%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP124-1.005 : 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 : 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 10:12:41 AM UTC 2026
% Result : Satisfiable 47.55s 7.45s
% Output : Saturation 48.25s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u58,axiom,
~ product(e_5,e_4,e_3) ).
cnf(u63,axiom,
product(e_5,e_4,e_2) ).
cnf(u66,axiom,
~ product(e_5,e_4,e_1) ).
cnf(u83,axiom,
~ product(e_4,e_5,e_3) ).
cnf(u87,axiom,
~ product(e_4,e_5,e_2) ).
cnf(u92,axiom,
product(e_4,e_5,e_1) ).
cnf(u129,negated_conjecture,
product(e_2,e_5,e_3) ).
cnf(u132,negated_conjecture,
~ product(e_2,e_5,e_2) ).
cnf(u136,negated_conjecture,
~ product(e_2,e_5,e_1) ).
cnf(u144,negated_conjecture,
~ product(e_3,e_4,e_4) ).
cnf(u148,negated_conjecture,
~ product(e_3,e_4,e_3) ).
cnf(u152,negated_conjecture,
~ product(e_3,e_4,e_2) ).
cnf(u157,negated_conjecture,
product(e_3,e_4,e_1) ).
cnf(u178,negated_conjecture,
~ product(e_3,e_5,e_3) ).
cnf(u183,negated_conjecture,
product(e_3,e_5,e_2) ).
cnf(u186,negated_conjecture,
~ product(e_3,e_5,e_1) ).
cnf(u202,negated_conjecture,
product(e_3,e_2,e_4) ).
cnf(u205,negated_conjecture,
~ product(e_3,e_2,e_3) ).
cnf(u209,negated_conjecture,
~ product(e_3,e_2,e_2) ).
cnf(u213,negated_conjecture,
~ product(e_3,e_2,e_1) ).
cnf(u235,negated_conjecture,
~ product(e_1,e_5,e_3) ).
cnf(u239,negated_conjecture,
~ product(e_1,e_5,e_2) ).
cnf(u243,negated_conjecture,
~ product(e_1,e_5,e_1) ).
cnf(u258,negated_conjecture,
~ product(e_1,e_2,e_4) ).
cnf(u262,negated_conjecture,
~ product(e_1,e_2,e_3) ).
cnf(u266,negated_conjecture,
~ product(e_1,e_2,e_2) ).
cnf(u270,negated_conjecture,
~ product(e_1,e_2,e_1) ).
cnf(u301,negated_conjecture,
~ product(e_2,e_4,e_4) ).
cnf(u305,negated_conjecture,
~ product(e_2,e_4,e_3) ).
cnf(u309,negated_conjecture,
~ product(e_2,e_4,e_2) ).
cnf(u313,negated_conjecture,
~ product(e_2,e_4,e_1) ).
cnf(u327,negated_conjecture,
~ product(e_1,e_4,e_4) ).
cnf(u332,negated_conjecture,
product(e_1,e_4,e_3) ).
cnf(u335,negated_conjecture,
~ product(e_1,e_4,e_2) ).
cnf(u339,negated_conjecture,
~ product(e_1,e_4,e_1) ).
cnf(u387,negated_conjecture,
~ product(e_3,e_1,e_4) ).
cnf(u391,negated_conjecture,
~ product(e_3,e_1,e_3) ).
cnf(u395,negated_conjecture,
~ product(e_3,e_1,e_2) ).
cnf(u399,negated_conjecture,
~ product(e_3,e_1,e_1) ).
cnf(u414,negated_conjecture,
product(e_2,e_1,e_4) ).
cnf(u417,negated_conjecture,
~ product(e_2,e_1,e_3) ).
cnf(u421,negated_conjecture,
~ product(e_2,e_1,e_2) ).
cnf(u425,negated_conjecture,
~ product(e_2,e_1,e_1) ).
cnf(u504,negated_conjecture,
product(e_5,e_1,e_3) ).
cnf(u507,negated_conjecture,
~ product(e_5,e_1,e_2) ).
cnf(u511,negated_conjecture,
~ product(e_5,e_1,e_1) ).
cnf(u535,negated_conjecture,
~ product(e_5,e_2,e_3) ).
cnf(u539,negated_conjecture,
~ product(e_5,e_2,e_2) ).
cnf(u544,negated_conjecture,
product(e_5,e_2,e_1) ).
cnf(u762,negated_conjecture,
product(e_5,e_3,e_4) ).
cnf(u765,negated_conjecture,
~ product(e_5,e_3,e_3) ).
cnf(u769,negated_conjecture,
~ product(e_5,e_3,e_2) ).
cnf(u773,negated_conjecture,
~ product(e_5,e_3,e_1) ).
cnf(u781,negated_conjecture,
~ product(e_5,e_1,e_4) ).
cnf(u927,negated_conjecture,
~ product(e_1,e_3,e_4) ).
cnf(u931,negated_conjecture,
~ product(e_1,e_3,e_3) ).
cnf(u936,negated_conjecture,
product(e_1,e_3,e_2) ).
cnf(u939,negated_conjecture,
~ product(e_1,e_3,e_1) ).
cnf(u1048,negated_conjecture,
~ product(e_5,e_2,e_4) ).
cnf(u1181,negated_conjecture,
~ product(e_4,e_2,e_4) ).
cnf(u1186,negated_conjecture,
product(e_4,e_2,e_3) ).
cnf(u1189,negated_conjecture,
~ product(e_4,e_2,e_2) ).
cnf(u1451,negated_conjecture,
~ product(e_4,e_3,e_4) ).
cnf(u1455,negated_conjecture,
~ product(e_4,e_3,e_3) ).
cnf(u1459,negated_conjecture,
~ product(e_4,e_3,e_2) ).
cnf(u1463,negated_conjecture,
~ product(e_4,e_3,e_1) ).
cnf(u1707,negated_conjecture,
~ product(e_2,e_3,e_4) ).
cnf(u1711,negated_conjecture,
~ product(e_2,e_3,e_3) ).
cnf(u1720,negated_conjecture,
product(e_2,e_3,e_1) ).
cnf(u1853,negated_conjecture,
product(e_1,e_5,e_4) ).
cnf(u1873,negated_conjecture,
~ product(e_4,e_1,e_4) ).
cnf(u1877,negated_conjecture,
~ product(e_4,e_1,e_3) ).
cnf(u1882,negated_conjecture,
product(e_4,e_1,e_2) ).
cnf(u1885,negated_conjecture,
~ product(e_4,e_1,e_1) ).
cnf(u1974,negated_conjecture,
( ~ product(e_3,e_5,X2)
| ~ product(X0,X1,X2)
| ~ product(e_4,X0,X1)
| equalish(X1,e_5) ) ).
cnf(u2044,negated_conjecture,
( ~ product(e_3,e_5,X2)
| ~ product(X0,X1,X2)
| ~ product(e_4,X0,X1)
| equalish(X0,e_3) ) ).
cnf(u1604,negated_conjecture,
( ~ product(e_4,e_2,X0)
| equalish(X0,e_3) ) ).
cnf(u2761,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| product(X0,e_2,e_4)
| product(X0,e_2,e_1)
| equalish(e_1,X0) ) ).
cnf(u2994,negated_conjecture,
( ~ product(e_4,e_4,X0)
| ~ group_element(X0)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(u1935,negated_conjecture,
( ~ product(e_1,e_5,X0)
| equalish(X0,e_4) ) ).
cnf(u2562,negated_conjecture,
( ~ product(X0,X1,e_3)
| ~ product(e_2,X0,X1)
| equalish(X0,e_1) ) ).
cnf(u2599,negated_conjecture,
~ product(e_5,e_1,e_5) ).
cnf(u1600,negated_conjecture,
( ~ product(e_1,e_4,X0)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_1) ) ).
cnf(u1524,negated_conjecture,
( ~ product(X0,e_2,e_1)
| equalish(X0,e_5) ) ).
cnf(u1607,negated_conjecture,
( ~ product(e_2,e_3,X0)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_2) ) ).
cnf(u2405,negated_conjecture,
~ product(e_5,e_4,e_5) ).
cnf(u2785,axiom,
( ~ group_element(X0)
| product(X0,e_3,e_4)
| product(X0,e_3,e_3)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4) ) ).
cnf(u2207,axiom,
( ~ group_element(X0)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| product(e_5,X0,e_1)
| ~ product(e_5,X0,X1)
| equalish(X1,e_5) ) ).
cnf(u2993,negated_conjecture,
( ~ product(e_4,e_5,X0)
| ~ group_element(X0)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(u2589,negated_conjecture,
( ~ product(X0,X1,e_4)
| ~ product(e_5,X0,X1)
| equalish(X1,e_1) ) ).
cnf(u2936,negated_conjecture,
( ~ product(e_3,e_5,X0)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| equalish(X0,e_4) ) ).
cnf(u751,negated_conjecture,
( ~ group_element(X3)
| ~ product(X0,X1,X2)
| equalish(X0,X3)
| ~ product(e_4,X0,X1)
| product(e_4,X3,e_1)
| product(e_4,X3,e_2)
| product(e_4,X3,e_3)
| product(e_4,X3,e_4)
| ~ product(X3,e_5,X2) ) ).
cnf(u2815,axiom,
( ~ group_element(X0)
| product(X0,e_2,e_4)
| product(X0,e_2,e_3)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4) ) ).
cnf(u634,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,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(e_5,X0,X1) ) ).
cnf(u3036,negated_conjecture,
( ~ group_element(X1)
| ~ group_element(X0)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| product(X0,X0,e_4)
| equalish(e_1,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)
| ~ product(X0,e_1,X1) ) ).
cnf(u2251,negated_conjecture,
( ~ product(e_4,e_3,X0)
| equalish(X0,e_5) ) ).
cnf(u2442,negated_conjecture,
( ~ product(X0,X1,e_2)
| ~ product(e_5,X0,X1)
| equalish(X1,e_3) ) ).
cnf(u1742,negated_conjecture,
( ~ product(e_2,X0,e_1)
| equalish(X0,e_3) ) ).
cnf(u73,axiom,
( ~ product(X1,e_5,e_4)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| ~ group_element(X0)
| product(X0,e_5,e_1)
| equalish(X1,X0) ) ).
cnf(u1744,negated_conjecture,
( ~ product(e_3,e_1,X0)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_3) ) ).
cnf(u1741,negated_conjecture,
( ~ product(e_2,e_3,X0)
| equalish(X0,e_1) ) ).
cnf(u2956,negated_conjecture,
( ~ product(e_2,e_4,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)
| ~ group_element(X0) ) ).
cnf(u2784,axiom,
( ~ group_element(X0)
| product(X0,e_4,e_4)
| product(X0,e_4,e_3)
| product(X0,e_4,e_2)
| product(X0,e_4,e_1)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4) ) ).
