%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP124-7.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n011.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 4.17s 1.55s
% Output : Saturation 5.56s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u78,axiom,
~ product1(e_5,e_1,e_5) ).
cnf(u83,axiom,
product1(e_5,e_1,e_4) ).
cnf(u86,axiom,
~ product1(e_5,e_1,e_3) ).
cnf(u90,axiom,
~ product1(e_5,e_1,e_2) ).
cnf(u94,axiom,
~ product1(e_5,e_1,e_1) ).
cnf(u100,axiom,
product1(e_4,e_1,e_5) ).
cnf(u103,axiom,
~ product1(e_4,e_1,e_4) ).
cnf(u107,axiom,
~ product1(e_4,e_1,e_3) ).
cnf(u111,axiom,
~ product1(e_4,e_1,e_2) ).
cnf(u115,axiom,
~ product1(e_4,e_1,e_1) ).
cnf(u120,axiom,
~ product1(e_3,e_1,e_5) ).
cnf(u124,axiom,
~ product1(e_3,e_1,e_4) ).
cnf(u128,axiom,
~ product1(e_3,e_1,e_3) ).
cnf(u133,axiom,
product1(e_3,e_1,e_2) ).
cnf(u136,axiom,
~ product1(e_3,e_1,e_1) ).
cnf(u141,axiom,
~ product1(e_2,e_1,e_5) ).
cnf(u145,axiom,
~ product1(e_2,e_1,e_4) ).
cnf(u150,axiom,
product1(e_2,e_1,e_3) ).
cnf(u153,axiom,
~ product1(e_2,e_1,e_2) ).
cnf(u157,axiom,
~ product1(e_2,e_1,e_1) ).
cnf(u260,axiom,
~ product1(e_5,e_2,e_5) ).
cnf(u264,axiom,
~ product1(e_5,e_2,e_4) ).
cnf(u268,axiom,
~ product1(e_5,e_2,e_3) ).
cnf(u272,axiom,
~ product1(e_5,e_2,e_2) ).
cnf(u277,axiom,
product1(e_5,e_2,e_1) ).
cnf(u281,axiom,
~ product1(e_4,e_2,e_5) ).
cnf(u285,axiom,
~ product1(e_4,e_2,e_4) ).
cnf(u290,axiom,
product1(e_4,e_2,e_3) ).
cnf(u293,axiom,
~ product1(e_4,e_2,e_2) ).
cnf(u297,axiom,
~ product1(e_4,e_2,e_1) ).
cnf(u302,axiom,
~ product1(e_3,e_2,e_5) ).
cnf(u307,axiom,
product1(e_3,e_2,e_4) ).
cnf(u310,axiom,
~ product1(e_3,e_2,e_3) ).
cnf(u314,axiom,
~ product1(e_3,e_2,e_2) ).
cnf(u318,axiom,
~ product1(e_3,e_2,e_1) ).
cnf(u324,axiom,
product1(e_1,e_2,e_5) ).
cnf(u327,axiom,
~ product1(e_1,e_2,e_4) ).
cnf(u331,axiom,
~ product1(e_1,e_2,e_3) ).
cnf(u335,axiom,
~ product1(e_1,e_2,e_2) ).
cnf(u339,axiom,
~ product1(e_1,e_2,e_1) ).
cnf(u450,axiom,
~ product1(e_5,e_3,e_5) ).
cnf(u454,axiom,
~ product1(e_5,e_3,e_4) ).
cnf(u458,axiom,
~ product1(e_5,e_3,e_3) ).
cnf(u463,axiom,
product1(e_5,e_3,e_2) ).
cnf(u466,axiom,
~ product1(e_5,e_3,e_1) ).
cnf(u471,axiom,
~ product1(e_4,e_3,e_5) ).
cnf(u475,axiom,
~ product1(e_4,e_3,e_4) ).
cnf(u479,axiom,
~ product1(e_4,e_3,e_3) ).
cnf(u483,axiom,
~ product1(e_4,e_3,e_2) ).
cnf(u488,axiom,
product1(e_4,e_3,e_1) ).
cnf(u493,axiom,
product1(e_2,e_3,e_5) ).
cnf(u496,axiom,
~ product1(e_2,e_3,e_4) ).
cnf(u500,axiom,
~ product1(e_2,e_3,e_3) ).
cnf(u504,axiom,
~ product1(e_2,e_3,e_2) ).
cnf(u508,axiom,
~ product1(e_2,e_3,e_1) ).
cnf(u513,axiom,
~ product1(e_1,e_3,e_5) ).
cnf(u518,axiom,
product1(e_1,e_3,e_4) ).
cnf(u521,axiom,
~ product1(e_1,e_3,e_3) ).
cnf(u525,axiom,
~ product1(e_1,e_3,e_2) ).
cnf(u529,axiom,
~ product1(e_1,e_3,e_1) ).
cnf(u680,axiom,
~ product1(e_5,e_4,e_5) ).
cnf(u684,axiom,
~ product1(e_5,e_4,e_4) ).
cnf(u689,axiom,
product1(e_5,e_4,e_3) ).
cnf(u692,axiom,
~ product1(e_5,e_4,e_2) ).
cnf(u696,axiom,
~ product1(e_5,e_4,e_1) ).
cnf(u702,axiom,
product1(e_3,e_4,e_5) ).
cnf(u705,axiom,
~ product1(e_3,e_4,e_4) ).
cnf(u709,axiom,
~ product1(e_3,e_4,e_3) ).
cnf(u713,axiom,
~ product1(e_3,e_4,e_2) ).
