%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP123-7.005 : 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 : n008.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 10:12:40 AM UTC 2026
% Result : Satisfiable 3.09s 1.82s
% Output : Saturation 5.75s
% 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(u99,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(u112,axiom,
product1(e_4,e_1,e_2) ).
cnf(u115,axiom,
~ product1(e_4,e_1,e_1) ).
cnf(u121,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(u132,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(u299,axiom,
~ product1(e_5,e_2,e_5) ).
cnf(u303,axiom,
~ product1(e_5,e_2,e_4) ).
cnf(u307,axiom,
~ product1(e_5,e_2,e_3) ).
cnf(u311,axiom,
~ product1(e_5,e_2,e_2) ).
cnf(u316,axiom,
product1(e_5,e_2,e_1) ).
cnf(u321,axiom,
product1(e_4,e_2,e_5) ).
cnf(u324,axiom,
~ product1(e_4,e_2,e_4) ).
cnf(u328,axiom,
~ product1(e_4,e_2,e_3) ).
cnf(u332,axiom,
~ product1(e_4,e_2,e_2) ).
cnf(u336,axiom,
~ product1(e_4,e_2,e_1) ).
cnf(u341,axiom,
~ product1(e_3,e_2,e_5) ).
cnf(u346,axiom,
product1(e_3,e_2,e_4) ).
cnf(u349,axiom,
~ product1(e_3,e_2,e_3) ).
cnf(u353,axiom,
~ product1(e_3,e_2,e_2) ).
cnf(u357,axiom,
~ product1(e_3,e_2,e_1) ).
cnf(u362,axiom,
~ product1(e_1,e_2,e_5) ).
cnf(u366,axiom,
~ product1(e_1,e_2,e_4) ).
cnf(u371,axiom,
product1(e_1,e_2,e_3) ).
cnf(u374,axiom,
~ product1(e_1,e_2,e_2) ).
cnf(u378,axiom,
~ product1(e_1,e_2,e_1) ).
cnf(u454,axiom,
~ product1(e_5,e_3,e_5) ).
cnf(u458,axiom,
~ product1(e_5,e_3,e_4) ).
cnf(u462,axiom,
~ product1(e_5,e_3,e_3) ).
cnf(u467,axiom,
product1(e_5,e_3,e_2) ).
cnf(u470,axiom,
~ product1(e_5,e_3,e_1) ).
cnf(u475,axiom,
~ product1(e_4,e_3,e_5) ).
cnf(u479,axiom,
~ product1(e_4,e_3,e_4) ).
cnf(u483,axiom,
~ product1(e_4,e_3,e_3) ).
cnf(u487,axiom,
~ product1(e_4,e_3,e_2) ).
cnf(u492,axiom,
product1(e_4,e_3,e_1) ).
cnf(u496,axiom,
~ product1(e_2,e_3,e_5) ).
cnf(u501,axiom,
product1(e_2,e_3,e_4) ).
cnf(u504,axiom,
~ product1(e_2,e_3,e_3) ).
cnf(u508,axiom,
~ product1(e_2,e_3,e_2) ).
cnf(u512,axiom,
~ product1(e_2,e_3,e_1) ).
cnf(u518,axiom,
product1(e_1,e_3,e_5) ).
cnf(u521,axiom,
~ product1(e_1,e_3,e_4) ).
cnf(u525,axiom,
~ product1(e_1,e_3,e_3) ).
cnf(u529,axiom,
~ product1(e_1,e_3,e_2) ).
cnf(u533,axiom,
~ product1(e_1,e_3,e_1) ).
cnf(u675,axiom,
~ product1(e_5,e_4,e_5) ).
cnf(u679,axiom,
~ product1(e_5,e_4,e_4) ).
cnf(u684,axiom,
product1(e_5,e_4,e_3) ).
cnf(u687,axiom,
~ product1(e_5,e_4,e_2) ).
cnf(u691,axiom,
~ product1(e_5,e_4,e_1) ).
cnf(u696,axiom,
~ product1(e_3,e_4,e_5) ).
cnf(u700,axiom,
~ product1(e_3,e_4,e_4) ).
cnf(u704,axiom,
~ product1(e_3,e_4,e_3) ).
cnf(u708,axiom,
~ product1(e_3,e_4,e_2) ).
cnf(u713,axiom,
product1(e_3,e_4,e_1) ).
cnf(u718,axiom,
product1(e_2,e_4,e_5) ).
cnf(u721,axiom,
~ product1(e_2,e_4,e_4) ).
cnf(u725,axiom,
~ product1(e_2,e_4,e_3) ).
cnf(u729,axiom,
~ product1(e_2,e_4,e_2) ).
cnf(u733,axiom,
~ product1(e_2,e_4,e_1) ).
cnf(u738,axiom,
~ product1(e_1,e_4,e_5) ).
cnf(u742,axiom,
~ product1(e_1,e_4,e_4) ).
cnf(u746,axiom,
~ product1(e_1,e_4,e_3) ).
