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Vampire---5.0.1.SAT-Sat.s

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%------------------------------------------------------------------------------
% File     : Vampire---5.0.1
% Problem  : GRP124-3.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm  : none
% Format   : tptp:raw
% Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM

% Computer : n016.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 10:12:42 AM UTC 2026

% Result   : Satisfiable 43.59s 7.16s
% Output   : Saturation 45.07s
% Verified : 
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)

% Comments : 
%------------------------------------------------------------------------------
cnf(u84,axiom,
    ~ product(e_4,e_5,e_5) ).

cnf(u88,axiom,
    ~ product(e_4,e_5,e_4) ).

cnf(u93,axiom,
    product(e_4,e_5,e_3) ).

cnf(u96,axiom,
    ~ product(e_4,e_5,e_2) ).

cnf(u100,axiom,
    ~ product(e_4,e_5,e_1) ).

cnf(u105,axiom,
    ~ product(e_3,e_5,e_5) ).

cnf(u109,axiom,
    ~ product(e_3,e_5,e_4) ).

cnf(u113,axiom,
    ~ product(e_3,e_5,e_3) ).

cnf(u117,axiom,
    ~ product(e_3,e_5,e_2) ).

cnf(u122,axiom,
    product(e_3,e_5,e_1) ).

cnf(u126,axiom,
    ~ product(e_2,e_5,e_5) ).

cnf(u131,axiom,
    product(e_2,e_5,e_4) ).

cnf(u134,axiom,
    ~ product(e_2,e_5,e_3) ).

cnf(u138,axiom,
    ~ product(e_2,e_5,e_2) ).

cnf(u142,axiom,
    ~ product(e_2,e_5,e_1) ).

cnf(u147,axiom,
    ~ product(e_1,e_5,e_5) ).

cnf(u151,axiom,
    ~ product(e_1,e_5,e_4) ).

cnf(u155,axiom,
    ~ product(e_1,e_5,e_3) ).

cnf(u160,axiom,
    product(e_1,e_5,e_2) ).

cnf(u163,axiom,
    ~ product(e_1,e_5,e_1) ).

cnf(u249,axiom,
    ~ product(e_5,e_2,e_5) ).

cnf(u254,axiom,
    product(e_5,e_2,e_4) ).

cnf(u257,axiom,
    ~ product(e_5,e_2,e_3) ).

cnf(u261,axiom,
    ~ product(e_5,e_2,e_2) ).

cnf(u265,axiom,
    ~ product(e_5,e_2,e_1) ).

cnf(u272,axiom,
    product(e_3,e_2,e_5) ).

cnf(u275,axiom,
    ~ product(e_3,e_2,e_4) ).

cnf(u279,axiom,
    ~ product(e_3,e_2,e_3) ).

cnf(u283,axiom,
    ~ product(e_3,e_2,e_2) ).

cnf(u287,axiom,
    ~ product(e_3,e_2,e_1) ).

cnf(u292,axiom,
    ~ product(e_1,e_2,e_5) ).

cnf(u296,axiom,
    ~ product(e_1,e_2,e_4) ).

cnf(u301,axiom,
    product(e_1,e_2,e_3) ).

cnf(u304,axiom,
    ~ product(e_1,e_2,e_2) ).

cnf(u308,axiom,
    ~ product(e_1,e_2,e_1) ).

cnf(u313,negated_conjecture,
    ~ product(e_4,e_2,e_4) ).

cnf(u317,negated_conjecture,
    ~ product(e_4,e_2,e_3) ).

cnf(u321,negated_conjecture,
    ~ product(e_4,e_2,e_2) ).

cnf(u326,negated_conjecture,
    product(e_4,e_2,e_1) ).

cnf(u330,axiom,
    ~ product(e_4,e_2,e_5) ).

cnf(u431,axiom,
    product(e_2,e_3,e_5) ).

cnf(u434,axiom,
    ~ product(e_2,e_3,e_4) ).

cnf(u438,axiom,
    ~ product(e_2,e_3,e_3) ).

cnf(u442,axiom,
    ~ product(e_2,e_3,e_2) ).

cnf(u446,axiom,
    ~ product(e_2,e_3,e_1) ).

cnf(u451,axiom,
    ~ product(e_1,e_3,e_5) ).

cnf(u456,axiom,
    product(e_1,e_3,e_4) ).

cnf(u459,axiom,
    ~ product(e_1,e_3,e_3) ).

cnf(u463,axiom,
    ~ product(e_1,e_3,e_2) ).

cnf(u467,axiom,
    ~ product(e_1,e_3,e_1) ).

cnf(u472,negated_conjecture,
    ~ product(e_5,e_3,e_5) ).

cnf(u476,negated_conjecture,
    ~ product(e_5,e_3,e_4) ).

cnf(u480,negated_conjecture,
    ~ product(e_5,e_3,e_3) ).

cnf(u485,negated_conjecture,
    product(e_5,e_3,e_1) ).

cnf(u489,negated_conjecture,
    ~ product(e_4,e_3,e_4) ).

cnf(u493,negated_conjecture,
    ~ product(e_4,e_3,e_3) ).

cnf(u498,negated_conjecture,
    product(e_4,e_3,e_2) ).

cnf(u501,negated_conjecture,
    ~ product(e_4,e_3,e_1) ).

cnf(u506,axiom,
    ~ product(e_5,e_3,e_2) ).

cnf(u511,axiom,
    ~ product(e_4,e_3,e_5) ).

cnf(u637,axiom,
    ~ product(e_5,e_4,e_5) ).

cnf(u641,axiom,
    ~ product(e_5,e_4,e_4) ).

cnf(u646,axiom,
    product(e_5,e_4,e_3) ).

cnf(u649,axiom,
    ~ product(e_5,e_4,e_2) ).

cnf(u653,axiom,
    ~ product(e_5,e_4,e_1) ).

cnf(u661,negated_conjecture,
    ~ product(e_3,e_4,e_5) ).

cnf(u665,negated_conjecture,
    ~ product(e_3,e_4,e_4) ).

cnf(u669,negated_conjecture,
    ~ product(e_3,e_4,e_3) ).

cnf(u673,negated_conjecture,
    ~ product(e_3,e_4,e_1) ).

cnf(u678,negated_conjecture,
    ~ product(e_2,e_4,e_5) ).

cnf(u682,negated_conjecture,
    ~ product(e_2,e_4,e_4) ).

cnf(u686,negated_conjecture,
    ~ product(e_2,e_4,e_2) ).

cnf(u691,negated_conjecture,
    product(e_2,e_4,e_1) ).

cnf(u695,negated_conjecture,
    ~ product(e_1,e_4,e_4) ).

cnf(u699,negated_conjecture,
    ~ product(e_1,e_4,e_3) ).

cnf(u703,negated_conjecture,
    ~ product(e_1,e_4,e_2) ).

cnf(u707,negated_conjecture,
    ~ product(e_1,e_4,e_1) ).

cnf(u712,axiom,
    ~ product(e_2,e_4,e_3) ).

cnf(u718,axiom,
    product(e_3,e_4,e_2) ).

cnf(u723,axiom,
    product(e_1,e_4,e_5) ).

cnf(u992,axiom,
    ~ product(e_2,e_1,e_5) ).

cnf(u996,axiom,
    ~ product(e_2,e_1,e_4) ).

cnf(u1001,axiom,
    product(e_2,e_1,e_3) ).

cnf(u1004,axiom,
    ~ product(e_2,e_1,e_2) ).

cnf(u1008,axiom,
    ~ product(e_2,e_1,e_1) ).

cnf(u1014,negated_conjecture,
    ~ product(e_4,e_1,e_4) ).

cnf(u1018,negated_conjecture,
    ~ product(e_4,e_1,e_3) ).

cnf(u1022,negated_conjecture,
    ~ product(e_4,e_1,e_2) ).

cnf(u1026,negated_conjecture,
    ~ product(e_4,e_1,e_1) ).

cnf(u1031,negated_conjecture,
    ~ product(e_3,e_1,e_5) ).

cnf(u1035,negated_conjecture,
    ~ product(e_3,e_1,e_3) ).

cnf(u1039,negated_conjecture,
    ~ product(e_3,e_1,e_2) ).

cnf(u1043,negated_conjecture,
    ~ product(e_3,e_1,e_1) ).

cnf(u1048,negated_conjecture,
    ~ product(e_5,e_1,e_5) ).

cnf(u1052,negated_conjecture,
    ~ product(e_5,e_1,e_4) ).

cnf(u1056,negated_conjecture,
    ~ product(e_5,e_1,e_1) ).

cnf(u1062,axiom,
    product(e_3,e_1,e_4) ).

cnf(u1068,axiom,
    product(e_4,e_1,e_5) ).

cnf(u1073,negated_conjecture,
    product(e_5,e_1,e_2) ).

cnf(u1077,axiom,
    ~ product(e_5,e_1,e_3) ).

cnf(u2224,axiom,
    ~ cycle(e_4,e_3) ).

cnf(u2228,axiom,
    ~ cycle(e_4,e_2) ).

cnf(u2233,axiom,
    cycle(e_4,e_1) ).

cnf(u2240,axiom,
    ~ cycle(e_3,e_4) ).

cnf(u2244,axiom,
    ~ cycle(e_3,e_3) ).

cnf(u2249,axiom,
    cycle(e_3,e_2) ).

cnf(u2252,axiom,
    ~ cycle(e_3,e_1) ).

cnf(u2260,axiom,
    ~ cycle(e_2,e_4) ).

cnf(u2265,axiom,
    cycle(e_2,e_3) ).

cnf(u2268,axiom,
    ~ cycle(e_2,e_2) ).

cnf(u2272,axiom,
    ~ cycle(e_2,e_1) ).

cnf(u2277,axiom,
    ( ~ product(e_1,e_1,X0)
    | ~ greater(X0,e_1) ) ).

cnf(u2280,axiom,
    ~ cycle(e_1,e_4) ).

cnf(u2284,axiom,
    ~ cycle(e_1,e_3) ).

cnf(u2288,axiom,
    ~ cycle(e_1,e_2) ).