cnf(u717,axiom,
~ product1(e_3,e_4,e_1) ).
cnf(u722,axiom,
~ product1(e_2,e_4,e_5) ).
cnf(u726,axiom,
~ product1(e_2,e_4,e_4) ).
cnf(u730,axiom,
~ product1(e_2,e_4,e_3) ).
cnf(u734,axiom,
~ product1(e_2,e_4,e_2) ).
cnf(u739,axiom,
product1(e_2,e_4,e_1) ).
cnf(u743,axiom,
~ product1(e_1,e_4,e_5) ).
cnf(u747,axiom,
~ product1(e_1,e_4,e_4) ).
cnf(u751,axiom,
~ product1(e_1,e_4,e_3) ).
cnf(u756,axiom,
product1(e_1,e_4,e_2) ).
cnf(u759,axiom,
~ product1(e_1,e_4,e_1) ).
cnf(u920,axiom,
~ product1(e_4,e_5,e_5) ).
cnf(u924,axiom,
~ product1(e_4,e_5,e_4) ).
cnf(u928,axiom,
~ product1(e_4,e_5,e_3) ).
cnf(u933,axiom,
product1(e_4,e_5,e_2) ).
cnf(u936,axiom,
~ product1(e_4,e_5,e_1) ).
cnf(u941,axiom,
~ product1(e_3,e_5,e_5) ).
cnf(u945,axiom,
~ product1(e_3,e_5,e_4) ).
cnf(u958,axiom,
product1(e_3,e_5,e_1) ).
cnf(u962,axiom,
~ product1(e_2,e_5,e_5) ).
cnf(u967,axiom,
product1(e_2,e_5,e_4) ).
cnf(u970,axiom,
~ product1(e_2,e_5,e_3) ).
cnf(u974,axiom,
~ product1(e_2,e_5,e_2) ).
cnf(u978,axiom,
~ product1(e_2,e_5,e_1) ).
cnf(u983,axiom,
~ product1(e_1,e_5,e_5) ).
cnf(u987,axiom,
~ product1(e_1,e_5,e_4) ).
cnf(u992,axiom,
product1(e_1,e_5,e_3) ).
cnf(u995,axiom,
~ product1(e_1,e_5,e_2) ).
cnf(u999,axiom,
~ product1(e_1,e_5,e_1) ).
cnf(u1168,axiom,
~ product2(e_4,e_1,e_5) ).
cnf(u1176,axiom,
~ product2(e_4,e_1,e_3) ).
cnf(u1181,axiom,
product2(e_4,e_1,e_2) ).
cnf(u1189,axiom,
~ product2(e_3,e_1,e_5) ).
cnf(u1194,axiom,
product2(e_3,e_1,e_4) ).
cnf(u1201,axiom,
~ product2(e_3,e_1,e_2) ).
cnf(u1211,axiom,
product2(e_2,e_1,e_5) ).
cnf(u1214,axiom,
~ product2(e_2,e_1,e_4) ).
cnf(u1218,axiom,
~ product2(e_2,e_1,e_3) ).
cnf(u1247,axiom,
~ product2(e_5,e_1,e_4) ).
cnf(u1252,axiom,
product2(e_5,e_1,e_3) ).
cnf(u1403,axiom,
~ product2(e_4,e_2,e_5) ).
cnf(u1411,axiom,
~ product2(e_4,e_2,e_3) ).
cnf(u1420,axiom,
product2(e_4,e_2,e_1) ).
cnf(u1425,axiom,
product2(e_3,e_2,e_5) ).
cnf(u1428,axiom,
~ product2(e_3,e_2,e_4) ).
cnf(u1440,axiom,
~ product2(e_3,e_2,e_1) ).
cnf(u1608,axiom,
~ product2(e_5,e_3,e_4) ).
cnf(u1612,axiom,
~ product2(e_5,e_3,e_3) ).
cnf(u1616,axiom,
~ product2(e_5,e_3,e_2) ).
cnf(u1621,axiom,
product2(e_5,e_3,e_1) ).
cnf(u1626,axiom,
product2(e_4,e_3,e_5) ).
cnf(u1637,axiom,
~ product2(e_4,e_3,e_2) ).
cnf(u1641,axiom,
~ product2(e_4,e_3,e_1) ).
cnf(u1731,axiom,
~ product2(e_1,e_2,e_4) ).
cnf(u1736,axiom,
product2(e_1,e_2,e_3) ).
cnf(u1755,axiom,
~ product2(e_2,e_3,e_5) ).
cnf(u1760,axiom,
product2(e_2,e_3,e_4) ).
cnf(u1771,axiom,
~ product2(e_2,e_3,e_1) ).
cnf(u1858,axiom,
product2(e_5,e_4,e_2) ).
cnf(u1861,axiom,
~ product2(e_5,e_4,e_1) ).
cnf(u1866,axiom,
~ product2(e_3,e_4,e_5) ).
cnf(u1870,axiom,
~ product2(e_3,e_4,e_4) ).
cnf(u1883,axiom,
product2(e_3,e_4,e_1) ).
cnf(u1888,axiom,
product2(e_1,e_4,e_5) ).
cnf(u1895,axiom,
~ product2(e_1,e_4,e_3) ).
cnf(u1899,axiom,
~ product2(e_1,e_4,e_2) ).
cnf(u1988,axiom,
~ product2(e_1,e_3,e_5) ).
cnf(u1992,axiom,
~ product2(e_1,e_3,e_4) ).
cnf(u2001,axiom,
product2(e_1,e_3,e_2) ).
cnf(u2121,axiom,
~ product2(e_4,e_5,e_5) ).