cnf(u751,axiom,
product1(e_1,e_4,e_2) ).
cnf(u754,axiom,
~ product1(e_1,e_4,e_1) ).
cnf(u922,axiom,
~ product1(e_4,e_5,e_5) ).
cnf(u926,axiom,
~ product1(e_4,e_5,e_4) ).
cnf(u931,axiom,
product1(e_4,e_5,e_3) ).
cnf(u934,axiom,
~ product1(e_4,e_5,e_2) ).
cnf(u938,axiom,
~ product1(e_4,e_5,e_1) ).
cnf(u943,axiom,
~ product1(e_3,e_5,e_5) ).
cnf(u947,axiom,
~ product1(e_3,e_5,e_4) ).
cnf(u951,axiom,
~ product1(e_3,e_5,e_3) ).
cnf(u956,axiom,
product1(e_3,e_5,e_2) ).
cnf(u959,axiom,
~ product1(e_3,e_5,e_1) ).
cnf(u964,axiom,
~ product1(e_2,e_5,e_5) ).
cnf(u968,axiom,
~ product1(e_2,e_5,e_4) ).
cnf(u972,axiom,
~ product1(e_2,e_5,e_3) ).
cnf(u981,axiom,
product1(e_2,e_5,e_1) ).
cnf(u985,axiom,
~ product1(e_1,e_5,e_5) ).
cnf(u990,axiom,
product1(e_1,e_5,e_4) ).
cnf(u993,axiom,
~ product1(e_1,e_5,e_3) ).
cnf(u997,axiom,
~ product1(e_1,e_5,e_2) ).
cnf(u1001,axiom,
~ product1(e_1,e_5,e_1) ).
cnf(u1175,axiom,
product2(e_5,e_1,e_4) ).
cnf(u1178,axiom,
~ product2(e_5,e_1,e_3) ).
cnf(u1182,axiom,
~ product2(e_5,e_1,e_2) ).
cnf(u1192,axiom,
product2(e_3,e_1,e_5) ).
cnf(u1195,axiom,
~ product2(e_3,e_1,e_4) ).
cnf(u1199,axiom,
~ product2(e_3,e_1,e_3) ).
cnf(u1203,axiom,
~ product2(e_3,e_1,e_2) ).
cnf(u1207,axiom,
~ product2(e_3,e_1,e_1) ).
cnf(u1212,axiom,
~ product2(e_2,e_1,e_5) ).
cnf(u1221,axiom,
product2(e_2,e_1,e_3) ).
cnf(u1385,axiom,
product2(e_4,e_2,e_5) ).
cnf(u1388,axiom,
~ product2(e_4,e_2,e_4) ).
cnf(u1400,axiom,
~ product2(e_4,e_2,e_1) ).
cnf(u1405,axiom,
~ product2(e_3,e_2,e_5) ).
cnf(u1410,axiom,
product2(e_3,e_2,e_4) ).
cnf(u1421,axiom,
~ product2(e_3,e_2,e_1) ).
cnf(u1566,axiom,
~ product2(e_4,e_1,e_5) ).
cnf(u1574,axiom,
~ product2(e_4,e_1,e_3) ).
cnf(u1579,axiom,
product2(e_4,e_1,e_2) ).
cnf(u1647,axiom,
~ product2(e_2,e_3,e_5) ).
cnf(u1652,axiom,
product2(e_2,e_3,e_4) ).
cnf(u1655,axiom,
~ product2(e_2,e_3,e_3) ).
cnf(u1659,axiom,
~ product2(e_2,e_3,e_2) ).
cnf(u1663,axiom,
~ product2(e_2,e_3,e_1) ).
cnf(u1669,axiom,
product2(e_1,e_3,e_5) ).
cnf(u1676,axiom,
~ product2(e_1,e_3,e_3) ).
cnf(u1680,axiom,
~ product2(e_1,e_3,e_2) ).
cnf(u1850,axiom,
product2(e_2,e_4,e_5) ).
cnf(u1857,axiom,
~ product2(e_2,e_4,e_3) ).
cnf(u1865,axiom,
~ product2(e_2,e_4,e_1) ).
cnf(u1989,axiom,
~ product2(e_5,e_4,e_5) ).
cnf(u1998,axiom,
product2(e_5,e_4,e_3) ).
cnf(u2001,axiom,
~ product2(e_5,e_4,e_2) ).
cnf(u2005,axiom,
~ product2(e_5,e_4,e_1) ).
cnf(u2048,axiom,
~ product2(e_5,e_2,e_4) ).
cnf(u2052,axiom,
~ product2(e_5,e_2,e_3) ).
cnf(u2061,axiom,
product2(e_5,e_2,e_1) ).
cnf(u2065,axiom,
~ product2(e_4,e_3,e_5) ).
cnf(u2069,axiom,
~ product2(e_4,e_3,e_4) ).
cnf(u2073,axiom,
~ product2(e_4,e_3,e_3) ).
cnf(u2077,axiom,
~ product2(e_4,e_3,e_2) ).