cnf(u2292,axiom,
    ~ cycle(e_1,e_1) ).

cnf(u3812,axiom,
    ~ group_element(e_0) ).

cnf(u3206,negated_conjecture,
    ( ~ product(e_1,e_5,X0)
    | ~ product(e_4,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X1,e_1) ) ).

cnf(cycle1,axiom,
    ( ~ cycle(X0,X2)
    | ~ cycle(X0,X1)
    | equalish(X1,X2) ) ).

cnf(u3229,axiom,
    ( ~ product(X0,e_5,e_1)
    | equalish(X0,e_3) ) ).

cnf(element_5,axiom,
    group_element(e_5) ).

cnf(u2589,negated_conjecture,
    ( ~ product(e_1,e_4,X0)
    | ~ product(e_3,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X1,e_1) ) ).

cnf(u3220,axiom,
    ( ~ product(e_1,e_5,X0)
    | equalish(X0,e_2) ) ).

cnf(u2587,axiom,
    ( ~ product(e_3,X0,e_4)
    | equalish(X0,e_1) ) ).

cnf(e_2_is_not_e_3,axiom,
    ~ equalish(e_2,e_3) ).

cnf(u3976,axiom,
    ( ~ next(e_0,X0)
    | equalish(e_1,X0) ) ).

cnf(u3235,axiom,
    ( ~ product(e_2,X0,e_4)
    | equalish(X0,e_5) ) ).

cnf(u61,axiom,
    equalish(X0,X0) ).

cnf(u3224,negated_conjecture,
    ( ~ product(e_5,e_2,X0)
    | ~ product(e_1,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X2,e_2) ) ).

cnf(u2090,negated_conjecture,
    ~ product(e_1,e_1,e_5) ).

cnf(u3377,negated_conjecture,
    ( ~ product(e_4,X0,X1)
    | ~ product(X0,X1,e_1)
    | equalish(X1,e_3) ) ).

cnf(u3262,axiom,
    ( ~ product(e_5,e_4,X0)
    | equalish(X0,e_3) ) ).

cnf(u3244,negated_conjecture,
    ( ~ product(e_2,e_5,X0)
    | ~ product(e_3,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X1,e_2) ) ).

cnf(e_5_is_not_e_3,axiom,
    ~ equalish(e_5,e_3) ).

cnf(u3248,axiom,
    ( ~ product(e_3,e_4,X0)
    | equalish(X0,e_2) ) ).

cnf(u76,axiom,
    ( ~ group_element(X0)
    | product(X0,e_5,e_1)
    | product(X0,e_5,e_2)
    | product(X0,e_5,e_3)
    | product(X0,e_5,e_4)
    | product(X0,e_5,e_5) ) ).

cnf(u3663,axiom,
    ( ~ cycle(X2,e_2)
    | ~ next(X2,X0)
    | ~ cycle(X0,X1)
    | ~ next(X1,X3)
    | equalish(e_2,X3) ) ).

cnf(u3406,negated_conjecture,
    ( ~ product(e_5,X0,X1)
    | ~ product(X0,X1,e_2)
    | equalish(X1,e_3) ) ).

cnf(u66,negated_conjecture,
    ( ~ product(X0,X0,X1)
    | ~ product(X0,X2,X3)
    | ~ product(X2,X3,X1)
    | equalish(X3,X0) ) ).

cnf(u3791,axiom,
    ( ~ cycle(e_0,X2)
    | ~ cycle(X0,X1)
    | ~ greater(X2,X1)
    | ~ next(e_1,X0) ) ).

cnf(u3265,negated_conjecture,
    ( ~ product(e_4,e_3,X0)
    | ~ product(e_5,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X1,e_4) ) ).

cnf(u3189,axiom,
    ( ~ product(X0,e_1,e_3)
    | equalish(X0,e_2) ) ).

cnf(u3444,negated_conjecture,
    ( ~ product(e_5,X0,X1)
    | ~ product(X0,X1,e_2)
    | equalish(X0,e_4) ) ).

cnf(u3190,negated_conjecture,
    ( ~ product(e_1,e_3,X0)
    | ~ product(e_2,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X1,e_1) ) ).

cnf(u3317,axiom,
    ( ~ product(X0,e_3,e_5)
    | equalish(X0,e_2) ) ).

cnf(e_2_greater_e_0,axiom,
    greater(e_2,e_0) ).

cnf(u3973,axiom,
    ( ~ next(e_1,X0)
    | equalish(e_2,X0) ) ).

cnf(u3194,axiom,
    ( ~ product(e_4,e_5,X0)
    | equalish(X0,e_3) ) ).

cnf(u3971,axiom,
    ( ~ cycle(e_4,X0)
    | ~ next(X0,X1)
    | equalish(e_2,X1) ) ).

cnf(u3318,negated_conjecture,
    ( ~ product(e_3,e_5,X0)
    | ~ product(e_2,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X1,e_3) ) ).

cnf(e_4_then_e_5,axiom,
    next(e_4,e_5) ).

cnf(u3311,negated_conjecture,
    ( ~ product(e_2,e_3,X0)
    | ~ product(e_1,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X1,e_2) ) ).

cnf(e_4_greater_e_2,axiom,
    greater(e_4,e_2) ).

cnf(u3322,axiom,
    ( ~ product(e_5,e_2,X0)
    | equalish(X0,e_4) ) ).

cnf(u3204,axiom,
    ( ~ product(e_4,X0,e_5)
    | equalish(X0,e_1) ) ).

cnf(cycle2,axiom,
    ( cycle(X0,e_0)
    | ~ group_element(X0)
    | cycle(X0,e_1)
    | cycle(X0,e_2)
    | cycle(X0,e_3)
    | cycle(X0,e_4) ) ).

cnf(u3472,negated_conjecture,
    ~ product(e_1,e_1,e_2) ).

cnf(e_4_is_not_e_1,axiom,
    ~ equalish(e_4,e_1) ).

cnf(u3466,negated_conjecture,
    ( ~ product(e_4,X0,X1)
    | ~ product(X0,X1,e_3)
    | equalish(X1,e_1) ) ).

cnf(u3228,axiom,
    ( ~ product(e_3,X0,e_1)
    | equalish(X0,e_5) ) ).

cnf(e_1_is_not_e_4,axiom,
    ~ equalish(e_1,e_4) ).

cnf(u3243,axiom,
    ( ~ product(X0,e_2,e_5)
    | equalish(X0,e_3) ) ).

cnf(u62,axiom,
    ( ~ product(X0,X0,X1)
    | equalish(X1,X0) ) ).

cnf(u3383,negated_conjecture,
    ~ product(e_4,e_4,e_1) ).

cnf(u60,axiom,
    ( ~ product(X0,X1,X0)
    | equalish(X1,X0) ) ).

cnf(u3387,negated_conjecture,
    ( ~ product(e_3,X0,X1)
    | ~ product(X0,X1,e_4)
    | equalish(X1,e_5) ) ).

cnf(e_5_is_not_e_2,axiom,
    ~ equalish(e_5,e_2) ).

cnf(u75,axiom,
    ( ~ group_element(X0)
    | product(X0,e_4,e_1)
    | product(X0,e_4,e_2)
    | product(X0,e_4,e_3)
    | product(X0,e_4,e_4)
    | product(X0,e_4,e_5) ) ).

cnf(u3662,axiom,
    ( ~ cycle(X2,e_1)
    | ~ next(X2,X0)
    | ~ cycle(X0,X1)
    | ~ next(X1,X3)
    | equalish(e_1,X3) ) ).

cnf(u73,axiom,
    ( ~ group_element(X0)
    | product(X0,e_2,e_1)
    | product(X0,e_2,e_2)
    | product(X0,e_2,e_3)
    | product(X0,e_2,e_4)
    | product(X0,e_2,e_5) ) ).

cnf(u3249,axiom,
    ( ~ product(e_3,X0,e_2)
    | equalish(X0,e_4) ) ).

cnf(u3666,axiom,
    ( ~ cycle(X2,e_5)
    | ~ next(X2,X0)
    | ~ cycle(X0,X1)
    | ~ next(X1,X3)
    | equalish(e_5,X3) ) ).

cnf(u3790,axiom,
    ( ~ greater(e_1,X2)
    | ~ next(e_1,X0)
    | ~ cycle(X0,X1)
    | ~ greater(X3,X1)
    | ~ cycle(X2,X3) ) ).

cnf(u3365,negated_conjecture,
    ( ~ product(e_1,X0,X1)
    | ~ product(X0,X1,e_4)
    | equalish(X1,e_2) ) ).

cnf(u3418,negated_conjecture,
    ( ~ product(e_1,X0,X1)
    | ~ product(X0,X1,e_4)
    | equalish(X0,e_5) ) ).

cnf(u3542,negated_conjecture,
    ~ product(e_2,e_2,e_4) ).

cnf(u3173,axiom,
    ( ~ product(e_1,e_3,X0)
    | equalish(X0,e_4) ) ).

cnf(u3278,negated_conjecture,
    ( ~ product(X0,e_3,e_2)
    | equalish(X0,e_4) ) ).

cnf(u3177,negated_conjecture,
    ( ~ product(e_3,e_4,X0)
    | ~ product(e_1,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X2,e_4) ) ).

cnf(u3174,axiom,
    ( ~ product(e_1,X0,e_4)
    | equalish(X0,e_3) ) ).

cnf(u3301,negated_conjecture,
    ( ~ product(e_2,e_4,X0)
    | equalish(X0,e_1) ) ).

cnf(u3197,negated_conjecture,
    ( ~ product(e_5,e_3,X0)
    | ~ product(e_4,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X1,e_5) ) ).

cnf(u3305,negated_conjecture,
    ( ~ product(e_4,e_1,X0)
    | ~ product(e_2,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X2,e_1) ) ).

cnf(u3302,negated_conjecture,
    ( ~ product(e_2,X0,e_1)
    | equalish(X0,e_4) ) ).

cnf(u3188,axiom,
    ( ~ product(e_2,X0,e_3)
    | equalish(X0,e_1) ) ).

cnf(u3325,negated_conjecture,
    ( ~ product(e_2,e_4,X0)
    | ~ product(e_5,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X1,e_2) ) ).

