%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP129-3.005 : 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 : n010.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 10:12:59 AM UTC 2026
% Result : Satisfiable 54.36s 8.93s
% Output : Saturation 57.67s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u73,negated_conjecture,
product(e_5,e_5,e_5) ).
cnf(u80,negated_conjecture,
~ product(e_5,e_4,e_5) ).
cnf(u84,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_5,e_1)
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_2)
| product(e_4,X0,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_4)
| product(X0,e_5,e_3) ) ).
cnf(u88,negated_conjecture,
~ product(e_5,e_3,e_5) ).
cnf(u92,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_5,e_1)
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| product(e_3,X0,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_4)
| product(X0,e_5,e_3) ) ).
cnf(u96,negated_conjecture,
~ product(e_5,e_2,e_5) ).
cnf(u100,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_5,e_1)
| product(e_2,X0,e_4)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_4)
| product(X0,e_5,e_3) ) ).
cnf(u104,negated_conjecture,
~ product(e_5,e_1,e_5) ).
cnf(u108,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_5,e_1)
| product(e_1,X0,e_4)
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_4)
| product(X0,e_5,e_3) ) ).
cnf(u120,negated_conjecture,
product(e_2,e_5,e_4) ).
cnf(u123,negated_conjecture,
~ product(e_2,e_5,e_3) ).
cnf(u127,negated_conjecture,
~ product(e_2,e_5,e_2) ).
cnf(u131,negated_conjecture,
~ product(e_2,e_5,e_1) ).
cnf(u143,negated_conjecture,
~ product(e_3,e_5,e_4) ).
cnf(u147,negated_conjecture,
~ product(e_3,e_5,e_3) ).
cnf(u151,negated_conjecture,
~ product(e_3,e_5,e_2) ).
cnf(u156,negated_conjecture,
product(e_3,e_5,e_1) ).
cnf(u167,negated_conjecture,
~ product(e_4,e_5,e_4) ).
cnf(u171,negated_conjecture,
~ product(e_4,e_5,e_3) ).
cnf(u176,negated_conjecture,
product(e_4,e_5,e_2) ).
cnf(u179,negated_conjecture,
~ product(e_4,e_5,e_1) ).
cnf(u198,negated_conjecture,
~ product(e_5,e_2,e_4) ).
cnf(u202,negated_conjecture,
~ product(e_5,e_2,e_3) ).
cnf(u206,negated_conjecture,
~ product(e_5,e_2,e_2) ).
cnf(u211,negated_conjecture,
product(e_5,e_2,e_1) ).
cnf(u223,negated_conjecture,
~ product(e_5,e_3,e_4) ).
cnf(u227,negated_conjecture,
~ product(e_5,e_3,e_3) ).
cnf(u232,negated_conjecture,
product(e_5,e_3,e_2) ).
cnf(u235,negated_conjecture,
~ product(e_5,e_3,e_1) ).
cnf(u292,negated_conjecture,
~ product(e_4,e_5,e_5) ).
cnf(u296,negated_conjecture,
~ product(e_2,e_4,e_4) ).
cnf(u300,negated_conjecture,
~ product(e_2,e_4,e_3) ).
cnf(u304,negated_conjecture,
~ product(e_2,e_4,e_2) ).
cnf(u309,negated_conjecture,
product(e_2,e_4,e_1) ).
cnf(u320,negated_conjecture,
~ product(e_3,e_5,e_5) ).
cnf(u324,negated_conjecture,
~ product(e_2,e_3,e_4) ).
cnf(u328,negated_conjecture,
~ product(e_2,e_3,e_3) ).
cnf(u332,negated_conjecture,
~ product(e_2,e_3,e_2) ).
cnf(u336,negated_conjecture,
~ product(e_2,e_3,e_1) ).
cnf(u348,negated_conjecture,
~ product(e_2,e_5,e_5) ).
cnf(u352,negated_conjecture,
~ product(e_2,e_2,e_4) ).
cnf(u356,negated_conjecture,
~ product(e_2,e_2,e_3) ).
cnf(u361,negated_conjecture,
product(e_2,e_2,e_2) ).
cnf(u364,negated_conjecture,
~ product(e_2,e_2,e_1) ).
cnf(u376,negated_conjecture,
~ product(e_1,e_5,e_5) ).
cnf(u380,negated_conjecture,
~ product(e_2,e_1,e_4) ).
cnf(u385,negated_conjecture,
product(e_2,e_1,e_3) ).
cnf(u388,negated_conjecture,
~ product(e_2,e_1,e_2) ).
cnf(u392,negated_conjecture,
~ product(e_2,e_1,e_1) ).
cnf(u404,negated_conjecture,
~ product(e_3,e_4,e_4) ).
cnf(u408,negated_conjecture,
~ product(e_3,e_4,e_3) ).
cnf(u412,negated_conjecture,
~ product(e_3,e_4,e_2) ).
cnf(u416,negated_conjecture,
~ product(e_3,e_4,e_1) ).
cnf(u428,negated_conjecture,
~ product(e_3,e_3,e_4) ).
cnf(u433,negated_conjecture,
product(e_3,e_3,e_3) ).
cnf(u436,negated_conjecture,
~ product(e_3,e_3,e_2) ).
cnf(u440,negated_conjecture,
~ product(e_3,e_3,e_1) ).
cnf(u453,negated_conjecture,
product(e_3,e_2,e_4) ).
cnf(u456,negated_conjecture,
~ product(e_3,e_2,e_3) ).
cnf(u460,negated_conjecture,
~ product(e_3,e_2,e_2) ).
cnf(u464,negated_conjecture,
~ product(e_3,e_2,e_1) ).
cnf(u476,negated_conjecture,
~ product(e_3,e_1,e_4) ).
cnf(u480,negated_conjecture,
~ product(e_3,e_1,e_3) ).
cnf(u485,negated_conjecture,
product(e_3,e_1,e_2) ).
cnf(u488,negated_conjecture,
~ product(e_3,e_1,e_1) ).
cnf(u506,negated_conjecture,
~ product(e_5,e_4,e_4) ).
cnf(u511,negated_conjecture,
product(e_5,e_4,e_3) ).
cnf(u514,negated_conjecture,
~ product(e_5,e_4,e_2) ).
cnf(u518,negated_conjecture,
~ product(e_5,e_4,e_1) ).
cnf(u531,negated_conjecture,
~ product(e_5,e_5,e_4) ).
cnf(u535,negated_conjecture,
~ product(e_5,e_5,e_3) ).
cnf(u539,negated_conjecture,
~ product(e_5,e_5,e_2) ).
cnf(u543,negated_conjecture,
~ product(e_5,e_5,e_1) ).
cnf(u569,negated_conjecture,
product(e_5,e_1,e_4) ).
cnf(u572,negated_conjecture,
~ product(e_5,e_1,e_3) ).
cnf(u576,negated_conjecture,
~ product(e_5,e_1,e_2) ).
cnf(u580,negated_conjecture,
~ product(e_5,e_1,e_1) ).
cnf(u592,negated_conjecture,
~ product(e_1,e_2,e_4) ).
cnf(u596,negated_conjecture,
~ product(e_1,e_2,e_3) ).
cnf(u600,negated_conjecture,
~ product(e_1,e_2,e_2) ).
cnf(u604,negated_conjecture,
~ product(e_1,e_2,e_1) ).
cnf(u625,negated_conjecture,
~ product(e_4,e_1,e_3) ).
cnf(u629,negated_conjecture,
~ product(e_4,e_1,e_2) ).
cnf(u633,negated_conjecture,
~ product(e_4,e_1,e_1) ).
cnf(u668,negated_conjecture,
~ product(e_1,e_5,e_4) ).
cnf(u673,negated_conjecture,
product(e_1,e_5,e_3) ).
cnf(u676,negated_conjecture,
~ product(e_1,e_5,e_2) ).
cnf(u680,negated_conjecture,
~ product(e_1,e_5,e_1) ).
cnf(u720,negated_conjecture,
~ product(e_1,e_4,e_5) ).
cnf(u724,negated_conjecture,
~ product(e_1,e_1,e_4) ).
cnf(u728,negated_conjecture,
~ product(e_1,e_1,e_3) ).
cnf(u732,negated_conjecture,
~ product(e_1,e_1,e_2) ).
cnf(u737,negated_conjecture,
product(e_1,e_1,e_1) ).
cnf(u949,negated_conjecture,
~ product(e_4,e_2,e_5) ).
cnf(u1121,negated_conjecture,
~ product(e_1,e_4,e_4) ).
cnf(u1125,negated_conjecture,
~ product(e_1,e_4,e_3) ).
cnf(u1130,negated_conjecture,
product(e_1,e_4,e_2) ).
cnf(u1133,negated_conjecture,
~ product(e_1,e_4,e_1) ).
cnf(u1171,negated_conjecture,
~ product(e_3,e_2,e_5) ).
cnf(u1175,negated_conjecture,
~ product(e_4,e_3,e_4) ).
cnf(u1179,negated_conjecture,
~ product(e_4,e_3,e_3) ).
cnf(u1183,negated_conjecture,
~ product(e_4,e_3,e_2) ).
cnf(u1188,negated_conjecture,
product(e_4,e_3,e_1) ).
cnf(u1224,negated_conjecture,
~ product(e_2,e_4,e_5) ).
cnf(u1237,negated_conjecture,
product(e_2,e_3,e_5) ).
cnf(u1345,negated_conjecture,
~ product(e_4,e_3,e_5) ).
cnf(u1369,negated_conjecture,
~ product(e_4,e_4,e_5) ).
cnf(u1488,negated_conjecture,
~ product(e_1,e_3,e_5) ).
cnf(u1500,negated_conjecture,
~ product(e_3,e_3,e_5) ).
cnf(u1505,negated_conjecture,
product(e_1,e_3,e_4) ).
cnf(u1508,negated_conjecture,
~ product(e_1,e_3,e_3) ).
cnf(u1512,negated_conjecture,
~ product(e_1,e_3,e_2) ).
cnf(u1516,negated_conjecture,
~ product(e_1,e_3,e_1) ).
