%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP129-4.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n006.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 53.07s 8.37s
% Output : Saturation 53.75s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u52,axiom,
~ product(e_5,e_5,e_4) ).
cnf(u56,axiom,
~ product(e_5,e_4,e_4) ).
cnf(u60,axiom,
~ product(e_5,e_3,e_4) ).
cnf(u65,axiom,
product(e_5,e_2,e_4) ).
cnf(u68,axiom,
~ product(e_5,e_1,e_4) ).
cnf(u73,axiom,
~ product(e_4,e_5,e_4) ).
cnf(u78,axiom,
product(e_4,e_4,e_4) ).
cnf(u81,axiom,
~ product(e_4,e_3,e_4) ).
cnf(u85,axiom,
~ product(e_4,e_2,e_4) ).
cnf(u89,axiom,
~ product(e_4,e_1,e_4) ).
cnf(u95,axiom,
product(e_3,e_5,e_4) ).
cnf(u98,axiom,
~ product(e_3,e_4,e_4) ).
cnf(u102,axiom,
~ product(e_3,e_3,e_4) ).
cnf(u106,axiom,
~ product(e_3,e_2,e_4) ).
cnf(u110,axiom,
~ product(e_3,e_1,e_4) ).
cnf(u115,axiom,
~ product(e_2,e_5,e_4) ).
cnf(u119,axiom,
~ product(e_2,e_4,e_4) ).
cnf(u123,axiom,
~ product(e_2,e_3,e_4) ).
cnf(u127,axiom,
~ product(e_2,e_2,e_4) ).
cnf(u132,axiom,
product(e_2,e_1,e_4) ).
cnf(u136,axiom,
~ product(e_1,e_5,e_4) ).
cnf(u140,axiom,
~ product(e_1,e_4,e_4) ).
cnf(u145,axiom,
product(e_1,e_3,e_4) ).
cnf(u148,axiom,
~ product(e_1,e_2,e_4) ).
cnf(u152,axiom,
~ product(e_1,e_1,e_4) ).
cnf(u192,axiom,
~ product(e_4,e_4,e_5) ).
cnf(u196,axiom,
~ product(e_4,e_4,e_3) ).
cnf(u200,axiom,
~ product(e_4,e_4,e_2) ).
cnf(u204,axiom,
~ product(e_4,e_4,e_1) ).
cnf(u210,axiom,
product(e_3,e_4,e_5) ).
cnf(u213,axiom,
~ product(e_3,e_4,e_3) ).
cnf(u217,axiom,
~ product(e_3,e_4,e_2) ).
cnf(u221,axiom,
~ product(e_3,e_4,e_1) ).
cnf(u226,axiom,
~ product(e_2,e_4,e_5) ).
cnf(u230,axiom,
~ product(e_2,e_4,e_3) ).
cnf(u234,axiom,
~ product(e_2,e_4,e_2) ).
cnf(u239,axiom,
product(e_2,e_4,e_1) ).
cnf(u243,axiom,
~ product(e_1,e_4,e_5) ).
cnf(u248,axiom,
product(e_1,e_4,e_3) ).
cnf(u251,axiom,
~ product(e_1,e_4,e_2) ).
cnf(u255,axiom,
~ product(e_1,e_4,e_1) ).
cnf(u289,axiom,
~ product(e_5,e_5,e_3) ).
cnf(u293,axiom,
~ product(e_5,e_4,e_3) ).
cnf(u297,axiom,
~ product(e_5,e_3,e_3) ).
cnf(u301,axiom,
~ product(e_5,e_2,e_3) ).
cnf(u306,axiom,
product(e_5,e_1,e_3) ).
cnf(u311,axiom,
~ product(e_3,e_5,e_3) ).
cnf(u316,axiom,
product(e_3,e_3,e_3) ).
cnf(u319,axiom,
~ product(e_3,e_2,e_3) ).
cnf(u323,axiom,
~ product(e_3,e_1,e_3) ).
cnf(u329,axiom,
product(e_2,e_5,e_3) ).
cnf(u332,axiom,
~ product(e_2,e_3,e_3) ).
cnf(u336,axiom,
~ product(e_2,e_2,e_3) ).
cnf(u340,axiom,
~ product(e_2,e_1,e_3) ).
cnf(u345,axiom,
~ product(e_1,e_5,e_3) ).
cnf(u349,axiom,
~ product(e_1,e_3,e_3) ).
cnf(u353,axiom,
~ product(e_1,e_2,e_3) ).
cnf(u357,axiom,
~ product(e_1,e_1,e_3) ).
cnf(u401,axiom,
~ product(e_5,e_3,e_5) ).