cnf(u2130,axiom,
product2(e_4,e_5,e_3) ).
cnf(u2133,axiom,
~ product2(e_4,e_5,e_2) ).
cnf(u2137,axiom,
~ product2(e_4,e_5,e_1) ).
cnf(u2146,axiom,
~ product2(e_3,e_5,e_4) ).
cnf(u2155,axiom,
product2(e_3,e_5,e_2) ).
cnf(u2163,axiom,
~ product2(e_2,e_5,e_5) ).
cnf(u2171,axiom,
~ product2(e_2,e_5,e_3) ).
cnf(u2180,axiom,
product2(e_2,e_5,e_1) ).
cnf(u2184,axiom,
~ product2(e_1,e_5,e_5) ).
cnf(u2189,axiom,
product2(e_1,e_5,e_4) ).
cnf(u2192,axiom,
~ product2(e_1,e_5,e_3) ).
cnf(u2196,axiom,
~ product2(e_1,e_5,e_2) ).
cnf(u2581,axiom,
( ~ product2(X0,e_1,e_2)
| equalish(X0,e_4) ) ).
cnf(u56,axiom,
( ~ product1(X0,X1,X0)
| equalish(X1,X0) ) ).
cnf(u1747,negated_conjecture,
( ~ product2(X0,e_2,e_4)
| equalish(X0,e_5) ) ).
cnf(product2_idempotence,axiom,
product2(X0,X0,X0) ).
cnf(u1338,axiom,
( ~ product1(X0,e_2,e_3)
| equalish(X0,e_4) ) ).
cnf(u2493,axiom,
( ~ product1(e_5,X0,e_1)
| equalish(X0,e_2) ) ).
cnf(u2589,axiom,
( ~ product2(e_3,e_1,X0)
| equalish(X0,e_4) ) ).
cnf(u2497,axiom,
( ~ product1(X0,e_2,e_4)
| equalish(X0,e_3) ) ).
cnf(u1795,axiom,
( ~ product1(e_3,X0,e_5)
| equalish(X0,e_4) ) ).
cnf(u2520,negated_conjecture,
( ~ product1(e_4,X0,e_1)
| product2(e_2,X0,e_4) ) ).
cnf(u1339,axiom,
( ~ product1(e_4,X0,e_3)
| equalish(X0,e_2) ) ).
cnf(product1_right_cancellation,axiom,
( ~ product1(X0,X3,X2)
| ~ product1(X0,X1,X2)
| equalish(X1,X3) ) ).
cnf(u2205,axiom,
( ~ product1(e_1,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(u2648,axiom,
( ~ product2(e_4,X0,e_5)
| equalish(X0,e_3) ) ).
cnf(u2337,axiom,
( ~ product1(X0,e_3,e_5)
| equalish(X0,e_2) ) ).
cnf(u1341,negated_conjecture,
( ~ product1(e_2,X0,e_4)
| product2(e_3,X0,e_2) ) ).
cnf(u2574,axiom,
( ~ product1(e_1,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u859,negated_conjecture,
product2(e_5,e_2,e_4) ).
cnf(u2510,axiom,
( ~ product1(e_4,X0,e_1)
| equalish(X0,e_3) ) ).
cnf(u2757,axiom,
( ~ product2(e_1,e_5,X0)
| equalish(X0,e_4) ) ).
cnf(u2103,axiom,
( ~ product1(e_1,X0,e_5)
| equalish(X0,e_2) ) ).
cnf(product2_left_cancellation,axiom,
( ~ product2(X3,X1,X2)
| ~ product2(X0,X1,X2)
| equalish(X0,X3) ) ).
cnf(u2691,axiom,
( ~ product2(e_3,e_4,X0)
| equalish(X0,e_1) ) ).
cnf(u52,negated_conjecture,
( ~ product1(X0,X1,X0)
| product2(X0,X1,X0) ) ).
cnf(u2560,axiom,
( ~ product1(e_3,X0,e_1)
| equalish(X0,e_5) ) ).
cnf(u1797,negated_conjecture,
( ~ product1(e_4,X0,e_3)
| product2(e_5,X0,e_4) ) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3) ).
cnf(product2_total_function1,axiom,
( ~ group_element(X1)
| ~ group_element(X0)
| product2(X0,X1,e_1)
| product2(X0,X1,e_2)
| product2(X0,X1,e_3)
| product2(X0,X1,e_4)
| product2(X0,X1,e_5) ) ).
cnf(product1_idempotence,axiom,
product1(X0,X0,X0) ).
cnf(u67,axiom,
( ~ group_element(X0)
| product1(X0,e_2,e_1)
| product1(X0,e_2,e_2)
| product1(X0,e_2,e_3)
| product1(X0,e_2,e_4)
| product1(X0,e_2,e_5) ) ).
cnf(e_3_is_not_e_5,axiom,
~ equalish(e_3,e_5) ).
cnf(u70,axiom,
( ~ group_element(X0)
| product1(X0,e_5,e_1)
| product1(X0,e_5,e_2)
| product1(X0,e_5,e_3)
| product1(X0,e_5,e_4)
| product1(X0,e_5,e_5) ) ).
cnf(u2260,axiom,
( ~ product1(X0,e_5,e_2)
| equalish(X0,e_4) ) ).
cnf(e_5_is_not_e_3,axiom,
~ equalish(e_5,e_3) ).
cnf(u69,axiom,
( ~ group_element(X0)
| product1(X0,e_4,e_1)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_3)
| product1(X0,e_4,e_4)
| product1(X0,e_4,e_5) ) ).
