axiom,
    l1(e,e) ).

cnf(u1629,axiom,
    ( ~ m0(X1,X0,d)
    | p2(X0,X0,d) ) ).

cnf(axiom_33,axiom,
    q0(d,c) ).

cnf(u608,axiom,
    n2(d) ).

cnf(axiom_27,axiom,
    m0(e,b,c) ).

cnf(axiom_29,axiom,
    q0(d,b) ).

cnf(rule_299,axiom,
    ( ~ p3(X1,X2,X3)
    | s4(X0)
    | ~ l1(X0,X2) ) ).

cnf(axiom_16,axiom,
    m0(c,b,a) ).

cnf(axiom_23,axiom,
    m0(a,e,e) ).

cnf(u2213,axiom,
    ( ~ q2(X1,X2,X0)
    | ~ n1(X1,X0,X2)
    | q2(X0,X1,X0) ) ).

cnf(u1484,axiom,
    ( ~ p0(X3,X0)
    | r4(X0) ) ).

cnf(axiom_10,axiom,
    p0(b,d) ).

cnf(rule_279,axiom,
    ( ~ s3(a,X0)
    | ~ l2(X2,X1)
    | m4(X0,X1) ) ).

cnf(axiom_9,axiom,
    r0(b) ).

cnf(rule_137,axiom,
    ( ~ p1(X1,X2,X0)
    | n2(X0) ) ).

cnf(axiom_12,axiom,
    m0(a,X0,a) ).

cnf(axiom_3,axiom,
    n0(d,e) ).

cnf(u1450,axiom,
    ( ~ p3(X0,X1,X1)
    | n4(X0,X1) ) ).

cnf(u1246,axiom,
    ( ~ m1(b,X0,e)
    | n1(e,e,X0) ) ).

cnf(axiom_6,axiom,
    q0(b,b) ).

cnf(axiom_5,axiom,
    s0(b) ).

cnf(rule_082,axiom,
    ( ~ p1(X2,X0,X3)
    | ~ m0(X2,X0,X3)
    | p1(X0,X1,X2) ) ).

cnf(u765,axiom,
    m1(e,b,e) ).

cnf(u1535,axiom,
    ( ~ q0(X0,X0)
    | ~ k1(X1)
    | m1(X0,X1,X1) ) ).

cnf(u1611,axiom,
    m3(X0,X0,X1) ).

cnf(u778,axiom,
    n1(e,e,b) ).

cnf(u1724,axiom,
    ( ~ m0(X1,X2,X0)
    | n1(X0,X0,X1) ) ).

cnf(u1334,axiom,
    ( ~ n0(X0,X1)
    | q1(d,X1,d) ) ).

cnf(u604,axiom,
    p1(d,d,d) ).

cnf(u1990,axiom,
    ( ~ r3(X1,X1,X0)
    | p4(X0,X1,X1) ) ).

cnf(u1605,axiom,
    ( ~ l0(X0)
    | r2(X0) ) ).

cnf(rule_186,axiom,
    ( q2(X0,X0,X1)
    | ~ l1(X1,X0) ) ).

cnf(u396,axiom,
    k1(d) ).

cnf(u1449,axiom,
    k4(c) ).

cnf(rule_314,axiom,
    ( n5(X0,X0)
    | ~ r4(X0) ) ).

cnf(u580,axiom,
    n2(e) ).

cnf(u504,axiom,
    ( ~ k0(X0)
    | n2(X0) ) ).

cnf(u1379,axiom,
    r3(e,X0,e) ).

cnf(rule_100,axiom,
    ( ~ n0(X1,X0)
    | q1(X0,X0,X0) ) ).

cnf(rule_069,axiom,
    ( p1(X0,X0,X1)
    | ~ p0(X1,X0) ) ).

cnf(u461,axiom,
    m1(c,c,c) ).

cnf(u2204,axiom,
    p2(b,c,a) ).

cnf(rule_093,axiom,
    ( ~ q0(X1,X0)
    | q1(X0,X0,X0) ) ).

cnf(u512,axiom,
    n2(a) ).

cnf(rule_095,axiom,
    ( q1(X0,X1,X1)
    | ~ p0(X1,X0) ) ).

cnf(rule_021,axiom,
    ( m1(X0,X1,X0)
    | ~ l0(X0)
    | ~ k0(X1) ) ).

cnf(rule_210,axiom,
    ( k3(X0,X0,X0)
    | ~ n2(X0) ) ).