cnf(u1565,negated_conjecture,
product(e_4,e_1,e_5) ).
cnf(u1573,negated_conjecture,
product(e_1,e_2,e_5) ).
cnf(u1594,negated_conjecture,
product(e_4,e_4,e_4) ).
cnf(u1597,negated_conjecture,
~ product(e_4,e_4,e_3) ).
cnf(u1601,negated_conjecture,
~ product(e_4,e_4,e_2) ).
cnf(u1605,negated_conjecture,
~ product(e_4,e_4,e_1) ).
cnf(u1672,negated_conjecture,
~ product(e_2,e_1,e_5) ).
cnf(u1676,negated_conjecture,
~ product(e_4,e_2,e_4) ).
cnf(u1681,negated_conjecture,
product(e_4,e_2,e_3) ).
cnf(u1684,negated_conjecture,
~ product(e_4,e_2,e_2) ).
cnf(u1688,negated_conjecture,
~ product(e_4,e_2,e_1) ).
cnf(u1913,negated_conjecture,
~ product(e_2,e_2,e_5) ).
cnf(u2087,negated_conjecture,
~ product(e_3,e_1,e_5) ).
cnf(u2763,negated_conjecture,
~ product(e_1,e_1,e_5) ).
cnf(u4357,axiom,
~ cycle(e_4,e_4) ).
cnf(u4361,axiom,
~ cycle(e_4,e_3) ).
cnf(u4365,axiom,
~ cycle(e_4,e_2) ).
cnf(u4370,axiom,
cycle(e_4,e_1) ).
cnf(u4374,axiom,
( ~ product(e_3,e_1,X0)
| ~ greater(X0,e_3) ) ).
cnf(u4377,axiom,
~ cycle(e_3,e_4) ).
cnf(u4381,axiom,
~ cycle(e_3,e_3) ).
cnf(u4385,axiom,
~ cycle(e_3,e_2) ).
cnf(u4389,axiom,
~ cycle(e_3,e_1) ).
cnf(u4397,axiom,
~ cycle(e_2,e_4) ).
cnf(u4401,axiom,
~ cycle(e_2,e_3) ).
cnf(u4410,axiom,
cycle(e_2,e_1) ).
cnf(u4414,axiom,
( ~ product(e_1,e_1,X0)
| ~ greater(X0,e_1) ) ).
cnf(u4417,axiom,
~ cycle(e_1,e_4) ).
cnf(u4421,axiom,
~ cycle(e_1,e_3) ).
cnf(u4425,axiom,
~ cycle(e_1,e_2) ).
cnf(u4555,axiom,
( ~ cycle(e_3,X0)
| equalish(X0,e_0) ) ).
cnf(u9362,axiom,
( ~ cycle(e_2,X0)
| equalish(X0,e_0) ) ).
cnf(u11630,negated_conjecture,
( ~ product(X0,e_5,e_5)
| equalish(X0,e_5) ) ).
cnf(u11634,negated_conjecture,
( ~ product(e_5,e_5,X0)
| equalish(X0,e_5) ) ).
cnf(u11638,negated_conjecture,
( ~ group_element(X0)
| product(e_5,X0,e_1)
| equalish(e_5,X0)
| product(e_5,X0,e_4)
| product(e_5,X0,e_3)
| product(e_5,X0,e_2) ) ).
cnf(u16943,axiom,
( ~ cycle(e_1,X0)
| equalish(X0,e_0) ) ).
cnf(u16978,axiom,
~ cycle(e_5,e_4) ).
cnf(u16982,axiom,
~ cycle(e_5,e_3) ).
cnf(u16986,axiom,
~ cycle(e_5,e_2) ).
cnf(u16990,axiom,
~ cycle(e_5,e_1) ).
cnf(u16994,axiom,
( ~ next(e_5,X0)
| cycle(X0,e_4)
| cycle(X0,e_3)
| cycle(X0,e_2)
| cycle(X0,e_1)
| ~ group_element(X0) ) ).
cnf(u17105,axiom,
( ~ next(e_5,X0)
| ~ cycle(X0,e_0) ) ).
cnf(u16598,negated_conjecture,
( ~ product(e_5,X0,e_3)
| equalish(X0,e_4) ) ).
cnf(cycle1,axiom,
( ~ cycle(X0,X2)
| ~ cycle(X0,X1)
| equalish(X1,X2) ) ).
cnf(u16639,negated_conjecture,
( ~ product(X0,e_1,e_1)
| equalish(X0,e_1) ) ).
cnf(u15414,negated_conjecture,
( ~ group_element(X0)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4)
| equalish(e_2,X0)
| product(e_1,X0,e_1) ) ).
cnf(element_5,axiom,
group_element(e_5) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3) ).
cnf(u61,axiom,
( ~ group_element(X0)
| equalish(X2,e_5)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ product(X0,X1,X2) ) ).
cnf(e_5_is_not_e_3,axiom,
~ equalish(e_5,e_3) ).
cnf(u4278,axiom,
( ~ cycle(e_5,X0)
| equalish(X0,e_0) ) ).
cnf(u17063,axiom,
( ~ cycle(e_4,X0)
| equalish(X0,e_1) ) ).
cnf(u4276,axiom,
( ~ group_element(X0)
| cycle(X0,e_1)
| cycle(X0,e_2)
| cycle(X0,e_3)
| cycle(X0,e_4)
| ~ cycle(X0,X1)
| equalish(X1,e_0) ) ).
cnf(u16486,negated_conjecture,
( ~ product(X0,e_5,e_3)
| equalish(X0,e_1) ) ).
cnf(u15136,negated_conjecture,
( ~ product(X0,e_2,e_5)
| product(e_5,X0,e_4) ) ).
cnf(u16961,axiom,
( ~ cycle(X0,X1)
| ~ cycle(X2,X3)
| ~ next(X4,X2)
| ~ greater(X4,X0)
| ~ greater(X1,X3)
| ~ group_element(X4)
| cycle(X4,e_1)
| cycle(X4,e_2)
| cycle(X4,e_3)
| cycle(X4,e_4) ) ).
cnf(u15431,negated_conjecture,
( ~ product(e_5,e_1,X0)
| equalish(X0,e_4) ) ).
cnf(u4289,axiom,
( ~ group_element(X1)
| equalish(X0,e_5)
| product(e_3,X1,e_1)
| product(e_3,X1,e_2)
| product(e_3,X1,e_3)
| product(e_3,X1,e_4)
| ~ product(e_3,X1,X0) ) ).
cnf(u9071,negated_conjecture,
equalish(e_5,e_5) ).
cnf(u16215,negated_conjecture,
( ~ product(X0,e_3,e_3)
| product(e_3,X0,e_3) ) ).
cnf(u16615,negated_conjecture,
( ~ product(e_4,e_2,X0)
| equalish(X0,e_3) ) ).
cnf(u16476,negated_conjecture,
( ~ product(X0,e_5,e_5)
| product(e_5,X0,e_5) ) ).
cnf(u16963,axiom,
( ~ greater(e_0,X1)
| ~ next(X2,X0)
| ~ greater(X2,X3)
| ~ cycle(X0,X1)
| ~ group_element(X2)
| cycle(X2,e_1)
| cycle(X2,e_2)
| cycle(X2,e_3)
| cycle(X2,e_4)
| ~ group_element(X3)
| cycle(X3,e_1)
| cycle(X3,e_2)
| cycle(X3,e_3)
| cycle(X3,e_4) ) ).
cnf(u16361,negated_conjecture,
( ~ product(X0,e_4,e_5)
| product(e_5,X0,e_2) ) ).
cnf(u16641,negated_conjecture,
( ~ product(X0,e_1,e_1)
| product(e_1,X0,e_1) ) ).
cnf(u16545,negated_conjecture,
( ~ product(e_3,X0,e_2)
| equalish(X0,e_1) ) ).
cnf(u16565,negated_conjecture,
( ~ product(e_4,e_3,X0)
| equalish(X0,e_1) ) ).
cnf(u15134,negated_conjecture,
( ~ product(X0,e_5,e_4)
| equalish(X0,e_2) ) ).
cnf(e_2_greater_e_0,axiom,
greater(e_2,e_0) ).
cnf(u16573,negated_conjecture,
( ~ product(X0,e_4,e_4)
| product(e_4,X0,e_4) ) ).
cnf(e_4_then_e_5,axiom,
next(e_4,e_5) ).
cnf(u16554,negated_conjecture,
( ~ product(e_2,e_2,X0)
| equalish(X0,e_2) ) ).
cnf(e_4_greater_e_2,axiom,
greater(e_4,e_2) ).
cnf(u9380,axiom,
equalish(e_1,e_0) ).
cnf(u16965,axiom,
( ~ greater(e_1,X1)
| ~ next(X2,X0)
| ~ greater(X2,e_2)
| ~ cycle(X0,X1)
| ~ group_element(X2)
| cycle(X2,e_1)
| cycle(X2,e_2)
| cycle(X2,e_3)
| cycle(X2,e_4) ) ).
cnf(u16552,negated_conjecture,
( ~ product(X0,e_3,e_2)
| product(e_2,X0,e_4) ) ).
cnf(cycle2,axiom,
( cycle(X0,e_0)
| ~ group_element(X0)
| cycle(X0,e_1)
| cycle(X0,e_2)
| cycle(X0,e_3)
| cycle(X0,e_4) ) ).
cnf(u13258,negated_conjecture,
( ~ 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(e_5,X0,e_1) ) ).
cnf(u16510,negated_conjecture,
( ~ 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)
| equalish(X0,e_5) ) ).
cnf(u4608,axiom,
( ~ cycle(X2,e_1)
| ~ next(X2,X0)
| ~ cycle(X0,X1)
| ~ next(X1,X3)
| equalish(e_1,X3) ) ).
cnf(u16616,negated_conjecture,
( ~ product(X0,e_2,e_3)
| equalish(X0,e_4) ) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1) ).
cnf(u12724,negated_conjecture,
( ~ product(X0,e_3,e_5)
| product(e_5,X0,e_1) ) ).