cnf(u3975,axiom,
    ( ~ cycle(e_5,X0)
    | ~ next(X0,X1)
    | equalish(e_1,X1) ) ).

cnf(u1917,axiom,
    ( ~ cycle(X0,X1)
    | cycle(X0,e_1)
    | cycle(X0,e_2)
    | cycle(X0,e_3)
    | cycle(X0,e_4)
    | ~ group_element(X0)
    | equalish(X1,e_0) ) ).

cnf(u3316,axiom,
    ( ~ product(e_2,X0,e_5)
    | equalish(X0,e_3) ) ).

cnf(e_1_greater_e_0,axiom,
    greater(e_1,e_0) ).

cnf(u3203,axiom,
    ( ~ product(e_4,e_1,X0)
    | equalish(X0,e_5) ) ).

cnf(element_2,axiom,
    group_element(e_2) ).

cnf(u3450,negated_conjecture,
    ( ~ product(e_3,X0,X1)
    | ~ product(X0,X1,e_2)
    | equalish(X0,e_5) ) ).

cnf(u3230,negated_conjecture,
    ( ~ product(e_5,e_1,X0)
    | ~ product(e_3,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X1,e_5) ) ).

cnf(u2811,negated_conjecture,
    ~ product(e_5,e_5,e_1) ).

cnf(u3223,negated_conjecture,
    ( ~ product(e_5,e_2,X0)
    | ~ product(e_1,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X1,e_5) ) ).

cnf(e_5_greater_e_3,axiom,
    greater(e_5,e_3) ).

cnf(u2590,negated_conjecture,
    ( ~ product(e_1,e_4,X0)
    | ~ product(e_3,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X2,e_4) ) ).

cnf(u3227,axiom,
    ( ~ product(e_3,e_5,X0)
    | equalish(X0,e_1) ) ).

cnf(e_4_is_not_e_2,axiom,
    ~ equalish(e_4,e_2) ).

cnf(u3367,negated_conjecture,
    ( ~ product(e_1,X0,X1)
    | ~ product(X0,X1,e_2)
    | equalish(X1,e_4) ) ).

cnf(e_5_greater_e_2,axiom,
    greater(e_5,e_2) ).

cnf(e_3_is_not_e_5,axiom,
    ~ equalish(e_3,e_5) ).

cnf(u2200,negated_conjecture,
    ~ product(e_5,e_5,e_3) ).

cnf(u3495,negated_conjecture,
    ( ~ product(e_4,X0,X1)
    | ~ product(X0,X1,e_3)
    | equalish(X0,e_2) ) ).

cnf(u2353,axiom,
    ( ~ cycle(X0,e_2)
    | ~ product(X0,e_1,X1)
    | ~ next(X0,X2)
    | equalish(X1,X2) ) ).

cnf(qg2_2,negated_conjecture,
    ( ~ product(X5,X3,X4)
    | ~ product(X3,X4,X2)
    | ~ product(X5,X0,X1)
    | ~ product(X0,X1,X2)
    | equalish(X1,X4) ) ).

cnf(e_1_is_not_e_3,axiom,
    ~ equalish(e_1,e_3) ).

cnf(product_idempotence,axiom,
    product(X0,X0,X0) ).

cnf(u3398,negated_conjecture,
    ( ~ product(e_3,X0,X1)
    | ~ product(X0,X1,e_2)
    | equalish(X1,e_1) ) ).

cnf(u3780,axiom,
    ( ~ next(e_5,X2)
    | ~ cycle(X2,X3)
    | ~ cycle(X0,X1)
    | ~ greater(e_5,X0)
    | ~ greater(X1,X3) ) ).

cnf(u74,axiom,
    ( ~ group_element(X0)
    | product(X0,e_3,e_1)
    | product(X0,e_3,e_2)
    | product(X0,e_3,e_3)
    | product(X0,e_3,e_4)
    | product(X0,e_3,e_5) ) ).

cnf(u3157,negated_conjecture,
    ( ~ product(e_3,X0,X1)
    | ~ product(X0,X1,e_5)
    | equalish(X0,e_1) ) ).

cnf(u3412,negated_conjecture,
    ( ~ product(e_2,X0,X1)
    | ~ product(X0,X1,e_1)
    | equalish(X0,e_3) ) ).

cnf(u3941,axiom,
    ( ~ product(e_2,e_1,X0)
    | ~ next(e_2,X1)
    | equalish(X0,X1) ) ).

cnf(u72,axiom,
    ( ~ group_element(X0)
    | product(X0,e_1,e_1)
    | product(X0,e_1,e_2)
    | product(X0,e_1,e_3)
    | product(X0,e_1,e_4)
    | product(X0,e_1,e_5) ) ).

cnf(u3161,axiom,
    ( ~ product(X0,e_4,e_5)
    | equalish(X0,e_1) ) ).

cnf(u3285,negated_conjecture,
    ( ~ product(X0,e_3,e_1)
    | equalish(X0,e_5) ) ).

cnf(u3266,negated_conjecture,
    ( ~ product(e_4,e_3,X0)
    | ~ product(e_5,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X2,e_3) ) ).

cnf(u3162,negated_conjecture,
    ( ~ product(e_4,e_5,X0)
    | ~ product(e_1,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X1,e_4) ) ).

cnf(u3286,negated_conjecture,
    ( ~ product(e_3,e_1,X0)
    | ~ product(e_5,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X1,e_3) ) ).

cnf(u3964,axiom,
    ( ~ product(e_3,e_1,X0)
    | ~ next(e_3,X1)
    | equalish(X0,X1) ) ).

cnf(u3279,negated_conjecture,
    ( ~ product(e_3,e_2,X0)
    | ~ product(e_4,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X1,e_3) ) ).

cnf(u3309,axiom,
    ( ~ product(e_1,X0,e_3)
    | equalish(X0,e_2) ) ).

cnf(u3290,negated_conjecture,
    ( ~ product(e_5,e_1,X0)
    | equalish(X0,e_2) ) ).

cnf(u3187,axiom,
    ( ~ product(e_2,e_1,X0)
    | equalish(X0,e_3) ) ).

cnf(u3196,axiom,
    ( ~ product(X0,e_5,e_3)
    | equalish(X0,e_4) ) ).

cnf(u3315,axiom,
    ( ~ product(e_2,e_3,X0)
    | equalish(X0,e_5) ) ).

cnf(e_4_greater_e_1,axiom,
    greater(e_4,e_1) ).

cnf(u3304,negated_conjecture,
    ( ~ product(e_4,e_1,X0)
    | ~ product(e_2,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X1,e_4) ) ).

cnf(u3207,negated_conjecture,
    ( ~ product(e_1,e_5,X0)
    | ~ product(e_4,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X2,e_5) ) ).

cnf(u3324,axiom,
    ( ~ product(X0,e_2,e_4)
    | equalish(X0,e_5) ) ).

cnf(e_2_then_e_3,axiom,
    next(e_2,e_3) ).

cnf(u3457,negated_conjecture,
    ( ~ product(e_4,X0,X1)
    | ~ product(X0,X1,e_1)
    | equalish(X0,e_5) ) ).

cnf(element_3,axiom,
    group_element(e_3) ).

cnf(e_0_then_e_1,axiom,
    next(e_0,e_1) ).

cnf(element_1,axiom,
    group_element(e_1) ).

cnf(u2832,negated_conjecture,
    ~ product(e_5,e_5,e_2) ).

cnf(e_3_is_not_e_4,axiom,
    ~ equalish(e_3,e_4) ).

cnf(e_4_greater_e_3,axiom,
    greater(e_4,e_3) ).

cnf(e_3_is_not_e_1,axiom,
    ~ equalish(e_3,e_1) ).

cnf(u2586,axiom,
    ( ~ product(e_3,e_1,X0)
    | equalish(X0,e_4) ) ).

cnf(u3873,axiom,
    ( ~ cycle(e_4,X0)
    | equalish(X0,e_1) ) ).

cnf(e_4_is_not_e_3,axiom,
    ~ equalish(e_4,e_3) ).

cnf(u2364,axiom,
    ( ~ cycle(X0,e_1)
    | ~ product(X0,e_1,X1)
    | ~ next(X0,X2)
    | equalish(X1,X2) ) ).

cnf(qg2_1,negated_conjecture,
    ( ~ product(X5,X3,X4)
    | ~ product(X3,X4,X2)
    | ~ product(X5,X0,X1)
    | ~ product(X0,X1,X2)
    | equalish(X0,X3) ) ).

cnf(u3510,negated_conjecture,
    ~ product(e_2,e_2,e_5) ).

cnf(u3781,axiom,
    ( ~ group_element(X4)
    | ~ cycle(X2,X3)
    | ~ next(X4,X2)
    | ~ greater(X4,X0)
    | ~ greater(X1,X3)
    | ~ cycle(X0,X1)
    | cycle(X4,e_1)
    | cycle(X4,e_2)
    | cycle(X4,e_3)
    | cycle(X4,e_4) ) ).

cnf(product_left_cancellation,axiom,
    ( ~ product(X3,X1,X2)
    | ~ product(X0,X1,X2)
    | equalish(X0,X3) ) ).

cnf(u3250,axiom,
    ( ~ product(X0,e_4,e_2)
    | equalish(X0,e_3) ) ).

cnf(u3396,negated_conjecture,
    ( ~ product(e_2,X0,X1)
    | ~ product(X0,X1,e_4)
    | equalish(X0,e_1) ) ).

cnf(u3269,negated_conjecture,
    ( ~ product(e_4,e_2,X0)
    | equalish(X0,e_1) ) ).

cnf(u3263,axiom,
    ( ~ product(e_5,X0,e_3)
    | equalish(X0,e_4) ) ).

cnf(u3943,axiom,
    ( ~ cycle(e_2,X0)
    | equalish(X0,e_3) ) ).

cnf(u3273,negated_conjecture,
    ( ~ product(e_2,e_1,X0)
    | ~ product(e_4,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X2,e_1) ) ).