cnf(axiom_37,axiom,
    n0(b,a) ).

cnf(rule_206,axiom,
    ( ~ p2(X1,X0,X0)
    | k3(X0,X1,X0) ) ).

cnf(u1720,axiom,
    ( n1(X0,d,b)
    | ~ r0(X0) ) ).

cnf(u718,axiom,
    q1(d,d,d) ).

cnf(axiom_35,axiom,
    m0(d,e,c) ).

cnf(axiom_38,axiom,
    m0(b,a,a) ).

cnf(u953,axiom,
    ( p2(X0,X1,X0)
    | ~ l0(X1)
    | ~ k0(X0) ) ).

cnf(u1986,axiom,
    ( m3(X0,X1,X1)
    | ~ m2(X1) ) ).

cnf(rule_277,axiom,
    ( ~ p3(X1,X2,X0)
    | l4(X0) ) ).

cnf(axiom_24,axiom,
    l0(c) ).

cnf(axiom_31,axiom,
    m0(b,b,e) ).

cnf(axiom_18,axiom,
    p0(c,b) ).

cnf(u1652,axiom,
    p3(X0,X0,X1) ).

cnf(axiom_17,axiom,
    q0(X0,d) ).

cnf(u1464,axiom,
    ( p4(X0,X0,X1)
    | ~ r0(X0) ) ).

cnf(u2046,axiom,
    m3(c,b,d) ).

cnf(u1391,axiom,
    ( q2(X0,X1,X1)
    | ~ k0(X1) ) ).

cnf(rule_255,axiom,
    ( ~ q2(X2,X0,X1)
    | q3(X0,X1)
    | ~ n0(X2,X0) ) ).

cnf(u2210,axiom,
    p2(a,c,b) ).

cnf(u951,axiom,
    p2(d,X0,d) ).

cnf(rule_267,axiom,
    ( ~ p2(X0,X2,X1)
    | r3(X0,X1,X0) ) ).

cnf(u2262,axiom,
    ( ~ n5(X4,X1)
    | n5(X0,X1) ) ).

cnf(u450,axiom,
    l1(d,d) ).

cnf(rule_218,axiom,
    ( l3(X0,X0)
    | ~ r2(X0) ) ).

cnf(u640,axiom,
    ( ~ p0(X0,X1)
    | n2(X0) ) ).

cnf(u511,axiom,
    p1(a,a,a) ).

cnf(axiom_11,axiom,
    n0(e,b) ).

cnf(rule_176,axiom,
    ( ~ m1(X1,X0,X1)
    | p2(X0,X1,X0) ) ).

cnf(u1586,axiom,
    q1(X0,d,X0) ).

cnf(axiom_20,axiom,
    l0(a) ).

cnf(u1585,axiom,
    q1(X0,a,X0) ).

cnf(u599,axiom,
    p1(c,c,c) ).

cnf(axiom_14,axiom,
    p0(b,X0) ).

cnf(axiom_13,axiom,
    r0(e) ).

cnf(rule_156,axiom,
    ( ~ q1(a,X1,X0)
    | ~ n1(e,X0,a)
    | p2(X0,e,X1) ) ).

cnf(rule_125,axiom,
    ( ~ p0(X0,X0)
    | s1(X0) ) ).

cnf(axiom_7,axiom,
    n0(d,b) ).

cnf(rule_127,axiom,
    ( ~ m1(X2,X1,X0)
    | k2(X0,X1)
    | ~ k1(X3)
    | ~ k2(X3,X1) ) ).

cnf(rule_083,axiom,
    ( ~ m1(X0,X1,b)
    | p1(X0,b,X1)
    | ~ k0(X1) ) ).

cnf(u445,axiom,
    l1(c,c) ).

cnf(u598,axiom,
    p1(b,b,b) ).

cnf(u597,axiom,
    p1(e,e,e) ).

cnf(rule_097,axiom,
    ( q1(X0,X0,X0)
    | ~ s0(X0) ) ).

cnf(u2149,axiom,
    ( ~ q2(X3,d,X0)
    | p3(X0,X1,X2) ) ).

cnf(u425,axiom,
    s1(b) ).

cnf(rule_066,axiom,
    ( ~ n0(X1,X0)
    | p1(X0,X0,X0) ) ).

cnf(u811,axiom,
    ( q1(X0,b,b)
    | ~ s0(X0) ) ).