cnf(u16640,negated_conjecture,
( ~ product(e_1,X0,e_1)
| equalish(X0,e_1) ) ).
cnf(u4235,axiom,
( ~ group_element(X1)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| equalish(X1,X0)
| ~ group_element(X0)
| product(e_3,X1,e_1)
| product(e_3,X1,e_2)
| product(e_3,X1,e_3)
| product(e_3,X1,e_4) ) ).
cnf(u16638,negated_conjecture,
( ~ product(e_1,e_1,X0)
| equalish(X0,e_1) ) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4) ).
cnf(u60,axiom,
( ~ group_element(X2)
| equalish(X0,X2)
| ~ group_element(X1)
| product(X2,X1,e_1)
| product(X2,X1,e_2)
| product(X2,X1,e_3)
| product(X2,X1,e_4)
| ~ product(X0,X1,e_5) ) ).
cnf(u4275,axiom,
( ~ group_element(X0)
| cycle(X0,e_1)
| cycle(X0,e_2)
| cycle(X0,e_3)
| cycle(X0,e_4)
| ~ product(X0,e_1,X1)
| ~ greater(X1,X0) ) ).
cnf(u4241,axiom,
( ~ group_element(X1)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4)
| equalish(X1,X0)
| ~ group_element(X0)
| product(e_1,X1,e_1)
| product(e_1,X1,e_2)
| product(e_1,X1,e_3)
| product(e_1,X1,e_4) ) ).
cnf(e_5_is_not_e_2,axiom,
~ equalish(e_5,e_2) ).
cnf(u16519,negated_conjecture,
( ~ 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(e_5,X0,e_5) ) ).
cnf(u16634,negated_conjecture,
( ~ product(X0,e_1,e_3)
| equalish(X0,e_2) ) ).
cnf(u15568,negated_conjecture,
( ~ product(X0,e_3,e_5)
| equalish(X0,e_2) ) ).
cnf(u846,negated_conjecture,
equalish(e_3,e_3) ).
cnf(u16754,negated_conjecture,
( ~ 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)
| equalish(X0,e_4) ) ).
cnf(u16834,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_2)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4) ) ).
cnf(u15663,negated_conjecture,
( ~ product(e_2,X0,e_5)
| equalish(X0,e_3) ) ).
cnf(u16968,axiom,
( ~ greater(X0,e_2)
| ~ next(X0,X1)
| ~ group_element(X0)
| cycle(X0,e_1)
| cycle(X0,e_2)
| cycle(X0,e_3)
| cycle(X0,e_4)
| ~ group_element(X1)
| cycle(X1,e_1)
| cycle(X1,e_2)
| cycle(X1,e_3)
| cycle(X1,e_4) ) ).
cnf(u15570,negated_conjecture,
( ~ group_element(X0)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| equalish(e_3,X0)
| product(e_2,X0,e_1) ) ).
cnf(u17075,axiom,
( ~ cycle(e_5,X0)
| ~ next(X0,X1)
| equalish(e_1,X1) ) ).
cnf(u4290,axiom,
( ~ group_element(X1)
| equalish(X0,e_5)
| product(e_4,X1,e_1)
| product(e_4,X1,e_2)
| product(e_4,X1,e_3)
| product(e_4,X1,e_4)
| ~ product(e_4,X1,X0) ) ).
cnf(u16567,negated_conjecture,
( ~ product(e_4,X0,e_1)
| equalish(X0,e_3) ) ).
cnf(u16636,negated_conjecture,
( ~ product(X0,e_2,e_1)
| product(e_1,X0,e_3) ) ).
cnf(u16359,negated_conjecture,
( ~ product(X0,e_5,e_2)
| equalish(X0,e_4) ) ).
cnf(u16626,negated_conjecture,
( ~ product(X0,e_3,e_4)
| product(e_4,X0,e_5) ) ).
cnf(u16213,negated_conjecture,
( ~ product(X0,e_3,e_3)
| equalish(X0,e_3) ) ).
cnf(u4454,axiom,
( ~ cycle(X0,e_4)
| ~ product(X0,e_1,X1)
| ~ next(X0,X2)
| equalish(X1,X2) ) ).
cnf(u16945,negated_conjecture,
~ greater(e_1,e_1) ).
cnf(u15574,negated_conjecture,
( ~ product(e_5,X0,e_1)
| equalish(X0,e_2) ) ).
cnf(u874,negated_conjecture,
equalish(e_1,e_1) ).
cnf(u15490,negated_conjecture,
( ~ product(X0,e_3,e_4)
| equalish(X0,e_1) ) ).
cnf(u16488,negated_conjecture,
( ~ product(X0,e_1,e_5)
| product(e_5,X0,e_3) ) ).
cnf(u16544,negated_conjecture,
( ~ product(X0,e_1,e_2)
| equalish(X0,e_3) ) ).
cnf(u16532,negated_conjecture,
( ~ product(e_5,e_3,X0)
| equalish(X0,e_2) ) ).
cnf(u17060,axiom,
( ~ next(e_4,X0)
| ~ cycle(X0,X1)
| ~ next(X1,X2)
| equalish(e_1,X2) ) ).
cnf(e_1_greater_e_0,axiom,
greater(e_1,e_0) ).
cnf(u4229,axiom,
( ~ product(e_5,X0,e_5)
| ~ group_element(X1)
| product(e_5,X1,e_1)
| product(e_5,X1,e_2)
| product(e_5,X1,e_3)
| product(e_5,X1,e_4)
| equalish(X0,X1) ) ).
cnf(u16563,negated_conjecture,
( ~ product(X0,e_1,e_4)
| product(e_4,X0,e_2) ) ).
cnf(u15492,negated_conjecture,
( ~ product(X0,e_1,e_3)
| product(e_3,X0,e_4) ) ).
cnf(element_2,axiom,
group_element(e_2) ).
cnf(u4609,axiom,
( ~ cycle(X2,e_2)
| ~ next(X2,X0)
| ~ cycle(X0,X1)
| ~ next(X1,X3)
| equalish(e_2,X3) ) ).
cnf(u15491,negated_conjecture,
( ~ product(e_1,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(u16618,negated_conjecture,
( ~ product(X0,e_4,e_2)
| product(e_2,X0,e_3) ) ).
cnf(e_5_greater_e_3,axiom,
greater(e_5,e_3) ).
cnf(u4246,axiom,
( ~ group_element(X1)
| equalish(X0,e_2)
| product(e_2,X1,e_1)
| product(e_2,X1,e_2)
| product(e_2,X1,e_3)
| product(e_2,X1,e_4)
| ~ product(X0,X1,e_5) ) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2) ).
cnf(u4227,axiom,
( ~ product(e_3,X0,e_5)
| ~ group_element(X1)
| product(e_3,X1,e_1)
| product(e_3,X1,e_2)
| product(e_3,X1,e_3)
| product(e_3,X1,e_4)
| equalish(X0,X1) ) ).
cnf(u16555,negated_conjecture,
( ~ product(X0,e_2,e_2)
| equalish(X0,e_2) ) ).
cnf(e_5_greater_e_2,axiom,
greater(e_5,e_2) ).
cnf(u4244,axiom,
( ~ group_element(X1)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| equalish(X1,X0)
| ~ group_element(X0)
| product(e_5,X1,e_1)
| product(e_5,X1,e_2)
| product(e_5,X1,e_3)
| product(e_5,X1,e_4) ) ).
cnf(u16505,negated_conjecture,
( ~ product(X0,e_1,e_5)
| equalish(X0,e_4) ) ).
cnf(e_3_is_not_e_5,axiom,
~ equalish(e_3,e_5) ).
cnf(u16566,negated_conjecture,
( ~ product(X0,e_3,e_1)
| equalish(X0,e_4) ) ).
cnf(u59,axiom,
( ~ group_element(X0)
| equalish(X1,X2)
| ~ group_element(X2)
| product(X0,X2,e_1)
| product(X0,X2,e_2)
| product(X0,X2,e_3)
| product(X0,X2,e_4)
| ~ product(X0,X1,e_5) ) ).
cnf(u16633,negated_conjecture,
( ~ product(e_2,e_1,X0)
| equalish(X0,e_3) ) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3) ).
cnf(qg3,negated_conjecture,
( ~ product(X1,X2,X3)
| ~ product(X0,X1,X2)
| product(X2,X0,X3) ) ).
cnf(u16349,negated_conjecture,
( ~ product(X0,e_2,e_4)
| product(e_4,X0,e_1) ) ).
cnf(u16672,negated_conjecture,
( ~ 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(e_5,X0,e_3) ) ).
cnf(u17076,axiom,
( ~ next(e_0,X0)
| equalish(e_1,X0) ) ).
cnf(u15569,negated_conjecture,
( ~ product(e_2,e_3,X0)
| equalish(X0,e_5) ) ).
cnf(u16551,negated_conjecture,
( ~ product(e_3,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(u16562,negated_conjecture,
( ~ product(e_1,X0,e_2)
| equalish(X0,e_4) ) ).
cnf(u16534,negated_conjecture,
( ~ product(e_5,X0,e_2)
| equalish(X0,e_3) ) ).
cnf(u9324,negated_conjecture,
~ greater(e_2,e_3) ).
cnf(u16533,negated_conjecture,
( ~ product(X0,e_3,e_2)
| equalish(X0,e_5) ) ).
cnf(u15542,negated_conjecture,
( ~ 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(e_5,X0,e_4) ) ).
cnf(e_4_greater_e_1,axiom,
greater(e_4,e_1) ).
cnf(u16506,negated_conjecture,
( ~ product(e_4,X0,e_5)
| equalish(X0,e_1) ) ).
cnf(u16360,negated_conjecture,
( ~ product(e_4,X0,e_2)
| equalish(X0,e_5) ) ).
cnf(u16676,negated_conjecture,
( ~ 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)
| equalish(X0,e_1) ) ).
cnf(u17095,axiom,
( ~ cycle(e_3,X0)
| ~ next(X0,X1)
| equalish(e_1,X1) ) ).
cnf(u16549,negated_conjecture,
( ~ product(e_3,e_2,X0)
| equalish(X0,e_4) ) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3) ).