cnf(u2057,axiom,
( ~ product1(e_5,X0,e_4)
| equalish(X0,e_1) ) ).
cnf(u2690,axiom,
( ~ product2(e_3,X0,e_1)
| equalish(X0,e_4) ) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1) ).
cnf(u2900,axiom,
( ~ product2(e_3,e_2,X0)
| equalish(X0,e_5) ) ).
cnf(e_2_is_not_e_5,axiom,
~ equalish(e_2,e_5) ).
cnf(u2721,axiom,
( ~ product2(e_4,e_5,X0)
| equalish(X0,e_3) ) ).
cnf(element_4,axiom,
group_element(e_4) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2) ).
cnf(u2207,negated_conjecture,
( ~ product1(e_3,X0,e_1)
| product2(e_4,X0,e_3) ) ).
cnf(u2483,negated_conjecture,
( ~ product2(e_2,X0,e_3)
| equalish(X0,e_4) ) ).
cnf(u2613,axiom,
( ~ product2(e_5,e_1,X0)
| equalish(X0,e_3) ) ).
cnf(u2594,axiom,
( ~ product2(e_2,X0,e_5)
| equalish(X0,e_1) ) ).
cnf(u2669,axiom,
( ~ product2(e_2,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(u2309,axiom,
( ~ product1(X0,e_1,e_5)
| equalish(X0,e_4) ) ).
cnf(u2345,axiom,
( ~ product1(e_2,e_4,X0)
| equalish(X0,e_1) ) ).
cnf(u2621,axiom,
( ~ product2(e_4,X0,e_1)
| equalish(X0,e_2) ) ).
cnf(u2582,axiom,
( ~ product2(e_4,X0,e_2)
| equalish(X0,e_1) ) ).
cnf(u2569,negated_conjecture,
( ~ product1(e_5,X0,e_2)
| product2(e_4,X0,e_5) ) ).
cnf(u2518,axiom,
( ~ product1(e_1,X0,e_2)
| equalish(X0,e_4) ) ).
cnf(u1142,negated_conjecture,
product2(e_2,e_4,e_3) ).
cnf(u222,axiom,
( ~ group_element(X0)
| product2(X0,e_3,e_1)
| product2(X0,e_3,e_2)
| product2(X0,e_3,e_3)
| product2(X0,e_3,e_4)
| product2(X0,e_3,e_5) ) ).
cnf(u221,axiom,
( ~ group_element(X0)
| product2(X0,e_2,e_1)
| product2(X0,e_2,e_2)
| product2(X0,e_2,e_3)
| product2(X0,e_2,e_4)
| product2(X0,e_2,e_5) ) ).
cnf(u2561,axiom,
( ~ product1(e_3,e_5,X0)
| equalish(X0,e_1) ) ).
cnf(u2595,axiom,
( ~ product2(e_2,e_1,X0)
| equalish(X0,e_5) ) ).
cnf(u1794,axiom,
( ~ product1(X0,e_4,e_5)
| equalish(X0,e_3) ) ).
cnf(u2206,axiom,
( ~ product1(e_1,e_3,X0)
| equalish(X0,e_4) ) ).
cnf(u2559,axiom,
( ~ product1(X0,e_5,e_1)
| equalish(X0,e_3) ) ).
cnf(u2898,axiom,
( ~ product2(X0,e_2,e_5)
| equalish(X0,e_3) ) ).
cnf(u2484,negated_conjecture,
( ~ product2(e_2,e_4,X0)
| equalish(X0,e_3) ) ).
cnf(u2059,negated_conjecture,
( ~ product1(e_1,X0,e_5)
| product2(e_4,X0,e_1) ) ).
cnf(u2262,axiom,
( ~ product1(e_4,e_5,X0)
| equalish(X0,e_2) ) ).
cnf(u2548,axiom,
( ~ product1(e_5,X0,e_3)
| equalish(X0,e_4) ) ).
cnf(u2689,axiom,
( ~ product2(X0,e_4,e_1)
| equalish(X0,e_3) ) ).
cnf(u2694,axiom,
( ~ product2(e_1,e_4,X0)
| equalish(X0,e_5) ) ).
cnf(u2746,axiom,
( ~ product2(X0,e_5,e_1)
| equalish(X0,e_2) ) ).
cnf(u2491,negated_conjecture,
( ~ product1(e_1,X0,e_2)
| product2(e_3,X0,e_1) ) ).
cnf(u2494,axiom,
( ~ product1(e_5,e_2,X0)
| equalish(X0,e_1) ) ).
cnf(u2662,axiom,
( ~ product2(X0,e_2,e_3)
| equalish(X0,e_1) ) ).
cnf(u58,axiom,
( ~ product1(X0,X1,X1)
| equalish(X0,X1) ) ).
cnf(u2318,axiom,
( ~ product1(e_3,e_1,X0)
| equalish(X0,e_2) ) ).
cnf(u60,axiom,
( ~ product2(X0,X0,X1)
| equalish(X1,X0) ) ).
cnf(u2338,axiom,
( ~ product1(e_2,X0,e_5)
| equalish(X0,e_3) ) ).
cnf(qg2a,negated_conjecture,
( ~ product1(X2,X0,X3)
| ~ product1(X0,X1,X2)
| product2(X3,X1,X0) ) ).
cnf(u54,axiom,
( ~ product1(X0,X0,X1)
| equalish(X1,X0) ) ).
cnf(u2588,axiom,
( ~ product2(e_3,X0,e_4)
| equalish(X0,e_1) ) ).
cnf(e_5_is_not_e_4,axiom,
~ equalish(e_5,e_4) ).
