%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP124-4.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 5.17s 1.58s
% Output : Saturation 6.78s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u57,axiom,
~ product(e_5,e_5,e_1) ).
cnf(u62,axiom,
product(e_4,e_5,e_1) ).
cnf(u65,axiom,
~ product(e_3,e_5,e_1) ).
cnf(u69,axiom,
~ product(e_2,e_5,e_1) ).
cnf(u73,axiom,
~ product(e_1,e_5,e_1) ).
cnf(u78,axiom,
~ product(e_5,e_4,e_1) ).
cnf(u82,axiom,
~ product(e_4,e_4,e_1) ).
cnf(u86,axiom,
~ product(e_3,e_4,e_1) ).
cnf(u91,axiom,
product(e_2,e_4,e_1) ).
cnf(u94,axiom,
~ product(e_1,e_4,e_1) ).
cnf(u100,axiom,
product(e_5,e_3,e_1) ).
cnf(u103,axiom,
~ product(e_4,e_3,e_1) ).
cnf(u107,axiom,
~ product(e_3,e_3,e_1) ).
cnf(u111,axiom,
~ product(e_2,e_3,e_1) ).
cnf(u115,axiom,
~ product(e_1,e_3,e_1) ).
cnf(u120,axiom,
~ product(e_5,e_2,e_1) ).
cnf(u124,axiom,
~ product(e_4,e_2,e_1) ).
cnf(u129,axiom,
product(e_3,e_2,e_1) ).
cnf(u132,axiom,
~ product(e_2,e_2,e_1) ).
cnf(u136,axiom,
~ product(e_1,e_2,e_1) ).
cnf(u317,axiom,
~ product(e_5,e_5,e_2) ).
cnf(u321,axiom,
~ product(e_4,e_5,e_2) ).
cnf(u325,axiom,
~ product(e_3,e_5,e_2) ).
cnf(u329,axiom,
~ product(e_2,e_5,e_2) ).
cnf(u334,axiom,
product(e_1,e_5,e_2) ).
cnf(u339,axiom,
product(e_5,e_4,e_2) ).
cnf(u342,axiom,
~ product(e_4,e_4,e_2) ).
cnf(u346,axiom,
~ product(e_3,e_4,e_2) ).
cnf(u350,axiom,
~ product(e_2,e_4,e_2) ).
cnf(u354,axiom,
~ product(e_1,e_4,e_2) ).
cnf(u359,axiom,
~ product(e_5,e_3,e_2) ).
cnf(u364,axiom,
product(e_4,e_3,e_2) ).
cnf(u367,axiom,
~ product(e_3,e_3,e_2) ).
cnf(u371,axiom,
~ product(e_2,e_3,e_2) ).
cnf(u375,axiom,
~ product(e_1,e_3,e_2) ).
cnf(u380,axiom,
~ product(e_5,e_1,e_2) ).
cnf(u384,axiom,
~ product(e_4,e_1,e_2) ).
cnf(u389,axiom,
product(e_3,e_1,e_2) ).
cnf(u392,axiom,
~ product(e_2,e_1,e_2) ).
cnf(u396,axiom,
~ product(e_1,e_1,e_2) ).
cnf(u645,axiom,
~ product(e_5,e_5,e_3) ).
cnf(u649,axiom,
~ product(e_4,e_5,e_3) ).
cnf(u653,axiom,
~ product(e_3,e_5,e_3) ).
cnf(u658,axiom,
product(e_2,e_5,e_3) ).
cnf(u661,axiom,
~ product(e_1,e_5,e_3) ).
cnf(u666,axiom,
~ product(e_5,e_4,e_3) ).
cnf(u670,axiom,
~ product(e_4,e_4,e_3) ).
cnf(u674,axiom,
~ product(e_3,e_4,e_3) ).
cnf(u678,axiom,
~ product(e_2,e_4,e_3) ).
cnf(u683,axiom,
product(e_1,e_4,e_3) ).
cnf(u687,axiom,
~ product(e_5,e_2,e_3) ).
cnf(u692,axiom,
product(e_4,e_2,e_3) ).
cnf(u695,axiom,
~ product(e_3,e_2,e_3) ).
cnf(u699,axiom,
~ product(e_2,e_2,e_3) ).
cnf(u703,axiom,
~ product(e_1,e_2,e_3) ).
cnf(u709,axiom,
product(e_5,e_1,e_3) ).
cnf(u712,axiom,
~ product(e_4,e_1,e_3) ).
cnf(u716,axiom,
~ product(e_3,e_1,e_3) ).
cnf(u720,axiom,
~ product(e_2,e_1,e_3) ).
cnf(u724,axiom,
~ product(e_1,e_1,e_3) ).
cnf(u931,axiom,
~ product(e_5,e_5,e_4) ).
cnf(u935,axiom,
~ product(e_4,e_5,e_4) ).
cnf(u940,axiom,
product(e_3,e_5,e_4) ).
cnf(u943,axiom,
~ product(e_2,e_5,e_4) ).
cnf(u947,axiom,
~ product(e_1,e_5,e_4) ).
cnf(u952,axiom,
~ product(e_5,e_3,e_4) ).
cnf(u956,axiom,
~ product(e_4,e_3,e_4) ).
cnf(u960,axiom,
~ product(e_3,e_3,e_4) ).
cnf(u964,axiom,
~ product(e_2,e_3,e_4) ).
cnf(u969,axiom,
product(e_1,e_3,e_4) ).
cnf(u976,negated_conjecture,
product(e_5,e_2,e_4) ).
cnf(u979,negated_conjecture,
~ product(e_4,e_2,e_4) ).
cnf(u983,negated_conjecture,
~ product(e_2,e_2,e_4) ).
cnf(u987,negated_conjecture,
~ product(e_1,e_2,e_4) ).
cnf(u992,negated_conjecture,
~ product(e_5,e_1,e_4) ).
cnf(u996,negated_conjecture,
~ product(e_4,e_1,e_4) ).
cnf(u1000,negated_conjecture,
~ product(e_3,e_1,e_4) ).
cnf(u1004,negated_conjecture,
~ product(e_1,e_1,e_4) ).
cnf(u1009,axiom,
~ product(e_3,e_2,e_4) ).
cnf(u1015,axiom,
product(e_2,e_1,e_4) ).