cnf(u2021,negated_conjecture,
( ~ product(X1,X0,e_1)
| ~ product(e_2,X1,X0)
| equalish(X0,e_5) ) ).
cnf(u2203,axiom,
( ~ group_element(X0)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4)
| product(e_1,X0,e_1)
| ~ product(e_1,X0,X1)
| equalish(X1,e_5) ) ).
cnf(u2520,negated_conjecture,
( ~ product(X0,X1,e_3)
| ~ product(e_2,X0,X1)
| equalish(X1,e_4) ) ).
cnf(u2527,negated_conjecture,
~ product(e_2,e_2,e_5) ).
cnf(u2747,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| product(X0,e_3,e_4)
| product(X0,e_3,e_1)
| equalish(e_4,X0) ) ).
cnf(u1694,negated_conjecture,
( ~ product(e_3,X0,e_2)
| equalish(X0,e_5) ) ).
cnf(u1693,negated_conjecture,
( ~ product(e_3,e_5,X0)
| equalish(X0,e_2) ) ).
cnf(u2295,negated_conjecture,
( ~ product(X0,X1,e_3)
| ~ product(e_4,X0,X1)
| equalish(X0,e_5) ) ).
cnf(u2352,negated_conjecture,
( ~ product(X0,X1,e_1)
| ~ product(e_4,X0,X1)
| equalish(X0,e_2) ) ).
cnf(u2839,axiom,
( ~ group_element(X0)
| product(X0,e_3,e_4)
| product(X0,e_3,e_3)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1)
| product(X0,e_4,e_1)
| product(X0,e_4,e_2)
| product(X0,e_4,e_3)
| product(X0,e_4,e_4) ) ).
cnf(u2507,negated_conjecture,
( ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| equalish(X0,e_5) ) ).
cnf(qg2_2,negated_conjecture,
( ~ product(X5,X3,X4)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X0,X1,X2)
| equalish(X1,X4) ) ).
cnf(u2449,negated_conjecture,
~ product(e_5,e_5,e_4) ).
cnf(u2733,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_4,e_2)
| product(X0,e_4,e_3)
| product(X0,e_4,e_4)
| product(X0,e_4,e_1)
| equalish(e_2,X0) ) ).
cnf(u3015,negated_conjecture,
( ~ product(e_4,e_3,X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u2342,negated_conjecture,
( ~ product(X0,X1,e_1)
| ~ product(e_4,X0,X1)
| equalish(X1,e_3) ) ).
cnf(u74,axiom,
( ~ group_element(X0)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| product(X0,e_5,e_1)
| ~ product(X0,X1,e_4)
| equalish(X1,e_5) ) ).
cnf(u3070,negated_conjecture,
( ~ product(X0,e_4,e_3)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| equalish(e_4,X0)
| ~ group_element(X0) ) ).
cnf(u43,axiom,
( ~ product(e_5,X1,e_4)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| ~ group_element(X0)
| equalish(X0,e_5)
| product(e_5,X0,e_1)
| equalish(X1,X0) ) ).
cnf(u46,axiom,
( ~ product(X0,X1,X1)
| equalish(X0,X1) ) ).
cnf(u2303,negated_conjecture,
( ~ product(X0,X1,e_2)
| ~ product(e_1,X0,X1)
| equalish(X1,e_4) ) ).
cnf(u1598,negated_conjecture,
( ~ product(e_2,X0,e_4)
| equalish(X0,e_1) ) ).
cnf(u2109,negated_conjecture,
( ~ product(e_3,X1,X0)
| equalish(X0,e_5)
| ~ product(X1,X0,e_4) ) ).
cnf(u1936,negated_conjecture,
( ~ product(e_1,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(u2709,axiom,
( ~ group_element(X0)
| product(X1,e_4,e_1)
| product(X1,e_4,e_2)
| product(X1,e_4,e_3)
| product(X1,e_4,e_4)
| ~ group_element(X1)
| 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,X1) ) ).
cnf(u2096,negated_conjecture,
( ~ product(e_4,e_3,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_3) ) ).
cnf(u1018,axiom,
( ~ product(e_5,X0,e_2)
| equalish(X0,e_4) ) ).
cnf(e_5_is_not_e_1,axiom,
~ equalish(e_5,e_1) ).
cnf(u1500,negated_conjecture,
( ~ product(e_1,X0,e_2)
| equalish(X0,e_3) ) ).
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(u2690,negated_conjecture,
( ~ group_element(X0)
| ~ product(X1,X2,e_2)
| equalish(X2,e_4)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| ~ product(X0,X1,X2) ) ).
cnf(e_5_is_not_e_4,axiom,
~ equalish(e_5,e_4) ).
cnf(u1594,negated_conjecture,
( ~ product(e_5,e_3,X0)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_3) ) ).
cnf(u2900,negated_conjecture,
( ~ product(e_1,e_2,X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| ~ group_element(X0) ) ).
cnf(product_right_cancellation,axiom,
( ~ product(X0,X3,X2)
| ~ product(X0,X1,X2)
| equalish(X1,X3) ) ).
cnf(u2092,negated_conjecture,
( ~ product(e_1,e_4,X0)
| equalish(X0,e_3) ) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2) ).
cnf(u2661,axiom,
( ~ group_element(X1)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ group_element(X0)
| product(X0,X1,e_2)
| equalish(e_4,X1)
| product(X0,X1,e_1)
| product(X0,e_4,e_1)
| product(X0,e_4,e_2)
| product(X0,e_4,e_3)
| product(X0,e_4,e_4) ) ).
cnf(u2630,negated_conjecture,
( ~ product(X0,X1,e_5)
| ~ product(e_3,X0,X1)
| equalish(X1,e_4) ) ).
cnf(u2113,negated_conjecture,
( ~ product(X0,X1,e_1)
| ~ product(e_2,X0,X1)
| equalish(X0,e_4) ) ).
cnf(u2814,axiom,
( ~ group_element(X0)
| product(X0,e_3,e_4)
| product(X0,e_3,e_3)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4) ) ).
cnf(e_4_is_not_e_5,axiom,
~ equalish(e_4,e_5) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4) ).
cnf(u1264,negated_conjecture,
( ~ product(e_5,X0,e_3)
| equalish(X0,e_1) ) ).
cnf(u610,negated_conjecture,
( ~ group_element(X3)
| ~ product(X0,X1,X2)
| equalish(X1,e_5)
| ~ product(e_2,X0,X1)
| product(e_2,X3,e_1)
| product(e_2,X3,e_2)
| product(e_2,X3,e_3)
| product(e_2,X3,e_4)
| ~ product(X3,e_5,X2) ) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2) ).
cnf(u2365,negated_conjecture,
( ~ product(X0,X1,e_5)
| ~ product(e_1,X0,X1)
| equalish(X1,e_3) ) ).
cnf(u609,negated_conjecture,
( ~ group_element(X3)
| ~ product(X0,X1,X2)
| equalish(X1,e_5)
| ~ product(e_1,X0,X1)
| product(e_1,X3,e_1)
| product(e_1,X3,e_2)
| product(e_1,X3,e_3)
| product(e_1,X3,e_4)
| ~ product(X3,e_5,X2) ) ).
cnf(element_2,axiom,
group_element(e_2) ).
cnf(u2543,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_4)
| equalish(X0,e_3) ) ).
cnf(element_1,axiom,
group_element(e_1) ).
cnf(u2698,negated_conjecture,
( ~ group_element(X0)
| ~ product(X1,X2,e_2)
| equalish(X1,e_5)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| ~ product(X0,X1,X2) ) ).
cnf(u2313,negated_conjecture,
~ product(e_1,e_1,e_3) ).
cnf(u2193,negated_conjecture,
~ product(e_4,e_4,e_1) ).
cnf(u2397,negated_conjecture,
( ~ product(X0,X1,e_1)
| ~ product(e_5,X0,X1)
| equalish(X1,e_4) ) ).
cnf(u2669,negated_conjecture,
( ~ product(X0,X1,e_5)
| ~ product(e_3,X0,X1)
| equalish(X0,e_2) ) ).
cnf(u3013,negated_conjecture,
( ~ product(e_4,e_5,X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u2977,negated_conjecture,
( ~ product(e_3,e_1,X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u1632,negated_conjecture,
( ~ product(e_5,e_1,X0)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_1) ) ).
cnf(u2917,negated_conjecture,
( ~ product(e_2,e_5,X0)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_4)
| equalish(X0,e_1) ) ).
cnf(u1639,negated_conjecture,
( ~ product(e_5,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(u1931,negated_conjecture,
( ~ product(e_1,e_2,X0)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_2) ) ).
cnf(u2995,negated_conjecture,
( ~ product(e_4,e_3,X0)
| ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| equalish(X0,e_2) ) ).
cnf(u1612,negated_conjecture,
( ~ product(e_3,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(u2840,axiom,
( ~ group_element(X0)
| product(X0,e_2,e_4)
| product(X0,e_2,e_3)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1)
| product(X0,e_4,e_1)
| product(X0,e_4,e_2)
| product(X0,e_4,e_3)
| product(X0,e_4,e_4) ) ).
cnf(u1591,negated_conjecture,
( ~ product(e_2,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u620,negated_conjecture,
( ~ product(e_5,e_4,X0)
| ~ product(X1,X2,X3)
| ~ product(X2,X3,X0)
| equalish(X2,e_5)
| product(X1,e_5,e_1)
| product(X1,e_5,e_2)
| product(X1,e_5,e_3)
| equalish(X1,e_5)
| ~ group_element(X1) ) ).
cnf(u2659,axiom,
( ~ group_element(X1)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ group_element(X0)
| product(X0,X1,e_2)
| equalish(e_2,X1)
| product(X0,X1,e_1)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| product(X0,e_2,e_4) ) ).
cnf(u611,negated_conjecture,
( ~ group_element(X3)
| ~ product(X0,X1,X2)
| equalish(X1,e_5)
| ~ product(e_3,X0,X1)
| product(e_3,X3,e_1)
| product(e_3,X3,e_2)
| product(e_3,X3,e_3)
| product(e_3,X3,e_4)
| ~ product(X3,e_5,X2) ) ).
cnf(u3084,negated_conjecture,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X1,X1,e_1)
| product(X1,X1,e_2)
| product(X1,X1,e_3)
| product(X1,X1,e_4)
| equalish(X0,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)
| ~ product(X1,e_2,X0) ) ).
cnf(u2196,axiom,
( ~ group_element(X2)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ group_element(X0)
| ~ group_element(X1)
| equalish(X2,X1)
| product(X0,X1,e_1)
| product(X0,X2,e_1)
| product(X0,X2,e_2)
| product(X0,X2,e_3)
| product(X0,X2,e_4) ) ).
cnf(u3016,negated_conjecture,
( ~ product(e_4,e_2,X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u1593,negated_conjecture,
( ~ product(e_5,e_3,X0)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_5) ) ).