cnf(u2082,axiom,
product2(e_4,e_3,e_1) ).
cnf(u2107,axiom,
~ product2(e_3,e_4,e_5) ).
cnf(u2111,axiom,
~ product2(e_3,e_4,e_4) ).
cnf(u2115,axiom,
~ product2(e_3,e_4,e_3) ).
cnf(u2119,axiom,
~ product2(e_3,e_4,e_2) ).
cnf(u2124,axiom,
product2(e_3,e_4,e_1) ).
cnf(u2166,axiom,
~ product2(e_2,e_5,e_3) ).
cnf(u2170,axiom,
~ product2(e_2,e_5,e_2) ).
cnf(u2175,axiom,
product2(e_2,e_5,e_1) ).
cnf(u2212,axiom,
~ product2(e_1,e_2,e_5) ).
cnf(u2221,axiom,
product2(e_1,e_2,e_3) ).
cnf(u2549,axiom,
~ product2(e_5,e_3,e_4) ).
cnf(u2558,axiom,
product2(e_5,e_3,e_2) ).
cnf(u2561,axiom,
~ product2(e_5,e_3,e_1) ).
cnf(u2566,axiom,
~ product2(e_1,e_4,e_5) ).
cnf(u2574,axiom,
~ product2(e_1,e_4,e_3) ).
cnf(u2579,axiom,
product2(e_1,e_4,e_2) ).
cnf(u2582,axiom,
~ product2(e_1,e_4,e_1) ).
cnf(u2615,axiom,
~ product2(e_3,e_5,e_5) ).
cnf(u2619,axiom,
~ product2(e_3,e_5,e_4) ).
cnf(u2623,axiom,
~ product2(e_3,e_5,e_3) ).
cnf(u2628,axiom,
product2(e_3,e_5,e_2) ).
cnf(u2631,axiom,
~ product2(e_3,e_5,e_1) ).
cnf(u2636,axiom,
~ product2(e_4,e_5,e_5) ).
cnf(u2640,axiom,
~ product2(e_4,e_5,e_4) ).
cnf(u2645,axiom,
product2(e_4,e_5,e_3) ).
cnf(u2648,axiom,
~ product2(e_4,e_5,e_2) ).
cnf(u2652,axiom,
~ product2(e_4,e_5,e_1) ).
cnf(u2669,negated_conjecture,
( ~ product1(X0,e_1,e_2)
| product2(e_3,X0,e_1) ) ).
cnf(u1519,negated_conjecture,
( ~ product2(X0,e_5,e_4)
| equalish(X0,e_1) ) ).
cnf(u2994,axiom,
( ~ product2(e_3,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(u2739,axiom,
( ~ product2(X0,e_2,e_1)
| equalish(X0,e_5) ) ).
cnf(u3233,negated_conjecture,
( ~ product1(X0,e_5,e_3)
| product2(e_2,X0,e_5) ) ).
cnf(u56,axiom,
( ~ product1(X0,X1,X0)
| equalish(X1,X0) ) ).
cnf(product2_idempotence,axiom,
product2(X0,X0,X0) ).
cnf(u2746,axiom,
( ~ product2(e_2,X0,e_1)
| equalish(X0,e_5) ) ).
cnf(u1518,negated_conjecture,
product2(e_1,e_5,e_4) ).
cnf(u3228,negated_conjecture,
( ~ product1(X0,e_5,e_4)
| product2(e_3,X0,e_5) ) ).
cnf(u1520,negated_conjecture,
( ~ product2(e_1,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(u3266,axiom,
( ~ product2(e_5,X0,e_2)
| equalish(X0,e_3) ) ).
cnf(u2668,axiom,
( ~ product1(e_2,e_1,X0)
| equalish(X0,e_3) ) ).
cnf(u3194,axiom,
( ~ product1(e_5,X0,e_1)
| equalish(X0,e_2) ) ).
cnf(u3418,negated_conjecture,
( ~ product1(X0,e_2,e_1)
| product2(e_3,X0,e_2) ) ).
cnf(u3121,axiom,
( ~ product2(e_2,X0,e_3)
| equalish(X0,e_1) ) ).
cnf(u3231,axiom,
( ~ product1(e_3,X0,e_2)
| equalish(X0,e_5) ) ).
cnf(u3241,axiom,
( ~ product2(X0,e_2,e_5)
| equalish(X0,e_4) ) ).
cnf(u3200,axiom,
( ~ product1(e_4,e_2,X0)
| equalish(X0,e_5) ) ).
cnf(u3093,axiom,
( ~ product1(e_5,X0,e_2)
| equalish(X0,e_3) ) ).
cnf(u3232,axiom,
( ~ product1(e_3,e_5,X0)
| equalish(X0,e_2) ) ).
cnf(u3132,axiom,
( ~ product2(X0,e_5,e_3)
| equalish(X0,e_4) ) ).
cnf(u3104,axiom,
( ~ product1(e_1,X0,e_2)
| equalish(X0,e_4) ) ).