cnf(u1237,axiom,
~ product(e_5,e_1,e_5) ).
cnf(u1242,axiom,
product(e_4,e_1,e_5) ).
cnf(u1245,axiom,
~ product(e_3,e_1,e_5) ).
cnf(u1249,axiom,
~ product(e_2,e_1,e_5) ).
cnf(u1253,axiom,
~ product(e_1,e_1,e_5) ).
cnf(u1258,negated_conjecture,
~ product(e_5,e_4,e_5) ).
cnf(u1262,negated_conjecture,
~ product(e_4,e_4,e_5) ).
cnf(u1267,negated_conjecture,
product(e_3,e_4,e_5) ).
cnf(u1270,negated_conjecture,
~ product(e_2,e_4,e_5) ).
cnf(u1275,negated_conjecture,
~ product(e_5,e_3,e_5) ).
cnf(u1279,negated_conjecture,
~ product(e_3,e_3,e_5) ).
cnf(u1284,negated_conjecture,
product(e_2,e_3,e_5) ).
cnf(u1287,negated_conjecture,
~ product(e_1,e_3,e_5) ).
cnf(u1292,negated_conjecture,
~ product(e_5,e_2,e_5) ).
cnf(u1296,negated_conjecture,
~ product(e_4,e_2,e_5) ).
cnf(u1300,negated_conjecture,
~ product(e_2,e_2,e_5) ).
cnf(u1305,negated_conjecture,
product(e_1,e_2,e_5) ).
cnf(u1310,axiom,
~ product(e_1,e_4,e_5) ).
cnf(u1315,axiom,
~ product(e_4,e_3,e_5) ).
cnf(u1320,axiom,
~ product(e_3,e_2,e_5) ).
cnf(u1720,axiom,
~ product(e_2,e_1,e_1) ).
cnf(u1776,axiom,
~ product(e_3,e_2,e_2) ).
cnf(u2061,axiom,
~ product(e_1,e_3,e_3) ).
cnf(u2309,axiom,
~ product(e_2,e_3,e_3) ).
cnf(u2330,negated_conjecture,
~ product(e_1,e_4,e_4) ).
cnf(u2411,negated_conjecture,
~ product(e_2,e_4,e_4) ).
cnf(u2532,axiom,
~ product(e_4,e_3,e_3) ).
cnf(u2850,negated_conjecture,
~ product(e_3,e_1,e_1) ).
cnf(u3815,negated_conjecture,
( ~ product(e_4,e_5,X0)
| ~ product(e_2,e_1,X0) ) ).
cnf(u3546,negated_conjecture,
( ~ product(e_2,e_5,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_5) ) ).
cnf(u3999,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_5)
| equalish(X1,e_1) ) ).
cnf(u3647,negated_conjecture,
( ~ product(X0,e_1,e_5)
| ~ product(X0,X0,e_2)
| equalish(e_5,X0) ) ).
cnf(u3591,axiom,
( ~ product(e_4,X0,e_1)
| equalish(X0,e_5) ) ).
cnf(u1620,negated_conjecture,
( ~ product(X0,e_4,e_3)
| ~ product(X0,X0,e_2)
| equalish(e_3,X0) ) ).
cnf(u3547,negated_conjecture,
( ~ product(X0,e_1,e_2)
| ~ product(X0,X0,e_5)
| equalish(e_2,X0) ) ).
cnf(u3664,negated_conjecture,
~ product(e_1,e_2,e_2) ).
cnf(u3188,negated_conjecture,
( ~ product(e_3,e_3,X0)
| ~ product(e_1,e_2,X0) ) ).
cnf(u3315,axiom,
( ~ product(e_3,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(u1887,axiom,
( ~ product(e_3,X0,e_1)
| equalish(X0,e_2) ) ).
cnf(u3951,negated_conjecture,
( ~ product(e_2,e_2,X0)
| ~ product(e_1,e_4,X0) ) ).
cnf(u3255,axiom,
( ~ product(e_5,X0,e_3)
| equalish(X0,e_1) ) ).
cnf(u3317,negated_conjecture,
( ~ product(e_5,e_4,X0)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_5) ) ).
cnf(u3685,negated_conjecture,
( ~ product(e_4,e_2,X0)
| ~ product(e_2,e_4,X0) ) ).
cnf(u3619,negated_conjecture,
( ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_3)
| equalish(X1,e_1) ) ).
cnf(u3320,negated_conjecture,
( ~ product(X0,e_3,e_5)
| ~ product(X0,X0,e_4)
| equalish(e_3,X0) ) ).
cnf(u442,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(u3954,negated_conjecture,
( ~ product(e_3,e_5,X0)
| ~ product(e_1,e_4,X0) ) ).
cnf(u3171,negated_conjecture,
( ~ product(e_3,X1,X2)
| ~ product(e_1,e_2,X0)
| ~ product(X1,X2,X0)
| equalish(X1,e_1) ) ).
cnf(u444,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(u3628,axiom,
( ~ product(e_2,X0,e_1)
| equalish(X0,e_4) ) ).
cnf(u3903,negated_conjecture,
( ~ product(X0,e_1,e_3)
| ~ product(X0,X0,e_4)
| equalish(e_3,X0) ) ).
cnf(u3254,axiom,
( ~ product(e_5,e_1,X0)
| equalish(X0,e_3) ) ).
cnf(u3898,axiom,
( ~ product(e_1,e_3,X0)
| equalish(X0,e_4) ) ).
cnf(u3174,negated_conjecture,
( ~ product(X0,e_3,e_1)
| ~ product(X0,X0,e_2)
| equalish(e_3,X0) ) ).
cnf(u1902,negated_conjecture,
( ~ product(e_3,e_3,X0)
| ~ product(e_2,e_1,X0) ) ).
cnf(u2276,negated_conjecture,
( ~ product(e_5,e_5,X0)
| ~ product(e_3,e_1,X0) ) ).
cnf(u3746,negated_conjecture,
( ~ product(e_3,e_5,X0)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_5) ) ).
cnf(u1886,axiom,
( ~ product(e_3,e_2,X0)
| equalish(X0,e_1) ) ).
cnf(u3649,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_4)
| equalish(X0,e_5) ) ).
cnf(u3573,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_3)
| equalish(X0,e_2) ) ).
cnf(u3169,axiom,
( ~ product(e_3,X0,e_2)
| equalish(X0,e_1) ) ).