cnf(product2_total_function2,axiom,
( ~ product2(X0,X1,X3)
| ~ product2(X0,X1,X2)
| equalish(X2,X3) ) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2) ).
cnf(u2612,axiom,
( ~ product2(e_5,X0,e_3)
| equalish(X0,e_1) ) ).
cnf(u2670,axiom,
( ~ product2(e_2,e_3,X0)
| equalish(X0,e_4) ) ).
cnf(u1749,negated_conjecture,
( ~ product2(e_5,e_2,X0)
| equalish(X0,e_4) ) ).
cnf(u2573,axiom,
( ~ product1(X0,e_5,e_3)
| equalish(X0,e_1) ) ).
cnf(u2339,axiom,
( ~ product1(e_2,e_3,X0)
| equalish(X0,e_5) ) ).
cnf(u2649,axiom,
( ~ product2(e_4,e_3,X0)
| equalish(X0,e_5) ) ).
cnf(u2622,axiom,
( ~ product2(e_4,e_2,X0)
| equalish(X0,e_1) ) ).
cnf(u2756,axiom,
( ~ product2(e_1,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(u2748,axiom,
( ~ product2(e_2,e_5,X0)
| equalish(X0,e_1) ) ).
cnf(u2675,axiom,
( ~ product2(e_5,X0,e_2)
| equalish(X0,e_4) ) ).
cnf(u2319,negated_conjecture,
( ~ product1(e_1,X0,e_3)
| product2(e_2,X0,e_1) ) ).
cnf(u2593,axiom,
( ~ product2(X0,e_1,e_5)
| equalish(X0,e_2) ) ).
cnf(u2504,axiom,
( ~ product1(X0,e_3,e_2)
| equalish(X0,e_5) ) ).
cnf(u2676,axiom,
( ~ product2(e_5,e_4,X0)
| equalish(X0,e_2) ) ).
cnf(u2498,axiom,
( ~ product1(e_3,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(u2575,axiom,
( ~ product1(e_1,e_5,X0)
| equalish(X0,e_3) ) ).
cnf(u2562,negated_conjecture,
( ~ product1(e_5,X0,e_3)
| product2(e_1,X0,e_5) ) ).
cnf(u2500,negated_conjecture,
( ~ product1(e_2,X0,e_3)
| product2(e_4,X0,e_2) ) ).
cnf(u2343,axiom,
( ~ product1(X0,e_4,e_1)
| equalish(X0,e_2) ) ).
cnf(u64,axiom,
( ~ product2(X0,X1,X1)
| equalish(X0,X1) ) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1) ).
cnf(u2512,negated_conjecture,
( ~ product1(e_3,X0,e_4)
| product2(e_1,X0,e_3) ) ).
cnf(u2261,axiom,
( ~ product1(e_4,X0,e_2)
| equalish(X0,e_5) ) ).
cnf(e_4_is_not_e_5,axiom,
~ equalish(e_4,e_5) ).
cnf(u2647,axiom,
( ~ product2(X0,e_3,e_5)
| equalish(X0,e_4) ) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2) ).
cnf(u223,axiom,
( ~ group_element(X0)
| product2(X0,e_4,e_1)
| product2(X0,e_4,e_2)
| product2(X0,e_4,e_3)
| product2(X0,e_4,e_4)
| product2(X0,e_4,e_5) ) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1) ).
cnf(u2693,axiom,
( ~ product2(e_1,X0,e_5)
| equalish(X0,e_4) ) ).
cnf(element_1,axiom,
group_element(e_1) ).
cnf(u2104,axiom,
( ~ product1(e_1,e_2,X0)
| equalish(X0,e_5) ) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4) ).
cnf(u2511,axiom,
( ~ product1(e_4,e_3,X0)
| equalish(X0,e_1) ) ).
cnf(u2645,axiom,
( ~ product2(e_5,X0,e_1)
| equalish(X0,e_3) ) ).
cnf(u2517,axiom,
( ~ product1(X0,e_4,e_2)
| equalish(X0,e_1) ) ).
cnf(u2311,axiom,
( ~ product1(e_4,e_1,X0)
| equalish(X0,e_5) ) ).
cnf(u1796,axiom,
( ~ product1(e_3,e_4,X0)
| equalish(X0,e_5) ) ).
cnf(u2899,axiom,
( ~ product2(e_3,X0,e_5)
| equalish(X0,e_2) ) ).
cnf(u1340,axiom,
( ~ product1(e_4,e_2,X0)
| equalish(X0,e_3) ) ).
cnf(u2506,axiom,
( ~ product1(e_5,e_3,X0)
| equalish(X0,e_2) ) ).
cnf(u2507,negated_conjecture,
( ~ product1(e_3,X0,e_5)
| product2(e_2,X0,e_3) ) ).
cnf(u2668,axiom,
( ~ product2(X0,e_3,e_4)
| equalish(X0,e_2) ) ).
cnf(u2344,axiom,
( ~ product1(e_2,X0,e_1)
| equalish(X0,e_4) ) ).
cnf(u2509,axiom,
( ~ product1(X0,e_3,e_1)
| equalish(X0,e_4) ) ).
cnf(u2566,axiom,
( ~ product1(X0,e_5,e_4)
| equalish(X0,e_2) ) ).
cnf(u224,axiom,
( ~ group_element(X0)
| product2(X0,e_5,e_1)
| product2(X0,e_5,e_2)
| product2(X0,e_5,e_3)
| product2(X0,e_5,e_4)
| product2(X0,e_5,e_5) ) ).