cnf(u3126,axiom,
( ~ product2(X0,e_3,e_4)
| equalish(X0,e_2) ) ).
cnf(u3312,axiom,
( ~ product2(X0,e_1,e_5)
| equalish(X0,e_3) ) ).
cnf(u3156,axiom,
( ~ product2(X0,e_4,e_3)
| equalish(X0,e_5) ) ).
cnf(product2_left_cancellation,axiom,
( ~ product2(X3,X1,X2)
| ~ product2(X0,X1,X2)
| equalish(X0,X3) ) ).
cnf(u52,negated_conjecture,
( ~ product1(X0,X1,X1)
| product2(X1,X0,X1) ) ).
cnf(u3152,axiom,
( ~ product1(e_4,X0,e_1)
| equalish(X0,e_3) ) ).
cnf(u3204,axiom,
( ~ product1(e_3,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(product1_right_cancellation,axiom,
( ~ product1(X0,X3,X2)
| ~ product1(X0,X1,X2)
| equalish(X1,X3) ) ).
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(u1514,axiom,
( ~ product1(X0,e_4,e_1)
| equalish(X0,e_3) ) ).
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(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(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1) ).
cnf(e_2_is_not_e_5,axiom,
~ equalish(e_2,e_5) ).
cnf(element_4,axiom,
group_element(e_4) ).
cnf(u3323,axiom,
( ~ product2(e_1,e_4,X0)
| equalish(X0,e_2) ) ).
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(u3299,negated_conjecture,
( ~ product1(X0,e_1,e_5)
| product2(e_4,X0,e_1) ) ).
cnf(u3099,axiom,
( ~ product1(e_1,X0,e_5)
| equalish(X0,e_3) ) ).
cnf(u3301,axiom,
( ~ product1(X0,e_1,e_2)
| equalish(X0,e_4) ) ).
cnf(u3322,axiom,
( ~ product2(e_1,X0,e_2)
| equalish(X0,e_4) ) ).
cnf(u2902,axiom,
( ~ product1(e_2,X0,e_1)
| equalish(X0,e_5) ) ).
cnf(u3267,axiom,
( ~ product2(e_5,e_3,X0)
| equalish(X0,e_2) ) ).
cnf(u1967,axiom,
( ~ product2(e_1,X0,e_5)
| equalish(X0,e_3) ) ).
cnf(u3281,axiom,
( ~ product2(e_4,e_3,X0)
| equalish(X0,e_1) ) ).
cnf(u3298,axiom,
( ~ product1(e_5,e_1,X0)
| equalish(X0,e_4) ) ).
cnf(u3098,axiom,
( ~ product1(X0,e_3,e_5)
| equalish(X0,e_1) ) ).
cnf(u3198,axiom,
( ~ product1(X0,e_2,e_5)
| equalish(X0,e_4) ) ).
cnf(u1517,negated_conjecture,
( ~ product1(X0,e_4,e_3)
| product2(e_1,X0,e_4) ) ).
cnf(u3101,negated_conjecture,
( ~ product1(X0,e_3,e_1)
| product2(e_5,X0,e_3) ) ).
cnf(u3128,axiom,
( ~ product2(e_2,e_3,X0)
| equalish(X0,e_4) ) ).
cnf(u3297,axiom,
( ~ product1(e_5,X0,e_4)
| equalish(X0,e_1) ) ).
cnf(u2929,axiom,
( ~ product1(e_2,X0,e_5)
| equalish(X0,e_4) ) ).
cnf(u3226,axiom,
( ~ product1(e_4,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u1515,axiom,
( ~ product1(e_3,X0,e_1)
| equalish(X0,e_4) ) ).
cnf(u3384,axiom,
( ~ product2(X0,e_5,e_2)
| equalish(X0,e_3) ) ).
cnf(u3122,axiom,
( ~ product2(e_2,e_1,X0)
| equalish(X0,e_3) ) ).
cnf(u3239,negated_conjecture,
( ~ product1(X0,e_5,e_1)
| product2(e_4,X0,e_5) ) ).
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(u3249,axiom,
( ~ product2(e_2,e_4,X0)
| equalish(X0,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(u2285,axiom,
( ~ product1(e_2,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(u1516,axiom,
( ~ product1(e_3,e_4,X0)
| equalish(X0,e_1) ) ).
cnf(u3302,axiom,
( ~ product1(e_4,X0,e_2)
| equalish(X0,e_1) ) ).
cnf(u2995,axiom,
( ~ product2(e_3,e_2,X0)
| equalish(X0,e_4) ) ).
cnf(u2428,axiom,
( ~ product2(X0,e_2,e_3)
| equalish(X0,e_1) ) ).
cnf(u3280,axiom,
( ~ product2(e_4,X0,e_1)
| equalish(X0,e_3) ) ).
cnf(u3153,axiom,
( ~ product1(e_4,e_3,X0)
| equalish(X0,e_1) ) ).