cnf(u1889,negated_conjecture,
( ~ product(e_3,X1,X2)
| ~ product(e_2,e_1,X0)
| ~ product(X1,X2,X0)
| equalish(X1,e_2) ) ).
cnf(u3642,axiom,
( ~ product(e_1,e_5,X0)
| equalish(X0,e_2) ) ).
cnf(u3220,axiom,
( ~ product(e_4,e_2,X0)
| equalish(X0,e_3) ) ).
cnf(u3754,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_4)
| equalish(X0,e_3) ) ).
cnf(u3678,negated_conjecture,
( ~ product(e_5,X1,X2)
| ~ product(e_4,e_2,X0)
| ~ product(X1,X2,X0)
| equalish(X2,e_2) ) ).
cnf(product_idempotence,axiom,
product(X0,X0,X0) ).
cnf(u3596,negated_conjecture,
( ~ product(X0,e_4,e_5)
| ~ product(X0,X0,e_1)
| equalish(e_4,X0) ) ).
cnf(u1617,axiom,
( ~ product(X0,e_3,e_2)
| equalish(X0,e_4) ) ).
cnf(u49,axiom,
( ~ group_element(X0)
| product(e_1,X0,e_5)
| product(e_2,X0,e_5)
| product(e_3,X0,e_5)
| product(e_4,X0,e_5)
| product(e_5,X0,e_5) ) ).
cnf(u3514,negated_conjecture,
( ~ product(X0,e_5,e_2)
| ~ product(X0,X0,e_4)
| equalish(e_2,X0) ) ).
cnf(u43,axiom,
( ~ product(X0,X1,X1)
| equalish(X0,X1) ) ).
cnf(u46,axiom,
( ~ group_element(X0)
| product(e_1,X0,e_2)
| product(e_2,X0,e_2)
| product(e_3,X0,e_2)
| product(e_4,X0,e_2)
| product(e_5,X0,e_2) ) ).
cnf(u3630,negated_conjecture,
( ~ product(e_4,e_1,X0)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_4) ) ).
cnf(u2258,axiom,
( ~ product(X0,e_3,e_1)
| equalish(X0,e_5) ) ).
cnf(u45,axiom,
( ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_2,X0,e_1)
| product(e_3,X0,e_1)
| product(e_4,X0,e_1)
| product(e_5,X0,e_1) ) ).
cnf(u2109,negated_conjecture,
~ product(e_5,e_2,e_2) ).
cnf(u4013,negated_conjecture,
( ~ product(e_4,X1,X2)
| ~ product(e_1,e_5,X0)
| ~ product(X1,X2,X0)
| equalish(X2,e_5) ) ).
cnf(u3759,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_4)
| equalish(X1,e_5) ) ).
cnf(u1892,negated_conjecture,
( ~ product(X0,e_3,e_2)
| ~ product(X0,X0,e_1)
| equalish(e_3,X0) ) ).
cnf(u2260,negated_conjecture,
( ~ product(e_5,X1,X2)
| ~ product(e_3,e_1,X0)
| ~ product(X1,X2,X0)
| equalish(X2,e_1) ) ).
cnf(u39,axiom,
( ~ product(X0,X0,X1)
| equalish(X1,X0) ) ).
cnf(e_5_is_not_e_3,axiom,
~ equalish(e_5,e_3) ).
cnf(e_5_is_not_e_2,axiom,
~ equalish(e_5,e_2) ).
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(e_3_is_not_e_5,axiom,
~ equalish(e_3,e_5) ).
cnf(u3323,negated_conjecture,
( ~ product(e_5,e_4,X0)
| ~ product(e_1,e_2,X0) ) ).
cnf(u3952,negated_conjecture,
( ~ product(e_5,e_3,X0)
| ~ product(e_1,e_4,X0) ) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3) ).
cnf(u3663,negated_conjecture,
( ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_2)
| equalish(X0,e_5) ) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2) ).
cnf(e_2_is_not_e_5,axiom,
~ equalish(e_2,e_5) ).
cnf(u3509,negated_conjecture,
( ~ product(e_5,e_2,X0)
| equalish(X0,e_4) ) ).
cnf(column_surjectivity,axiom,
( ~ group_element(X1)
| ~ group_element(X0)
| product(X0,e_1,X1)
| product(X0,e_2,X1)
| product(X0,e_3,X1)
| product(X0,e_4,X1)
| product(X0,e_5,X1) ) ).
cnf(row_surjectivity,axiom,
( ~ group_element(X1)
| ~ group_element(X0)
| product(e_1,X0,X1)
| product(e_2,X0,X1)
| product(e_3,X0,X1)
| product(e_4,X0,X1)
| product(e_5,X0,X1) ) ).
cnf(u2485,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_1)
| equalish(X1,e_3) ) ).
cnf(u3518,negated_conjecture,
( ~ product(e_2,e_4,X0)
| ~ product(e_1,e_3,X0) ) ).
cnf(u3259,negated_conjecture,
( ~ product(X0,e_5,e_1)
| ~ product(X0,X0,e_3)
| equalish(e_1,X0) ) ).
cnf(u4023,negated_conjecture,
~ product(e_1,e_5,e_5) ).
cnf(u4000,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_5)
| equalish(X0,e_4) ) ).
cnf(u3643,axiom,
( ~ product(e_1,X0,e_2)
| equalish(X0,e_5) ) ).
cnf(u3260,negated_conjecture,
( ~ product(X0,e_5,e_1)
| ~ product(X0,X0,e_3)
| equalish(e_5,X0) ) ).
cnf(u4043,negated_conjecture,
( ~ product(e_4,e_4,X0)
| ~ product(e_1,e_5,X0) ) ).
cnf(u3942,negated_conjecture,
( ~ product(X0,e_2,e_1)
| ~ product(X0,X0,e_4)
| equalish(e_2,X0) ) ).
cnf(u3224,negated_conjecture,
( ~ product(e_4,X1,X2)
| ~ product(e_2,e_3,X0)
| ~ product(X1,X2,X0)
| equalish(X2,e_3) ) ).
cnf(u3580,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_3)
| equalish(X1,e_5) ) ).
cnf(u1621,negated_conjecture,
( ~ product(X0,e_4,e_3)
| ~ product(X0,X0,e_2)
| equalish(e_4,X0) ) ).