cnf(u2620,axiom,
( ~ product2(X0,e_2,e_1)
| equalish(X0,e_4) ) ).
cnf(u2340,negated_conjecture,
( ~ product1(e_3,X0,e_2)
| product2(e_5,X0,e_3) ) ).
cnf(u2568,axiom,
( ~ product1(e_2,e_5,X0)
| equalish(X0,e_4) ) ).
cnf(u2755,axiom,
( ~ product2(X0,e_5,e_4)
| equalish(X0,e_1) ) ).
cnf(u2747,axiom,
( ~ product2(e_2,X0,e_1)
| equalish(X0,e_5) ) ).
cnf(u2488,axiom,
( ~ product1(X0,e_1,e_3)
| equalish(X0,e_2) ) ).
cnf(u2587,axiom,
( ~ product2(X0,e_1,e_4)
| equalish(X0,e_3) ) ).
cnf(u2204,axiom,
( ~ product1(X0,e_3,e_4)
| equalish(X0,e_1) ) ).
cnf(u2482,negated_conjecture,
( ~ product2(X0,e_4,e_3)
| equalish(X0,e_2) ) ).
cnf(u2576,negated_conjecture,
( ~ product1(e_5,X0,e_1)
| product2(e_3,X0,e_5) ) ).
cnf(u2312,negated_conjecture,
( ~ product1(e_1,X0,e_4)
| product2(e_5,X0,e_1) ) ).
cnf(u62,axiom,
( ~ product2(X0,X1,X0)
| equalish(X1,X0) ) ).
cnf(u2489,axiom,
( ~ product1(e_2,X0,e_3)
| equalish(X0,e_1) ) ).
cnf(u1748,negated_conjecture,
( ~ product2(e_5,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(product2_right_cancellation,axiom,
( ~ product2(X0,X3,X2)
| ~ product2(X0,X1,X2)
| equalish(X1,X3) ) ).
cnf(u55,axiom,
equalish(X0,X0) ).
cnf(product1_total_function2,axiom,
( ~ product1(X0,X1,X3)
| ~ product1(X0,X1,X2)
| equalish(X2,X3) ) ).
cnf(u2646,axiom,
( ~ product2(e_5,e_3,X0)
| equalish(X0,e_1) ) ).
cnf(product1_total_function1,axiom,
( ~ group_element(X1)
| ~ group_element(X0)
| product1(X0,X1,e_1)
| product1(X0,X1,e_2)
| product1(X0,X1,e_3)
| product1(X0,X1,e_4)
| product1(X0,X1,e_5) ) ).
cnf(u2547,axiom,
( ~ product1(X0,e_4,e_3)
| equalish(X0,e_5) ) ).
cnf(product1_left_cancellation,axiom,
( ~ product1(X3,X1,X2)
| ~ product1(X0,X1,X2)
| equalish(X0,X3) ) ).
cnf(u66,axiom,
( ~ group_element(X0)
| product1(X0,e_1,e_1)
| product1(X0,e_1,e_2)
| product1(X0,e_1,e_3)
| product1(X0,e_1,e_4)
| product1(X0,e_1,e_5) ) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3) ).
cnf(u2674,axiom,
( ~ product2(X0,e_4,e_2)
| equalish(X0,e_5) ) ).
cnf(u2549,axiom,
( ~ product1(e_5,e_4,X0)
| equalish(X0,e_3) ) ).
cnf(e_5_is_not_e_2,axiom,
~ equalish(e_5,e_2) ).
cnf(u2102,axiom,
( ~ product1(X0,e_2,e_5)
| equalish(X0,e_1) ) ).
cnf(u68,axiom,
( ~ group_element(X0)
| product1(X0,e_3,e_1)
| product1(X0,e_3,e_2)
| product1(X0,e_3,e_3)
| product1(X0,e_3,e_4)
| product1(X0,e_3,e_5) ) ).
cnf(e_5_is_not_e_1,axiom,
~ equalish(e_5,e_1) ).
cnf(u2056,axiom,
( ~ product1(X0,e_1,e_4)
| equalish(X0,e_5) ) ).
cnf(e_1_is_not_e_5,axiom,
~ equalish(e_1,e_5) ).
cnf(u2711,axiom,
( ~ product2(e_1,X0,e_2)
| equalish(X0,e_3) ) ).
cnf(u2733,axiom,
( ~ product2(e_3,e_5,X0)
| equalish(X0,e_2) ) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4) ).
cnf(u2712,axiom,
( ~ product2(e_1,e_3,X0)
| equalish(X0,e_2) ) ).
cnf(element_3,axiom,
group_element(e_3) ).
cnf(element_2,axiom,
group_element(e_2) ).
cnf(u2731,axiom,
( ~ product2(X0,e_5,e_2)
| equalish(X0,e_3) ) ).
cnf(u2346,negated_conjecture,
( ~ product1(e_4,X0,e_2)
| product2(e_1,X0,e_4) ) ).
cnf(u2567,axiom,
( ~ product1(e_2,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(u2495,negated_conjecture,
( ~ product1(e_2,X0,e_5)
| product2(e_1,X0,e_2) ) ).
cnf(u2720,axiom,
( ~ product2(e_4,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u2317,axiom,
( ~ product1(e_3,X0,e_2)
| equalish(X0,e_1) ) ).
cnf(u2692,axiom,
( ~ product2(X0,e_4,e_5)
| equalish(X0,e_1) ) ).
cnf(u2664,axiom,
( ~ product2(e_1,e_2,X0)
| equalish(X0,e_3) ) ).
cnf(u2490,axiom,
( ~ product1(e_2,e_1,X0)
| equalish(X0,e_3) ) ).