cnf(u1806,negated_conjecture,
( ~ product(e_5,e_2,X0)
| ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(u2671,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_2)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ product(e_3,X0,X1) ) ).
cnf(u2272,negated_conjecture,
( ~ group_element(X0)
| product(e_5,X0,e_3)
| product(e_5,X0,e_2)
| equalish(X0,e_5)
| product(e_5,X0,e_1)
| equalish(e_3,X0) ) ).
cnf(u752,negated_conjecture,
( ~ group_element(X3)
| ~ product(X0,X1,X2)
| equalish(X0,X3)
| ~ product(e_5,X0,X1)
| product(e_5,X3,e_1)
| product(e_5,X3,e_2)
| product(e_5,X3,e_3)
| product(e_5,X3,e_4)
| ~ product(X3,e_5,X2) ) ).
cnf(u3087,negated_conjecture,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X1,X1,e_1)
| product(X1,X1,e_2)
| product(X1,X1,e_3)
| product(X1,X1,e_4)
| equalish(X0,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)
| ~ product(X1,e_5,X0) ) ).
cnf(u2660,axiom,
( ~ group_element(X1)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ group_element(X0)
| product(X0,X1,e_2)
| equalish(e_3,X1)
| product(X0,X1,e_1)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| product(X0,e_3,e_4) ) ).
cnf(u2206,axiom,
( ~ group_element(X0)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4)
| product(e_4,X0,e_1)
| ~ product(e_4,X0,X1)
| equalish(X1,e_5) ) ).
cnf(u3125,negated_conjecture,
( ~ product(X0,e_4,e_3)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_4)
| equalish(e_3,X0)
| ~ group_element(X0) ) ).
cnf(u2898,negated_conjecture,
( ~ product(e_1,e_5,X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u2103,negated_conjecture,
( ~ product(X0,X1,e_2)
| ~ product(e_4,X0,X1)
| equalish(X0,e_3) ) ).
cnf(u195,negated_conjecture,
~ product(e_3,e_2,e_5) ).
cnf(u748,negated_conjecture,
( ~ group_element(X3)
| ~ product(X0,X1,X2)
| equalish(X0,X3)
| ~ product(e_1,X0,X1)
| product(e_1,X3,e_1)
| product(e_1,X3,e_2)
| product(e_1,X3,e_3)
| product(e_1,X3,e_4)
| ~ product(X3,e_5,X2) ) ).
cnf(u2020,negated_conjecture,
( ~ product(e_1,e_5,X2)
| equalish(X0,e_1)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,X2) ) ).
cnf(u2577,negated_conjecture,
( ~ group_element(X0)
| equalish(X1,e_2)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ product(e_4,X0,X1) ) ).
cnf(element_4,axiom,
group_element(e_4) ).
cnf(u2710,axiom,
( ~ group_element(X0)
| product(X1,e_5,e_1)
| product(X1,e_5,e_2)
| product(X1,e_5,e_3)
| product(X1,e_5,e_4)
| ~ group_element(X1)
| 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,X1) ) ).
cnf(u2376,negated_conjecture,
( ~ product(X0,X1,e_5)
| ~ product(e_1,X0,X1)
| equalish(X0,e_4) ) ).
cnf(u1019,axiom,
( ~ product(X0,e_4,e_2)
| equalish(X0,e_5) ) ).
cnf(u1779,axiom,
( ~ group_element(X2)
| equalish(X0,X1)
| product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| ~ group_element(X1)
| product(X0,X2,e_1)
| product(X0,X2,e_2)
| product(X0,X2,e_3)
| product(X0,X2,e_4)
| ~ group_element(X0) ) ).
cnf(u2541,negated_conjecture,
~ product(e_2,e_5,e_5) ).
cnf(u2029,negated_conjecture,
~ product(e_2,e_2,e_3) ).
cnf(u112,negated_conjecture,
( ~ product(X1,X2,e_5)
| ~ product(X0,X1,X2)
| equalish(X2,X0)
| ~ group_element(X0)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| product(X0,X0,e_4) ) ).
cnf(u2241,negated_conjecture,
( ~ product(e_3,e_1,X0)
| equalish(X0,e_5) ) ).
cnf(u2181,negated_conjecture,
( ~ product(X0,X1,e_3)
| ~ product(e_5,X0,X1)
| equalish(X0,e_4) ) ).
cnf(u3034,negated_conjecture,
( ~ group_element(X1)
| ~ group_element(X0)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_4)
| equalish(e_3,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)
| ~ product(X0,e_3,X1) ) ).
cnf(u1829,negated_conjecture,
( ~ product(e_4,e_5,X2)
| equalish(X1,e_5)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,X2) ) ).
cnf(u2974,negated_conjecture,
( ~ product(e_3,e_5,X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u105,negated_conjecture,
( ~ group_element(X0)
| ~ product(e_5,X2,X3)
| ~ product(X2,X3,X1)
| equalish(X3,e_4)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| ~ product(X0,e_4,X1)
| equalish(X0,e_5) ) ).
cnf(u108,negated_conjecture,
( ~ product(X1,X2,X0)
| ~ product(X0,X1,X2)
| equalish(X2,X0) ) ).
cnf(u1943,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| equalish(X0,e_1) ) ).
cnf(u1628,axiom,
( ~ product(e_4,e_5,X0)
| equalish(X0,e_1) ) ).
cnf(u2646,negated_conjecture,
( ~ product(X0,e_5,e_4)
| ~ group_element(X0)
| 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(u102,negated_conjecture,
( ~ product(X0,X0,X1)
| ~ product(X0,X2,X3)
| ~ product(X2,X3,X1)
| equalish(X3,X0) ) ).
cnf(u2292,negated_conjecture,
~ product(e_4,e_4,e_2) ).
cnf(u2166,negated_conjecture,
~ product(e_5,e_5,e_1) ).
cnf(u1017,axiom,
( ~ product(e_5,e_4,X0)
| equalish(X0,e_2) ) ).
cnf(u1615,negated_conjecture,
( ~ product(e_2,e_4,X0)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_4) ) ).
cnf(u1526,negated_conjecture,
( ~ product(e_2,e_1,X0)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_1) ) ).
cnf(u2159,negated_conjecture,
( ~ product(X0,X1,e_3)
| ~ product(e_5,X0,X1)
| equalish(X1,e_2) ) ).
cnf(u1760,negated_conjecture,
( ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| equalish(X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u2598,negated_conjecture,
~ product(e_5,e_5,e_3) ).
cnf(u2407,axiom,
( ~ group_element(X1)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| ~ group_element(X0)
| product(X0,e_5,e_1)
| equalish(X1,X0)
| product(X1,e_5,e_1)
| product(X1,e_5,e_2)
| product(X1,e_5,e_3)
| equalish(X1,e_5)
| product(X0,e_5,e_2) ) ).
cnf(u1503,negated_conjecture,
( ~ product(e_3,e_2,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_2) ) ).
cnf(u2145,negated_conjecture,
~ product(e_3,e_3,e_4) ).
cnf(u53,axiom,
( product(X0,e_5,e_4)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| ~ group_element(X0) ) ).
cnf(u1489,negated_conjecture,
( ~ product(e_4,e_1,X0)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_4) ) ).
cnf(u1522,negated_conjecture,
( ~ product(e_5,e_2,X0)
| equalish(X0,e_1) ) ).
cnf(u2480,negated_conjecture,
( ~ product(X0,X1,e_2)
| ~ product(e_3,X0,X1)
| equalish(X1,e_1) ) ).
cnf(u47,axiom,
( ~ product(X0,X1,e_5)
| 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)
| ~ group_element(X2) ) ).
cnf(u2387,negated_conjecture,
~ product(e_3,e_4,e_5) ).
cnf(u34,axiom,
( ~ product(X0,X1,X0)
| equalish(X1,X0) ) ).
cnf(u2011,negated_conjecture,
( ~ product(e_2,e_5,X2)
| equalish(X0,e_2)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,X2) ) ).
cnf(u2389,negated_conjecture,
( ~ product(X0,X1,e_1)
| ~ product(e_3,X0,X1)
| equalish(X0,e_5) ) ).
cnf(u1502,negated_conjecture,
( ~ product(e_3,e_2,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_3) ) ).
cnf(u1267,negated_conjecture,
( ~ product(e_1,e_3,X0)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_3) ) ).
cnf(u1120,negated_conjecture,
( ~ product(e_5,e_4,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)
| ~ group_element(X0) ) ).
cnf(u2919,negated_conjecture,
( ~ product(e_2,e_2,X0)
| ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| equalish(X0,e_1) ) ).
cnf(u2955,negated_conjecture,
( ~ product(e_2,e_5,X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u2881,negated_conjecture,
( ~ product(e_1,e_2,X0)
| ~ group_element(X0)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(u2920,negated_conjecture,
( ~ product(e_2,e_1,X0)
| ~ group_element(X0)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4)
| equalish(X0,e_1) ) ).
cnf(u3102,negated_conjecture,
( ~ product(X0,e_2,e_4)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| equalish(e_4,X0)
| ~ group_element(X0) ) ).
cnf(u618,negated_conjecture,
( ~ product(X0,X0,X1)
| ~ product(X0,X2,X3)
| ~ product(X2,X3,X1)
| equalish(X2,X0) ) ).
cnf(u2682,negated_conjecture,
~ product(e_2,e_2,e_4) ).
cnf(u1745,negated_conjecture,
( ~ product(e_3,e_1,X0)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_1) ) ).
cnf(u1266,negated_conjecture,
( ~ product(e_1,e_3,X0)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_1) ) ).
cnf(u2976,negated_conjecture,
( ~ product(e_3,e_3,X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u1265,negated_conjecture,
( ~ product(X0,e_1,e_3)
| equalish(X0,e_5) ) ).
cnf(u1930,negated_conjecture,
( ~ product(e_1,e_2,X0)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_1) ) ).
cnf(u2899,negated_conjecture,
( ~ product(e_1,e_3,X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u1523,negated_conjecture,
( ~ product(e_5,X0,e_1)
| equalish(X0,e_2) ) ).
cnf(u1697,negated_conjecture,
( ~ product(e_5,e_2,X0)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_2) ) ).
cnf(u2708,axiom,
( ~ group_element(X0)
| product(X1,e_3,e_1)
| product(X1,e_3,e_2)
| product(X1,e_3,e_3)
| product(X1,e_3,e_4)
| ~ group_element(X1)
| 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,X1) ) ).
cnf(u2378,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_4)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ product(e_1,X0,X1) ) ).
cnf(u1525,negated_conjecture,
( ~ product(e_2,e_1,X0)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_2) ) ).
cnf(u1838,negated_conjecture,
( ~ product(e_1,e_5,X2)
| equalish(X1,e_5)
| ~ product(e_3,X0,X1)
| ~ product(X0,X1,X2) ) ).