cnf(u16504,negated_conjecture,
( ~ product(e_4,e_1,X0)
| equalish(X0,e_5) ) ).
cnf(element_3,axiom,
group_element(e_3) ).
cnf(e_0_then_e_1,axiom,
next(e_0,e_1) ).
cnf(u4238,axiom,
( ~ group_element(X1)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4)
| equalish(X1,X0)
| ~ group_element(X0)
| product(e_4,X1,e_1)
| product(e_4,X1,e_2)
| product(e_4,X1,e_3)
| product(e_4,X1,e_4) ) ).
cnf(element_1,axiom,
group_element(e_1) ).
cnf(u16214,negated_conjecture,
( ~ product(e_3,X0,e_3)
| equalish(X0,e_3) ) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4) ).
cnf(u16617,negated_conjecture,
( ~ product(e_4,X0,e_3)
| equalish(X0,e_2) ) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3) ).
cnf(u16456,negated_conjecture,
( ~ product(X0,e_4,e_5)
| equalish(X0,e_3) ) ).
cnf(u814,negated_conjecture,
equalish(e_4,e_4) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1) ).
cnf(u4249,axiom,
( ~ group_element(X1)
| equalish(X0,e_5)
| product(e_5,X1,e_1)
| product(e_5,X1,e_2)
| product(e_5,X1,e_3)
| product(e_5,X1,e_4)
| ~ product(X0,X1,e_5) ) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3) ).
cnf(u16561,negated_conjecture,
( ~ product(X0,e_4,e_2)
| equalish(X0,e_1) ) ).
cnf(u58,negated_conjecture,
( ~ product(X2,X1,X0)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| ~ group_element(X1)
| ~ group_element(X0)
| product(X0,X2,e_5) ) ).
cnf(u4536,axiom,
( ~ cycle(X0,e_1)
| ~ product(X0,e_1,X1)
| ~ next(X0,X2)
| equalish(X1,X2) ) ).
cnf(product_left_cancellation,axiom,
( ~ product(X3,X1,X2)
| ~ product(X0,X1,X2)
| equalish(X0,X3) ) ).
cnf(u4287,axiom,
( ~ group_element(X1)
| equalish(X0,e_5)
| product(e_1,X1,e_1)
| product(e_1,X1,e_2)
| product(e_1,X1,e_3)
| product(e_1,X1,e_4)
| ~ product(e_1,X1,X0) ) ).
cnf(u17062,axiom,
( ~ greater(e_1,X1)
| ~ next(X2,X0)
| ~ greater(X2,e_4)
| ~ cycle(X0,X1)
| ~ group_element(X2)
| cycle(X2,e_1)
| cycle(X2,e_2)
| cycle(X2,e_3)
| cycle(X2,e_4) ) ).
cnf(u3269,negated_conjecture,
product(e_3,e_4,e_5) ).
cnf(u16750,axiom,
( ~ next(e_2,X1)
| ~ product(e_2,e_1,X0)
| equalish(X0,X1) ) ).
cnf(u16550,negated_conjecture,
( ~ product(X0,e_2,e_4)
| equalish(X0,e_3) ) ).
cnf(u16535,negated_conjecture,
( ~ product(X0,e_5,e_3)
| product(e_3,X0,e_2) ) ).
cnf(u15481,negated_conjecture,
( ~ product(e_1,X0,e_5)
| equalish(X0,e_2) ) ).
cnf(u16572,negated_conjecture,
( ~ product(e_4,X0,e_4)
| equalish(X0,e_4) ) ).
cnf(u16358,negated_conjecture,
( ~ product(e_4,e_5,X0)
| equalish(X0,e_2) ) ).
cnf(u15432,negated_conjecture,
( ~ product(X0,e_1,e_4)
| equalish(X0,e_5) ) ).
cnf(e_5_greater_e_1,axiom,
greater(e_5,e_1) ).
cnf(u16212,negated_conjecture,
( ~ product(e_3,e_3,X0)
| equalish(X0,e_3) ) ).
cnf(e_3_greater_e_1,axiom,
greater(e_3,e_1) ).
cnf(u16625,negated_conjecture,
( ~ product(e_3,X0,e_5)
| equalish(X0,e_4) ) ).
cnf(cycle5,axiom,
( ~ cycle(X2,e_0)
| ~ cycle(X0,X1)
| ~ cycle(X3,X4)
| ~ next(X2,X3)
| ~ greater(X2,X0)
| ~ greater(X1,X4) ) ).
cnf(cycle7,axiom,
( ~ greater(X1,e_0)
| ~ product(X0,e_1,X2)
| ~ cycle(X0,X1)
| ~ next(X0,X3)
| equalish(X2,X3) ) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2) ).
cnf(u4225,axiom,
( ~ product(e_1,X0,e_5)
| ~ group_element(X1)
| product(e_1,X1,e_1)
| product(e_1,X1,e_2)
| product(e_1,X1,e_3)
| product(e_1,X1,e_4)
| equalish(X0,X1) ) ).
cnf(u16347,negated_conjecture,
( ~ product(X0,e_4,e_1)
| equalish(X0,e_2) ) ).
cnf(u16999,axiom,
( ~ next(e_3,X0)
| ~ group_element(X0)
| cycle(X0,e_1)
| cycle(X0,e_2)
| cycle(X0,e_3)
| cycle(X0,e_4) ) ).
cnf(e_5_is_not_e_4,axiom,
~ equalish(e_5,e_4) ).
cnf(u16962,axiom,
( ~ next(e_5,X2)
| ~ cycle(X2,X3)
| ~ cycle(X0,X1)
| ~ greater(e_5,X0)
| ~ greater(X1,X3) ) ).
cnf(element_4,axiom,
group_element(e_4) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2) ).
cnf(u12723,negated_conjecture,
( ~ product(e_3,X0,e_1)
| equalish(X0,e_5) ) ).
cnf(u16348,negated_conjecture,
( ~ product(e_2,X0,e_1)
| equalish(X0,e_4) ) ).
cnf(u4494,axiom,
( ~ cycle(X0,e_2)
| ~ product(X0,e_1,X1)
| ~ next(X0,X2)
| equalish(X1,X2) ) ).
cnf(e_2_is_not_e_5,axiom,
~ equalish(e_2,e_5) ).
cnf(u4279,axiom,
equalish(e_0,e_0) ).
cnf(u16597,negated_conjecture,
( ~ product(X0,e_4,e_3)
| equalish(X0,e_5) ) ).
cnf(u4277,axiom,
( ~ greater(X0,e_5)
| ~ product(e_5,e_1,X0) ) ).
cnf(u15434,negated_conjecture,
( ~ product(X0,e_5,e_1)
| product(e_1,X0,e_4) ) ).
cnf(u16568,negated_conjecture,
( ~ product(X0,e_4,e_3)
| product(e_3,X0,e_1) ) ).
cnf(u16751,axiom,
( ~ cycle(e_2,X0)
| equalish(X0,e_1) ) ).
cnf(u15575,negated_conjecture,
( ~ product(X0,e_5,e_2)
| product(e_2,X0,e_1) ) ).
cnf(u4288,axiom,
( ~ group_element(X1)
| equalish(X0,e_5)
| product(e_2,X1,e_1)
| product(e_2,X1,e_2)
| product(e_2,X1,e_3)
| product(e_2,X1,e_4)
| ~ product(e_2,X1,X0) ) ).
cnf(u16444,negated_conjecture,
( ~ 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(e_5,X0,e_2) ) ).
cnf(u4455,axiom,
( ~ cycle(X0,e_5)
| ~ product(X0,e_1,X1)
| ~ next(X0,X2)
| equalish(X1,X2) ) ).
cnf(u16969,axiom,
( ~ next(X0,e_5)
| ~ greater(X0,e_2)
| ~ group_element(X0)
| cycle(X0,e_1)
| cycle(X0,e_2)
| cycle(X0,e_3)
| cycle(X0,e_4) ) ).
cnf(u16820,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_3)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4) ) ).
cnf(u16507,negated_conjecture,
( ~ product(X0,e_4,e_1)
| product(e_1,X0,e_5) ) ).
cnf(u16635,negated_conjecture,
( ~ product(e_2,X0,e_3)
| equalish(X0,e_1) ) ).
cnf(u16457,negated_conjecture,
( ~ product(e_3,e_4,X0)
| equalish(X0,e_5) ) ).
cnf(u4610,axiom,
( ~ cycle(X2,e_3)
| ~ next(X2,X0)
| ~ cycle(X0,X1)
| ~ next(X1,X3)
| equalish(e_3,X3) ) ).
cnf(e_2_greater_e_1,axiom,
greater(e_2,e_1) ).
cnf(u16964,axiom,
( ~ greater(e_0,X1)
| ~ next(X2,X0)
| ~ greater(X2,e_5)
| ~ cycle(X0,X1)
| ~ group_element(X2)
| cycle(X2,e_1)
| cycle(X2,e_2)
| cycle(X2,e_3)
| cycle(X2,e_4) ) ).
cnf(u16599,negated_conjecture,
( ~ product(X0,e_5,e_4)
| product(e_4,X0,e_3) ) ).
cnf(e_4_greater_e_0,axiom,
greater(e_4,e_0) ).
cnf(cycle6,axiom,
( ~ cycle(X0,e_0)
| ~ product(X0,e_1,X1)
| ~ greater(X1,X0) ) ).
cnf(e_1_is_not_e_5,axiom,
~ equalish(e_1,e_5) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2) ).
cnf(u4226,axiom,
( ~ product(e_2,X0,e_5)
| ~ group_element(X1)
| product(e_2,X1,e_1)
| product(e_2,X1,e_2)
| product(e_2,X1,e_3)
| product(e_2,X1,e_4)
| equalish(X0,X1) ) ).
cnf(u15133,negated_conjecture,
( ~ product(e_2,e_5,X0)
| equalish(X0,e_4) ) ).
cnf(u653,negated_conjecture,
equalish(e_2,e_2) ).