cnf(u3420,negated_conjecture,
    ( ~ product(e_3,X0,X1)
    | ~ product(X0,X1,e_1)
    | equalish(X0,e_4) ) ).

cnf(u3270,negated_conjecture,
    ( ~ product(e_4,X0,e_1)
    | equalish(X0,e_2) ) ).

cnf(u3293,negated_conjecture,
    ( ~ product(e_1,e_2,X0)
    | ~ product(e_5,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X1,e_1) ) ).

cnf(u3417,negated_conjecture,
    ( ~ product(e_5,X0,X1)
    | ~ product(X0,X1,e_3)
    | equalish(X1,e_2) ) ).

cnf(u3548,negated_conjecture,
    ~ product(e_3,e_3,e_4) ).

cnf(u3160,axiom,
    ( ~ product(e_1,X0,e_5)
    | equalish(X0,e_4) ) ).

cnf(u3198,negated_conjecture,
    ( ~ product(e_5,e_3,X0)
    | ~ product(e_4,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X2,e_3) ) ).

cnf(u3284,negated_conjecture,
    ( ~ product(e_5,X0,e_1)
    | equalish(X0,e_3) ) ).

cnf(u3191,negated_conjecture,
    ( ~ product(e_1,e_3,X0)
    | ~ product(e_2,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X2,e_3) ) ).

cnf(u3441,negated_conjecture,
    ( ~ product(e_2,X0,X1)
    | ~ product(X0,X1,e_5)
    | equalish(X0,e_4) ) ).

cnf(u3195,axiom,
    ( ~ product(e_4,X0,e_3)
    | equalish(X0,e_5) ) ).

cnf(u3326,negated_conjecture,
    ( ~ product(e_2,e_4,X0)
    | ~ product(e_5,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X2,e_4) ) ).

cnf(u3319,negated_conjecture,
    ( ~ product(e_3,e_5,X0)
    | ~ product(e_2,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X2,e_5) ) ).

cnf(u3308,axiom,
    ( ~ product(e_1,e_2,X0)
    | equalish(X0,e_3) ) ).

cnf(u3569,negated_conjecture,
    ~ product(e_4,e_4,e_5) ).

cnf(u3323,axiom,
    ( ~ product(e_5,X0,e_4)
    | equalish(X0,e_2) ) ).

cnf(e_5_greater_e_1,axiom,
    greater(e_5,e_1) ).

cnf(u3312,negated_conjecture,
    ( ~ product(e_2,e_3,X0)
    | ~ product(e_1,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X2,e_3) ) ).

cnf(e_3_greater_e_1,axiom,
    greater(e_3,e_1) ).

cnf(u2321,axiom,
    ( ~ cycle(X0,e_5)
    | ~ product(X0,e_1,X1)
    | ~ next(X0,X2)
    | equalish(X1,X2) ) ).

cnf(u2588,axiom,
    ( ~ product(X0,e_1,e_4)
    | equalish(X0,e_3) ) ).

cnf(cycle7,axiom,
    ( ~ greater(X1,e_0)
    | ~ product(X0,e_1,X2)
    | ~ cycle(X0,X1)
    | ~ next(X0,X3)
    | equalish(X2,X3) ) ).

cnf(e_1_then_e_2,axiom,
    next(e_1,e_2) ).

cnf(e_3_is_not_e_2,axiom,
    ~ equalish(e_3,e_2) ).

cnf(cycle5,axiom,
    ( ~ cycle(X2,e_0)
    | ~ cycle(X0,X1)
    | ~ cycle(X3,X4)
    | ~ next(X2,X3)
    | ~ greater(X2,X0)
    | ~ greater(X1,X4) ) ).

cnf(u3487,negated_conjecture,
    ( ~ product(e_4,X0,X1)
    | ~ product(X0,X1,e_5)
    | equalish(X0,e_3) ) ).

cnf(u2322,axiom,
    ( ~ cycle(X0,e_3)
    | ~ product(X0,e_1,X1)
    | ~ next(X0,X2)
    | equalish(X1,X2) ) ).

cnf(e_5_is_not_e_4,axiom,
    ~ equalish(e_5,e_4) ).

cnf(u3366,negated_conjecture,
    ( ~ product(e_1,X0,X1)
    | ~ product(X0,X1,e_5)
    | equalish(X1,e_3) ) ).

cnf(element_4,axiom,
    group_element(e_4) ).

cnf(u3474,negated_conjecture,
    ( ~ product(e_5,X0,X1)
    | ~ product(X0,X1,e_4)
    | equalish(X1,e_1) ) ).

cnf(u3395,negated_conjecture,
    ( ~ product(e_2,X0,X1)
    | ~ product(X0,X1,e_1)
    | equalish(X1,e_5) ) ).

cnf(u3370,negated_conjecture,
    ( ~ product(e_3,X0,X1)
    | ~ product(X0,X1,e_1)
    | equalish(X1,e_2) ) ).

cnf(u3494,negated_conjecture,
    ~ product(e_1,e_1,e_4) ).

cnf(e_2_is_not_e_5,axiom,
    ~ equalish(e_2,e_5) ).

cnf(u3384,negated_conjecture,
    ( ~ product(e_1,X0,X1)
    | ~ product(X0,X1,e_5)
    | equalish(X0,e_2) ) ).

cnf(u3234,axiom,
    ( ~ product(e_2,e_5,X0)
    | equalish(X0,e_4) ) ).

cnf(u3870,axiom,
    ( ~ next(e_4,X0)
    | ~ cycle(X0,X1)
    | ~ next(X1,X2)
    | equalish(e_1,X2) ) ).

cnf(u69,negated_conjecture,
    ( ~ product(X0,X0,X1)
    | ~ product(X0,X2,X3)
    | ~ product(X2,X3,X1)
    | equalish(X2,X0) ) ).

cnf(u3277,negated_conjecture,
    ( ~ product(e_4,X0,e_2)
    | equalish(X0,e_3) ) ).

cnf(u3175,axiom,
    ( ~ product(X0,e_3,e_4)
    | equalish(X0,e_1) ) ).

cnf(u3283,negated_conjecture,
    ( ~ product(e_5,e_3,X0)
    | equalish(X0,e_1) ) ).

cnf(u3272,negated_conjecture,
    ( ~ product(e_2,e_1,X0)
    | ~ product(e_4,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X1,e_2) ) ).

cnf(u3310,axiom,
    ( ~ product(X0,e_2,e_3)
    | equalish(X0,e_1) ) ).

cnf(u3303,negated_conjecture,
    ( ~ product(X0,e_4,e_1)
    | equalish(X0,e_2) ) ).

cnf(u3292,negated_conjecture,
    ( ~ product(X0,e_1,e_2)
    | equalish(X0,e_5) ) ).

cnf(u1913,axiom,
    ( ~ greater(X0,e_5)
    | ~ product(e_5,e_1,X0) ) ).

cnf(e_2_greater_e_1,axiom,
    greater(e_2,e_1) ).

cnf(u2311,axiom,
    ( ~ cycle(X0,e_4)
    | ~ product(X0,e_1,X1)
    | ~ next(X0,X2)
    | equalish(X1,X2) ) ).

cnf(e_4_greater_e_0,axiom,
    greater(e_4,e_0) ).

cnf(u3963,axiom,
    ( ~ next(e_3,X0)
    | ~ cycle(X0,X1)
    | ~ next(X1,X2)
    | equalish(e_2,X2) ) ).

cnf(u3582,negated_conjecture,
    ~ product(e_4,e_4,e_2) ).

cnf(e_1_is_not_e_5,axiom,
    ~ equalish(e_1,e_5) ).

cnf(e_3_greater_e_2,axiom,
    greater(e_3,e_2) ).

cnf(cycle6,axiom,
    ( ~ cycle(X0,e_0)
    | ~ product(X0,e_1,X1)
    | ~ greater(X1,X0) ) ).

cnf(u3969,axiom,
    ( ~ next(e_3,X0)
    | equalish(e_4,X0) ) ).

cnf(u3478,negated_conjecture,
    ( ~ product(e_5,X0,X1)
    | ~ product(X0,X1,e_3)
    | equalish(X0,e_1) ) ).

cnf(e_5_is_not_e_1,axiom,
    ~ equalish(e_5,e_1) ).

cnf(u3364,negated_conjecture,
    ( ~ product(e_2,X0,X1)
    | ~ product(X0,X1,e_4)
    | equalish(X1,e_3) ) ).

cnf(u3966,axiom,
    ( ~ cycle(e_3,X0)
    | equalish(X0,e_2) ) ).

cnf(cycle4,axiom,
    ( ~ greater(X1,e_0)
    | ~ cycle(X2,X3)
    | ~ next(X0,X2)
    | ~ cycle(X0,X1)
    | ~ next(X3,X4)
    | equalish(X1,X4) ) ).

cnf(u3237,negated_conjecture,
    ( ~ product(e_5,e_4,X0)
    | ~ product(e_2,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X1,e_5) ) ).

cnf(u3368,negated_conjecture,
    ( ~ product(e_4,X0,X1)
    | ~ product(X0,X1,e_2)
    | equalish(X1,e_5) ) ).

cnf(product_right_cancellation,axiom,
    ( ~ product(X0,X3,X2)
    | ~ product(X0,X1,X2)
    | equalish(X1,X3) ) ).

cnf(u3241,axiom,
    ( ~ product(e_3,e_2,X0)
    | equalish(X0,e_5) ) ).

cnf(u3388,negated_conjecture,
    ( ~ product(e_1,X0,X1)
    | ~ product(X0,X1,e_3)
    | equalish(X0,e_4) ) ).

cnf(u3238,negated_conjecture,
    ( ~ product(e_5,e_4,X0)
    | ~ product(e_2,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X2,e_4) ) ).

cnf(product_total_function1,axiom,
    ( ~ group_element(X1)
    | ~ group_element(X0)
    | product(X0,X1,e_1)
    | product(X0,X1,e_2)
    | product(X0,X1,e_3)
    | product(X0,X1,e_4)
    | product(X0,X1,e_5) ) ).

cnf(u3231,negated_conjecture,
    ( ~ product(e_5,e_1,X0)
    | ~ product(e_3,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X2,e_1) ) ).