cnf(u75,axiom,
( ~ group_element(X0)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| product(X0,e_5,e_1)
| ~ product(X0,e_5,X1)
| equalish(X1,e_4) ) ).
cnf(u619,negated_conjecture,
( ~ group_element(X2)
| ~ product(X2,X3,X4)
| ~ product(X3,X4,X1)
| equalish(X3,X0)
| ~ group_element(X0)
| product(X2,X0,e_1)
| product(X2,X0,e_2)
| product(X2,X0,e_3)
| product(X2,X0,e_4)
| ~ product(X0,e_5,X1) ) ).
cnf(u1630,axiom,
( ~ product(X0,e_5,e_1)
| equalish(X0,e_4) ) ).
cnf(u2450,negated_conjecture,
~ product(e_5,e_3,e_5) ).
cnf(u2938,negated_conjecture,
( ~ product(e_3,e_3,X0)
| ~ group_element(X0)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| equalish(X0,e_4) ) ).
cnf(u1629,axiom,
( ~ product(e_4,X0,e_1)
| equalish(X0,e_5) ) ).
cnf(u33,axiom,
( ~ product(X0,X0,X1)
| equalish(X1,X0) ) ).
cnf(u2231,negated_conjecture,
( ~ product(e_2,e_4,X0)
| equalish(X0,e_5) ) ).
cnf(u2672,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_4)
| equalish(X0,e_5) ) ).
cnf(product_total_function2,axiom,
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| equalish(X2,X3) ) ).
cnf(u1743,negated_conjecture,
( ~ product(X0,e_3,e_1)
| equalish(X0,e_2) ) ).
cnf(u1642,negated_conjecture,
( ~ product(e_3,e_4,X0)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_4) ) ).
cnf(u2408,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| product(X0,e_5,e_2)
| product(X0,e_5,e_1)
| equalish(e_1,X0) ) ).
cnf(product_idempotence,axiom,
product(X0,X0,X0) ).
cnf(u2882,negated_conjecture,
( ~ product(e_1,e_1,X0)
| ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(product_left_cancellation,axiom,
( ~ product(X3,X1,X2)
| ~ product(X0,X1,X2)
| equalish(X0,X3) ) ).
cnf(u2093,negated_conjecture,
( ~ product(e_1,X0,e_3)
| equalish(X0,e_4) ) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4) ).
cnf(e_5_is_not_e_2,axiom,
~ equalish(e_5,e_2) ).
cnf(u2404,negated_conjecture,
~ product(e_5,e_5,e_2) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1) ).
cnf(u1695,negated_conjecture,
( ~ product(X0,e_5,e_2)
| equalish(X0,e_3) ) ).
cnf(e_1_is_not_e_5,axiom,
~ equalish(e_1,e_5) ).
cnf(u2367,negated_conjecture,
( ~ group_element(X0)
| equalish(X1,e_3)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ product(e_1,X0,X1) ) ).
cnf(u2975,negated_conjecture,
( ~ product(e_3,e_4,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)
| ~ group_element(X0) ) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4) ).
cnf(element_3,axiom,
group_element(e_3) ).
cnf(element_5,axiom,
group_element(e_5) ).
cnf(u2487,negated_conjecture,
~ product(e_3,e_5,e_4) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2) ).
cnf(u1787,negated_conjecture,
( ~ product(e_5,e_3,X0)
| ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(u1640,negated_conjecture,
( ~ product(X0,e_3,e_4)
| equalish(X0,e_5) ) ).
cnf(u2152,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| product(X0,e_5,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4) ) ).
cnf(u120,negated_conjecture,
~ product(e_2,e_5,e_4) ).
cnf(u1597,negated_conjecture,
( ~ product(e_2,e_1,X0)
| equalish(X0,e_4) ) ).
cnf(u2349,negated_conjecture,
~ product(e_4,e_4,e_5) ).
cnf(u2146,negated_conjecture,
( ~ product(X0,X1,e_3)
| ~ product(e_1,X0,X1)
| equalish(X0,e_2) ) ).
cnf(u2719,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4)
| product(X0,e_1,e_1)
| equalish(e_3,X0) ) ).
cnf(u114,negated_conjecture,
( ~ group_element(X0)
| equalish(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)
| ~ product(e_5,X0,X1) ) ).
cnf(u1611,negated_conjecture,
( ~ product(e_3,e_2,X0)
| equalish(X0,e_4) ) ).
cnf(u1592,negated_conjecture,
( ~ product(X0,e_5,e_3)
| equalish(X0,e_2) ) ).
cnf(u1599,negated_conjecture,
( ~ product(X0,e_1,e_4)
| equalish(X0,e_2) ) ).
cnf(u2578,negated_conjecture,
~ product(e_4,e_5,e_5) ).
cnf(u3136,negated_conjecture,
( ~ product(X0,e_1,e_2)
| product(X0,X0,e_1)
| product(X0,X0,e_3)
| product(X0,X0,e_4)
| equalish(e_2,X0)
| ~ group_element(X0) ) ).
cnf(u2205,axiom,
( ~ group_element(X0)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| product(e_3,X0,e_1)
| ~ product(e_3,X0,X1)
| equalish(X1,e_5) ) ).
cnf(u1499,negated_conjecture,
( ~ product(e_1,e_3,X0)
| equalish(X0,e_2) ) ).
cnf(u3035,negated_conjecture,
( ~ group_element(X1)
| ~ group_element(X0)
| product(X0,X0,e_1)
| product(X0,X0,e_3)
| product(X0,X0,e_4)
| equalish(e_2,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)
| ~ product(X0,e_2,X1) ) ).
cnf(u2901,negated_conjecture,
( ~ product(e_1,e_1,X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u2609,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_1)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ product(e_4,X0,X1) ) ).
cnf(u3083,negated_conjecture,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X1,X1,e_1)
| product(X1,X1,e_2)
| product(X1,X1,e_3)
| product(X1,X1,e_4)
| equalish(X0,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)
| ~ product(X1,e_1,X0) ) ).
cnf(u2857,axiom,
( ~ group_element(X0)
| product(X0,e_2,e_4)
| product(X0,e_2,e_3)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| product(X0,e_3,e_4) ) ).
cnf(u1501,negated_conjecture,
( ~ product(X0,e_3,e_2)
| equalish(X0,e_1) ) ).
cnf(u643,negated_conjecture,
( ~ product(e_4,e_5,X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| ~ group_element(X0)
| equalish(X0,e_5) ) ).
cnf(u1858,negated_conjecture,
( ~ product(e_2,e_5,X2)
| equalish(X1,e_5)
| ~ product(e_1,X0,X1)
| ~ product(X0,X1,X2) ) ).
cnf(u3085,negated_conjecture,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X1,X1,e_1)
| product(X1,X1,e_2)
| product(X1,X1,e_3)
| product(X1,X1,e_4)
| equalish(X0,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)
| ~ product(X1,e_3,X0) ) ).
cnf(u1021,negated_conjecture,
( ~ product(e_4,e_2,X0)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_2) ) ).
cnf(u2513,negated_conjecture,
( ~ product(X0,X1,e_2)
| ~ product(e_5,X0,X1)
| equalish(X0,e_1) ) ).
cnf(u2996,negated_conjecture,
( ~ product(e_4,e_2,X0)
| ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(u2094,negated_conjecture,
( ~ product(X0,e_4,e_3)
| equalish(X0,e_1) ) ).
cnf(u2586,negated_conjecture,
( ~ product(X0,X1,e_5)
| ~ product(e_2,X0,X1)
| equalish(X0,e_3) ) ).
cnf(u1606,negated_conjecture,
( ~ product(X0,e_2,e_3)
| equalish(X0,e_4) ) ).
cnf(u1123,negated_conjecture,
( ~ product(e_5,e_1,X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u2880,negated_conjecture,
( ~ product(e_1,e_3,X0)
| ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(u1605,negated_conjecture,
( ~ product(e_4,X0,e_3)
| equalish(X0,e_2) ) ).
cnf(u1929,negated_conjecture,
( ~ product(X0,e_1,e_2)
| equalish(X0,e_4) ) ).
cnf(u3059,negated_conjecture,
( ~ product(X0,e_3,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_4)
| equalish(e_3,X0)
| ~ group_element(X0) ) ).
cnf(u1487,negated_conjecture,
( ~ product(e_3,X0,e_1)
| equalish(X0,e_4) ) ).
cnf(u2633,negated_conjecture,
~ product(e_3,e_5,e_5) ).
cnf(u2939,negated_conjecture,
( ~ product(e_3,e_1,X0)
| ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_4)
| equalish(X0,e_4) ) ).
cnf(u1601,negated_conjecture,
( ~ product(e_1,e_4,X0)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_4) ) ).
cnf(u1939,negated_conjecture,
( ~ product(e_5,e_4,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_4) ) ).
cnf(u1122,negated_conjecture,
( ~ product(e_5,e_2,X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u44,axiom,
( ~ group_element(X0)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_1)
| equalish(X0,e_5)
| ~ product(e_5,X0,X1)
| equalish(X1,e_4) ) ).
cnf(u1121,negated_conjecture,
( ~ product(e_5,e_3,X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u2632,negated_conjecture,
( ~ group_element(X0)
| equalish(X1,e_4)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ product(e_3,X0,X1) ) ).
cnf(u2635,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_4)
| equalish(X1,e_3) ) ).
cnf(u2221,negated_conjecture,
( ~ product(e_1,e_2,X0)
| equalish(X0,e_5) ) ).
cnf(u2607,negated_conjecture,
( ~ product(X0,X1,e_5)
| ~ product(e_4,X0,X1)
| equalish(X0,e_1) ) ).
cnf(u116,negated_conjecture,
( ~ product(e_4,e_5,X0)
| equalish(X0,e_4)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| ~ group_element(X0)
| equalish(X0,e_5) ) ).
cnf(u2488,negated_conjecture,
~ product(e_3,e_3,e_5) ).
cnf(u2879,negated_conjecture,
( ~ product(e_1,e_5,X0)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| equalish(X0,e_3) ) ).
cnf(u2204,axiom,
( ~ group_element(X0)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| product(e_2,X0,e_1)
| ~ product(e_2,X0,X1)
| equalish(X1,e_5) ) ).
cnf(u2000,negated_conjecture,
( ~ product(e_4,e_5,X2)
| equalish(X0,e_4)
| ~ product(e_2,X0,X1)
| ~ product(X0,X1,X2) ) ).
cnf(u1490,negated_conjecture,
( ~ product(e_4,e_1,X0)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_1) ) ).
cnf(u103,negated_conjecture,
( ~ group_element(X2)
| ~ product(X2,X3,X4)
| ~ product(X3,X4,X1)
| equalish(X4,e_5)
| ~ group_element(X0)
| product(X2,X0,e_1)
| product(X2,X0,e_2)
| product(X2,X0,e_3)
| product(X2,X0,e_4)
| ~ product(X0,e_5,X1) ) ).