cnf(u4611,axiom,
( ~ cycle(X2,e_4)
| ~ next(X2,X0)
| ~ cycle(X0,X1)
| ~ next(X1,X3)
| equalish(e_4,X3) ) ).
cnf(e_5_is_not_e_1,axiom,
~ equalish(e_5,e_1) ).
cnf(u15413,negated_conjecture,
( ~ product(e_1,e_2,X0)
| equalish(X0,e_5) ) ).
cnf(cycle4,axiom,
( ~ greater(X1,e_0)
| ~ cycle(X2,X3)
| ~ next(X0,X2)
| ~ cycle(X0,X1)
| ~ next(X3,X4)
| equalish(X1,X4) ) ).
cnf(u16886,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_4)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4) ) ).
cnf(product_right_cancellation,axiom,
( ~ product(X0,X3,X2)
| ~ product(X0,X1,X2)
| equalish(X1,X3) ) ).
cnf(u4232,axiom,
( ~ group_element(X1)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| equalish(X1,X0)
| ~ group_element(X0)
| product(e_2,X1,e_1)
| product(e_2,X1,e_2)
| product(e_2,X1,e_3)
| product(e_2,X1,e_4) ) ).
cnf(u15135,negated_conjecture,
( ~ product(e_2,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(u15412,negated_conjecture,
( ~ product(X0,e_2,e_5)
| equalish(X0,e_1) ) ).
cnf(u16560,negated_conjecture,
( ~ product(e_1,e_4,X0)
| equalish(X0,e_2) ) ).
cnf(product_total_function1,axiom,
( product(X0,X1,e_5)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ group_element(X0) ) ).
cnf(u15664,negated_conjecture,
( ~ product(X0,e_2,e_3)
| product(e_3,X0,e_5) ) ).
cnf(u64,negated_conjecture,
( ~ group_element(X1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| ~ group_element(X0)
| product(e_5,X1,e_5)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| product(X0,e_5,e_1) ) ).
cnf(u16557,negated_conjecture,
( ~ product(X0,e_2,e_2)
| product(e_2,X0,e_2) ) ).
cnf(u16502,negated_conjecture,
( ~ group_element(X0)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4)
| equalish(e_1,X0) ) ).
cnf(u16749,axiom,
( ~ next(e_2,X0)
| ~ cycle(X0,X1)
| ~ next(X1,X2)
| equalish(e_1,X2) ) ).
cnf(u12721,negated_conjecture,
( ~ product(e_3,e_5,X0)
| equalish(X0,e_1) ) ).
cnf(u16556,negated_conjecture,
( ~ product(e_2,X0,e_2)
| equalish(X0,e_2) ) ).
cnf(u15433,negated_conjecture,
( ~ product(e_5,X0,e_4)
| equalish(X0,e_1) ) ).
cnf(u15489,negated_conjecture,
( ~ product(e_1,e_3,X0)
| equalish(X0,e_4) ) ).
cnf(u16571,negated_conjecture,
( ~ product(X0,e_4,e_4)
| equalish(X0,e_4) ) ).
cnf(u4291,axiom,
( ~ group_element(X1)
| equalish(X0,e_5)
| product(e_5,X1,e_1)
| product(e_5,X1,e_2)
| product(e_5,X1,e_3)
| product(e_5,X1,e_4)
| ~ product(e_5,X1,X0) ) ).
cnf(u16487,negated_conjecture,
( ~ product(e_1,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u4456,axiom,
( ~ cycle(X0,e_3)
| ~ product(X0,e_1,X1)
| ~ next(X0,X2)
| equalish(X1,X2) ) ).
cnf(e_5_greater_e_4,axiom,
greater(e_5,e_4) ).
cnf(u4228,axiom,
( ~ product(e_4,X0,e_5)
| ~ group_element(X1)
| product(e_4,X1,e_1)
| product(e_4,X1,e_2)
| product(e_4,X1,e_3)
| product(e_4,X1,e_4)
| equalish(X0,X1) ) ).
cnf(e_5_greater_e_0,axiom,
greater(e_5,e_0) ).
cnf(u16655,negated_conjecture,
( ~ 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)
| equalish(X0,e_2) ) ).
cnf(u16967,axiom,
( ~ cycle(X1,e_0)
| ~ greater(X0,e_2)
| ~ next(X0,X1)
| ~ group_element(X0)
| cycle(X0,e_1)
| cycle(X0,e_2)
| cycle(X0,e_3)
| cycle(X0,e_4) ) ).
cnf(u4612,axiom,
( ~ cycle(X2,e_5)
| ~ next(X2,X0)
| ~ cycle(X0,X1)
| ~ next(X1,X3)
| equalish(e_5,X3) ) ).
cnf(u16596,negated_conjecture,
( ~ product(e_5,e_4,X0)
| equalish(X0,e_3) ) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2) ).
cnf(u16485,negated_conjecture,
( ~ product(e_1,e_5,X0)
| equalish(X0,e_3) ) ).
cnf(u16546,negated_conjecture,
( ~ product(X0,e_3,e_1)
| product(e_1,X0,e_2) ) ).
cnf(e_3_greater_e_0,axiom,
greater(e_3,e_0) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4) ).
cnf(u4247,axiom,
( ~ group_element(X1)
| equalish(X0,e_3)
| product(e_3,X1,e_1)
| product(e_3,X1,e_2)
| product(e_3,X1,e_3)
| product(e_3,X1,e_4)
| ~ product(X0,X1,e_5) ) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1) ).
cnf(u4248,axiom,
( ~ group_element(X1)
| equalish(X0,e_4)
| product(e_4,X1,e_1)
| product(e_4,X1,e_2)
| product(e_4,X1,e_3)
| product(e_4,X1,e_4)
| ~ product(X0,X1,e_5) ) ).
cnf(u16458,negated_conjecture,
( ~ group_element(X0)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| equalish(e_4,X0)
| product(e_3,X0,e_1) ) ).
cnf(e_4_is_not_e_5,axiom,
~ equalish(e_4,e_5) ).
cnf(u4245,axiom,
( ~ group_element(X1)
| equalish(X0,e_1)
| product(e_1,X1,e_1)
| product(e_1,X1,e_2)
| product(e_1,X1,e_3)
| product(e_1,X1,e_4)
| ~ product(X0,X1,e_5) ) ).
cnf(u16346,negated_conjecture,
( ~ product(e_2,e_4,X0)
| equalish(X0,e_1) ) ).
cnf(product_total_function2,axiom,
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| equalish(X2,X3) ) ).
cnf(u16889,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_1)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4) ) ).
cnf(u16712,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_5)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4) ) ).
cnf(u16543,negated_conjecture,
( ~ product(e_3,e_1,X0)
| equalish(X0,e_2) ) ).
cnf(u17097,axiom,
( ~ greater(X0,e_4)
| ~ next(X0,X1)
| ~ cycle(X1,e_0)
| ~ group_element(X0)
| cycle(X0,e_1)
| cycle(X0,e_2)
| cycle(X0,e_3)
| cycle(X0,e_4) ) ).
cnf(u16658,negated_conjecture,
( ~ 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)
| equalish(X0,e_3) ) ).
cnf(u15572,negated_conjecture,
( ~ product(e_5,e_2,X0)
| equalish(X0,e_1) ) ).
cnf(u16475,negated_conjecture,
( ~ product(e_5,X0,e_5)
| equalish(X0,e_5) ) ).
cnf(u12722,negated_conjecture,
( ~ product(X0,e_5,e_1)
| equalish(X0,e_3) ) ).
cnf(u16570,negated_conjecture,
( ~ product(e_4,e_4,X0)
| equalish(X0,e_4) ) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4) ).
cnf(u15573,negated_conjecture,
( ~ product(X0,e_2,e_1)
| equalish(X0,e_5) ) ).
cnf(u17061,axiom,
( ~ next(e_4,X1)
| ~ product(e_4,e_1,X0)
| equalish(X0,X1) ) ).
cnf(cycle3,axiom,
cycle(e_5,e_0) ).
cnf(u15482,negated_conjecture,
( ~ product(X0,e_1,e_2)
| product(e_2,X0,e_5) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP129-3.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.36 % Computer : n010.cluster.edu
% 0.10/0.36 % Model : x86_64 x86_64
% 0.10/0.36 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.36 % Memory : 8046.5625MB
% 0.10/0.36 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 09:28:04 UTC 2026
% 0.10/0.36 % CPUTime :
% 0.10/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.14/0.40 Running first-order theorem proving
% 0.14/0.40 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
% 8.75/2.12 % (690330)Input is clausal, will run a generic CNF schedule.
% 8.75/2.12 % (690336)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3899826324:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.75/2.12 % (690340)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1346305978:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.75/2.12 % (690341)dis-21_1_sil=8000:lcm=predicate:random_seed=465206207:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 8.75/2.12 % (690337)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3284033009:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.75/2.12 % (690338)lrs+10_1_sil=8000:sp=occurrence:random_seed=3423775088:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.75/2.12 % (690335)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=1957781940:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.75/2.12 % (690339)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1044190860:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.75/2.12 % (690338)Instruction limit reached!
% 8.75/2.12 % (690338)------------------------------
% 8.75/2.12 % (690338)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.12 % (690338)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.12 % (690338)CaDiCaL version: 2.1.3
% 8.75/2.12 % (690338)Termination reason: Instruction limit
% 8.75/2.12 % (690338)Termination phase: Saturation
% 8.75/2.12 % (690338)Time elapsed: 0.062 s
% 8.75/2.12 % (690338)Peak memory usage: 88 MB
% 8.75/2.12 % (690338)Instructions burned: 107 (million)
% 8.75/2.12 % (690339)Instruction limit reached!
% 8.75/2.12 % (690339)------------------------------
% 8.75/2.12 % (690339)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.12 % (690339)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.12 % (690339)CaDiCaL version: 2.1.3
% 8.75/2.12 % (690339)Termination reason: Instruction limit
% 8.75/2.12 % (690339)Termination phase: Saturation
% 8.75/2.12 % (690339)Time elapsed: 0.062 s
% 8.75/2.12 % (690339)Peak memory usage: 88 MB
% 8.75/2.12 % (690339)Instructions burned: 115 (million)
% 8.75/2.12 % (690341)Instruction limit reached!