cnf(u3318,axiom,
( ~ product2(X0,e_4,e_1)
| equalish(X0,e_3) ) ).
cnf(u2930,axiom,
( ~ product1(e_2,e_4,X0)
| equalish(X0,e_5) ) ).
cnf(u2741,axiom,
( ~ product2(e_5,e_2,X0)
| equalish(X0,e_1) ) ).
cnf(u3313,axiom,
( ~ product2(e_3,X0,e_5)
| equalish(X0,e_1) ) ).
cnf(u3158,axiom,
( ~ product2(e_5,e_4,X0)
| equalish(X0,e_3) ) ).
cnf(u58,axiom,
( ~ product1(X0,X1,X1)
| equalish(X0,X1) ) ).
cnf(u60,axiom,
( ~ product2(X0,X0,X1)
| equalish(X1,X0) ) ).
cnf(qg1a,negated_conjecture,
( ~ product1(X2,X1,X3)
| ~ product1(X0,X1,X2)
| product2(X3,X0,X1) ) ).
cnf(u3227,axiom,
( ~ product1(e_4,e_5,X0)
| equalish(X0,e_3) ) ).
cnf(u54,axiom,
( ~ product1(X0,X0,X1)
| equalish(X1,X0) ) ).
cnf(u3157,axiom,
( ~ product2(e_5,X0,e_3)
| equalish(X0,e_4) ) ).
cnf(u2430,axiom,
( ~ product2(e_1,e_2,X0)
| equalish(X0,e_3) ) ).
cnf(u2429,axiom,
( ~ product2(e_1,X0,e_3)
| equalish(X0,e_2) ) ).
cnf(e_5_is_not_e_4,axiom,
~ equalish(e_5,e_4) ).
cnf(u2747,axiom,
( ~ product2(e_2,e_5,X0)
| equalish(X0,e_1) ) ).
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(u3321,axiom,
( ~ product2(X0,e_4,e_2)
| equalish(X0,e_1) ) ).
cnf(u1479,axiom,
( ~ product1(e_5,e_4,X0)
| equalish(X0,e_3) ) ).
cnf(u3206,negated_conjecture,
( ~ product1(X0,e_2,e_3)
| product2(e_4,X0,e_2) ) ).
cnf(u1968,axiom,
( ~ product2(e_1,e_3,X0)
| equalish(X0,e_5) ) ).
cnf(u3304,negated_conjecture,
( ~ product1(X0,e_1,e_4)
| product2(e_2,X0,e_1) ) ).
cnf(u3133,axiom,
( ~ product2(e_4,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u3201,negated_conjecture,
( ~ product1(X0,e_2,e_4)
| product2(e_5,X0,e_2) ) ).
cnf(u2903,axiom,
( ~ product1(e_2,e_5,X0)
| equalish(X0,e_1) ) ).
cnf(u3386,axiom,
( ~ product2(e_3,e_5,X0)
| equalish(X0,e_2) ) ).
cnf(u3116,axiom,
( ~ product2(e_5,e_1,X0)
| equalish(X0,e_4) ) ).
cnf(u3247,axiom,
( ~ product2(X0,e_4,e_5)
| equalish(X0,e_2) ) ).
cnf(u2928,axiom,
( ~ product1(X0,e_4,e_5)
| equalish(X0,e_2) ) ).
cnf(u3415,axiom,
( ~ product1(X0,e_2,e_3)
| equalish(X0,e_1) ) ).
cnf(u2286,axiom,
( ~ product1(e_2,e_3,X0)
| equalish(X0,e_4) ) ).
cnf(u3236,axiom,
( ~ product1(X0,e_5,e_4)
| equalish(X0,e_1) ) ).
cnf(u3422,axiom,
( ~ product2(e_4,e_1,X0)
| equalish(X0,e_2) ) ).
cnf(u3421,axiom,
( ~ product2(e_4,X0,e_2)
| equalish(X0,e_1) ) ).
cnf(u64,axiom,
( ~ product2(X0,X1,X1)
| equalish(X0,X1) ) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1) ).
cnf(u3151,axiom,
( ~ product1(X0,e_3,e_1)
| equalish(X0,e_4) ) ).
cnf(e_4_is_not_e_5,axiom,
~ equalish(e_4,e_5) ).
cnf(u3196,negated_conjecture,
( ~ product1(X0,e_2,e_5)
| product2(e_1,X0,e_2) ) ).