cnf(u2293,negated_conjecture,
~ product(e_4,e_2,e_5) ).
cnf(u2957,negated_conjecture,
( ~ product(e_2,e_2,X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u2312,negated_conjecture,
~ product(e_1,e_3,e_5) ).
cnf(u1614,negated_conjecture,
( ~ product(e_2,e_4,X0)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_2) ) ).
cnf(u2662,axiom,
( ~ group_element(X1)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ group_element(X0)
| product(X0,X1,e_2)
| equalish(e_5,X1)
| product(X0,X1,e_1)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4) ) ).
cnf(u1927,negated_conjecture,
( ~ product(e_4,e_1,X0)
| equalish(X0,e_2) ) ).
cnf(u48,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(X0,X1,e_4)
| equalish(X1,e_5) ) ).
cnf(u3014,negated_conjecture,
( ~ product(e_4,e_4,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)
| ~ group_element(X0) ) ).
cnf(u3033,negated_conjecture,
( ~ group_element(X1)
| ~ group_element(X0)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| equalish(e_4,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)
| ~ product(X0,e_4,X1) ) ).
cnf(u42,axiom,
( product(e_5,X0,e_4)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| ~ group_element(X0)
| equalish(X0,e_5) ) ).
cnf(u2706,axiom,
( ~ group_element(X0)
| product(X1,e_1,e_1)
| product(X1,e_1,e_2)
| product(X1,e_1,e_3)
| product(X1,e_1,e_4)
| ~ group_element(X1)
| 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,X1) ) ).
cnf(u41,axiom,
( ~ group_element(X0)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| product(X0,X0,e_4)
| equalish(e_5,X0) ) ).
cnf(u2430,negated_conjecture,
( ~ product(X0,X1,e_1)
| ~ product(e_5,X0,X1)
| equalish(X0,e_3) ) ).
cnf(u35,axiom,
equalish(X0,X0) ).
cnf(u1700,negated_conjecture,
~ product(e_2,e_3,e_5) ).
cnf(u38,axiom,
( ~ group_element(X1)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| ~ group_element(X0)
| ~ product(X1,X0,X2)
| equalish(X2,e_5) ) ).
cnf(u37,axiom,
( ~ product(X1,X2,e_5)
| 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)
| equalish(X2,X0) ) ).
cnf(u1928,negated_conjecture,
( ~ product(e_4,X0,e_2)
| equalish(X0,e_1) ) ).
cnf(u1608,negated_conjecture,
( ~ product(e_2,e_3,X0)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_3) ) ).
cnf(e_5_is_not_e_3,axiom,
~ equalish(e_5,e_3) ).
cnf(u2658,axiom,
( ~ group_element(X1)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ group_element(X0)
| product(X0,X1,e_2)
| equalish(e_1,X1)
| product(X0,X1,e_1)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4) ) ).
cnf(u2552,negated_conjecture,
~ product(e_5,e_4,e_4) ).
cnf(u626,negated_conjecture,
( ~ group_element(X0)
| ~ product(e_5,X2,X3)
| ~ product(X2,X3,X1)
| equalish(X2,X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| ~ product(X0,e_4,X1)
| equalish(X0,e_5) ) ).
cnf(qg2_1,negated_conjecture,
( ~ product(X5,X3,X4)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X0,X1,X2)
| equalish(X0,X3) ) ).
cnf(u2095,negated_conjecture,
( ~ product(e_4,e_3,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_4) ) ).
cnf(u1696,negated_conjecture,
( ~ product(e_5,e_2,X0)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_5) ) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1) ).
cnf(e_3_is_not_e_5,axiom,
~ equalish(e_3,e_5) ).
cnf(u2937,negated_conjecture,
( ~ product(e_3,e_4,X0)
| ~ group_element(X0)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| equalish(X0,e_4) ) ).
cnf(u3086,negated_conjecture,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X1,X1,e_1)
| product(X1,X1,e_2)
| product(X1,X1,e_3)
| product(X1,X1,e_4)
| equalish(X0,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)
| ~ product(X1,e_4,X0) ) ).
cnf(u1486,negated_conjecture,
( ~ product(e_3,e_4,X0)
| equalish(X0,e_1) ) ).
cnf(u1938,negated_conjecture,
( ~ product(e_5,e_4,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_5) ) ).
cnf(u2132,negated_conjecture,
( ~ product(e_3,X0,X1)
| equalish(X0,e_1)
| ~ product(X0,X1,e_4) ) ).
cnf(u2610,negated_conjecture,
( ~ product(X0,X1,e_4)
| ~ product(e_5,X0,X1)
| equalish(X0,e_2) ) ).
cnf(u1488,negated_conjecture,
( ~ product(X0,e_4,e_1)
| equalish(X0,e_3) ) ).
cnf(u122,negated_conjecture,
( ~ product(e_4,X0,e_5)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| ~ group_element(X0) ) ).
cnf(u2783,axiom,
( ~ group_element(X0)
| product(X0,e_5,e_4)
| product(X0,e_5,e_3)
| product(X0,e_5,e_2)
| product(X0,e_5,e_1)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4) ) ).
cnf(u2707,axiom,
( ~ group_element(X0)
| product(X1,e_2,e_1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_3)
| product(X1,e_2,e_4)
| ~ group_element(X1)
| 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,X1) ) ).
cnf(u1263,negated_conjecture,
( ~ product(e_5,e_1,X0)
| equalish(X0,e_3) ) ).
cnf(u2958,negated_conjecture,
( ~ product(e_2,e_1,X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u2538,negated_conjecture,
( ~ product(X0,X1,e_5)
| ~ product(e_2,X0,X1)
| equalish(X1,e_1) ) ).
cnf(u2652,negated_conjecture,
( ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_4)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| equalish(X0,e_5) ) ).
cnf(u2540,negated_conjecture,
( ~ group_element(X0)
| equalish(X1,e_1)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ product(e_2,X0,X1) ) ).
cnf(u3114,negated_conjecture,
( ~ product(X0,e_3,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| product(X0,X0,e_4)
| equalish(e_1,X0)
| ~ group_element(X0) ) ).
cnf(u3081,negated_conjecture,
( ~ product(X0,e_1,e_2)
| product(X0,X0,e_3)
| product(X0,X0,e_4)
| equalish(e_1,X0)
| ~ group_element(X0) ) ).
cnf(u1020,negated_conjecture,
( ~ product(e_4,e_2,X0)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_4) ) ).
cnf(u2368,negated_conjecture,
~ product(e_1,e_5,e_5) ).
cnf(u632,negated_conjecture,
( ~ product(X1,X2,e_5)
| ~ product(X0,X1,X2)
| equalish(X1,X0)
| ~ group_element(X0)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| product(X0,X0,e_4) ) ).
cnf(u1638,negated_conjecture,
( ~ product(e_5,e_3,X0)
| equalish(X0,e_4) ) ).
cnf(u1989,negated_conjecture,
( ~ product(X0,X1,e_2)
| ~ product(e_4,X0,X1)
| equalish(X1,e_5) ) ).
cnf(u2270,negated_conjecture,
~ product(e_1,e_1,e_4) ).
cnf(u104,negated_conjecture,
( ~ product(e_5,e_4,X0)
| ~ product(X1,X2,X3)
| ~ product(X2,X3,X0)
| equalish(X3,e_4)
| product(X1,e_5,e_1)
| product(X1,e_5,e_2)
| product(X1,e_5,e_3)
| equalish(X1,e_5)
| ~ group_element(X1) ) ).
cnf(u1866,negated_conjecture,
~ product(e_4,e_1,e_5) ).
cnf(u1000,negated_conjecture,
~ product(e_4,e_2,e_1) ).
cnf(u2136,negated_conjecture,
( ~ product(X1,X0,e_3)
| ~ product(e_1,X1,X0)
| equalish(X0,e_5) ) ).
cnf(u2492,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_4)
| equalish(X1,e_2) ) ).
cnf(u628,negated_conjecture,
( ~ product(X1,X2,X0)
| ~ product(X0,X1,X2)
| equalish(X1,X0) ) ).
cnf(u1590,negated_conjecture,
( ~ product(e_2,e_5,X0)
| equalish(X0,e_3) ) ).
cnf(u612,negated_conjecture,
( ~ group_element(X3)
| ~ product(X0,X1,X2)
| equalish(X1,e_5)
| ~ product(e_4,X0,X1)
| product(e_4,X3,e_1)
| product(e_4,X3,e_2)
| product(e_4,X3,e_3)
| product(e_4,X3,e_4)
| ~ product(X3,e_5,X2) ) ).
cnf(u1786,negated_conjecture,
( ~ product(e_5,e_4,X0)
| ~ group_element(X0)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(u2284,negated_conjecture,
( ~ product(X0,X1,e_3)
| ~ product(e_4,X0,X1)
| equalish(X1,e_1) ) ).
cnf(u2316,negated_conjecture,
( ~ product(X0,X1,e_2)
| ~ product(e_1,X0,X1)
| equalish(X0,e_5) ) ).
cnf(u1613,negated_conjecture,
( ~ product(X0,e_2,e_4)
| equalish(X0,e_3) ) ).
cnf(u2832,negated_conjecture,
( ~ group_element(X1)
| equalish(X2,X0)
| ~ group_element(X0)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| product(X0,X0,e_4)
| ~ group_element(X2)
| product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| ~ product(X0,X1,X2) ) ).
cnf(u1937,negated_conjecture,
( ~ product(X0,e_5,e_4)
| equalish(X0,e_1) ) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3) ).
cnf(u2555,negated_conjecture,
( ~ product(X0,X1,e_2)
| ~ product(e_3,X0,X1)
| equalish(X0,e_4) ) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3) ).
cnf(u2174,negated_conjecture,
~ product(e_4,e_5,e_4) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1) ).
cnf(u1641,negated_conjecture,
( ~ product(e_3,e_4,X0)
| ~ product(e_5,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_3) ) ).
cnf(u2271,axiom,
( ~ group_element(X1)
| product(e_5,X0,e_3)
| ~ group_element(X0)
| equalish(X0,e_5)
| product(e_5,X0,e_1)
| equalish(X1,X0)
| product(e_5,X1,e_1)
| product(e_5,X1,e_2)
| product(e_5,X1,e_3)
| product(e_5,X0,e_2)
| equalish(X1,e_5) ) ).
cnf(u2588,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_3)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ product(e_2,X0,X1) ) ).
cnf(e_2_is_not_e_5,axiom,
~ equalish(e_2,e_5) ).
cnf(u321,negated_conjecture,
~ product(e_1,e_4,e_5) ).
cnf(u2167,negated_conjecture,
~ product(e_5,e_2,e_5) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3) ).
cnf(u2197,axiom,
( ~ group_element(X0)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| product(e_5,X0,e_1)
| equalish(e_5,X0) ) ).