cnf(u2977,negated_conjecture,
    ~ product(e_5,e_5,e_4) ).

cnf(u3242,axiom,
    ( ~ product(e_3,X0,e_5)
    | equalish(X0,e_2) ) ).

cnf(u3385,negated_conjecture,
    ( ~ product(e_1,X0,X1)
    | ~ product(X0,X1,e_3)
    | equalish(X1,e_5) ) ).

cnf(u3252,negated_conjecture,
    ( ~ product(e_4,e_2,X0)
    | ~ product(e_3,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X2,e_2) ) ).

cnf(u64,axiom,
    ( ~ product(X0,X1,X1)
    | equalish(X0,X1) ) ).

cnf(u70,negated_conjecture,
    ( ~ product(X1,X2,X0)
    | ~ product(X0,X1,X2)
    | equalish(X1,X0) ) ).

cnf(u3405,negated_conjecture,
    ( ~ product(e_4,X0,X1)
    | ~ product(X0,X1,e_2)
    | equalish(X0,e_1) ) ).

cnf(u3159,axiom,
    ( ~ product(e_1,e_4,X0)
    | equalish(X0,e_5) ) ).

cnf(u2122,negated_conjecture,
    ~ product(e_2,e_2,e_1) ).

cnf(u3163,negated_conjecture,
    ( ~ product(e_4,e_5,X0)
    | ~ product(e_1,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X2,e_5) ) ).

cnf(u3294,negated_conjecture,
    ( ~ product(e_1,e_2,X0)
    | ~ product(e_5,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X2,e_2) ) ).

cnf(u3871,axiom,
    ( ~ product(e_4,e_1,X0)
    | ~ next(e_4,X1)
    | equalish(X0,X1) ) ).

cnf(u3287,negated_conjecture,
    ( ~ product(e_3,e_1,X0)
    | ~ product(e_5,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X2,e_1) ) ).

cnf(u3276,negated_conjecture,
    ( ~ product(e_4,e_3,X0)
    | equalish(X0,e_2) ) ).

cnf(u3291,negated_conjecture,
    ( ~ product(e_5,X0,e_2)
    | equalish(X0,e_1) ) ).

cnf(u3779,axiom,
    ~ greater(e_1,e_1) ).

cnf(u3280,negated_conjecture,
    ( ~ product(e_3,e_2,X0)
    | ~ product(e_4,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X2,e_2) ) ).

cnf(u3431,negated_conjecture,
    ( ~ product(e_5,X0,X1)
    | ~ product(X0,X1,e_1)
    | equalish(X0,e_2) ) ).

cnf(u3956,axiom,
    ( ~ cycle(e_3,X0)
    | ~ next(X0,X1)
    | equalish(e_3,X1) ) ).

cnf(u3386,negated_conjecture,
    ( ~ product(e_1,X0,X1)
    | ~ product(X0,X1,e_2)
    | equalish(X0,e_3) ) ).

cnf(u3954,axiom,
    ( ~ next(e_2,X0)
    | equalish(e_3,X0) ) ).

cnf(u3664,axiom,
    ( ~ cycle(X2,e_3)
    | ~ next(X2,X0)
    | ~ cycle(X0,X1)
    | ~ next(X1,X3)
    | equalish(e_3,X3) ) ).

cnf(u3158,negated_conjecture,
    ( ~ product(e_3,X0,X1)
    | ~ product(X0,X1,e_5)
    | equalish(X1,e_4) ) ).

cnf(u3438,negated_conjecture,
    ( ~ product(e_2,X0,X1)
    | ~ product(X0,X1,e_3)
    | equalish(X0,e_5) ) ).

cnf(u3442,negated_conjecture,
    ( ~ product(e_4,X0,X1)
    | ~ product(X0,X1,e_5)
    | equalish(X1,e_2) ) ).

cnf(u3605,negated_conjecture,
    ~ product(e_4,e_4,e_3) ).

cnf(e_5_greater_e_4,axiom,
    greater(e_5,e_4) ).

cnf(u3176,negated_conjecture,
    ( ~ product(e_3,e_4,X0)
    | ~ product(e_1,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X1,e_3) ) ).

cnf(u1916,axiom,
    ( ~ group_element(X0)
    | cycle(X0,e_1)
    | cycle(X0,e_2)
    | cycle(X0,e_3)
    | cycle(X0,e_4)
    | ~ product(X0,e_1,X1)
    | ~ greater(X1,X0) ) ).

cnf(u1914,axiom,
    ( ~ cycle(e_5,X0)
    | equalish(X0,e_0) ) ).

cnf(e_5_greater_e_0,axiom,
    greater(e_5,e_0) ).

cnf(e_1_is_not_e_2,axiom,
    ~ equalish(e_1,e_2) ).

cnf(e_4_is_not_e_5,axiom,
    ~ equalish(e_4,e_5) ).

cnf(e_3_greater_e_0,axiom,
    greater(e_3,e_0) ).

cnf(u3221,axiom,
    ( ~ product(e_1,X0,e_2)
    | equalish(X0,e_5) ) ).

cnf(e_2_is_not_e_4,axiom,
    ~ equalish(e_2,e_4) ).

cnf(u3222,axiom,
    ( ~ product(X0,e_5,e_2)
    | equalish(X0,e_1) ) ).

cnf(e_2_is_not_e_1,axiom,
    ~ equalish(e_2,e_1) ).

cnf(u3245,negated_conjecture,
    ( ~ product(e_2,e_5,X0)
    | ~ product(e_3,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X2,e_5) ) ).

cnf(u3376,negated_conjecture,
    ~ product(e_3,e_3,e_1) ).

cnf(u3369,negated_conjecture,
    ( ~ product(e_2,X0,X1)
    | ~ product(X0,X1,e_3)
    | equalish(X1,e_4) ) ).

cnf(u3878,axiom,
    ( ~ next(e_4,X0)
    | equalish(e_5,X0) ) ).

cnf(u3236,axiom,
    ( ~ product(X0,e_5,e_4)
    | equalish(X0,e_2) ) ).

cnf(product_total_function2,axiom,
    ( ~ product(X0,X1,X3)
    | ~ product(X0,X1,X2)
    | equalish(X2,X3) ) ).

cnf(u3389,negated_conjecture,
    ( ~ product(e_5,X0,X1)
    | ~ product(X0,X1,e_1)
    | equalish(X1,e_4) ) ).

cnf(u3504,negated_conjecture,
    ~ product(e_1,e_1,e_3) ).

cnf(u3497,negated_conjecture,
    ( ~ product(e_5,X0,X1)
    | ~ product(X0,X1,e_4)
    | equalish(X0,e_3) ) ).

cnf(u3251,negated_conjecture,
    ( ~ product(e_4,e_2,X0)
    | ~ product(e_3,X1,X2)
    | ~ product(X1,X2,X0)
    | equalish(X1,e_4) ) ).

cnf(u3641,negated_conjecture,
    ~ product(e_3,e_3,e_5) ).

cnf(u3271,negated_conjecture,
    ( ~ product(X0,e_2,e_1)
    | equalish(X0,e_4) ) ).

cnf(u67,negated_conjecture,
    ( ~ product(X1,X2,X0)
    | ~ product(X0,X1,X2)
    | equalish(X2,X0) ) ).

cnf(u3521,negated_conjecture,
    ~ product(e_2,e_2,e_3) ).

cnf(u3264,axiom,
    ( ~ product(X0,e_4,e_3)
    | equalish(X0,e_5) ) ).

cnf(u3940,axiom,
    ( ~ next(e_2,X0)
    | ~ cycle(X0,X1)
    | ~ next(X1,X2)
    | equalish(e_3,X2) ) ).

cnf(u3665,axiom,
    ( ~ cycle(X2,e_4)
    | ~ next(X2,X0)
    | ~ cycle(X0,X1)
    | ~ next(X1,X3)
    | equalish(e_4,X3) ) ).

cnf(u3426,negated_conjecture,
    ( ~ product(e_2,X0,X1)
    | ~ product(X0,X1,e_5)
    | equalish(X1,e_1) ) ).

cnf(e_3_then_e_4,axiom,
    next(e_3,e_4) ).

cnf(u3397,negated_conjecture,
    ( ~ product(e_3,X0,X1)
    | ~ product(X0,X1,e_4)
    | equalish(X0,e_2) ) ).

cnf(u2022,negated_conjecture,
    ~ product(e_3,e_3,e_2) ).

cnf(u3205,axiom,
    ( ~ product(X0,e_1,e_5)
    | equalish(X0,e_4) ) ).

cnf(cycle3,axiom,
    cycle(e_5,e_0) ).