cnf(u3204,negated_conjecture,
( ~ product(X0,e_1,e_4)
| ~ product(X0,X0,e_3)
| equalish(e_4,X0) ) ).
cnf(u3173,negated_conjecture,
( ~ product(X0,e_3,e_1)
| ~ product(X0,X0,e_2)
| equalish(e_1,X0) ) ).
cnf(u3256,axiom,
( ~ product(X0,e_1,e_3)
| equalish(X0,e_5) ) ).
cnf(u2476,negated_conjecture,
( ~ product(e_5,e_3,X0)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_5) ) ).
cnf(u208,axiom,
( ~ group_element(X0)
| product(X0,e_1,e_5)
| product(X0,e_2,e_5)
| product(X0,e_3,e_5)
| product(X0,e_4,e_5)
| product(X0,e_5,e_5) ) ).
cnf(u1618,negated_conjecture,
( ~ product(e_4,X1,X2)
| ~ product(e_3,e_2,X0)
| ~ product(X1,X2,X0)
| equalish(X1,e_3) ) ).
cnf(u3920,negated_conjecture,
~ product(e_2,e_5,e_5) ).
cnf(u3681,negated_conjecture,
( ~ product(e_4,e_2,X0)
| ~ product(e_3,e_1,X0) ) ).
cnf(u204,axiom,
( ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_2,e_1)
| product(X0,e_3,e_1)
| product(X0,e_4,e_1)
| product(X0,e_5,e_1) ) ).
cnf(u3545,negated_conjecture,
( ~ product(e_2,e_5,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_2) ) ).
cnf(u2474,axiom,
( ~ product(e_2,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u2257,axiom,
( ~ product(e_5,X0,e_1)
| equalish(X0,e_3) ) ).
cnf(u2262,negated_conjecture,
( ~ product(X0,e_5,e_3)
| ~ product(X0,X0,e_1)
| equalish(e_5,X0) ) ).
cnf(u2473,axiom,
( ~ product(e_2,e_5,X0)
| equalish(X0,e_3) ) ).
cnf(element_2,axiom,
group_element(e_2) ).
cnf(u3633,negated_conjecture,
( ~ product(X0,e_2,e_4)
| ~ product(X0,X0,e_1)
| equalish(e_2,X0) ) ).
cnf(u4014,negated_conjecture,
( ~ product(X0,e_4,e_1)
| ~ product(X0,X0,e_5)
| equalish(e_1,X0) ) ).
cnf(u3510,negated_conjecture,
( ~ product(e_5,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(u2477,negated_conjecture,
( ~ product(e_5,e_3,X0)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_3) ) ).
cnf(u1888,axiom,
( ~ product(X0,e_2,e_1)
| equalish(X0,e_3) ) ).
cnf(u3937,axiom,
( ~ product(e_2,X0,e_4)
| equalish(X0,e_1) ) ).
cnf(u3904,negated_conjecture,
( ~ product(X0,e_1,e_3)
| ~ product(X0,X0,e_4)
| equalish(e_1,X0) ) ).
cnf(u1619,negated_conjecture,
( ~ product(e_4,X1,X2)
| ~ product(e_3,e_2,X0)
| ~ product(X1,X2,X0)
| equalish(X2,e_2) ) ).
cnf(u1615,axiom,
( ~ product(e_4,e_3,X0)
| equalish(X0,e_2) ) ).
cnf(u3657,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_4)
| equalish(X1,e_2) ) ).
cnf(u3748,negated_conjecture,
( ~ product(X0,e_2,e_3)
| ~ product(X0,X0,e_5)
| equalish(e_2,X0) ) ).
cnf(u3592,axiom,
( ~ product(X0,e_5,e_1)
| equalish(X0,e_4) ) ).
cnf(u40,axiom,
equalish(X0,X0) ).
cnf(u3593,negated_conjecture,
( ~ product(e_5,e_1,X0)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_5) ) ).
cnf(u47,axiom,
( ~ group_element(X0)
| product(e_1,X0,e_3)
| product(e_2,X0,e_3)
| product(e_3,X0,e_3)
| product(e_4,X0,e_3)
| product(e_5,X0,e_3) ) ).
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(u3680,negated_conjecture,
( ~ product(X0,e_5,e_4)
| ~ product(X0,X0,e_2)
| equalish(e_5,X0) ) ).
cnf(u3226,negated_conjecture,
( ~ product(X0,e_4,e_2)
| ~ product(X0,X0,e_3)
| equalish(e_4,X0) ) ).
cnf(u3316,axiom,
( ~ product(X0,e_5,e_4)
| equalish(X0,e_3) ) ).
cnf(u3595,negated_conjecture,
( ~ product(X0,e_4,e_5)
| ~ product(X0,X0,e_1)
| equalish(e_5,X0) ) ).
cnf(u4031,negated_conjecture,
~ product(e_3,e_5,e_5) ).
cnf(u3781,negated_conjecture,
~ product(e_3,e_4,e_4) ).
cnf(u3710,negated_conjecture,
( ~ product(e_5,e_5,X0)
| ~ product(e_4,e_2,X0) ) ).
cnf(u4010,axiom,
( ~ product(e_4,X0,e_5)
| equalish(X0,e_1) ) ).
cnf(u3513,negated_conjecture,
( ~ product(e_5,X1,X2)
| ~ product(e_2,e_4,X0)
| ~ product(X1,X2,X0)
| equalish(X2,e_4) ) ).
cnf(u3244,negated_conjecture,
( ~ product(e_4,e_4,X0)
| ~ product(e_2,e_3,X0) ) ).
cnf(u3201,axiom,
( ~ product(X0,e_4,e_3)
| equalish(X0,e_1) ) ).
cnf(u2475,axiom,
( ~ product(X0,e_5,e_3)
| equalish(X0,e_2) ) ).
cnf(u4009,axiom,
( ~ product(e_4,e_1,X0)
| equalish(X0,e_5) ) ).
cnf(u3811,negated_conjecture,
( ~ product(e_4,e_5,X0)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_4) ) ).
cnf(u3203,negated_conjecture,
( ~ product(e_4,e_3,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_3) ) ).
cnf(u3939,negated_conjecture,
( ~ product(e_2,X1,X2)
| ~ product(e_1,e_4,X0)
| ~ product(X1,X2,X0)
| equalish(X1,e_1) ) ).
cnf(u3205,negated_conjecture,
( ~ product(X0,e_1,e_4)
| ~ product(X0,X0,e_3)
| equalish(e_1,X0) ) ).
cnf(u3662,negated_conjecture,
( ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_2)
| equalish(X1,e_4) ) ).
cnf(u443,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(u2259,negated_conjecture,
( ~ product(e_5,X1,X2)
| ~ product(e_3,e_1,X0)
| ~ product(X1,X2,X0)
| equalish(X1,e_3) ) ).