cnf(u2379,negated_conjecture,
( ~ product(X0,X1,e_1)
| ~ product(e_3,X0,X1)
| equalish(X1,e_2) ) ).
cnf(u2918,negated_conjecture,
( ~ product(e_2,e_4,X0)
| ~ group_element(X0)
| product(e_4,X0,e_1)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4)
| equalish(X0,e_1) ) ).
cnf(u2786,axiom,
( ~ group_element(X0)
| product(X0,e_2,e_4)
| product(X0,e_2,e_3)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4) ) ).
cnf(u2689,negated_conjecture,
( ~ group_element(X1)
| equalish(X1,X0)
| ~ group_element(X0)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| product(X0,X0,e_4)
| ~ group_element(X2)
| product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| ~ product(X0,X1,X2) ) ).
cnf(u1780,axiom,
( ~ group_element(X0)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| equalish(e_5,X0) ) ).
cnf(u3046,negated_conjecture,
( ~ product(X0,e_2,e_4)
| product(X0,X0,e_1)
| product(X0,X0,e_3)
| equalish(e_2,X0)
| ~ group_element(X0) ) ).
cnf(u2501,negated_conjecture,
( ~ product(X0,e_5,e_4)
| ~ group_element(X0)
| 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(u2575,negated_conjecture,
( ~ product(X0,X1,e_5)
| ~ product(e_4,X0,X1)
| equalish(X1,e_2) ) ).
cnf(u613,negated_conjecture,
( ~ group_element(X3)
| ~ product(X0,X1,X2)
| equalish(X1,e_5)
| ~ product(e_5,X0,X1)
| product(e_5,X3,e_1)
| product(e_5,X3,e_2)
| product(e_5,X3,e_3)
| product(e_5,X3,e_4)
| ~ product(X3,e_5,X2) ) ).
cnf(u750,negated_conjecture,
( ~ group_element(X3)
| ~ product(X0,X1,X2)
| equalish(X0,X3)
| ~ product(e_3,X0,X1)
| product(e_3,X3,e_1)
| product(e_3,X3,e_2)
| product(e_3,X3,e_3)
| product(e_3,X3,e_4)
| ~ product(X3,e_5,X2) ) ).
cnf(u1631,negated_conjecture,
( ~ product(e_5,e_1,X0)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_5) ) ).
cnf(u749,negated_conjecture,
( ~ group_element(X3)
| ~ product(X0,X1,X2)
| equalish(X0,X3)
| ~ product(e_2,X0,X1)
| product(e_2,X3,e_1)
| product(e_2,X3,e_2)
| product(e_2,X3,e_3)
| product(e_2,X3,e_4)
| ~ product(X3,e_5,X2) ) ).
cnf(u2813,axiom,
( ~ group_element(X0)
| product(X0,e_4,e_4)
| product(X0,e_4,e_3)
| product(X0,e_4,e_2)
| product(X0,e_4,e_1)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP124-1.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.40 % Computer : n010.cluster.edu
% 0.13/0.40 % Model : x86_64 x86_64
% 0.13/0.40 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.40 % Memory : 8046.5625MB
% 0.13/0.40 % OS : Linux 6.8.0-71-generic
% 0.13/0.40 % CPULimit : 300
% 0.13/0.40 % WCLimit : 300
% 0.13/0.40 % DateTime : Sun Sep 27 09:20:32 UTC 2026
% 0.13/0.41 % CPUTime :
% 0.13/0.41 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.44 Running first-order theorem proving
% 0.13/0.44 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
% 9.90/2.05 % (685199)Input is clausal, will run a generic CNF schedule.
% 9.90/2.05 % (685252)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=577411875:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.90/2.05 % (685253)dis-21_1_sil=8000:lcm=predicate:random_seed=91925664: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)
% 9.90/2.05 % (685249)lrs+10_1_sil=8000:sp=occurrence:random_seed=281845143:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.90/2.05 % (685248)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4126993578:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.90/2.05 % (685247)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2023537416:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.90/2.05 % (685251)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2976491668:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.90/2.05 % (685246)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=2621034177:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.90/2.05 % (685252)Refutation not found, incomplete strategy
% 9.90/2.05 % (685252)------------------------------
% 9.90/2.05 % (685252)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.05 % (685252)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.05 % (685252)CaDiCaL version: 2.1.3
% 9.90/2.05 % (685252)Termination reason: Refutation not found, incomplete strategy
% 9.90/2.05 % (685252)Time elapsed: 0.026 s
% 9.90/2.05 % (685252)Peak memory usage: 89 MB
% 9.90/2.05 % (685252)Instructions burned: 78 (million)
% 9.90/2.05 % (685249)Instruction limit reached!
% 9.90/2.05 % (685249)------------------------------
% 9.90/2.05 % (685249)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.05 % (685249)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.05 % (685249)CaDiCaL version: 2.1.3
% 9.90/2.05 % (685249)Termination reason: Instruction limit
% 9.90/2.05 % (685249)Termination phase: Saturation
% 9.90/2.05 % (685249)Time elapsed: 0.056 s
% 9.90/2.05 % (685249)Peak memory usage: 88 MB
% 9.90/2.05 % (685249)Instructions burned: 108 (million)
% 9.90/2.05 % (685251)Instruction limit reached!
% 9.90/2.05 % (685251)------------------------------
% 9.90/2.05 % (685251)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.05 % (685251)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.05 % (685251)CaDiCaL version: 2.1.3
% 9.90/2.05 % (685251)Termination reason: Instruction limit
% 9.90/2.05 % (685251)Termination phase: Saturation
% 9.90/2.05 % (685251)Time elapsed: 0.058 s
% 9.90/2.05 % (685251)Peak memory usage: 88 MB
% 9.90/2.05 % (685251)Instructions burned: 115 (million)
% 9.90/2.05 % (685253)Instruction limit reached!
% 9.90/2.05 % (685253)------------------------------
% 9.90/2.05 % (685253)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.05 % (685253)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.90/2.05 % (685253)CaDiCaL version: 2.1.3
% 9.90/2.05 % (685253)Termination reason: Instruction limit
% 9.90/2.05 % (685253)Termination phase: Saturation
% 9.90/2.05 % (685253)Time elapsed: 0.082 s
% 9.90/2.05 % (685253)Peak memory usage: 89 MB
% 9.90/2.05 % (685253)Instructions burned: 118 (million)
% 9.90/2.05 % (685252)------------------------------
% 9.90/2.05 % (685252)------------------------------
% 9.90/2.05 % (685310)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2297087381: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)
% 9.90/2.05 % (685309)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=1085690394:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.90/2.05 % (685310)Refutation not found, incomplete strategy
% 9.90/2.05 % (685310)------------------------------
% 9.90/2.05 % (685310)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.90/2.05 % (685310)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.08 % (685310)CaDiCaL version: 2.1.3
% 16.91/3.08 % (685310)Termination reason: Refutation not found, incomplete strategy
% 16.91/3.08 % (685310)Time elapsed: 0.002 s
% 16.91/3.08 % (685310)Peak memory usage: 87 MB
% 16.91/3.08 % (685310)Instructions burned: 2 (million)
% 16.91/3.08 % (685316)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=3680276323:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 16.91/3.08 % (685309)Instruction limit reached!
% 16.91/3.08 % (685309)------------------------------
% 16.91/3.08 % (685309)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.08 % (685309)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.08 % (685309)CaDiCaL version: 2.1.3
% 16.91/3.08 % (685309)Termination reason: Instruction limit
% 16.91/3.08 % (685309)Termination phase: Saturation
% 16.91/3.08 % (685309)Time elapsed: 0.073 s
% 16.91/3.08 % (685309)Peak memory usage: 88 MB
% 16.91/3.08 % (685309)Instructions burned: 143 (million)
% 16.91/3.08 % (685322)lrs+10_64_to=lpo:sil=8000:random_seed=1884875140:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 16.91/3.08 % (685322)Instruction limit reached!
% 16.91/3.08 % (685322)------------------------------
% 16.91/3.08 % (685322)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.08 % (685322)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.08 % (685322)CaDiCaL version: 2.1.3
% 16.91/3.08 % (685322)Termination reason: Instruction limit
% 16.91/3.08 % (685322)Termination phase: Saturation
% 16.91/3.08 % (685322)Time elapsed: 0.040 s
% 16.91/3.08 % (685322)Peak memory usage: 88 MB
% 16.91/3.08 % (685322)Instructions burned: 126 (million)
% 16.91/3.08 % (685316)Instruction limit reached!
% 16.91/3.08 % (685316)------------------------------
% 16.91/3.08 % (685316)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.08 % (685316)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.08 % (685316)CaDiCaL version: 2.1.3
% 16.91/3.08 % (685316)Termination reason: Instruction limit
% 16.91/3.08 % (685316)Termination phase: Saturation
% 16.91/3.08 % (685316)Time elapsed: 0.111 s
% 16.91/3.08 % (685316)Peak memory usage: 88 MB
% 16.91/3.08 % (685316)Instructions burned: 221 (million)
% 16.91/3.08 % (685326)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=3699431409:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 16.91/3.08 % (685310)------------------------------
% 16.91/3.08 % (685310)------------------------------
% 16.91/3.08 % (685332)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=559803916:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 16.91/3.08 % (685332)Instruction limit reached!
% 16.91/3.08 % (685332)------------------------------
% 16.91/3.08 % (685332)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.08 % (685332)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.08 % (685332)CaDiCaL version: 2.1.3
% 16.91/3.08 % (685332)Termination reason: Instruction limit
% 16.91/3.08 % (685332)Termination phase: Saturation
% 16.91/3.08 % (685332)Time elapsed: 0.043 s
% 16.91/3.08 % (685332)Peak memory usage: 88 MB
% 16.91/3.08 % (685332)Instructions burned: 159 (million)
% 16.91/3.08 % (685326)Instruction limit reached!
% 16.91/3.08 % (685326)------------------------------
% 16.91/3.08 % (685326)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.08 % (685326)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.08 % (685326)CaDiCaL version: 2.1.3
% 16.91/3.08 % (685326)Termination reason: Instruction limit
% 16.91/3.08 % (685326)Termination phase: Saturation
% 16.91/3.08 % (685326)Time elapsed: 0.115 s
% 16.91/3.08 % (685326)Peak memory usage: 88 MB
% 16.91/3.08 % (685326)Instructions burned: 194 (million)
% 16.91/3.08 % (685247)Refutation not found, incomplete strategy
% 16.91/3.08 % (685247)------------------------------
% 16.91/3.08 % (685247)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 16.91/3.08 % (685247)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 16.91/3.08 % (685247)CaDiCaL version: 2.1.3
% 16.91/3.08 % (685247)Termination reason: Refutation not found, incomplete strategy
% 16.91/3.08 % (685247)Time elapsed: 0.567 s
% 16.91/3.08 % (685247)Peak memory usage: 128 MB
% 16.91/3.08 % (685247)Instructions burned: 908 (million)
% 16.91/3.08 % (685337)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=3298698827:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 16.91/3.08 % (685345)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=2487190159:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 21.86/3.93 % (685345)Refutation not found, incomplete strategy
% 21.86/3.93 % (685345)------------------------------
% 21.86/3.93 % (685345)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.86/3.93 % (685345)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/3.93 % (685345)CaDiCaL version: 2.1.3
% 21.86/3.93 % (685345)Termination reason: Refutation not found, incomplete strategy
% 21.86/3.93 % (685345)Time elapsed: 0.006 s
% 21.86/3.93 % (685345)Peak memory usage: 88 MB
% 21.86/3.93 % (685345)Instructions burned: 9 (million)
% 21.86/3.93 % (685346)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=2214560288:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 21.86/3.93 % (685346)Instruction limit reached!