%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03  % Problem  : GRP124-3.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06  % Command  : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40  % Computer : n016.cluster.edu
% 0.13/0.40  % Model    : x86_64 x86_64
% 0.13/0.40  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40  % Memory   : 8046.5625MB
% 0.13/0.40  % OS       : Linux 6.8.0-71-generic
% 0.13/0.41  % CPULimit : 300
% 0.13/0.41  % WCLimit  : 300
% 0.13/0.41  % DateTime : Sun Sep 27 09:26:02 UTC 2026
% 0.13/0.41  % CPUTime  : 
% 0.13/0.41  Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.43  Running first-order theorem proving
% 0.13/0.43  Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.63/2.04  % (2358361)Input is clausal, will run a generic CNF schedule.
% 8.63/2.04  % (2358367)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2987420660:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.63/2.04  % (2358371)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2876422945:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.63/2.04  % (2358370)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=3532207276:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.63/2.04  % (2358372)dis-21_1_sil=8000:lcm=predicate:random_seed=596594100:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 8.63/2.04  % (2358366)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=2516454247:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.63/2.04  % (2358368)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3644591966:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.63/2.04  % (2358369)lrs+10_1_sil=8000:sp=occurrence:random_seed=1382966885:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.63/2.04  % (2358369)Refutation not found, incomplete strategy
% 8.63/2.04  % (2358369)------------------------------
% 8.63/2.04  % (2358369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.04  % (2358369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.04  % (2358369)CaDiCaL version: 2.1.3
% 8.63/2.04  % (2358369)Termination reason: Refutation not found, incomplete strategy
% 8.63/2.04  % (2358369)Time elapsed: 0.0000 s
% 8.63/2.04  % (2358369)Peak memory usage: 86 MB
% 8.63/2.04  % (2358370)Instruction limit reached! 
% 8.63/2.04  % (2358370)------------------------------
% 8.63/2.04  % (2358370)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.04  % (2358370)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.04  % (2358370)CaDiCaL version: 2.1.3
% 8.63/2.04  % (2358370)Termination reason: Instruction limit
% 8.63/2.04  % (2358370)Termination phase: Saturation
% 8.63/2.04  % (2358370)Time elapsed: 0.061 s
% 8.63/2.04  % (2358370)Peak memory usage: 88 MB
% 8.63/2.04  % (2358370)Instructions burned: 114 (million)
% 8.63/2.04  % (2358372)Instruction limit reached! 
% 8.63/2.04  % (2358372)------------------------------
% 8.63/2.04  % (2358372)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.04  % (2358372)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.04  % (2358372)CaDiCaL version: 2.1.3
% 8.63/2.04  % (2358372)Termination reason: Instruction limit
% 8.63/2.04  % (2358372)Termination phase: Saturation
% 8.63/2.04  % (2358372)Time elapsed: 0.070 s
% 8.63/2.04  % (2358372)Peak memory usage: 89 MB
% 8.63/2.04  % (2358372)Instructions burned: 117 (million)
% 8.63/2.04  % (2358371)Refutation not found, incomplete strategy
% 8.63/2.04  % (2358371)------------------------------
% 8.63/2.04  % (2358371)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.04  % (2358371)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.04  % (2358371)CaDiCaL version: 2.1.3
% 8.63/2.04  % (2358371)Termination reason: Refutation not found, incomplete strategy
% 8.63/2.04  % (2358371)Time elapsed: 0.092 s
% 8.63/2.04  % (2358371)Peak memory usage: 89 MB
% 8.63/2.04  % (2358371)Instructions burned: 147 (million)
% 8.63/2.04  % (2358380)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=2027180012:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.63/2.04  % (2358381)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2726005116:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 8.63/2.04  % (2358381)Refutation not found, incomplete strategy
% 8.63/2.04  % (2358381)------------------------------
% 8.63/2.04  % (2358381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.63/2.04  % (2358381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.63/2.04  % (2358381)CaDiCaL version: 2.1.3
% 8.63/2.04  % (2358381)Termination reason: Refutation not found, incomplete strategy
% 12.57/2.84  % (2358381)Time elapsed: 0.003 s
% 12.57/2.84  % (2358381)Peak memory usage: 87 MB
% 12.57/2.84  % (2358381)Instructions burned: 4 (million)
% 12.57/2.84  % (2358369)------------------------------
% 12.57/2.84  % (2358369)------------------------------
% 12.57/2.84  % (2358380)Instruction limit reached! 
% 12.57/2.84  % (2358380)------------------------------
% 12.57/2.84  % (2358380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.57/2.84  % (2358380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.84  % (2358380)CaDiCaL version: 2.1.3
% 12.57/2.84  % (2358380)Termination reason: Instruction limit
% 12.57/2.84  % (2358380)Termination phase: Saturation
% 12.57/2.84  % (2358380)Time elapsed: 0.075 s
% 12.57/2.84  % (2358380)Peak memory usage: 88 MB
% 12.57/2.84  % (2358380)Instructions burned: 145 (million)
% 12.57/2.84  % (2358371)------------------------------
% 12.57/2.84  % (2358371)------------------------------
% 12.57/2.84  % (2358384)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1069995277:st=4:i=219:sd=3:ss=axioms_2996 on theBenchmark for (2996ds/219Mi)
% 12.57/2.84  % (2358367)Refutation not found, incomplete strategy
% 12.57/2.84  % (2358367)------------------------------
% 12.57/2.84  % (2358367)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.57/2.84  % (2358367)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.84  % (2358367)CaDiCaL version: 2.1.3
% 12.57/2.84  % (2358367)Termination reason: Refutation not found, incomplete strategy
% 12.57/2.84  % (2358367)Time elapsed: 0.398 s
% 12.57/2.84  % (2358367)Peak memory usage: 128 MB
% 12.57/2.84  % (2358367)Instructions burned: 942 (million)
% 12.57/2.84  % (2358385)lrs+10_64_to=lpo:sil=8000:random_seed=3957651487:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 12.57/2.84  % (2358384)Instruction limit reached! 
% 12.57/2.84  % (2358384)------------------------------
% 12.57/2.84  % (2358384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.57/2.84  % (2358384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.84  % (2358384)CaDiCaL version: 2.1.3
% 12.57/2.84  % (2358384)Termination reason: Instruction limit
% 12.57/2.84  % (2358384)Termination phase: Saturation
% 12.57/2.84  % (2358384)Time elapsed: 0.059 s
% 12.57/2.84  % (2358384)Peak memory usage: 88 MB
% 12.57/2.84  % (2358384)Instructions burned: 220 (million)
% 12.57/2.84  % (2358381)------------------------------
% 12.57/2.84  % (2358381)------------------------------
% 12.57/2.84  % (2358386)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2054839209:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 12.57/2.84  % (2358385)Instruction limit reached! 
% 12.57/2.84  % (2358385)------------------------------
% 12.57/2.84  % (2358385)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.57/2.84  % (2358385)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.84  % (2358385)CaDiCaL version: 2.1.3
% 12.57/2.84  % (2358385)Termination reason: Instruction limit
% 12.57/2.84  % (2358385)Termination phase: Saturation
% 12.57/2.84  % (2358385)Time elapsed: 0.079 s
% 12.57/2.84  % (2358385)Peak memory usage: 88 MB
% 12.57/2.84  % (2358385)Instructions burned: 127 (million)
% 12.57/2.84  % (2358389)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=199620922:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 12.57/2.84  % (2358389)Instruction limit reached! 
% 12.57/2.84  % (2358389)------------------------------
% 12.57/2.84  % (2358389)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.57/2.84  % (2358389)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.84  % (2358389)CaDiCaL version: 2.1.3
% 12.57/2.84  % (2358389)Termination reason: Instruction limit
% 12.57/2.84  % (2358389)Termination phase: Saturation
% 12.57/2.84  % (2358389)Time elapsed: 0.047 s
% 12.57/2.84  % (2358389)Peak memory usage: 89 MB
% 12.57/2.84  % (2358389)Instructions burned: 158 (million)
% 12.57/2.84  % (2358386)Instruction limit reached! 
% 12.57/2.84  % (2358386)------------------------------
% 12.57/2.84  % (2358386)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.57/2.84  % (2358386)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.57/2.84  % (2358386)CaDiCaL version: 2.1.3
% 12.57/2.84  % (2358386)Termination reason: Instruction limit
% 12.57/2.84  % (2358386)Termination phase: Saturation
% 12.57/2.84  % (2358386)Time elapsed: 0.110 s
% 12.57/2.84  % (2358386)Peak memory usage: 88 MB
% 12.57/2.84  % (2358386)Instructions burned: 194 (million)
% 12.57/2.84  % (2358391)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2429220505:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 23.84/4.24  % (2358392)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=2829257614:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 23.84/4.24  % (2358367)------------------------------
% 23.84/4.24  % (2358367)------------------------------
% 23.84/4.24  % (2358392)Refutation not found, incomplete strategy
% 23.84/4.24  % (2358392)------------------------------
% 23.84/4.24  % (2358392)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.84/4.24  % (2358392)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.84/4.24  % (2358392)CaDiCaL version: 2.1.3
% 23.84/4.24  % (2358392)Termination reason: Refutation not found, incomplete strategy
% 23.84/4.24  % (2358392)Time elapsed: 0.007 s
% 23.84/4.24  % (2358392)Peak memory usage: 88 MB
% 23.84/4.24  % (2358392)Instructions burned: 11 (million)
% 23.84/4.24  % (2358394)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3805100666:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 23.84/4.24  % (2358394)Instruction limit reached! 
% 23.84/4.24  % (2358394)------------------------------
% 23.84/4.24  % (2358394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.84/4.24  % (2358394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.84/4.24  % (2358394)CaDiCaL version: 2.1.3
% 23.84/4.24  % (2358394)Termination reason: Instruction limit
% 23.84/4.24  % (2358394)Termination phase: Saturation
% 23.84/4.24  % (2358394)Time elapsed: 0.030 s
% 23.84/4.24  % (2358394)Peak memory usage: 88 MB