% 8.75/2.12 % (690341)------------------------------
% 8.75/2.12 % (690341)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.12 % (690341)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.12 % (690341)CaDiCaL version: 2.1.3
% 8.75/2.12 % (690341)Termination reason: Instruction limit
% 8.75/2.12 % (690341)Termination phase: Saturation
% 8.75/2.12 % (690341)Time elapsed: 0.075 s
% 8.75/2.12 % (690341)Peak memory usage: 88 MB
% 8.75/2.12 % (690341)Instructions burned: 117 (million)
% 8.75/2.12 % (690340)Instruction limit reached!
% 8.75/2.12 % (690340)------------------------------
% 8.75/2.12 % (690340)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.12 % (690340)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.12 % (690340)CaDiCaL version: 2.1.3
% 8.75/2.12 % (690340)Termination reason: Instruction limit
% 8.75/2.12 % (690340)Termination phase: Saturation
% 8.75/2.12 % (690340)Time elapsed: 0.144 s
% 8.75/2.12 % (690340)Peak memory usage: 89 MB
% 8.75/2.12 % (690340)Instructions burned: 181 (million)
% 8.75/2.12 % (690350)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1076522102:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 8.75/2.12 % (690349)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=4237766333:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.75/2.12 % (690350)Refutation not found, incomplete strategy
% 8.75/2.12 % (690350)------------------------------
% 8.75/2.12 % (690350)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.75/2.12 % (690350)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.75/2.12 % (690350)CaDiCaL version: 2.1.3
% 8.75/2.12 % (690350)Termination reason: Refutation not found, incomplete strategy
% 12.97/2.86 % (690350)Time elapsed: 0.002 s
% 12.97/2.86 % (690350)Peak memory usage: 87 MB
% 12.97/2.86 % (690350)Instructions burned: 2 (million)
% 12.97/2.86 % (690351)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3126472365:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 12.97/2.86 % (690352)lrs+10_64_to=lpo:sil=8000:random_seed=3600982323:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 12.97/2.86 % (690349)Instruction limit reached!
% 12.97/2.86 % (690349)------------------------------
% 12.97/2.86 % (690349)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.97/2.86 % (690349)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.97/2.86 % (690349)CaDiCaL version: 2.1.3
% 12.97/2.86 % (690349)Termination reason: Instruction limit
% 12.97/2.86 % (690349)Termination phase: Saturation
% 12.97/2.86 % (690349)Time elapsed: 0.084 s
% 12.97/2.86 % (690349)Peak memory usage: 88 MB
% 12.97/2.86 % (690349)Instructions burned: 143 (million)
% 12.97/2.86 % (690351)Instruction limit reached!
% 12.97/2.86 % (690351)------------------------------
% 12.97/2.86 % (690351)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.97/2.86 % (690351)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.97/2.86 % (690351)CaDiCaL version: 2.1.3
% 12.97/2.86 % (690351)Termination reason: Instruction limit
% 12.97/2.86 % (690351)Termination phase: Saturation
% 12.97/2.86 % (690351)Time elapsed: 0.120 s
% 12.97/2.86 % (690351)Peak memory usage: 89 MB
% 12.97/2.86 % (690351)Instructions burned: 220 (million)
% 12.97/2.86 % (690336)Refutation not found, incomplete strategy
% 12.97/2.86 % (690336)------------------------------
% 12.97/2.86 % (690336)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.97/2.86 % (690336)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.97/2.86 % (690336)CaDiCaL version: 2.1.3
% 12.97/2.86 % (690336)Termination reason: Refutation not found, incomplete strategy
% 12.97/2.86 % (690336)Time elapsed: 0.397 s
% 12.97/2.86 % (690336)Peak memory usage: 127 MB
% 12.97/2.86 % (690336)Instructions burned: 912 (million)
% 12.97/2.86 % (690352)Instruction limit reached!
% 12.97/2.86 % (690352)------------------------------
% 12.97/2.86 % (690352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.97/2.86 % (690352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.97/2.86 % (690352)CaDiCaL version: 2.1.3
% 12.97/2.86 % (690352)Termination reason: Instruction limit
% 12.97/2.86 % (690352)Termination phase: Saturation
% 12.97/2.86 % (690352)Time elapsed: 0.078 s
% 12.97/2.86 % (690352)Peak memory usage: 88 MB
% 12.97/2.86 % (690352)Instructions burned: 126 (million)
% 12.97/2.86 % (690357)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=1029917908:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 12.97/2.86 % (690350)------------------------------
% 12.97/2.86 % (690350)------------------------------
% 12.97/2.86 % (690358)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3203407977:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 12.97/2.86 % (690357)Instruction limit reached!
% 12.97/2.86 % (690357)------------------------------
% 12.97/2.86 % (690357)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.97/2.86 % (690357)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.97/2.86 % (690357)CaDiCaL version: 2.1.3
% 12.97/2.86 % (690357)Termination reason: Instruction limit
% 12.97/2.86 % (690357)Termination phase: Saturation
% 12.97/2.86 % (690357)Time elapsed: 0.074 s
% 12.97/2.86 % (690357)Peak memory usage: 87 MB
% 12.97/2.86 % (690357)Instructions burned: 196 (million)
% 12.97/2.86 % (690359)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=4015284747:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 12.97/2.86 % (690358)Instruction limit reached!
% 12.97/2.86 % (690358)------------------------------
% 12.97/2.86 % (690358)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.97/2.86 % (690358)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.97/2.86 % (690358)CaDiCaL version: 2.1.3
% 12.97/2.86 % (690358)Termination reason: Instruction limit
% 12.97/2.86 % (690358)Termination phase: Saturation
% 12.97/2.86 % (690358)Time elapsed: 0.089 s
% 12.97/2.86 % (690358)Peak memory usage: 89 MB
% 12.97/2.86 % (690358)Instructions burned: 159 (million)
% 12.97/2.86 % (690361)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=2129561669:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 23.87/4.20 % (690361)Refutation not found, incomplete strategy
% 23.87/4.20 % (690361)------------------------------
% 23.87/4.20 % (690361)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.87/4.20 % (690361)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.87/4.20 % (690361)CaDiCaL version: 2.1.3
% 23.87/4.20 % (690361)Termination reason: Refutation not found, incomplete strategy
% 23.87/4.20 % (690361)Time elapsed: 0.003 s
% 23.87/4.20 % (690361)Peak memory usage: 88 MB
% 23.87/4.20 % (690361)Instructions burned: 3 (million)
% 23.87/4.20 % (690336)------------------------------
% 23.87/4.20 % (690336)------------------------------
% 23.87/4.20 % (690364)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3154763597:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 23.87/4.20 % (690364)Instruction limit reached!
% 23.87/4.20 % (690364)------------------------------
% 23.87/4.20 % (690364)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.87/4.20 % (690364)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.87/4.20 % (690364)CaDiCaL version: 2.1.3
% 23.87/4.20 % (690364)Termination reason: Instruction limit
% 23.87/4.20 % (690364)Termination phase: Saturation
% 23.87/4.20 % (690364)Time elapsed: 0.068 s
% 23.87/4.20 % (690364)Peak memory usage: 88 MB
% 23.87/4.20 % (690364)Instructions burned: 108 (million)
% 23.87/4.20 % (690365)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1100831038:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 23.87/4.20 % (690368)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3072489209:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 23.87/4.20 % (690369)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3342752044:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 23.87/4.20 % (690365)Instruction limit reached!
% 23.87/4.20 % (690365)------------------------------
% 23.87/4.20 % (690365)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.87/4.20 % (690365)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.87/4.20 % (690365)CaDiCaL version: 2.1.3
% 23.87/4.20 % (690365)Termination reason: Instruction limit
% 23.87/4.20 % (690365)Termination phase: Saturation
% 23.87/4.20 % (690365)Time elapsed: 0.129 s
% 23.87/4.20 % (690365)Peak memory usage: 89 MB
% 23.87/4.20 % (690365)Instructions burned: 243 (million)
% 23.87/4.20 % (690361)------------------------------
% 23.87/4.20 % (690361)------------------------------
% 23.87/4.20 % (690369)Instruction limit reached!
% 23.87/4.20 % (690369)------------------------------
% 23.87/4.20 % (690369)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.87/4.20 % (690369)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.87/4.20 % (690369)CaDiCaL version: 2.1.3
% 23.87/4.20 % (690369)Termination reason: Instruction limit
% 23.87/4.20 % (690369)Termination phase: Saturation
% 23.87/4.20 % (690369)Time elapsed: 0.052 s
% 23.87/4.20 % (690369)Peak memory usage: 87 MB
% 23.87/4.20 % (690369)Instructions burned: 135 (million)
% 23.87/4.20 % (690373)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=602537117:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 23.87/4.20 % (690374)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=663840494:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 23.87/4.20 % (690375)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3785776266:i=264:kws=precedence:fsr=off_2990 on theBenchmark for (2990ds/264Mi)
% 23.87/4.20 % (690374)Instruction limit reached!
% 23.87/4.20 % (690374)------------------------------
% 23.87/4.20 % (690374)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.87/4.20 % (690374)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.87/4.20 % (690374)CaDiCaL version: 2.1.3
% 23.87/4.20 % (690374)Termination reason: Instruction limit
% 23.87/4.20 % (690374)Termination phase: Saturation
% 23.87/4.20 % (690374)Time elapsed: 0.118 s
% 23.87/4.20 % (690374)Peak memory usage: 89 MB
% 23.87/4.20 % (690374)Instructions burned: 192 (million)
% 23.87/4.20 % (690375)Instruction limit reached!
% 34.49/5.72 % (690375)------------------------------
% 34.49/5.72 % (690375)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.49/5.72 % (690375)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.49/5.72 % (690375)CaDiCaL version: 2.1.3
% 34.49/5.72 % (690375)Termination reason: Instruction limit
% 34.49/5.72 % (690375)Termination phase: Saturation
% 34.49/5.72 % (690375)Time elapsed: 0.167 s
% 34.49/5.72 % (690375)Peak memory usage: 89 MB
% 34.49/5.72 % (690375)Instructions burned: 264 (million)
% 34.49/5.72 % (690373)Instruction limit reached!