% 21.86/3.93 % (685346)------------------------------
% 21.86/3.93 % (685346)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.86/3.93 % (685346)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/3.93 % (685346)CaDiCaL version: 2.1.3
% 21.86/3.93 % (685346)Termination reason: Instruction limit
% 21.86/3.93 % (685346)Termination phase: Saturation
% 21.86/3.93 % (685346)Time elapsed: 0.056 s
% 21.86/3.93 % (685346)Peak memory usage: 88 MB
% 21.86/3.93 % (685346)Instructions burned: 108 (million)
% 21.86/3.93 % (685347)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1338849543:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 21.86/3.93 % (685247)------------------------------
% 21.86/3.93 % (685247)------------------------------
% 21.86/3.93 % (685347)Instruction limit reached!
% 21.86/3.93 % (685347)------------------------------
% 21.86/3.93 % (685347)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.86/3.93 % (685347)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/3.93 % (685347)CaDiCaL version: 2.1.3
% 21.86/3.93 % (685347)Termination reason: Instruction limit
% 21.86/3.93 % (685347)Termination phase: Saturation
% 21.86/3.93 % (685347)Time elapsed: 0.120 s
% 21.86/3.93 % (685347)Peak memory usage: 88 MB
% 21.86/3.93 % (685347)Instructions burned: 242 (million)
% 21.86/3.93 % (685353)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=2412012731:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 21.86/3.93 % (685345)------------------------------
% 21.86/3.93 % (685345)------------------------------
% 21.86/3.93 % (685352)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=1479553822:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 21.86/3.93 % (685353)Instruction limit reached!
% 21.86/3.93 % (685353)------------------------------
% 21.86/3.93 % (685353)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.86/3.93 % (685353)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/3.93 % (685353)CaDiCaL version: 2.1.3
% 21.86/3.93 % (685353)Termination reason: Instruction limit
% 21.86/3.93 % (685353)Termination phase: Saturation
% 21.86/3.93 % (685353)Time elapsed: 0.043 s
% 21.86/3.93 % (685353)Peak memory usage: 88 MB
% 21.86/3.93 % (685353)Instructions burned: 135 (million)
% 21.86/3.93 % (685354)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=4254227922:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 21.86/3.93 % (685359)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=196705853:i=264:kws=precedence:fsr=off_2989 on theBenchmark for (2989ds/264Mi)
% 21.86/3.93 % (685356)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3769979512:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 21.86/3.93 % (685359)Instruction limit reached!
% 21.86/3.93 % (685359)------------------------------
% 21.86/3.93 % (685359)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 21.86/3.93 % (685359)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 21.86/3.93 % (685359)CaDiCaL version: 2.1.3
% 21.86/3.93 % (685359)Termination reason: Instruction limit
% 21.86/3.93 % (685359)Termination phase: Saturation
% 21.86/3.93 % (685359)Time elapsed: 0.125 s
% 21.86/3.93 % (685359)Peak memory usage: 89 MB
% 34.53/5.63 % (685359)Instructions burned: 267 (million)
% 34.53/5.63 % (685356)Instruction limit reached!
% 34.53/5.63 % (685356)------------------------------
% 34.53/5.63 % (685356)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.53/5.63 % (685356)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.63 % (685356)CaDiCaL version: 2.1.3
% 34.53/5.63 % (685356)Termination reason: Instruction limit
% 34.53/5.63 % (685356)Termination phase: Saturation
% 34.53/5.63 % (685356)Time elapsed: 0.166 s
% 34.53/5.63 % (685356)Peak memory usage: 88 MB
% 34.53/5.63 % (685356)Instructions burned: 191 (million)
% 34.53/5.63 % (685377)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2536703340:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 34.53/5.63 % (685354)Instruction limit reached!
% 34.53/5.63 % (685354)------------------------------
% 34.53/5.63 % (685354)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.53/5.63 % (685354)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.63 % (685354)CaDiCaL version: 2.1.3
% 34.53/5.63 % (685354)Termination reason: Instruction limit
% 34.53/5.63 % (685354)Termination phase: Saturation
% 34.53/5.63 % (685354)Time elapsed: 0.411 s
% 34.53/5.63 % (685354)Peak memory usage: 90 MB
% 34.53/5.63 % (685354)Instructions burned: 499 (million)
% 34.53/5.63 % (685378)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=12564200:i=3256:kws=precedence:bd=preordered:av=off_2985 on theBenchmark for (2985ds/3256Mi)
% 34.53/5.63 % (685377)Instruction limit reached!
% 34.53/5.63 % (685377)------------------------------
% 34.53/5.63 % (685377)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.53/5.63 % (685377)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.63 % (685377)CaDiCaL version: 2.1.3
% 34.53/5.63 % (685377)Termination reason: Instruction limit
% 34.53/5.63 % (685377)Termination phase: Saturation
% 34.53/5.63 % (685377)Time elapsed: 0.114 s
% 34.53/5.63 % (685377)Peak memory usage: 88 MB
% 34.53/5.63 % (685377)Instructions burned: 157 (million)
% 34.53/5.63 % (685381)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3216379744:i=537:av=off:ss=included_2983 on theBenchmark for (2983ds/537Mi)
% 34.53/5.63 % (685383)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2658935004:i=180:bd=preordered:av=off_2982 on theBenchmark for (2982ds/180Mi)
% 34.53/5.63 % (685383)Instruction limit reached!
% 34.53/5.63 % (685383)------------------------------
% 34.53/5.63 % (685383)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.53/5.63 % (685383)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.63 % (685383)CaDiCaL version: 2.1.3
% 34.53/5.63 % (685383)Termination reason: Instruction limit
% 34.53/5.63 % (685383)Termination phase: Saturation
% 34.53/5.63 % (685383)Time elapsed: 0.093 s
% 34.53/5.63 % (685383)Peak memory usage: 87 MB
% 34.53/5.63 % (685383)Instructions burned: 181 (million)
% 34.53/5.63 % (685381)Instruction limit reached!
% 34.53/5.63 % (685381)------------------------------
% 34.53/5.63 % (685381)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.53/5.63 % (685381)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.63 % (685381)CaDiCaL version: 2.1.3
% 34.53/5.63 % (685381)Termination reason: Instruction limit
% 34.53/5.63 % (685381)Termination phase: Saturation
% 34.53/5.63 % (685381)Time elapsed: 0.256 s
% 34.53/5.63 % (685381)Peak memory usage: 88 MB
% 34.53/5.63 % (685381)Instructions burned: 537 (million)
% 34.53/5.63 % (685387)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=987169802:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2980 on theBenchmark for (2980ds/10307Mi)
% 34.53/5.63 % (685390)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=118503243:i=412:gtgl=4:gtg=exists_all_2979 on theBenchmark for (2979ds/412Mi)
% 34.53/5.63 % (685390)Instruction limit reached!
% 34.53/5.63 % (685390)------------------------------
% 34.53/5.63 % (685390)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 34.53/5.63 % (685390)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 34.53/5.63 % (685390)CaDiCaL version: 2.1.3
% 45.91/7.14 % (685390)Termination reason: Instruction limit
% 45.91/7.14 % (685390)Termination phase: Saturation
% 45.91/7.14 % (685390)Time elapsed: 0.193 s
% 45.91/7.14 % (685390)Peak memory usage: 90 MB
% 45.91/7.14 % (685390)Instructions burned: 413 (million)
% 45.91/7.14 % (685430)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=1278946126:s2pl=no:i=8478:s2at=4:nm=6_2975 on theBenchmark for (2975ds/8478Mi)
% 45.91/7.14 % (685378)Instruction limit reached!
% 45.91/7.14 % (685378)------------------------------
% 45.91/7.14 % (685378)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.91/7.14 % (685378)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.91/7.14 % (685378)CaDiCaL version: 2.1.3
% 45.91/7.14 % (685378)Termination reason: Instruction limit
% 45.91/7.14 % (685378)Termination phase: Saturation
% 45.91/7.14 % (685378)Time elapsed: 1.079 s
% 45.91/7.14 % (685378)Peak memory usage: 136 MB
% 45.91/7.14 % (685378)Instructions burned: 3259 (million)
% 45.91/7.14 % (685432)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=1685824843:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2972 on theBenchmark for (2972ds/303Mi)
% 45.91/7.14 % (685432)Instruction limit reached!
% 45.91/7.14 % (685432)------------------------------
% 45.91/7.14 % (685432)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.91/7.14 % (685432)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.91/7.14 % (685432)CaDiCaL version: 2.1.3
% 45.91/7.14 % (685432)Termination reason: Instruction limit
% 45.91/7.14 % (685432)Termination phase: Saturation
% 45.91/7.14 % (685432)Time elapsed: 0.089 s
% 45.91/7.14 % (685432)Peak memory usage: 90 MB
% 45.91/7.14 % (685432)Instructions burned: 304 (million)
% 45.91/7.14 % (685337)Instruction limit reached!