cnf(u2732,axiom,
( ~ product2(e_3,X0,e_2)
| equalish(X0,e_5) ) ).
cnf(u2492,axiom,
( ~ product1(X0,e_2,e_1)
| equalish(X0,e_5) ) ).
cnf(u2263,negated_conjecture,
( ~ product1(e_5,X0,e_4)
| product2(e_2,X0,e_5) ) ).
cnf(u2611,axiom,
( ~ product2(X0,e_1,e_3)
| equalish(X0,e_5) ) ).
cnf(u2644,axiom,
( ~ product2(X0,e_3,e_1)
| equalish(X0,e_5) ) ).
cnf(u220,axiom,
( ~ group_element(X0)
| product2(X0,e_1,e_1)
| product2(X0,e_1,e_2)
| product2(X0,e_1,e_3)
| product2(X0,e_1,e_4)
| product2(X0,e_1,e_5) ) ).
cnf(u2316,axiom,
( ~ product1(X0,e_1,e_2)
| equalish(X0,e_3) ) ).
cnf(u2663,axiom,
( ~ product2(e_1,X0,e_3)
| equalish(X0,e_2) ) ).
cnf(element_5,axiom,
group_element(e_5) ).
cnf(u2310,axiom,
( ~ product1(e_4,X0,e_5)
| equalish(X0,e_1) ) ).
cnf(u2719,axiom,
( ~ product2(X0,e_5,e_3)
| equalish(X0,e_4) ) ).
cnf(u2710,axiom,
( ~ product2(X0,e_3,e_2)
| equalish(X0,e_1) ) ).
cnf(u2519,axiom,
( ~ product1(e_1,e_4,X0)
| equalish(X0,e_2) ) ).
cnf(u2505,axiom,
( ~ product1(e_5,X0,e_2)
| equalish(X0,e_3) ) ).
cnf(u2583,axiom,
( ~ product2(e_4,e_1,X0)
| equalish(X0,e_2) ) ).
cnf(u2058,axiom,
( ~ product1(e_5,e_1,X0)
| equalish(X0,e_4) ) ).
cnf(u2499,axiom,
( ~ product1(e_3,e_2,X0)
| equalish(X0,e_4) ) ).
cnf(u2550,negated_conjecture,
( ~ product1(e_4,X0,e_5)
| product2(e_3,X0,e_4) ) ).
cnf(u2105,negated_conjecture,
( ~ product1(e_2,X0,e_1)
| product2(e_5,X0,e_2) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP124-7.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.37 % Computer : n011.cluster.edu
% 0.12/0.37 % Model : x86_64 x86_64
% 0.12/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.37 % Memory : 8046.5625MB
% 0.12/0.37 % OS : Linux 6.8.0-71-generic
% 0.12/0.37 % CPULimit : 300
% 0.12/0.37 % WCLimit : 300
% 0.12/0.37 % DateTime : Sun Sep 27 09:21:30 UTC 2026
% 0.12/0.38 % CPUTime :
% 0.12/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.41 Running first-order theorem proving
% 0.12/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 4.17/1.55 % (2143259)Input is clausal, will run a generic CNF schedule.
% 4.17/1.55 % (2143266)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1819502442:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 4.17/1.55 % (2143265)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=913480484:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 4.17/1.55 % (2143267)lrs+10_1_sil=8000:sp=occurrence:random_seed=189988101:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 4.17/1.55 % (2143264)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=112055942:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 4.17/1.55 % (2143270)dis-21_1_sil=8000:lcm=predicate:random_seed=2722998234: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)
% 4.17/1.55 % (2143268)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1549466359:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 4.17/1.55 % (2143269)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3583150304:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 4.17/1.55 % (2143267)Instruction limit reached!
% 4.17/1.55 % (2143267)------------------------------
% 4.17/1.55 % (2143267)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.55 % (2143267)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.55 % (2143267)CaDiCaL version: 2.1.3
% 4.17/1.55 % (2143267)Termination reason: Instruction limit
% 4.17/1.55 % (2143267)Termination phase: Saturation
% 4.17/1.55 % (2143267)Time elapsed: 0.059 s
% 4.17/1.55 % (2143267)Peak memory usage: 88 MB
% 4.17/1.55 % (2143267)Instructions burned: 108 (million)
% 4.17/1.55 % (2143268)Instruction limit reached!
% 4.17/1.55 % (2143268)------------------------------
% 4.17/1.55 % (2143268)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.55 % (2143268)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.55 % (2143268)CaDiCaL version: 2.1.3
% 4.17/1.55 % (2143268)Termination reason: Instruction limit
% 4.17/1.55 % (2143268)Termination phase: Saturation
% 4.17/1.55 % (2143268)Time elapsed: 0.059 s
% 4.17/1.55 % (2143268)Peak memory usage: 88 MB
% 4.17/1.55 % (2143268)Instructions burned: 115 (million)
% 4.17/1.55 % (2143270)Instruction limit reached!
% 4.17/1.55 % (2143270)------------------------------
% 4.17/1.55 % (2143270)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.55 % (2143270)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.55 % (2143270)CaDiCaL version: 2.1.3
% 4.17/1.55 % (2143270)Termination reason: Instruction limit
% 4.17/1.55 % (2143270)Termination phase: Saturation
% 4.17/1.55 % (2143270)Time elapsed: 0.070 s
% 4.17/1.55 % (2143270)Peak memory usage: 89 MB
% 4.17/1.55 % (2143270)Instructions burned: 117 (million)
% 4.17/1.55 % (2143269)Instruction limit reached!