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(u445,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(u3202,negated_conjecture,
( ~ product(e_4,e_3,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_4) ) ).
cnf(u2261,negated_conjecture,
( ~ product(X0,e_5,e_3)
| ~ product(X0,X0,e_1)
| equalish(e_3,X0) ) ).
cnf(u36,negated_conjecture,
( ~ product(X2,X3,X1)
| ~ product(X0,X2,X3)
| ~ product(X0,X0,X1)
| equalish(X2,X0) ) ).
cnf(u3830,negated_conjecture,
( ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_1)
| equalish(X1,e_5) ) ).
cnf(u3809,negated_conjecture,
( ~ product(e_3,X0,e_5)
| equalish(X0,e_4) ) ).
cnf(e_5_is_not_e_4,axiom,
~ equalish(e_5,e_4) ).
cnf(product_right_cancellation,axiom,
( ~ product(X0,X3,X2)
| ~ product(X0,X1,X2)
| equalish(X1,X3) ) ).
cnf(u3512,negated_conjecture,
( ~ product(e_5,X1,X2)
| ~ product(e_2,e_4,X0)
| ~ product(X1,X2,X0)
| equalish(X1,e_2) ) ).
cnf(u3614,negated_conjecture,
( ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_3)
| equalish(X0,e_5) ) ).
cnf(u3177,negated_conjecture,
( ~ product(e_2,e_1,X0)
| ~ product(e_1,e_2,X0) ) ).
cnf(product_total_function2,axiom,
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| equalish(X2,X3) ) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1) ).
cnf(u3645,negated_conjecture,
( ~ product(e_5,e_2,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_5) ) ).
cnf(u3319,negated_conjecture,
( ~ product(X0,e_3,e_5)
| ~ product(X0,X0,e_4)
| equalish(e_5,X0) ) ).
cnf(e_4_is_not_e_5,axiom,
~ equalish(e_4,e_5) ).
cnf(u3899,axiom,
( ~ product(e_1,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4) ).
cnf(u3548,negated_conjecture,
( ~ product(X0,e_1,e_2)
| ~ product(X0,X0,e_5)
| equalish(e_1,X0) ) ).
cnf(u3683,negated_conjecture,
( ~ product(e_4,e_2,X0)
| ~ product(e_1,e_3,X0) ) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3) ).
cnf(u3314,axiom,
( ~ product(e_3,e_5,X0)
| equalish(X0,e_4) ) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1) ).
cnf(u3542,negated_conjecture,
( ~ product(e_1,e_2,X0)
| equalish(X0,e_5) ) ).
cnf(element_1,axiom,
group_element(e_1) ).
cnf(element_4,axiom,
group_element(e_4) ).
cnf(element_3,axiom,
group_element(e_3) ).
cnf(u3938,axiom,
( ~ product(X0,e_1,e_4)
| equalish(X0,e_2) ) ).
cnf(u3675,axiom,
( ~ product(e_5,X0,e_2)
| equalish(X0,e_4) ) ).
cnf(u3261,negated_conjecture,
( ~ product(e_3,e_1,X0)
| ~ product(e_1,e_3,X0) ) ).
cnf(u4015,negated_conjecture,
( ~ product(X0,e_4,e_1)
| ~ product(X0,X0,e_5)
| equalish(e_4,X0) ) ).
cnf(u3923,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_5)
| equalish(X1,e_4) ) ).
cnf(u1891,negated_conjecture,
( ~ product(X0,e_3,e_2)
| ~ product(X0,X0,e_1)
| equalish(e_2,X0) ) ).
cnf(u3599,negated_conjecture,
( ~ product(e_5,e_1,X0)
| ~ product(e_2,e_3,X0) ) ).
cnf(u3258,negated_conjecture,
( ~ product(e_5,X1,X2)
| ~ product(e_1,e_3,X0)
| ~ product(X1,X2,X0)
| equalish(X2,e_3) ) ).
cnf(u3225,negated_conjecture,
( ~ product(X0,e_4,e_2)
| ~ product(X0,X0,e_3)
| equalish(e_2,X0) ) ).
cnf(u1616,axiom,
( ~ product(e_4,X0,e_2)
| equalish(X0,e_3) ) ).
cnf(u3566,negated_conjecture,
( ~ product(e_5,e_5,X0)
| ~ product(e_2,e_4,X0) ) ).
cnf(u3221,axiom,
( ~ product(e_4,X0,e_3)
| equalish(X0,e_2) ) ).
cnf(u3627,axiom,
( ~ product(e_2,e_4,X0)
| equalish(X0,e_1) ) ).
cnf(u3813,negated_conjecture,
( ~ product(X0,e_3,e_4)
| ~ product(X0,X0,e_5)
| equalish(e_4,X0) ) ).
cnf(u3824,negated_conjecture,
( ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_1)
| equalish(X0,e_4) ) ).
cnf(u3515,negated_conjecture,
( ~ product(X0,e_5,e_2)
| ~ product(X0,X0,e_4)
| equalish(e_5,X0) ) ).
cnf(u3632,negated_conjecture,
( ~ product(X0,e_2,e_4)
| ~ product(X0,X0,e_1)
| equalish(e_4,X0) ) ).
cnf(u3810,negated_conjecture,
( ~ product(X0,e_4,e_5)
| equalish(X0,e_3) ) ).
cnf(u3170,axiom,
( ~ product(X0,e_1,e_2)
| equalish(X0,e_3) ) ).
cnf(u206,axiom,
( ~ group_element(X0)
| product(X0,e_1,e_3)
| product(X0,e_2,e_3)
| product(X0,e_3,e_3)
| product(X0,e_4,e_3)
| product(X0,e_5,e_3) ) ).