% 45.91/7.14 % (685337)------------------------------
% 45.91/7.14 % (685337)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.91/7.14 % (685337)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.91/7.14 % (685337)CaDiCaL version: 2.1.3
% 45.91/7.14 % (685337)Termination reason: Instruction limit
% 45.91/7.14 % (685337)Termination phase: Saturation
% 45.91/7.14 % (685337)Time elapsed: 2.341 s
% 45.91/7.14 % (685337)Peak memory usage: 138 MB
% 45.91/7.14 % (685337)Instructions burned: 3396 (million)
% 45.91/7.14 % (685434)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=2477641023:st=4:i=720:sd=3:fsr=off:ss=axioms_2970 on theBenchmark for (2970ds/720Mi)
% 45.91/7.14 % (685434)Refutation not found, incomplete strategy
% 45.91/7.14 % (685434)------------------------------
% 45.91/7.14 % (685434)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.91/7.14 % (685434)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.91/7.14 % (685434)CaDiCaL version: 2.1.3
% 45.91/7.14 % (685434)Termination reason: Refutation not found, incomplete strategy
% 45.91/7.14 % (685434)Time elapsed: 0.001 s
% 45.91/7.14 % (685434)Peak memory usage: 88 MB
% 45.91/7.14 % (685434)Instructions burned: 1 (million)
% 45.91/7.14 % (685430)Refutation not found, incomplete strategy
% 45.91/7.14 % (685430)------------------------------
% 45.91/7.14 % (685430)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.91/7.14 % (685430)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.91/7.14 % (685430)CaDiCaL version: 2.1.3
% 45.91/7.14 % (685430)Termination reason: Refutation not found, incomplete strategy
% 45.91/7.14 % (685430)Time elapsed: 0.614 s
% 45.91/7.14 % (685430)Peak memory usage: 128 MB
% 45.91/7.14 % (685430)Instructions burned: 925 (million)
% 45.91/7.14 % (685434)------------------------------
% 45.91/7.14 % (685434)------------------------------
% 45.91/7.14 % (685435)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=2111870245:i=598:bs=on:bd=preordered:av=off:ss=axioms_2969 on theBenchmark for (2969ds/598Mi)
% 45.91/7.14 % (685435)Refutation not found, incomplete strategy
% 45.91/7.14 % (685435)------------------------------
% 45.91/7.14 % (685435)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.91/7.14 % (685435)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.91/7.14 % (685435)CaDiCaL version: 2.1.3
% 45.91/7.14 % (685435)Termination reason: Refutation not found, incomplete strategy
% 45.91/7.14 % (685435)Time elapsed: 0.001 s
% 47.55/7.45 % (685435)Peak memory usage: 86 MB
% 47.55/7.45 % (685437)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=3700507516:i=2989:sd=3:ss=axioms:sgt=60_2967 on theBenchmark for (2967ds/2989Mi)
% 47.55/7.45 % (685430)------------------------------
% 47.55/7.45 % (685430)------------------------------
% 47.55/7.45 % (685435)------------------------------
% 47.55/7.45 % (685435)------------------------------
% 47.55/7.45 % (685440)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=194084090:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2965 on theBenchmark for (2965ds/1997Mi)
% 47.55/7.45 % (685441)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=1274055239:i=2088:bd=preordered:av=off_2964 on theBenchmark for (2964ds/2088Mi)
% 47.55/7.45 % (685352)Instruction limit reached!
% 47.55/7.45 % (685352)------------------------------
% 47.55/7.45 % (685352)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.55/7.45 % (685352)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.55/7.45 % (685352)CaDiCaL version: 2.1.3
% 47.55/7.45 % (685352)Termination reason: Instruction limit
% 47.55/7.45 % (685352)Termination phase: Saturation
% 47.55/7.45 % (685352)Time elapsed: 2.896 s
% 47.55/7.45 % (685352)Peak memory usage: 137 MB
% 47.55/7.45 % (685352)Instructions burned: 5209 (million)
% 47.55/7.45 % (685444)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=2530567070:i=1098:nicw=on_2960 on theBenchmark for (2960ds/1098Mi)
% 47.55/7.45 % (685437)Instruction limit reached!
% 47.55/7.45 % (685437)------------------------------
% 47.55/7.45 % (685437)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.55/7.45 % (685437)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.55/7.45 % (685437)CaDiCaL version: 2.1.3
% 47.55/7.45 % (685437)Termination reason: Instruction limit
% 47.55/7.45 % (685437)Termination phase: Saturation
% 47.55/7.45 % (685437)Time elapsed: 0.997 s
% 47.55/7.45 % (685437)Peak memory usage: 138 MB
% 47.55/7.45 % (685437)Instructions burned: 2989 (million)
% 47.55/7.45 % (685446)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=4274041550:i=433:bd=preordered_2956 on theBenchmark for (2956ds/433Mi)
% 47.55/7.45 % (685446)Instruction limit reached!
% 47.55/7.45 % (685446)------------------------------
% 47.55/7.45 % (685446)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.55/7.45 % (685446)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.55/7.45 % (685446)CaDiCaL version: 2.1.3
% 47.55/7.45 % (685446)Termination reason: Instruction limit
% 47.55/7.45 % (685446)Termination phase: Saturation
% 47.55/7.45 % (685446)Time elapsed: 0.116 s
% 47.55/7.45 % (685446)Peak memory usage: 89 MB
% 47.55/7.45 % (685446)Instructions burned: 435 (million)
% 47.55/7.45 % (685444)Instruction limit reached!
% 47.55/7.45 % (685444)------------------------------
% 47.55/7.45 % (685444)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.55/7.45 % (685444)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.55/7.45 % (685444)CaDiCaL version: 2.1.3
% 47.55/7.45 % (685444)Termination reason: Instruction limit
% 47.55/7.45 % (685444)Termination phase: Saturation
% 47.55/7.45 % (685444)Time elapsed: 0.571 s
% 47.55/7.45 % (685444)Peak memory usage: 92 MB
% 47.55/7.45 % (685444)Instructions burned: 1100 (million)
% 47.55/7.45 % (685448)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=1883061866:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2953 on theBenchmark for (2953ds/2942Mi)
% 47.55/7.45 % (685449)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=3464528075:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2953 on theBenchmark for (2953ds/6922Mi)
% 47.55/7.45 % (685440)Instruction limit reached!
% 47.55/7.45 % (685440)------------------------------
% 47.55/7.45 % (685440)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.55/7.45 % (685440)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.55/7.45 % (685440)CaDiCaL version: 2.1.3
% 47.55/7.45 % (685440)Termination reason: Instruction limit
% 47.55/7.45 % (685440)Termination phase: Saturation
% 47.55/7.45 % (685440)Time elapsed: 1.343 s
% 47.55/7.45 % (685440)Peak memory usage: 133 MB
% 47.55/7.45 % (685440)Instructions burned: 1997 (million)
% 47.55/7.45 % (685441)Instruction limit reached!
% 47.55/7.45 % (685441)------------------------------
% 47.55/7.45 % (685441)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.55/7.45 % (685441)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.55/7.45 % (685441)CaDiCaL version: 2.1.3
% 47.55/7.45 % (685441)Termination reason: Instruction limit
% 47.55/7.45 % (685441)Termination phase: Saturation
% 47.55/7.45 % (685441)Time elapsed: 1.307 s
% 47.55/7.45 % (685441)Peak memory usage: 133 MB
% 47.55/7.45 % (685441)Instructions burned: 2089 (million)
% 47.55/7.45 % (685452)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=2094021498:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2950 on theBenchmark for (2950ds/596Mi)
% 47.55/7.45 % (685453)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=2211049046:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2950 on theBenchmark for (2950ds/4123Mi)
% 47.55/7.45 % (685452)Refutation not found, incomplete strategy
% 47.55/7.45 % (685452)------------------------------
% 47.55/7.45 % (685452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.55/7.45 % (685452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.55/7.45 % (685452)CaDiCaL version: 2.1.3
% 47.55/7.45 % (685452)Termination reason: Refutation not found, incomplete strategy
% 47.55/7.45 % (685452)Time elapsed: 0.006 s
% 47.55/7.45 % (685452)Peak memory usage: 87 MB
% 47.55/7.45 % (685452)Instructions burned: 10 (million)
% 47.55/7.45 % (685452)------------------------------
% 47.55/7.45 % (685452)------------------------------
% 47.55/7.45 % (685449)Refutation not found, incomplete strategy
% 47.55/7.45 % (685449)------------------------------
% 47.55/7.45 % (685449)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.55/7.45 % (685449)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.55/7.45 % (685449)CaDiCaL version: 2.1.3
% 47.55/7.45 % (685449)Termination reason: Refutation not found, incomplete strategy
% 47.55/7.45 % (685449)Time elapsed: 0.634 s
% 47.55/7.45 % (685449)Peak memory usage: 128 MB
% 47.55/7.45 % (685449)Instructions burned: 913 (million)
% 47.55/7.45 % (685456)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1439556725:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2946 on theBenchmark for (2946ds/16411Mi)
% 47.55/7.45 % (685449)------------------------------
% 47.55/7.45 % (685449)------------------------------
% 47.55/7.45 % (685448)Instruction limit reached!
% 47.55/7.45 % (685448)------------------------------
% 47.55/7.45 % (685448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.55/7.45 % (685448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.55/7.45 % (685448)CaDiCaL version: 2.1.3
% 47.55/7.45 % (685448)Termination reason: Instruction limit
% 47.55/7.45 % (685448)Termination phase: Saturation
% 47.55/7.45 % (685448)Time elapsed: 1.008 s
% 47.55/7.45 % (685448)Peak memory usage: 136 MB
% 47.55/7.45 % (685448)Instructions burned: 2942 (million)
% 47.55/7.45 % (685458)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=2200281073:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2942 on theBenchmark for (2942ds/1670Mi)
% 47.55/7.45 % (685459)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=322624399:st=3:cond=fast:i=1722:sd=2:ss=included:fsd=on_2942 on theBenchmark for (2942ds/1722Mi)
% 47.55/7.45 % (685459)Refutation not found, incomplete strategy
% 47.55/7.45 % (685459)------------------------------
% 47.55/7.45 % (685459)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.55/7.45 % (685459)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.55/7.45 % (685459)CaDiCaL version: 2.1.3
% 47.55/7.45 % (685459)Termination reason: Refutation not found, incomplete strategy
% 47.55/7.45 % (685459)Time elapsed: 0.523 s
% 47.55/7.45 % (685459)Peak memory usage: 132 MB
% 47.55/7.45 % (685459)Instructions burned: 1397 (million)
% 47.55/7.45 % (685456)First to succeed.
% 47.55/7.45 % (685456)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-685199"
% 47.55/7.45 % (685459)------------------------------
% 47.55/7.45 % (685459)------------------------------
% 47.55/7.45 % (685462)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=3642272632:cts=off:cond=on:i=9530:bs=on:fsd=on_2934 on theBenchmark for (2934ds/9530Mi)
% 47.55/7.45 % SZS status Satisfiable for theBenchmark
% 47.55/7.45 % SZS output start Saturation.
% See solution above
% 48.25/7.65 % SZS output start Definitions and Model Updates.
% 48.25/7.65 % SZS output end Definitions and Model Updates.
% 48.25/7.65 % (685456)------------------------------
% 48.25/7.65 % (685456)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 48.25/7.65 % (685456)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 48.25/7.65 % (685456)CaDiCaL version: 2.1.3
% 48.25/7.65 % (685456)Termination reason: Satisfiable
% 48.25/7.65 % (685456)Time elapsed: 0.938 s
% 48.25/7.65 % (685456)Peak memory usage: 131 MB
% 48.25/7.65 % (685456)Instructions burned: 1339 (million)
% 48.25/7.65 % (685456)------------------------------
% 48.25/7.65 % (685456)------------------------------
% 48.25/7.65 % (685199)Success in time 6.786 s
% 48.25/7.65 % Vampire exiting
%------------------------------------------------------------------------------