% 4.17/1.55 % (2143269)------------------------------
% 4.17/1.55 % (2143269)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.55 % (2143269)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.55 % (2143269)CaDiCaL version: 2.1.3
% 4.17/1.55 % (2143269)Termination reason: Instruction limit
% 4.17/1.55 % (2143269)Termination phase: Saturation
% 4.17/1.55 % (2143269)Time elapsed: 0.111 s
% 4.17/1.55 % (2143269)Peak memory usage: 89 MB
% 4.17/1.55 % (2143269)Instructions burned: 181 (million)
% 4.17/1.55 % (2143279)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2657852493: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)
% 4.17/1.55 % (2143279)Refutation not found, incomplete strategy
% 4.17/1.55 % (2143279)------------------------------
% 4.17/1.55 % (2143279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.55 % (2143279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.55 % (2143279)CaDiCaL version: 2.1.3
% 4.17/1.55 % (2143279)Termination reason: Refutation not found, incomplete strategy
% 4.17/1.55 % (2143279)Time elapsed: 0.002 s
% 4.17/1.55 % (2143279)Peak memory usage: 87 MB
% 4.17/1.55 % (2143279)Instructions burned: 1 (million)
% 4.17/1.55 % (2143278)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=1051664552:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 4.17/1.55 % (2143280)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2399478465:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 4.17/1.55 % (2143281)lrs+10_64_to=lpo:sil=8000:random_seed=466376084:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 4.17/1.55 % (2143278)Instruction limit reached!
% 4.17/1.55 % (2143278)------------------------------
% 4.17/1.55 % (2143278)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.55 % (2143278)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.55 % (2143278)CaDiCaL version: 2.1.3
% 4.17/1.55 % (2143278)Termination reason: Instruction limit
% 4.17/1.55 % (2143278)Termination phase: Saturation
% 4.17/1.55 % (2143278)Time elapsed: 0.085 s
% 4.17/1.55 % (2143278)Peak memory usage: 89 MB
% 4.17/1.55 % (2143278)Instructions burned: 143 (million)
% 4.17/1.55 % (2143281)First to succeed.
% 4.17/1.55 % (2143281)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2143259"
% 4.17/1.55 % (2143280)Instruction limit reached!
% 4.17/1.55 % (2143280)------------------------------
% 4.17/1.55 % (2143280)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.55 % (2143280)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.55 % (2143280)CaDiCaL version: 2.1.3
% 4.17/1.55 % (2143280)Termination reason: Instruction limit
% 4.17/1.55 % (2143280)Termination phase: Saturation
% 4.17/1.55 % (2143280)Time elapsed: 0.121 s
% 4.17/1.55 % (2143280)Peak memory usage: 88 MB
% 4.17/1.55 % (2143280)Instructions burned: 220 (million)
% 4.17/1.55 % (2143286)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1465006763:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 4.17/1.55 % (2143279)------------------------------
% 4.17/1.55 % (2143279)------------------------------
% 4.17/1.55 % (2143287)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3117661991:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 4.17/1.55 % (2143287)Instruction limit reached!
% 4.17/1.55 % (2143287)------------------------------
% 4.17/1.55 % (2143287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.55 % (2143287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.55 % (2143287)CaDiCaL version: 2.1.3
% 4.17/1.55 % (2143287)Termination reason: Instruction limit
% 4.17/1.55 % (2143287)Termination phase: Saturation
% 4.17/1.55 % (2143287)Time elapsed: 0.085 s
% 4.17/1.55 % (2143287)Peak memory usage: 89 MB
% 4.17/1.55 % (2143287)Instructions burned: 158 (million)
% 4.17/1.55 % (2143286)Instruction limit reached!
% 4.17/1.55 % (2143286)------------------------------
% 4.17/1.55 % (2143286)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.17/1.55 % (2143286)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.17/1.55 % (2143286)CaDiCaL version: 2.1.3
% 4.17/1.55 % (2143286)Termination reason: Instruction limit
% 4.17/1.55 % (2143286)Termination phase: Saturation
% 4.17/1.55 % (2143286)Time elapsed: 0.121 s
% 4.17/1.55 % (2143286)Peak memory usage: 89 MB
% 4.17/1.55 % (2143286)Instructions burned: 195 (million)
% 4.17/1.55 % SZS status Satisfiable for theBenchmark
% 4.17/1.55 % SZS output start Saturation.
% See solution above
% 5.56/1.75 % SZS output start Definitions and Model Updates.
% 5.56/1.75 for all inputs,
% 5.56/1.75 define next(X0,X1) := $true
% 5.56/1.75 for all inputs,
% 5.56/1.75 define greater(X0,X1) := $true
% 5.56/1.75 for all inputs,
% 5.56/1.75 define product(X0,X1,X2) := $false
% 5.56/1.75 % SZS output end Definitions and Model Updates.
% 5.56/1.75 % (2143281)------------------------------
% 5.56/1.75 % (2143281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.56/1.75 % (2143281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.56/1.75 % (2143281)CaDiCaL version: 2.1.3
% 5.56/1.75 % (2143281)Termination reason: Satisfiable
% 5.56/1.75 % (2143281)Time elapsed: 0.044 s
% 5.56/1.75 % (2143281)Peak memory usage: 88 MB
% 5.56/1.75 % (2143281)Instructions burned: 73 (million)
% 5.56/1.75 % (2143281)------------------------------
% 5.56/1.75 % (2143281)------------------------------
% 5.56/1.75 % (2143259)Success in time 0.706 s
% 5.56/1.75 % Vampire exiting
%------------------------------------------------------------------------------