cnf(u205,axiom,
( ~ group_element(X0)
| product(X0,e_1,e_2)
| product(X0,e_2,e_2)
| product(X0,e_3,e_2)
| product(X0,e_4,e_2)
| product(X0,e_5,e_2) ) ).
cnf(u2256,axiom,
( ~ product(e_5,e_3,X0)
| equalish(X0,e_1) ) ).
cnf(u3199,axiom,
( ~ product(e_1,e_4,X0)
| equalish(X0,e_3) ) ).
cnf(u2479,negated_conjecture,
( ~ product(X0,e_2,e_5)
| ~ product(X0,X0,e_3)
| equalish(e_2,X0) ) ).
cnf(u3742,negated_conjecture,
( ~ product(e_2,e_3,X0)
| equalish(X0,e_5) ) ).
cnf(u3543,negated_conjecture,
( ~ product(e_1,X0,e_5)
| equalish(X0,e_2) ) ).
cnf(u3902,negated_conjecture,
( ~ product(e_3,e_4,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_4) ) ).
cnf(u3936,axiom,
( ~ product(e_2,e_1,X0)
| equalish(X0,e_4) ) ).
cnf(u441,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(u2482,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_1)
| equalish(X0,e_5) ) ).
cnf(u3206,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_2)
| equalish(X0,e_4) ) ).
cnf(u3597,negated_conjecture,
( ~ product(e_5,e_1,X0)
| ~ product(e_3,e_2,X0) ) ).
cnf(u3277,negated_conjecture,
( ~ product(e_5,e_5,X0)
| ~ product(e_1,e_3,X0) ) ).
cnf(u3516,negated_conjecture,
( ~ product(e_3,e_1,X0)
| ~ product(e_2,e_4,X0) ) ).
cnf(u3747,negated_conjecture,
( ~ product(X0,e_2,e_3)
| ~ product(X0,X0,e_5)
| equalish(e_3,X0) ) ).
cnf(u2478,negated_conjecture,
( ~ product(X0,e_2,e_5)
| ~ product(X0,X0,e_3)
| equalish(e_5,X0) ) ).
cnf(u3594,negated_conjecture,
( ~ product(e_5,e_1,X0)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_1) ) ).
cnf(u48,axiom,
( ~ group_element(X0)
| product(e_1,X0,e_4)
| product(e_2,X0,e_4)
| product(e_3,X0,e_4)
| product(e_4,X0,e_4)
| product(e_5,X0,e_4) ) ).
cnf(u3940,negated_conjecture,
( ~ product(e_2,X1,X2)
| ~ product(e_1,e_4,X0)
| ~ product(X1,X2,X0)
| equalish(X2,e_4) ) ).
cnf(u41,axiom,
( ~ product(X0,X1,X0)
| equalish(X1,X0) ) ).
cnf(u3679,negated_conjecture,
( ~ product(X0,e_5,e_4)
| ~ product(X0,X0,e_2)
| equalish(e_4,X0) ) ).
cnf(u3808,negated_conjecture,
( ~ product(e_3,e_4,X0)
| equalish(X0,e_5) ) ).
cnf(u35,negated_conjecture,
( ~ product(X2,X3,X1)
| ~ product(X0,X2,X3)
| ~ product(X0,X0,X1)
| equalish(X3,X0) ) ).
cnf(u3211,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_2)
| equalish(X1,e_3) ) ).
cnf(u3544,negated_conjecture,
( ~ product(X0,e_2,e_5)
| equalish(X0,e_1) ) ).
cnf(e_5_is_not_e_1,axiom,
~ equalish(e_5,e_1) ).
cnf(product_left_cancellation,axiom,
( ~ product(X3,X1,X2)
| ~ product(X0,X1,X2)
| equalish(X0,X3) ) ).
cnf(u4012,negated_conjecture,
( ~ product(e_4,X1,X2)
| ~ product(e_1,e_5,X0)
| ~ product(X1,X2,X0)
| equalish(X1,e_1) ) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4) ).
cnf(u3941,negated_conjecture,
( ~ product(X0,e_2,e_1)
| ~ product(X0,X0,e_4)
| equalish(e_1,X0) ) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2) ).
cnf(u4018,negated_conjecture,
( ~ product(e_2,e_3,X0)
| ~ product(e_1,e_5,X0) ) ).
cnf(u3168,axiom,
( ~ product(e_3,e_1,X0)
| equalish(X0,e_2) ) ).
cnf(u3318,negated_conjecture,
( ~ product(e_5,e_4,X0)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_4) ) ).
cnf(u3511,negated_conjecture,
( ~ product(X0,e_2,e_4)
| equalish(X0,e_5) ) ).
cnf(u3257,negated_conjecture,
( ~ product(e_5,X1,X2)
| ~ product(e_1,e_3,X0)
| ~ product(X1,X2,X0)
| equalish(X1,e_1) ) ).
cnf(u3648,negated_conjecture,
( ~ product(X0,e_1,e_5)
| ~ product(X0,X0,e_2)
| equalish(e_1,X0) ) ).
cnf(u1890,negated_conjecture,
( ~ product(e_3,X1,X2)
| ~ product(e_2,e_1,X0)
| ~ product(X1,X2,X0)
| equalish(X2,e_1) ) ).
cnf(u3644,axiom,
( ~ product(X0,e_5,e_2)
| equalish(X0,e_1) ) ).
cnf(u3631,negated_conjecture,
( ~ product(e_4,e_1,X0)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_1) ) ).
cnf(u3223,negated_conjecture,
( ~ product(e_4,X1,X2)
| ~ product(e_2,e_3,X0)
| ~ product(X1,X2,X0)
| equalish(X1,e_2) ) ).
cnf(u3913,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_5)
| equalish(X0,e_3) ) ).
cnf(u4044,negated_conjecture,
( ~ product(e_5,e_1,X0)
| ~ product(e_1,e_5,X0) ) ).
cnf(u3744,negated_conjecture,
( ~ product(X0,e_3,e_5)
| equalish(X0,e_2) ) ).
cnf(u3745,negated_conjecture,
( ~ product(e_3,e_5,X0)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_3) ) ).
cnf(u3222,axiom,
( ~ product(X0,e_2,e_3)
| equalish(X0,e_4) ) ).
cnf(u3901,negated_conjecture,
( ~ product(e_3,e_4,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_3) ) ).