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(u2287,negated_conjecture,
( ~ product1(X0,e_3,e_2)
| product2(e_4,X0,e_3) ) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1) ).
cnf(element_1,axiom,
group_element(e_1) ).
cnf(u2745,axiom,
( ~ product2(X0,e_5,e_1)
| equalish(X0,e_2) ) ).
cnf(u3319,axiom,
( ~ product2(e_3,X0,e_1)
| equalish(X0,e_4) ) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4) ).
cnf(u1478,axiom,
( ~ product1(e_5,X0,e_3)
| equalish(X0,e_4) ) ).
cnf(u1480,negated_conjecture,
( ~ product1(X0,e_4,e_5)
| product2(e_3,X0,e_4) ) ).
cnf(u3314,axiom,
( ~ product2(e_3,e_1,X0)
| equalish(X0,e_5) ) ).
cnf(u3309,axiom,
( ~ product1(e_3,e_1,X0)
| equalish(X0,e_5) ) ).
cnf(u3154,negated_conjecture,
( ~ product1(X0,e_3,e_4)
| product2(e_1,X0,e_3) ) ).
cnf(u3230,axiom,
( ~ product1(X0,e_5,e_2)
| equalish(X0,e_3) ) ).
cnf(u3279,axiom,
( ~ product2(X0,e_3,e_1)
| equalish(X0,e_4) ) ).
cnf(u1521,negated_conjecture,
( ~ product2(e_1,e_5,X0)
| equalish(X0,e_4) ) ).
cnf(u3238,axiom,
( ~ product1(e_1,e_5,X0)
| equalish(X0,e_4) ) ).
cnf(u3105,axiom,
( ~ product1(e_1,e_4,X0)
| equalish(X0,e_2) ) ).
cnf(u2901,axiom,
( ~ product1(X0,e_5,e_1)
| equalish(X0,e_2) ) ).
cnf(u3225,axiom,
( ~ product1(X0,e_5,e_3)
| equalish(X0,e_4) ) ).
cnf(u3416,axiom,
( ~ product1(e_1,X0,e_3)
| equalish(X0,e_2) ) ).
cnf(u3120,axiom,
( ~ product2(X0,e_1,e_3)
| equalish(X0,e_2) ) ).
cnf(u3195,axiom,
( ~ product1(e_5,e_2,X0)
| equalish(X0,e_1) ) ).
cnf(u3203,axiom,
( ~ product1(X0,e_2,e_4)
| equalish(X0,e_3) ) ).
cnf(u2740,axiom,
( ~ product2(e_5,X0,e_1)
| equalish(X0,e_2) ) ).
cnf(u3265,axiom,
( ~ product2(X0,e_3,e_2)
| equalish(X0,e_5) ) ).
cnf(u3205,axiom,
( ~ product1(e_3,e_2,X0)
| equalish(X0,e_4) ) ).
cnf(u3248,axiom,
( ~ product2(e_2,X0,e_5)
| equalish(X0,e_4) ) ).
cnf(u2931,negated_conjecture,
( ~ product1(X0,e_4,e_2)
| product2(e_5,X0,e_4) ) ).
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(u3134,axiom,
( ~ product2(e_4,e_5,X0)
| equalish(X0,e_3) ) ).
cnf(u1477,axiom,
( ~ product1(X0,e_4,e_3)
| equalish(X0,e_5) ) ).
cnf(u3106,negated_conjecture,
( ~ product1(X0,e_4,e_1)
| product2(e_2,X0,e_4) ) ).
cnf(u2284,axiom,
( ~ product1(X0,e_3,e_4)
| equalish(X0,e_2) ) ).
cnf(u3237,axiom,
( ~ product1(e_1,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(u2667,axiom,
( ~ product1(e_2,X0,e_3)
| equalish(X0,e_1) ) ).
cnf(u3199,axiom,
( ~ product1(e_4,X0,e_5)
| equalish(X0,e_2) ) ).
cnf(u3420,axiom,
( ~ product2(X0,e_1,e_2)
| equalish(X0,e_4) ) ).
cnf(u1966,axiom,
( ~ product2(X0,e_3,e_5)
| equalish(X0,e_1) ) ).
cnf(u3385,axiom,
( ~ product2(e_3,X0,e_2)
| equalish(X0,e_5) ) ).
cnf(u3308,axiom,
( ~ product1(e_3,X0,e_5)
| equalish(X0,e_1) ) ).
cnf(u3115,axiom,
( ~ product2(e_5,X0,e_4)
| equalish(X0,e_1) ) ).
cnf(u62,axiom,
( ~ product2(X0,X1,X0)
| equalish(X1,X0) ) ).
cnf(u3193,axiom,
( ~ product1(X0,e_2,e_1)
| equalish(X0,e_5) ) ).
cnf(u3417,axiom,
( ~ product1(e_1,e_2,X0)
| equalish(X0,e_3) ) ).
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(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(product1_left_cancellation,axiom,
( ~ product1(X3,X1,X2)
| ~ product1(X0,X1,X2)
| equalish(X0,X3) ) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3) ).
cnf(u3310,negated_conjecture,
( ~ product1(X0,e_1,e_3)
| product2(e_5,X0,e_1) ) ).
cnf(e_5_is_not_e_2,axiom,
~ equalish(e_5,e_2) ).