% 23.84/4.24  % (2358394)Instructions burned: 110 (million)
% 23.84/4.24  % (2358395)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1324634214:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 23.84/4.24  % (2358398)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=840348365:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 23.84/4.24  % (2358400)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1545450190:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 23.84/4.24  % (2358400)Instruction limit reached! 
% 23.84/4.24  % (2358400)------------------------------
% 23.84/4.24  % (2358400)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.84/4.24  % (2358400)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.84/4.24  % (2358400)CaDiCaL version: 2.1.3
% 23.84/4.24  % (2358400)Termination reason: Instruction limit
% 23.84/4.24  % (2358400)Termination phase: Saturation
% 23.84/4.24  % (2358400)Time elapsed: 0.043 s
% 23.84/4.24  % (2358400)Peak memory usage: 89 MB
% 23.84/4.24  % (2358400)Instructions burned: 137 (million)
% 23.84/4.24  % (2358395)Instruction limit reached! 
% 23.84/4.24  % (2358395)------------------------------
% 23.84/4.24  % (2358395)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.84/4.24  % (2358395)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.84/4.24  % (2358395)CaDiCaL version: 2.1.3
% 23.84/4.24  % (2358395)Termination reason: Instruction limit
% 23.84/4.24  % (2358395)Termination phase: Saturation
% 23.84/4.24  % (2358395)Time elapsed: 0.135 s
% 23.84/4.24  % (2358395)Peak memory usage: 88 MB
% 23.84/4.24  % (2358395)Instructions burned: 242 (million)
% 23.84/4.24  % (2358392)------------------------------
% 23.84/4.24  % (2358392)------------------------------
% 23.84/4.24  % (2358404)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=2861862996:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 23.84/4.24  % (2358405)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1485698747:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 23.84/4.24  % (2358406)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3100793223:i=264:kws=precedence:fsr=off_2990 on theBenchmark for (2990ds/264Mi)
% 23.84/4.24  % (2358404)Instruction limit reached! 
% 23.84/4.24  % (2358404)------------------------------
% 23.84/4.24  % (2358404)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.84/4.24  % (2358404)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.82/5.59  % (2358404)CaDiCaL version: 2.1.3
% 32.82/5.59  % (2358404)Termination reason: Instruction limit
% 32.82/5.59  % (2358404)Termination phase: Saturation
% 32.82/5.59  % (2358404)Time elapsed: 0.138 s
% 32.82/5.59  % (2358404)Peak memory usage: 90 MB
% 32.82/5.59  % (2358404)Instructions burned: 502 (million)
% 32.82/5.59  % (2358405)Instruction limit reached! 
% 32.82/5.59  % (2358405)------------------------------
% 32.82/5.59  % (2358405)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.82/5.59  % (2358405)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.82/5.59  % (2358405)CaDiCaL version: 2.1.3
% 32.82/5.59  % (2358405)Termination reason: Instruction limit
% 32.82/5.59  % (2358405)Termination phase: Saturation
% 32.82/5.59  % (2358405)Time elapsed: 0.109 s
% 32.82/5.59  % (2358405)Peak memory usage: 88 MB
% 32.82/5.59  % (2358405)Instructions burned: 192 (million)
% 32.82/5.59  % (2358406)Instruction limit reached! 
% 32.82/5.59  % (2358406)------------------------------
% 32.82/5.59  % (2358406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.82/5.59  % (2358406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.82/5.59  % (2358406)CaDiCaL version: 2.1.3
% 32.82/5.59  % (2358406)Termination reason: Instruction limit
% 32.82/5.59  % (2358406)Termination phase: Saturation
% 32.82/5.59  % (2358406)Time elapsed: 0.140 s
% 32.82/5.59  % (2358406)Peak memory usage: 90 MB
% 32.82/5.59  % (2358406)Instructions burned: 265 (million)
% 32.82/5.59  % (2358410)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=4914628:cond=on:i=156:bs=on:gtg=exists_all:er=known_2988 on theBenchmark for (2988ds/156Mi)
% 32.82/5.59  % (2358410)Instruction limit reached! 
% 32.82/5.59  % (2358410)------------------------------
% 32.82/5.59  % (2358410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.82/5.59  % (2358410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.82/5.59  % (2358410)CaDiCaL version: 2.1.3
% 32.82/5.59  % (2358410)Termination reason: Instruction limit
% 32.82/5.59  % (2358410)Termination phase: Saturation
% 32.82/5.59  % (2358410)Time elapsed: 0.047 s
% 32.82/5.59  % (2358410)Peak memory usage: 89 MB
% 32.82/5.59  % (2358410)Instructions burned: 159 (million)
% 32.82/5.59  % (2358411)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=1222261775:i=3256:kws=precedence:bd=preordered:av=off_2987 on theBenchmark for (2987ds/3256Mi)
% 32.82/5.59  % (2358413)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1646730461:i=537:av=off:ss=included_2987 on theBenchmark for (2987ds/537Mi)
% 32.82/5.59  % (2358414)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=460852697:i=180:bd=preordered:av=off_2986 on theBenchmark for (2986ds/180Mi)
% 32.82/5.59  % (2358414)Instruction limit reached! 
% 32.82/5.59  % (2358414)------------------------------
% 32.82/5.59  % (2358414)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.82/5.59  % (2358414)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.82/5.59  % (2358414)CaDiCaL version: 2.1.3
% 32.82/5.59  % (2358414)Termination reason: Instruction limit
% 32.82/5.59  % (2358414)Termination phase: Saturation
% 32.82/5.59  % (2358414)Time elapsed: 0.051 s
% 32.82/5.59  % (2358414)Peak memory usage: 87 MB
% 32.82/5.59  % (2358414)Instructions burned: 180 (million)
% 32.82/5.59  % (2358418)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=2740894351:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2985 on theBenchmark for (2985ds/10307Mi)
% 32.82/5.59  % (2358413)Instruction limit reached! 
% 32.82/5.59  % (2358413)------------------------------
% 32.82/5.59  % (2358413)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 32.82/5.59  % (2358413)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 32.82/5.59  % (2358413)CaDiCaL version: 2.1.3
% 32.82/5.59  % (2358413)Termination reason: Instruction limit
% 32.82/5.59  % (2358413)Termination phase: Saturation
% 32.82/5.59  % (2358413)Time elapsed: 0.260 s
% 32.82/5.59  % (2358413)Peak memory usage: 88 MB
% 32.82/5.59  % (2358413)Instructions burned: 538 (million)
% 32.82/5.59  % (2358420)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=2739598165:i=412:gtgl=4:gtg=exists_all_2983 on theBenchmark for (2983ds/412Mi)
% 32.82/5.59  % (2358420)Instruction limit reached! 
% 44.01/7.04  % (2358420)------------------------------
% 44.01/7.04  % (2358420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.01/7.04  % (2358420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.01/7.04  % (2358420)CaDiCaL version: 2.1.3
% 44.01/7.04  % (2358420)Termination reason: Instruction limit
% 44.01/7.04  % (2358420)Termination phase: Saturation
% 44.01/7.04  % (2358420)Time elapsed: 0.196 s
% 44.01/7.04  % (2358420)Peak memory usage: 90 MB
% 44.01/7.04  % (2358420)Instructions burned: 413 (million)
% 44.01/7.04  % (2358422)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=1421855513:s2pl=no:i=8478:s2at=4:nm=6_2980 on theBenchmark for (2980ds/8478Mi)
% 44.01/7.04  % (2358422)Refutation not found, incomplete strategy
% 44.01/7.04  % (2358422)------------------------------
% 44.01/7.04  % (2358422)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.01/7.04  % (2358422)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.01/7.04  % (2358422)CaDiCaL version: 2.1.3
% 44.01/7.04  % (2358422)Termination reason: Refutation not found, incomplete strategy
% 44.01/7.04  % (2358422)Time elapsed: 0.612 s
% 44.01/7.04  % (2358422)Peak memory usage: 128 MB
% 44.01/7.04  % (2358422)Instructions burned: 942 (million)
% 44.01/7.04  % (2358391)Instruction limit reached! 
% 44.01/7.04  % (2358391)------------------------------
% 44.01/7.04  % (2358391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.01/7.04  % (2358391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.01/7.04  % (2358391)CaDiCaL version: 2.1.3
% 44.01/7.04  % (2358391)Termination reason: Instruction limit
% 44.01/7.04  % (2358391)Termination phase: Saturation
% 44.01/7.04  % (2358391)Time elapsed: 2.186 s
% 44.01/7.04  % (2358391)Peak memory usage: 139 MB
% 44.01/7.04  % (2358391)Instructions burned: 3395 (million)
% 44.01/7.04  % (2358422)------------------------------
% 44.01/7.04  % (2358422)------------------------------
% 44.01/7.04  % (2358424)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=4044265259:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2970 on theBenchmark for (2970ds/303Mi)
% 44.01/7.04  % (2358425)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=3106488061:st=4:i=720:sd=3:fsr=off:ss=axioms_2970 on theBenchmark for (2970ds/720Mi)
% 44.01/7.04  % (2358425)Refutation not found, incomplete strategy
% 44.01/7.04  % (2358425)------------------------------
% 44.01/7.04  % (2358425)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.01/7.04  % (2358425)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.01/7.04  % (2358425)CaDiCaL version: 2.1.3
% 44.01/7.04  % (2358425)Termination reason: Refutation not found, incomplete strategy
% 44.01/7.04  % (2358425)Time elapsed: 0.002 s
% 44.01/7.04  % (2358425)Peak memory usage: 88 MB
% 44.01/7.04  % (2358425)Instructions burned: 2 (million)
% 44.01/7.04  % (2358424)Instruction limit reached! 
% 44.01/7.04  % (2358424)------------------------------
% 44.01/7.04  % (2358424)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.01/7.04  % (2358424)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.01/7.04  % (2358424)CaDiCaL version: 2.1.3
% 44.01/7.04  % (2358424)Termination reason: Instruction limit
% 44.01/7.04  % (2358424)Termination phase: Saturation
% 44.01/7.04  % (2358424)Time elapsed: 0.168 s
% 44.01/7.04  % (2358424)Peak memory usage: 90 MB
% 44.01/7.04  % (2358424)Instructions burned: 304 (million)
% 44.01/7.04  % (2358425)------------------------------
% 44.01/7.04  % (2358425)------------------------------
% 44.01/7.04  % (2358428)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=2132804903:i=598:bs=on:bd=preordered:av=off:ss=axioms_2967 on theBenchmark for (2967ds/598Mi)
% 44.01/7.04  % (2358428)Refutation not found, incomplete strategy
% 44.01/7.04  % (2358428)------------------------------
% 44.01/7.04  % (2358428)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 44.01/7.04  % (2358428)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 44.01/7.04  % (2358428)CaDiCaL version: 2.1.3