cnf(u3646,negated_conjecture,
( ~ product(e_5,e_2,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_2) ) ).
cnf(u3172,negated_conjecture,
( ~ product(e_3,X1,X2)
| ~ product(e_1,e_2,X0)
| ~ product(X1,X2,X0)
| equalish(X2,e_2) ) ).
cnf(u3227,negated_conjecture,
( ~ product(e_3,e_2,X0)
| ~ product(e_2,e_3,X0) ) ).
cnf(u3817,negated_conjecture,
( ~ product(e_4,e_5,X0)
| ~ product(e_1,e_2,X0) ) ).
cnf(u3900,axiom,
( ~ product(X0,e_3,e_4)
| equalish(X0,e_1) ) ).
cnf(u3321,negated_conjecture,
( ~ product(e_5,e_4,X0)
| ~ product(e_2,e_1,X0) ) ).
cnf(u3677,negated_conjecture,
( ~ product(e_5,X1,X2)
| ~ product(e_4,e_2,X0)
| ~ product(X1,X2,X0)
| equalish(X1,e_4) ) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1) ).
cnf(u3200,axiom,
( ~ product(e_1,X0,e_3)
| equalish(X0,e_4) ) ).
cnf(e_1_is_not_e_5,axiom,
~ equalish(e_1,e_5) ).
cnf(u3590,axiom,
( ~ product(e_4,e_5,X0)
| equalish(X0,e_1) ) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4) ).
cnf(u207,axiom,
( ~ group_element(X0)
| product(X0,e_1,e_4)
| product(X0,e_2,e_4)
| product(X0,e_3,e_4)
| product(X0,e_4,e_4)
| product(X0,e_5,e_4) ) ).
cnf(u3674,axiom,
( ~ product(e_5,e_4,X0)
| equalish(X0,e_2) ) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3) ).
cnf(u2045,negated_conjecture,
~ product(e_4,e_1,e_1) ).
cnf(u3629,axiom,
( ~ product(X0,e_4,e_1)
| equalish(X0,e_2) ) ).
cnf(u3676,axiom,
( ~ product(X0,e_4,e_2)
| equalish(X0,e_5) ) ).
cnf(element_5,axiom,
group_element(e_5) ).
cnf(u3953,negated_conjecture,
( ~ product(e_4,e_1,X0)
| ~ product(e_1,e_4,X0) ) ).
cnf(u3814,negated_conjecture,
( ~ product(X0,e_3,e_4)
| ~ product(X0,X0,e_5)
| equalish(e_3,X0) ) ).
cnf(u3743,negated_conjecture,
( ~ product(e_2,X0,e_5)
| equalish(X0,e_3) ) ).
cnf(u4016,negated_conjecture,
( ~ product(e_3,e_2,X0)
| ~ product(e_1,e_5,X0) ) ).
cnf(u3812,negated_conjecture,
( ~ product(e_4,e_5,X0)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_5) ) ).
cnf(u1631,negated_conjecture,
( ~ product(e_4,e_4,X0)
| ~ product(e_3,e_2,X0) ) ).
cnf(u4011,axiom,
( ~ product(X0,e_1,e_5)
| equalish(X0,e_4) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP124-4.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.40 % Computer : n020.cluster.edu
% 0.11/0.40 % Model : x86_64 x86_64
% 0.11/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.11/0.40 % Memory : 8046.5625MB
% 0.11/0.40 % OS : Linux 6.8.0-71-generic
% 0.11/0.40 % CPULimit : 300
% 0.11/0.40 % WCLimit : 300
% 0.11/0.41 % DateTime : Sun Sep 27 09:21:51 UTC 2026
% 0.11/0.41 % CPUTime :
% 0.11/0.41 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.11/0.44 Running first-order theorem proving
% 0.11/0.44 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 5.17/1.58 % (3126195)Input is clausal, will run a generic CNF schedule.
% 5.17/1.58 % (3126202)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4256686841:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 5.17/1.58 % (3126203)lrs+10_1_sil=8000:sp=occurrence:random_seed=2388147733:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 5.17/1.58 % (3126201)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1592707707:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 5.17/1.58 % (3126200)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=4244725005:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 5.17/1.58 % (3126206)dis-21_1_sil=8000:lcm=predicate:random_seed=619931003: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)
% 5.17/1.58 % (3126205)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=407156320:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 5.17/1.58 % (3126204)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4107954394:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 5.17/1.58 % (3126203)Refutation not found, incomplete strategy
% 5.17/1.58 % (3126203)------------------------------
% 5.17/1.58 % (3126203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.58 % (3126203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.58 % (3126203)CaDiCaL version: 2.1.3
% 5.17/1.58 % (3126203)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.58 % (3126203)Time elapsed: 0.001 s
% 5.17/1.58 % (3126203)Peak memory usage: 86 MB
% 5.17/1.58 % (3126205)Refutation not found, incomplete strategy
% 5.17/1.58 % (3126205)------------------------------
% 5.17/1.58 % (3126205)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.58 % (3126205)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.58 % (3126205)CaDiCaL version: 2.1.3
% 5.17/1.58 % (3126205)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.58 % (3126205)Time elapsed: 0.044 s
% 5.17/1.58 % (3126205)Peak memory usage: 89 MB
% 5.17/1.58 % (3126205)Instructions burned: 73 (million)
% 5.17/1.58 % (3126204)Instruction limit reached!
% 5.17/1.58 % (3126204)------------------------------
% 5.17/1.58 % (3126204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.58 % (3126204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.58 % (3126204)CaDiCaL version: 2.1.3
% 5.17/1.58 % (3126204)Termination reason: Instruction limit
% 5.17/1.58 % (3126204)Termination phase: Saturation
% 5.17/1.58 % (3126204)Time elapsed: 0.058 s
% 5.17/1.58 % (3126204)Peak memory usage: 88 MB
% 5.17/1.58 % (3126204)Instructions burned: 116 (million)
% 5.17/1.58 % (3126206)Instruction limit reached!