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(u3095,negated_conjecture,
( ~ product1(X0,e_3,e_5)
| product2(e_2,X0,e_3) ) ).
cnf(e_5_is_not_e_1,axiom,
~ equalish(e_5,e_1) ).
cnf(u3320,axiom,
( ~ product2(e_3,e_4,X0)
| equalish(X0,e_1) ) ).
cnf(e_1_is_not_e_5,axiom,
~ equalish(e_1,e_5) ).
cnf(u3092,axiom,
( ~ product1(X0,e_3,e_2)
| equalish(X0,e_5) ) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4) ).
cnf(element_3,axiom,
group_element(e_3) ).
cnf(element_2,axiom,
group_element(e_2) ).
cnf(u3114,axiom,
( ~ product2(X0,e_1,e_4)
| equalish(X0,e_5) ) ).
cnf(u3127,axiom,
( ~ product2(e_2,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(u3243,axiom,
( ~ product2(e_4,e_2,X0)
| equalish(X0,e_5) ) ).
cnf(u2666,axiom,
( ~ product1(X0,e_1,e_3)
| equalish(X0,e_2) ) ).
cnf(u3242,axiom,
( ~ product2(e_4,X0,e_5)
| equalish(X0,e_2) ) ).
cnf(u3307,axiom,
( ~ product1(X0,e_1,e_5)
| equalish(X0,e_3) ) ).
cnf(u3100,axiom,
( ~ product1(e_1,e_3,X0)
| equalish(X0,e_5) ) ).
cnf(u3094,axiom,
( ~ product1(e_5,e_3,X0)
| equalish(X0,e_2) ) ).
cnf(u2904,negated_conjecture,
( ~ product1(X0,e_5,e_2)
| product2(e_1,X0,e_5) ) ).
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(u3103,axiom,
( ~ product1(X0,e_4,e_2)
| equalish(X0,e_1) ) ).
cnf(u2993,axiom,
( ~ product2(X0,e_2,e_4)
| equalish(X0,e_3) ) ).
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(element_5,axiom,
group_element(e_5) ).
cnf(u3303,axiom,
( ~ product1(e_4,e_1,X0)
| equalish(X0,e_2) ) ).
cnf(u3296,axiom,
( ~ product1(X0,e_1,e_4)
| equalish(X0,e_5) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.23 % Problem : GRP123-7.005 : TPTP v9.3.1. Released v1.2.0.
% 0.03/0.26 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.60 % Computer : n008.cluster.edu
% 0.10/0.60 % Model : x86_64 x86_64
% 0.10/0.60 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.60 % Memory : 8046.5625MB
% 0.10/0.60 % OS : Linux 6.8.0-71-generic
% 0.10/0.60 % CPULimit : 300
% 0.10/0.60 % WCLimit : 300
% 0.10/0.60 % DateTime : Sun Sep 27 09:21:10 UTC 2026
% 0.10/0.60 % CPUTime :
% 0.10/0.60 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.14/0.63 Running first-order theorem proving
% 0.14/0.63 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
% 3.09/1.82 % (965025)Input is clausal, will run a generic CNF schedule.
% 3.09/1.82 % (965031)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=1534943858:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.09/1.82 % (965035)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1783533143:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.09/1.82 % (965034)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2489482215:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.09/1.82 % (965032)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=998090982:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.09/1.82 % (965033)lrs+10_1_sil=8000:sp=occurrence:random_seed=936083600:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.09/1.82 % (965036)dis-21_1_sil=8000:lcm=predicate:random_seed=1332817217: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)
% 3.09/1.82 % (965030)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=1311901486:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.09/1.82 % (965033)Instruction limit reached!
% 3.09/1.82 % (965033)------------------------------
% 3.09/1.82 % (965033)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.82 % (965033)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.82 % (965033)CaDiCaL version: 2.1.3
% 3.09/1.82 % (965033)Termination reason: Instruction limit
% 3.09/1.82 % (965033)Termination phase: Saturation
% 3.09/1.82 % (965033)Time elapsed: 0.059 s
% 3.09/1.82 % (965033)Peak memory usage: 88 MB
% 3.09/1.82 % (965033)Instructions burned: 108 (million)
% 3.09/1.82 % (965034)Instruction limit reached!
% 3.09/1.82 % (965034)------------------------------
% 3.09/1.82 % (965034)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.82 % (965034)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.82 % (965034)CaDiCaL version: 2.1.3
% 3.09/1.82 % (965034)Termination reason: Instruction limit
% 3.09/1.82 % (965034)Termination phase: Saturation
% 3.09/1.82 % (965034)Time elapsed: 0.060 s
% 3.09/1.82 % (965034)Peak memory usage: 88 MB
% 3.09/1.82 % (965034)Instructions burned: 115 (million)
% 3.09/1.82 % (965036)Instruction limit reached!
% 3.09/1.82 % (965036)------------------------------
% 3.09/1.82 % (965036)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.82 % (965036)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.82 % (965036)CaDiCaL version: 2.1.3
% 3.09/1.82 % (965036)Termination reason: Instruction limit
% 3.09/1.82 % (965036)Termination phase: Saturation
% 3.09/1.82 % (965036)Time elapsed: 0.070 s
% 3.09/1.82 % (965036)Peak memory usage: 89 MB
% 3.09/1.82 % (965036)Instructions burned: 118 (million)
% 3.09/1.82 % (965035)Instruction limit reached!