cnf(rule_264,axiom,
    ( r3(X0,X0,X0)
    | ~ s2(X0) ) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : SYN720-1 : TPTP v9.3.1. Released v2.5.0.
% 0.00/0.05  % Command  : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.20  % Computer : n026.cluster.edu
% 0.07/0.20  % Model    : x86_64 x86_64
% 0.07/0.20  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.07/0.20  % Memory   : 8046.5625MB
% 0.07/0.20  % OS       : Linux 6.8.0-71-generic
% 0.07/0.20  % CPULimit : 300
% 0.07/0.20  % WCLimit  : 300
% 0.07/0.20  % DateTime : Mon Sep 28 16:51:42 UTC 2026
% 0.07/0.20  % CPUTime  : 
% 0.07/0.20  Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 SAT
% 0.07/0.22  Running first-order model finding
% 0.07/0.22  Running: /export/starexec/sandbox2/solver/bin/vampire-ho --input_syntax tptp --output_axiom_names on --mode casc --intent sat -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.20/0.28  % (4012644)Will run a generic schedule for satisfiability detection.
% 0.20/0.28  % (4012651)dis+10_161_sil=256000:plsq=on:plsqr=61199697,1048576:gs=on:alpa=true:sac=on:slsq=on:cn=on:random_seed=1407429412:i=88024:add=on:rawr=on_2999 on theBenchmark for (2999ds/88024Mi)
% 0.20/0.28  % (4012650)% WARNING: option uhcvi not known.
% 0.20/0.28  % (4012649)fmb+10_1_sas=cadical:bce=on:rp=on:random_seed=1126703442_2999 on theBenchmark for (2999ds/0Mi)
% 0.20/0.28  % (4012650)dis+11_61:31_drc=ordering:lsd=5:bsr=unit_only:rp=on:newcnf=on:random_seed=3164723417:i=135531:add=off:rawr=on_2999 on theBenchmark for (2999ds/135531Mi)
% 0.20/0.28  % (4012654)ott+1_1_to=lpo:sil=16000:sp=reverse_arity:erd=off:random_seed=2836574223:i=131_2999 on theBenchmark for (2999ds/131Mi)
% 0.20/0.28  % (4012652)dis+10_1_sil=32000:sp=arity:random_seed=2853831301:i=103:fgj=on_2999 on theBenchmark for (2999ds/103Mi)
% 0.20/0.28  % (4012653)ott+31_1_sil=16000:lcm=predicate:bce=on:newcnf=on:random_seed=2095619970:i=116_2999 on theBenchmark for (2999ds/116Mi)
% 0.20/0.28  % (4012655)ott-3_16_to=lpo:sil=16000:sp=arity:fd=off:rp=on:random_seed=4079906111:i=159:bs=unit_only:nicw=on:fsr=off:amm=off_2999 on theBenchmark for (2999ds/159Mi)
% 0.20/0.28  % (4012651) found proof, printing to "/export/starexec/sandbox2/tmp/vampire-proof-4012644-4012651"...
% 0.20/0.28  % (4012651)...printing done.
% 0.20/0.28  % SZS status Satisfiable for theBenchmark
% 0.20/0.28  % SZS output start Saturation.
% See solution above
% 0.20/0.29  % SZS output start Definitions and Model Updates.
% 0.20/0.29  for all inputs,
% 0.20/0.29      define m5(X0,X1) := $true
% 0.20/0.29  for all inputs,
% 0.20/0.29      define q5(X0,X1) := $true
% 0.20/0.29  for all inputs,
% 0.20/0.29      define r5(X0,X1) := $true
% 0.20/0.29  % SZS output end Definitions and Model Updates.
% 0.20/0.29  % (4012651)------------------------------
% 0.20/0.29  % (4012651)Version: Vampire 5.0.1 (Release build, commit 5ef7c2677 on 2026-07-16 16:54:09 +0200)
% 0.20/0.29  % (4012651)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 0.20/0.29  % (4012651)CaDiCaL version: 2.1.3
% 0.20/0.29  % (4012651)Termination reason: Satisfiable
% 0.20/0.29  % (4012651)Time elapsed: 0.020 s
% 0.20/0.29  % (4012651)Peak memory usage: 13 MB
% 0.20/0.29  % (4012651)Instructions burned: 52 (million)
% 0.20/0.29  % (4012644)Success in time 0.049 s
% 0.20/0.29  % Vampire exiting
%------------------------------------------------------------------------------