% 5.17/1.58 % (3126206)------------------------------
% 5.17/1.58 % (3126206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.58 % (3126206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.58 % (3126206)CaDiCaL version: 2.1.3
% 5.17/1.58 % (3126206)Termination reason: Instruction limit
% 5.17/1.58 % (3126206)Termination phase: Saturation
% 5.17/1.58 % (3126206)Time elapsed: 0.066 s
% 5.17/1.58 % (3126206)Peak memory usage: 89 MB
% 5.17/1.58 % (3126206)Instructions burned: 117 (million)
% 5.17/1.58 % (3126214)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=615317992:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 5.17/1.58 % (3126215)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3966787860: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)
% 5.17/1.58 % (3126215)Refutation not found, incomplete strategy
% 5.17/1.58 % (3126215)------------------------------
% 5.17/1.58 % (3126215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.58 % (3126215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.58 % (3126215)CaDiCaL version: 2.1.3
% 5.17/1.58 % (3126215)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.58 % (3126215)Time elapsed: 0.003 s
% 5.17/1.58 % (3126215)Peak memory usage: 88 MB
% 5.17/1.58 % (3126215)Instructions burned: 3 (million)
% 5.17/1.58 % (3126203)------------------------------
% 5.17/1.58 % (3126203)------------------------------
% 5.17/1.58 % (3126205)------------------------------
% 5.17/1.58 % (3126205)------------------------------
% 5.17/1.58 % (3126214)Instruction limit reached!
% 5.17/1.58 % (3126214)------------------------------
% 5.17/1.58 % (3126214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.58 % (3126214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.58 % (3126214)CaDiCaL version: 2.1.3
% 5.17/1.58 % (3126214)Termination reason: Instruction limit
% 5.17/1.58 % (3126214)Termination phase: Saturation
% 5.17/1.58 % (3126214)Time elapsed: 0.080 s
% 5.17/1.58 % (3126214)Peak memory usage: 89 MB
% 5.17/1.58 % (3126214)Instructions burned: 145 (million)
% 5.17/1.58 % (3126218)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=209907447:st=4:i=219:sd=3:ss=axioms_2995 on theBenchmark for (2995ds/219Mi)
% 5.17/1.58 % (3126219)lrs+10_64_to=lpo:sil=8000:random_seed=2508863774:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 5.17/1.58 % (3126218)Instruction limit reached!
% 5.17/1.58 % (3126218)------------------------------
% 5.17/1.58 % (3126218)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.58 % (3126218)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.58 % (3126218)CaDiCaL version: 2.1.3
% 5.17/1.58 % (3126218)Termination reason: Instruction limit
% 5.17/1.58 % (3126218)Termination phase: Saturation
% 5.17/1.58 % (3126218)Time elapsed: 0.060 s
% 5.17/1.58 % (3126218)Peak memory usage: 89 MB
% 5.17/1.58 % (3126218)Instructions burned: 223 (million)
% 5.17/1.58 % (3126220)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2111110106:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 5.17/1.58 % (3126215)------------------------------
% 5.17/1.58 % (3126215)------------------------------
% 5.17/1.58 % (3126219)First to succeed.
% 5.17/1.58 % (3126219)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3126195"
% 5.17/1.58 % (3126220)Refutation not found, incomplete strategy
% 5.17/1.58 % (3126220)------------------------------
% 5.17/1.58 % (3126220)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.58 % (3126220)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.58 % (3126220)CaDiCaL version: 2.1.3
% 5.17/1.58 % (3126220)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.58 % (3126220)Time elapsed: 0.102 s
% 5.17/1.58 % (3126220)Peak memory usage: 89 MB
% 5.17/1.58 % (3126220)Instructions burned: 174 (million)
% 5.17/1.58 % (3126223)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2787745194:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 5.17/1.58 % (3126223)Instruction limit reached!
% 5.17/1.58 % (3126223)------------------------------
% 5.17/1.58 % (3126223)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.58 % (3126223)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.58 % (3126223)CaDiCaL version: 2.1.3
% 5.17/1.58 % (3126223)Termination reason: Instruction limit
% 5.17/1.58 % (3126223)Termination phase: Saturation
% 5.17/1.58 % (3126223)Time elapsed: 0.047 s
% 5.17/1.58 % (3126223)Peak memory usage: 89 MB
% 5.17/1.58 % (3126223)Instructions burned: 161 (million)
% 5.17/1.58 % (3126201)Refutation not found, incomplete strategy
% 5.17/1.58 % (3126201)------------------------------
% 5.17/1.58 % (3126201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.58 % (3126201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.58 % (3126201)CaDiCaL version: 2.1.3
% 5.17/1.58 % (3126201)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.58 % (3126201)Time elapsed: 0.608 s
% 5.17/1.58 % (3126201)Peak memory usage: 126 MB
% 5.17/1.58 % (3126201)Instructions burned: 917 (million)
% 5.17/1.58 % (3126225)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3820119617:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 5.17/1.58 % (3126227)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=2003935546:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2992 on theBenchmark for (2992ds/106Mi)
% 5.17/1.58 % (3126227)Refutation not found, incomplete strategy
% 5.17/1.58 % (3126227)------------------------------
% 5.17/1.58 % (3126227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.17/1.58 % (3126227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.17/1.58 % (3126227)CaDiCaL version: 2.1.3
% 5.17/1.58 % (3126227)Termination reason: Refutation not found, incomplete strategy
% 5.17/1.58 % (3126227)Time elapsed: 0.003 s
% 5.17/1.58 % (3126227)Peak memory usage: 88 MB
% 5.17/1.58 % (3126227)Instructions burned: 10 (million)
% 5.17/1.58 % SZS status Satisfiable for theBenchmark
% 5.17/1.58 % SZS output start Saturation.
% See solution above
% 6.78/1.68 % SZS output start Definitions and Model Updates.
% 6.78/1.68 % SZS output end Definitions and Model Updates.
% 6.78/1.68 % (3126219)------------------------------
% 6.78/1.68 % (3126219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.78/1.68 % (3126219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.78/1.68 % (3126219)CaDiCaL version: 2.1.3
% 6.78/1.68 % (3126219)Termination reason: Satisfiable
% 6.78/1.68 % (3126219)Time elapsed: 0.076 s
% 6.78/1.68 % (3126219)Peak memory usage: 89 MB
% 6.78/1.68 % (3126219)Instructions burned: 125 (million)
% 6.78/1.68 % (3126219)------------------------------
% 6.78/1.68 % (3126219)------------------------------
% 6.78/1.68 % (3126195)Success in time 0.939 s
% 6.78/1.68 % Vampire exiting
%------------------------------------------------------------------------------