% 34.49/5.72 % (690373)------------------------------
% 34.49/5.72 % (690373)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.49/5.72 % (690373)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.49/5.72 % (690373)CaDiCaL version: 2.1.3
% 34.49/5.72 % (690373)Termination reason: Instruction limit
% 34.49/5.72 % (690373)Termination phase: Saturation
% 34.49/5.72 % (690373)Time elapsed: 0.262 s
% 34.49/5.72 % (690373)Peak memory usage: 90 MB
% 34.49/5.72 % (690373)Instructions burned: 499 (million)
% 34.49/5.72 % (690379)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=3342387294:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 34.49/5.72 % (690380)lrs-1010_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:sp=reverse_frequency:spb=units:lcm=predicate:urr=on:s2agt=8:updr=off:random_seed=711623036:i=3256:kws=precedence:bd=preordered:av=off_2987 on theBenchmark for (2987ds/3256Mi)
% 34.49/5.72 % (690379)Instruction limit reached!
% 34.49/5.72 % (690379)------------------------------
% 34.49/5.72 % (690379)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.49/5.72 % (690379)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.49/5.72 % (690379)CaDiCaL version: 2.1.3
% 34.49/5.72 % (690379)Termination reason: Instruction limit
% 34.49/5.72 % (690379)Termination phase: Saturation
% 34.49/5.72 % (690379)Time elapsed: 0.089 s
% 34.49/5.72 % (690379)Peak memory usage: 88 MB
% 34.49/5.72 % (690379)Instructions burned: 157 (million)
% 34.49/5.72 % (690381)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=2630555352:i=537:av=off:ss=included_2986 on theBenchmark for (2986ds/537Mi)
% 34.49/5.72 % (690384)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2240028162:i=180:bd=preordered:av=off_2985 on theBenchmark for (2985ds/180Mi)
% 34.49/5.72 % (690381)Instruction limit reached!
% 34.49/5.72 % (690381)------------------------------
% 34.49/5.72 % (690381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.49/5.72 % (690381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.49/5.72 % (690381)CaDiCaL version: 2.1.3
% 34.49/5.72 % (690381)Termination reason: Instruction limit
% 34.49/5.72 % (690381)Termination phase: Saturation
% 34.49/5.72 % (690381)Time elapsed: 0.196 s
% 34.49/5.72 % (690381)Peak memory usage: 87 MB
% 34.49/5.72 % (690381)Instructions burned: 539 (million)
% 34.49/5.72 % (690384)Instruction limit reached!
% 34.49/5.72 % (690384)------------------------------
% 34.49/5.72 % (690384)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.49/5.72 % (690384)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.49/5.72 % (690384)CaDiCaL version: 2.1.3
% 34.49/5.72 % (690384)Termination reason: Instruction limit
% 34.49/5.72 % (690384)Termination phase: Saturation
% 34.49/5.72 % (690384)Time elapsed: 0.090 s
% 34.49/5.72 % (690384)Peak memory usage: 87 MB
% 34.49/5.72 % (690384)Instructions burned: 181 (million)
% 34.49/5.72 % (690388)lrs-1010_1024_to=lpo:sil=8000:tgt=ground:plsq=on:plsqc=1:sas=cadical:plsqr=1,32:sp=arity:lma=off:spb=goal:acc=on:bce=on:nwc=1.2:alpa=false:random_seed=637951558:i=412:gtgl=4:gtg=exists_all_2983 on theBenchmark for (2983ds/412Mi)
% 34.49/5.72 % (690387)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:sas=cadical:sp=reverse_frequency:bsr=on:alpa=false:sac=on:random_seed=2300225381:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2983 on theBenchmark for (2983ds/10307Mi)
% 34.49/5.72 % (690388)Instruction limit reached!
% 34.49/5.72 % (690388)------------------------------
% 34.49/5.72 % (690388)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.49/5.72 % (690388)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.49/5.72 % (690388)CaDiCaL version: 2.1.3
% 34.49/5.72 % (690388)Termination reason: Instruction limit
% 34.49/5.72 % (690388)Termination phase: Saturation
% 50.01/7.93 % (690388)Time elapsed: 0.218 s
% 50.01/7.93 % (690388)Peak memory usage: 91 MB
% 50.01/7.93 % (690388)Instructions burned: 412 (million)
% 50.01/7.93 % (690391)ott+1002_1_ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:etr=on:spb=units:urr=on:bsr=unit_only:gs=on:s2agt=16:br=off:random_seed=715379554:s2pl=no:i=8478:s2at=4:nm=6_2979 on theBenchmark for (2979ds/8478Mi)
% 50.01/7.93 % (690391)Refutation not found, incomplete strategy
% 50.01/7.93 % (690391)------------------------------
% 50.01/7.93 % (690391)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.01/7.93 % (690391)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.01/7.93 % (690391)CaDiCaL version: 2.1.3
% 50.01/7.93 % (690391)Termination reason: Refutation not found, incomplete strategy
% 50.01/7.93 % (690391)Time elapsed: 0.593 s
% 50.01/7.93 % (690391)Peak memory usage: 128 MB
% 50.01/7.93 % (690391)Instructions burned: 911 (million)
% 50.01/7.93 % (690359)Instruction limit reached!
% 50.01/7.93 % (690359)------------------------------
% 50.01/7.93 % (690359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.01/7.93 % (690359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.01/7.93 % (690359)CaDiCaL version: 2.1.3
% 50.01/7.93 % (690359)Termination reason: Instruction limit
% 50.01/7.93 % (690359)Termination phase: Saturation
% 50.01/7.93 % (690359)Time elapsed: 2.280 s
% 50.01/7.93 % (690359)Peak memory usage: 141 MB
% 50.01/7.93 % (690359)Instructions burned: 3395 (million)
% 50.01/7.93 % (690391)------------------------------
% 50.01/7.93 % (690391)------------------------------
% 50.01/7.93 % (690393)ott-1011_2_sil=32000:bsd=on:sp=reverse_frequency:erd=off:urr=on:rnwc=on:gs=on:s2agt=70:updr=off:lftc=20:random_seed=1790665979:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2970 on theBenchmark for (2970ds/303Mi)
% 50.01/7.93 % (690394)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=3829127756:st=4:i=720:sd=3:fsr=off:ss=axioms_2970 on theBenchmark for (2970ds/720Mi)
% 50.01/7.93 % (690394)Refutation not found, incomplete strategy
% 50.01/7.93 % (690394)------------------------------
% 50.01/7.93 % (690394)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.01/7.93 % (690394)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.01/7.93 % (690394)CaDiCaL version: 2.1.3
% 50.01/7.93 % (690394)Termination reason: Refutation not found, incomplete strategy
% 50.01/7.93 % (690394)Time elapsed: 0.002 s
% 50.01/7.93 % (690394)Peak memory usage: 87 MB
% 50.01/7.93 % (690394)Instructions burned: 1 (million)
% 50.01/7.93 % (690393)Instruction limit reached!
% 50.01/7.93 % (690393)------------------------------
% 50.01/7.93 % (690393)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.01/7.93 % (690393)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.01/7.93 % (690393)CaDiCaL version: 2.1.3
% 50.01/7.93 % (690393)Termination reason: Instruction limit
% 50.01/7.93 % (690393)Termination phase: Saturation
% 50.01/7.93 % (690393)Time elapsed: 0.186 s
% 50.01/7.93 % (690393)Peak memory usage: 90 MB
% 50.01/7.93 % (690393)Instructions burned: 303 (million)
% 50.01/7.93 % (690368)Instruction limit reached!
% 50.01/7.93 % (690368)------------------------------
% 50.01/7.93 % (690368)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.01/7.93 % (690368)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.01/7.93 % (690368)CaDiCaL version: 2.1.3
% 50.01/7.93 % (690368)Termination reason: Instruction limit
% 50.01/7.93 % (690368)Termination phase: Saturation
% 50.01/7.93 % (690368)Time elapsed: 2.369 s
% 50.01/7.93 % (690368)Peak memory usage: 133 MB
% 50.01/7.93 % (690368)Instructions burned: 5210 (million)
% 50.01/7.93 % (690380)Instruction limit reached!
% 50.01/7.93 % (690380)------------------------------
% 50.01/7.93 % (690380)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 50.01/7.93 % (690380)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 50.01/7.93 % (690380)CaDiCaL version: 2.1.3
% 50.01/7.93 % (690380)Termination reason: Instruction limit
% 50.01/7.93 % (690380)Termination phase: Saturation
% 50.01/7.93 % (690380)Time elapsed: 1.896 s
% 50.01/7.93 % (690380)Peak memory usage: 136 MB
% 50.01/7.93 % (690380)Instructions burned: 3256 (million)
% 50.01/7.93 % (690394)------------------------------
% 50.01/7.93 % (690394)------------------------------
% 50.01/7.93 % (690397)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=292957599:i=598:bs=on:bd=preordered:av=off:ss=axioms_2967 on theBenchmark for (2967ds/598Mi)
% 54.36/8.93 % (690398)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=676209494:i=2989:sd=3:ss=axioms:sgt=60_2967 on theBenchmark for (2967ds/2989Mi)
% 54.36/8.93 % (690399)dis+1011_1_ncem=casc2026/models/loop5.pt:sil=8000:tgt=full:npcc=on:bsd=on:sp=const_min:spb=goal_then_units:lcm=predicate:urr=ec_only:s2agt=16:random_seed=1993091843:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2966 on theBenchmark for (2966ds/1997Mi)
% 54.36/8.93 % (690401)lrs-1010_1_to=lpo:ncem=casc2026/models/loop8.pt:sil=64000:tgt=full:npcc=on:drc=off:sp=unary_frequency:urr=ec_only:fd=preordered:random_seed=3498995554:i=2088:bd=preordered:av=off_2966 on theBenchmark for (2966ds/2088Mi)
% 54.36/8.93 % (690397)Instruction limit reached!