% 3.09/1.82 % (965035)------------------------------
% 3.09/1.82 % (965035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.82 % (965035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.82 % (965035)CaDiCaL version: 2.1.3
% 3.09/1.82 % (965035)Termination reason: Instruction limit
% 3.09/1.82 % (965035)Termination phase: Saturation
% 3.09/1.82 % (965035)Time elapsed: 0.108 s
% 3.09/1.82 % (965035)Peak memory usage: 89 MB
% 3.09/1.82 % (965035)Instructions burned: 180 (million)
% 3.09/1.82 % (965044)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=2480405683:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 3.09/1.82 % (965045)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1470972104: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)
% 3.09/1.82 % (965045)Refutation not found, incomplete strategy
% 3.09/1.82 % (965045)------------------------------
% 3.09/1.82 % (965045)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.82 % (965045)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.82 % (965045)CaDiCaL version: 2.1.3
% 3.09/1.82 % (965045)Termination reason: Refutation not found, incomplete strategy
% 3.09/1.82 % (965045)Time elapsed: 0.002 s
% 3.09/1.82 % (965045)Peak memory usage: 87 MB
% 3.09/1.82 % (965045)Instructions burned: 1 (million)
% 3.09/1.82 % (965046)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3931808174:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.09/1.82 % (965047)lrs+10_64_to=lpo:sil=8000:random_seed=455763096:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 3.09/1.82 % (965031)Refutation not found, incomplete strategy
% 3.09/1.82 % (965031)------------------------------
% 3.09/1.82 % (965031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.82 % (965031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.82 % (965031)CaDiCaL version: 2.1.3
% 3.09/1.82 % (965031)Termination reason: Refutation not found, incomplete strategy
% 3.09/1.82 % (965031)Time elapsed: 0.348 s
% 3.09/1.82 % (965031)Peak memory usage: 128 MB
% 3.09/1.82 % (965031)Instructions burned: 945 (million)
% 3.09/1.82 % (965044)Instruction limit reached!
% 3.09/1.82 % (965044)------------------------------
% 3.09/1.82 % (965044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.82 % (965044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.82 % (965044)CaDiCaL version: 2.1.3
% 3.09/1.82 % (965044)Termination reason: Instruction limit
% 3.09/1.82 % (965044)Termination phase: Saturation
% 3.09/1.82 % (965044)Time elapsed: 0.085 s
% 3.09/1.82 % (965044)Peak memory usage: 88 MB
% 3.09/1.82 % (965044)Instructions burned: 144 (million)
% 3.09/1.82 % (965047)First to succeed.
% 3.09/1.82 % (965047)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-965025"
% 3.09/1.82 % (965046)Instruction limit reached!
% 3.09/1.82 % (965046)------------------------------
% 3.09/1.82 % (965046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.09/1.82 % (965046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.09/1.82 % (965046)CaDiCaL version: 2.1.3
% 3.09/1.82 % (965046)Termination reason: Instruction limit
% 3.09/1.82 % (965046)Termination phase: Saturation
% 3.09/1.82 % (965046)Time elapsed: 0.121 s
% 3.09/1.82 % (965046)Peak memory usage: 89 MB
% 3.09/1.82 % (965046)Instructions burned: 219 (million)
% 3.09/1.82 % (965031)------------------------------
% 3.09/1.82 % (965031)------------------------------
% 3.09/1.82 % (965045)------------------------------
% 3.09/1.82 % (965045)------------------------------
% 3.09/1.82 % (965052)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3687499339:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 3.09/1.82 % (965053)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=2355374664:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 3.09/1.82 % SZS status Satisfiable for theBenchmark
% 3.09/1.82 % SZS output start Saturation.
% See solution above
% 5.75/2.02 % SZS output start Definitions and Model Updates.
% 5.75/2.02 for all inputs,
% 5.75/2.02 define next(X0,X1) := $true
% 5.75/2.02 for all inputs,
% 5.75/2.02 define greater(X0,X1) := $true
% 5.75/2.02 for all inputs,
% 5.75/2.02 define product(X0,X1,X2) := $false
% 5.75/2.02 % SZS output end Definitions and Model Updates.
% 5.75/2.02 % (965047)------------------------------
% 5.75/2.02 % (965047)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.75/2.02 % (965047)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.75/2.02 % (965047)CaDiCaL version: 2.1.3
% 5.75/2.02 % (965047)Termination reason: Satisfiable
% 5.75/2.02 % (965047)Time elapsed: 0.055 s
% 5.75/2.02 % (965047)Peak memory usage: 89 MB
% 5.75/2.02 % (965047)Instructions burned: 91 (million)
% 5.75/2.02 % (965047)------------------------------
% 5.75/2.02 % (965047)------------------------------
% 5.75/2.02 % (965025)Success in time 0.742 s
% 5.75/2.02 % Vampire exiting
%------------------------------------------------------------------------------