% 44.01/7.04  % (2358428)Termination reason: Refutation not found, incomplete strategy
% 44.01/7.04  % (2358428)Time elapsed: 0.0000 s
% 44.01/7.04  % (2358428)Peak memory usage: 86 MB
% 44.01/7.04  % (2358411)Instruction limit reached! 
% 43.59/7.16  % (2358411)------------------------------
% 43.59/7.16  % (2358411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.59/7.16  % (2358411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.59/7.16  % (2358411)CaDiCaL version: 2.1.3
% 43.59/7.16  % (2358411)Termination reason: Instruction limit
% 43.59/7.16  % (2358411)Termination phase: Saturation
% 43.59/7.16  % (2358411)Time elapsed: 2.028 s
% 43.59/7.16  % (2358411)Peak memory usage: 138 MB
% 43.59/7.16  % (2358411)Instructions burned: 3257 (million)
% 43.59/7.16  % (2358429)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=2128263642:i=2989:sd=3:ss=axioms:sgt=60_2966 on theBenchmark for (2966ds/2989Mi)
% 43.59/7.16  % (2358431)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=1762422568:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2966 on theBenchmark for (2966ds/1997Mi)
% 43.59/7.16  % (2358428)------------------------------
% 43.59/7.16  % (2358428)------------------------------
% 43.59/7.16  % (2358434)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:drc=off:sp=unary_frequency:urr=ec_only:fd=preordered:random_seed=1788694421:i=2088:bd=preordered:av=off_2964 on theBenchmark for (2964ds/2088Mi)
% 43.59/7.16  % (2358398)Instruction limit reached! 
% 43.59/7.16  % (2358398)------------------------------
% 43.59/7.16  % (2358398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.59/7.16  % (2358398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.59/7.16  % (2358398)CaDiCaL version: 2.1.3
% 43.59/7.16  % (2358398)Termination reason: Instruction limit
% 43.59/7.16  % (2358398)Termination phase: Saturation
% 43.59/7.16  % (2358398)Time elapsed: 2.863 s
% 43.59/7.16  % (2358398)Peak memory usage: 139 MB
% 43.59/7.16  % (2358398)Instructions burned: 5209 (million)
% 43.59/7.16  % (2358436)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=1306024549:i=1098:nicw=on_2962 on theBenchmark for (2962ds/1098Mi)
% 43.59/7.16  % (2358418)Instruction limit reached! 
% 43.59/7.16  % (2358418)------------------------------
% 43.59/7.16  % (2358418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.59/7.16  % (2358418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.59/7.16  % (2358418)CaDiCaL version: 2.1.3
% 43.59/7.16  % (2358418)Termination reason: Instruction limit
% 43.59/7.16  % (2358418)Termination phase: Saturation
% 43.59/7.16  % (2358418)Time elapsed: 2.892 s
% 43.59/7.16  % (2358418)Peak memory usage: 145 MB
% 43.59/7.16  % (2358418)Instructions burned: 10316 (million)
% 43.59/7.16  % (2358436)Instruction limit reached! 
% 43.59/7.16  % (2358436)------------------------------
% 43.59/7.16  % (2358436)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.59/7.16  % (2358436)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.59/7.16  % (2358436)CaDiCaL version: 2.1.3
% 43.59/7.16  % (2358436)Termination reason: Instruction limit
% 43.59/7.16  % (2358436)Termination phase: Saturation
% 43.59/7.16  % (2358436)Time elapsed: 0.589 s
% 43.59/7.16  % (2358436)Peak memory usage: 92 MB
% 43.59/7.16  % (2358436)Instructions burned: 1099 (million)
% 43.59/7.16  % (2358438)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=3894415619:i=433:bd=preordered_2955 on theBenchmark for (2955ds/433Mi)
% 43.59/7.16  % (2358439)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=1396403494:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2955 on theBenchmark for (2955ds/2942Mi)
% 43.59/7.16  % (2358438)Instruction limit reached! 
% 43.59/7.16  % (2358438)------------------------------
% 43.59/7.16  % (2358438)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.59/7.16  % (2358438)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.59/7.16  % (2358438)CaDiCaL version: 2.1.3
% 43.59/7.16  % (2358438)Termination reason: Instruction limit
% 43.59/7.16  % (2358438)Termination phase: Saturation
% 43.59/7.16  % (2358438)Time elapsed: 0.118 s
% 43.59/7.16  % (2358438)Peak memory usage: 89 MB
% 43.59/7.16  % (2358438)Instructions burned: 433 (million)
% 43.59/7.16  % (2358442)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=2565861782:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2953 on theBenchmark for (2953ds/6922Mi)
% 43.59/7.16  % (2358431)Instruction limit reached! 
% 43.59/7.16  % (2358431)------------------------------
% 43.59/7.16  % (2358431)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.59/7.16  % (2358431)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.59/7.16  % (2358431)CaDiCaL version: 2.1.3
% 43.59/7.16  % (2358431)Termination reason: Instruction limit
% 43.59/7.16  % (2358431)Termination phase: Saturation
% 43.59/7.16  % (2358431)Time elapsed: 1.376 s
% 43.59/7.16  % (2358431)Peak memory usage: 134 MB
% 43.59/7.16  % (2358431)Instructions burned: 1998 (million)
% 43.59/7.16  % (2358444)dis+10_5:1_sil=8000:tgt=full:plsq=on:plsqc=1:plsqr=32,1:urr=on:fd=off:nwc=0.5:br=off:slsqc=3:slsq=on:random_seed=3434550266:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2951 on theBenchmark for (2951ds/596Mi)
% 43.59/7.16  % (2358444)Refutation not found, incomplete strategy
% 43.59/7.16  % (2358444)------------------------------
% 43.59/7.16  % (2358444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.59/7.16  % (2358444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.59/7.16  % (2358444)CaDiCaL version: 2.1.3
% 43.59/7.16  % (2358444)Termination reason: Refutation not found, incomplete strategy
% 43.59/7.16  % (2358444)Time elapsed: 0.006 s
% 43.59/7.16  % (2358444)Peak memory usage: 88 MB
% 43.59/7.16  % (2358444)Instructions burned: 10 (million)
% 43.59/7.16  % (2358434)Instruction limit reached! 
% 43.59/7.16  % (2358434)------------------------------
% 43.59/7.16  % (2358434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.59/7.16  % (2358434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.59/7.16  % (2358434)CaDiCaL version: 2.1.3
% 43.59/7.16  % (2358434)Termination reason: Instruction limit
% 43.59/7.16  % (2358434)Termination phase: Saturation
% 43.59/7.16  % (2358434)Time elapsed: 1.329 s
% 43.59/7.16  % (2358434)Peak memory usage: 134 MB
% 43.59/7.16  % (2358434)Instructions burned: 2089 (million)
% 43.59/7.16  % (2358442)Refutation not found, incomplete strategy
% 43.59/7.16  % (2358442)------------------------------
% 43.59/7.16  % (2358442)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.59/7.16  % (2358442)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.59/7.16  % (2358442)CaDiCaL version: 2.1.3
% 43.59/7.16  % (2358442)Termination reason: Refutation not found, incomplete strategy
% 43.59/7.16  % (2358442)Time elapsed: 0.353 s
% 43.59/7.16  % (2358442)Peak memory usage: 128 MB
% 43.59/7.16  % (2358442)Instructions burned: 944 (million)
% 43.59/7.16  % (2358446)lrs+21_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=non_intro:urr=on:fd=preordered:random_seed=962423894:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2949 on theBenchmark for (2949ds/4123Mi)
% 43.59/7.16  % (2358442)------------------------------
% 43.59/7.16  % (2358442)------------------------------
% 43.59/7.16  % (2358429)Instruction limit reached! 
% 43.59/7.16  % (2358429)------------------------------
% 43.59/7.16  % (2358429)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.59/7.16  % (2358429)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.59/7.16  % (2358429)CaDiCaL version: 2.1.3
% 43.59/7.16  % (2358429)Termination reason: Instruction limit
% 43.59/7.16  % (2358429)Termination phase: Saturation
% 43.59/7.16  % (2358429)Time elapsed: 1.812 s
% 43.59/7.16  % (2358429)Peak memory usage: 138 MB
% 43.59/7.16  % (2358429)Instructions burned: 2989 (million)
% 43.59/7.16  % (2358444)------------------------------
% 43.59/7.16  % (2358444)------------------------------
% 43.59/7.16  % (2358448)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2038926527:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2947 on theBenchmark for (2947ds/16411Mi)
% 43.59/7.16  % (2358449)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=1423790850:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2947 on theBenchmark for (2947ds/1670Mi)
% 43.59/7.16  % (2358450)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:prc=on:drc=off:fde=unused:sp=reverse_frequency:updr=off:random_seed=1918545497:st=3:cond=fast:i=1722:sd=2:ss=included:fsd=on_2947 on theBenchmark for (2947ds/1722Mi)
% 43.59/7.16  % (2358448)First to succeed.
% 43.59/7.16  % (2358448)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2358361"
% 43.59/7.16  % (2358449)Instruction limit reached! 
% 43.59/7.16  % (2358449)------------------------------
% 43.59/7.16  % (2358449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.59/7.16  % (2358449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.59/7.16  % (2358449)CaDiCaL version: 2.1.3
% 43.59/7.16  % (2358449)Termination reason: Instruction limit
% 43.59/7.16  % (2358449)Termination phase: Saturation
% 43.59/7.16  % (2358449)Time elapsed: 0.797 s
% 43.59/7.16  % (2358449)Peak memory usage: 135 MB
% 43.59/7.16  % (2358449)Instructions burned: 1671 (million)
% 43.59/7.16  % (2358454)ott-1004_1_anc=all_dependent:to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:sas=cadical:sp=const_frequency:acc=on:urr=ec_only:gs=on:s2agt=40:alpa=false:sac=on:random_seed=2629854919:cts=off:cond=on:i=9530:bs=on:fsd=on_2938 on theBenchmark for (2938ds/9530Mi)
% 43.59/7.16  % SZS status Satisfiable for theBenchmark
% 43.59/7.16  % SZS output start Saturation.
% See solution above
% 45.07/7.36  % SZS output start Definitions and Model Updates.
% 45.07/7.36  % SZS output end Definitions and Model Updates.
% 45.07/7.36  % (2358448)------------------------------
% 45.07/7.36  % (2358448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.07/7.36  % (2358448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.07/7.36  % (2358448)CaDiCaL version: 2.1.3
% 45.07/7.36  % (2358448)Termination reason: Satisfiable
% 45.07/7.36  % (2358448)Time elapsed: 0.724 s
% 45.07/7.36  % (2358448)Peak memory usage: 131 MB
% 45.07/7.36  % (2358448)Instructions burned: 1369 (million)
% 45.07/7.36  % (2358448)------------------------------
% 45.07/7.36  % (2358448)------------------------------
% 45.07/7.36  % (2358361)Success in time 6.29 s
% 45.07/7.36  % Vampire exiting
%------------------------------------------------------------------------------