% 54.36/8.93 % (690397)------------------------------
% 54.36/8.93 % (690397)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.36/8.93 % (690397)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.36/8.93 % (690397)CaDiCaL version: 2.1.3
% 54.36/8.93 % (690397)Termination reason: Instruction limit
% 54.36/8.93 % (690397)Termination phase: Saturation
% 54.36/8.93 % (690397)Time elapsed: 0.304 s
% 54.36/8.93 % (690397)Peak memory usage: 88 MB
% 54.36/8.93 % (690397)Instructions burned: 598 (million)
% 54.36/8.93 % (690406)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=2067349168:i=1098:nicw=on_2963 on theBenchmark for (2963ds/1098Mi)
% 54.36/8.93 % (690406)Instruction limit reached!
% 54.36/8.93 % (690406)------------------------------
% 54.36/8.93 % (690406)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.36/8.93 % (690406)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.36/8.93 % (690406)CaDiCaL version: 2.1.3
% 54.36/8.93 % (690406)Termination reason: Instruction limit
% 54.36/8.93 % (690406)Termination phase: Saturation
% 54.36/8.93 % (690406)Time elapsed: 0.572 s
% 54.36/8.93 % (690406)Peak memory usage: 92 MB
% 54.36/8.93 % (690406)Instructions burned: 1099 (million)
% 54.36/8.93 % (690408)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=3980900682:i=433:bd=preordered_2956 on theBenchmark for (2956ds/433Mi)
% 54.36/8.93 % (690408)Instruction limit reached!
% 54.36/8.93 % (690408)------------------------------
% 54.36/8.93 % (690408)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.36/8.93 % (690408)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.36/8.93 % (690408)CaDiCaL version: 2.1.3
% 54.36/8.93 % (690408)Termination reason: Instruction limit
% 54.36/8.93 % (690408)Termination phase: Saturation
% 54.36/8.93 % (690408)Time elapsed: 0.230 s
% 54.36/8.93 % (690408)Peak memory usage: 89 MB
% 54.36/8.93 % (690408)Instructions burned: 433 (million)
% 54.36/8.93 % (690401)Instruction limit reached!
% 54.36/8.93 % (690401)------------------------------
% 54.36/8.93 % (690401)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.36/8.93 % (690401)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.36/8.93 % (690401)CaDiCaL version: 2.1.3
% 54.36/8.93 % (690401)Termination reason: Instruction limit
% 54.36/8.93 % (690401)Termination phase: Saturation
% 54.36/8.93 % (690401)Time elapsed: 1.251 s
% 54.36/8.93 % (690401)Peak memory usage: 134 MB
% 54.36/8.93 % (690401)Instructions burned: 2089 (million)
% 54.36/8.93 % (690399)Instruction limit reached!
% 54.36/8.93 % (690399)------------------------------
% 54.36/8.93 % (690399)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.36/8.93 % (690399)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.36/8.93 % (690399)CaDiCaL version: 2.1.3
% 54.36/8.93 % (690399)Termination reason: Instruction limit
% 54.36/8.93 % (690399)Termination phase: Saturation
% 54.36/8.93 % (690399)Time elapsed: 1.367 s
% 54.36/8.93 % (690399)Peak memory usage: 134 MB
% 54.36/8.93 % (690399)Instructions burned: 1997 (million)
% 54.36/8.93 % (690410)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=65378022:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2952 on theBenchmark for (2952ds/2942Mi)
% 54.36/8.93 % (690411)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=1844825109:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2952 on theBenchmark for (2952ds/6922Mi)
% 54.36/8.93 % (690412)dis+10_5:1_sil=8000:tgt=full:plsq=on:plsqc=1:plsqr=32,1:urr=on:fd=off:nwc=0.5:br=off:slsqc=3:slsq=on:random_seed=1820372411:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2951 on theBenchmark for (2951ds/596Mi)
% 54.36/8.93 % (690412)Refutation not found, incomplete strategy
% 54.36/8.93 % (690412)------------------------------
% 54.36/8.93 % (690412)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.36/8.93 % (690412)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.36/8.93 % (690412)CaDiCaL version: 2.1.3
% 54.36/8.93 % (690412)Termination reason: Refutation not found, incomplete strategy
% 54.36/8.93 % (690412)Time elapsed: 0.004 s
% 54.36/8.93 % (690412)Peak memory usage: 88 MB
% 54.36/8.93 % (690412)Instructions burned: 6 (million)
% 54.36/8.93 % (690412)------------------------------
% 54.36/8.93 % (690412)------------------------------
% 54.36/8.93 % (690416)lrs+21_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=non_intro:urr=on:fd=preordered:random_seed=3820199312:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2948 on theBenchmark for (2948ds/4123Mi)
% 54.36/8.93 % (690398)Instruction limit reached!
% 54.36/8.93 % (690398)------------------------------
% 54.36/8.93 % (690398)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.36/8.93 % (690398)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.36/8.93 % (690398)CaDiCaL version: 2.1.3
% 54.36/8.93 % (690398)Termination reason: Instruction limit
% 54.36/8.93 % (690398)Termination phase: Saturation
% 54.36/8.93 % (690398)Time elapsed: 2.004 s
% 54.36/8.93 % (690398)Peak memory usage: 141 MB
% 54.36/8.93 % (690398)Instructions burned: 2991 (million)
% 54.36/8.93 % (690411)Refutation not found, incomplete strategy
% 54.36/8.93 % (690411)------------------------------
% 54.36/8.93 % (690411)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.36/8.93 % (690411)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.36/8.93 % (690411)CaDiCaL version: 2.1.3
% 54.36/8.93 % (690411)Termination reason: Refutation not found, incomplete strategy
% 54.36/8.93 % (690411)Time elapsed: 0.602 s
% 54.36/8.93 % (690411)Peak memory usage: 128 MB
% 54.36/8.93 % (690411)Instructions burned: 909 (million)
% 54.36/8.93 % (690418)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3169660117:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2946 on theBenchmark for (2946ds/16411Mi)
% 54.36/8.93 % (690411)------------------------------
% 54.36/8.93 % (690411)------------------------------
% 54.36/8.93 % (690420)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=1558792160:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2942 on theBenchmark for (2942ds/1670Mi)
% 54.36/8.93 % (690410)Instruction limit reached!
% 54.36/8.93 % (690410)------------------------------
% 54.36/8.93 % (690410)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.36/8.93 % (690410)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.36/8.93 % (690410)CaDiCaL version: 2.1.3
% 54.36/8.93 % (690410)Termination reason: Instruction limit
% 54.36/8.93 % (690410)Termination phase: Saturation
% 54.36/8.93 % (690410)Time elapsed: 1.977 s
% 54.36/8.93 % (690410)Peak memory usage: 137 MB
% 54.36/8.93 % (690410)Instructions burned: 2942 (million)
% 54.36/8.93 % (690420)Instruction limit reached!
% 54.36/8.93 % (690420)------------------------------
% 54.36/8.93 % (690420)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.36/8.93 % (690420)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.36/8.93 % (690420)CaDiCaL version: 2.1.3
% 54.36/8.93 % (690420)Termination reason: Instruction limit
% 54.36/8.93 % (690420)Termination phase: Saturation
% 54.36/8.93 % (690420)Time elapsed: 1.089 s
% 54.36/8.93 % (690420)Peak memory usage: 135 MB
% 54.36/8.93 % (690420)Instructions burned: 1672 (million)
% 54.36/8.93 % (690422)lrs+1011_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:prc=on:drc=off:fde=unused:sp=reverse_frequency:updr=off:random_seed=3202666546:st=3:cond=fast:i=1722:sd=2:ss=included:fsd=on_2931 on theBenchmark for (2931ds/1722Mi)
% 54.36/8.93 % (690423)ott-1004_1_anc=all_dependent:to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:sas=cadical:sp=const_frequency:acc=on:urr=ec_only:gs=on:s2agt=40:alpa=false:sac=on:random_seed=410702567:cts=off:cond=on:i=9530:bs=on:fsd=on_2930 on theBenchmark for (2930ds/9530Mi)
% 54.36/8.93 % (690416)Instruction limit reached!
% 54.36/8.93 % (690416)------------------------------
% 54.36/8.93 % (690416)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 54.36/8.93 % (690416)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 54.36/8.93 % (690416)CaDiCaL version: 2.1.3
% 54.36/8.93 % (690416)Termination reason: Instruction limit
% 54.36/8.93 % (690416)Termination phase: Saturation
% 54.36/8.93 % (690416)Time elapsed: 2.341 s
% 54.36/8.93 % (690416)Peak memory usage: 135 MB
% 54.36/8.93 % (690416)Instructions burned: 4125 (million)
% 54.36/8.93 % (690426)lrs+10_1_ncem=casc2026/models/loop4.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3204049092:st=2:i=4495:sd=10:ss=included_2923 on theBenchmark for (2923ds/4495Mi)
% 54.36/8.93 % (690418)First to succeed.
% 54.36/8.93 % (690418)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-690330"
% 54.36/8.93 % SZS status Satisfiable for theBenchmark
% 54.36/8.93 % SZS output start Saturation.
% See solution above
% 57.67/9.13 % SZS output start Definitions and Model Updates.
% 57.67/9.13 % SZS output end Definitions and Model Updates.
% 57.67/9.13 % (690418)------------------------------
% 57.67/9.13 % (690418)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 57.67/9.13 % (690418)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 57.67/9.13 % (690418)CaDiCaL version: 2.1.3
% 57.67/9.13 % (690418)Termination reason: Satisfiable
% 57.67/9.13 % (690418)Time elapsed: 2.293 s
% 57.67/9.13 % (690418)Peak memory usage: 141 MB
% 57.67/9.13 % (690418)Instructions burned: 3259 (million)
% 57.67/9.13 % (690418)------------------------------
% 57.67/9.13 % (690418)------------------------------
% 57.67/9.13 % (690330)Success in time 8.091 s
% 57.67/9.13 % Vampire exiting
%------------------------------------------------------------------------------