cnf(u405,axiom,
~ product(e_5,e_3,e_2) ).
cnf(u410,axiom,
product(e_5,e_3,e_1) ).
cnf(u414,axiom,
~ product(e_4,e_3,e_5) ).
cnf(u418,axiom,
~ product(e_4,e_3,e_3) ).
cnf(u423,axiom,
product(e_4,e_3,e_2) ).
cnf(u426,axiom,
~ product(e_4,e_3,e_1) ).
cnf(u431,axiom,
~ product(e_3,e_3,e_5) ).
cnf(u435,axiom,
~ product(e_3,e_3,e_2) ).
cnf(u439,axiom,
~ product(e_3,e_3,e_1) ).
cnf(u445,axiom,
product(e_2,e_3,e_5) ).
cnf(u448,axiom,
~ product(e_2,e_3,e_2) ).
cnf(u452,axiom,
~ product(e_2,e_3,e_1) ).
cnf(u457,axiom,
~ product(e_1,e_3,e_5) ).
cnf(u461,axiom,
~ product(e_1,e_3,e_2) ).
cnf(u465,axiom,
~ product(e_1,e_3,e_1) ).
cnf(u505,axiom,
~ product(e_5,e_5,e_1) ).
cnf(u509,axiom,
~ product(e_5,e_4,e_1) ).
cnf(u513,axiom,
~ product(e_5,e_2,e_1) ).
cnf(u517,axiom,
~ product(e_5,e_1,e_1) ).
cnf(u524,axiom,
~ product(e_2,e_5,e_1) ).
cnf(u528,axiom,
~ product(e_2,e_2,e_1) ).
cnf(u532,axiom,
~ product(e_2,e_1,e_1) ).
cnf(u537,axiom,
~ product(e_1,e_5,e_1) ).
cnf(u541,axiom,
~ product(e_1,e_2,e_1) ).
cnf(u546,axiom,
product(e_1,e_1,e_1) ).
cnf(u552,negated_conjecture,
product(e_3,e_2,e_1) ).
cnf(u555,negated_conjecture,
~ product(e_3,e_1,e_1) ).
cnf(u598,axiom,
~ product(e_5,e_1,e_5) ).
cnf(u602,axiom,
~ product(e_5,e_1,e_2) ).
cnf(u608,axiom,
product(e_4,e_1,e_5) ).
cnf(u611,axiom,
~ product(e_4,e_1,e_3) ).
cnf(u615,axiom,
~ product(e_4,e_1,e_2) ).
cnf(u619,axiom,
~ product(e_4,e_1,e_1) ).
cnf(u624,axiom,
~ product(e_3,e_1,e_5) ).
cnf(u629,axiom,
product(e_3,e_1,e_2) ).
cnf(u633,axiom,
~ product(e_2,e_1,e_5) ).
cnf(u637,axiom,
~ product(e_2,e_1,e_2) ).
cnf(u642,axiom,
~ product(e_1,e_1,e_5) ).
cnf(u646,axiom,
~ product(e_1,e_1,e_2) ).
cnf(u686,axiom,
~ product(e_5,e_5,e_2) ).
cnf(u691,axiom,
product(e_5,e_4,e_2) ).
cnf(u694,axiom,
~ product(e_5,e_2,e_2) ).
cnf(u701,axiom,
~ product(e_2,e_5,e_2) ).
cnf(u706,axiom,
product(e_2,e_2,e_2) ).
cnf(u711,axiom,
product(e_1,e_5,e_2) ).
cnf(u714,axiom,
~ product(e_1,e_2,e_2) ).
cnf(u720,negated_conjecture,
~ product(e_3,e_2,e_2) ).
cnf(u763,axiom,
~ product(e_5,e_2,e_5) ).
cnf(u768,axiom,
~ product(e_4,e_2,e_5) ).
cnf(u773,axiom,
product(e_4,e_2,e_3) ).
cnf(u776,axiom,
~ product(e_4,e_2,e_2) ).
cnf(u780,axiom,
~ product(e_4,e_2,e_1) ).
cnf(u785,axiom,
~ product(e_3,e_2,e_5) ).
cnf(u790,axiom,
~ product(e_2,e_2,e_5) ).
cnf(u796,axiom,
product(e_1,e_2,e_5) ).
cnf(u836,axiom,
product(e_5,e_5,e_5) ).
cnf(u839,axiom,
~ product(e_5,e_4,e_5) ).
cnf(u846,axiom,
~ product(e_2,e_5,e_5) ).
cnf(u851,axiom,
~ product(e_1,e_5,e_5) ).
cnf(u909,axiom,
~ product(e_3,e_5,e_5) ).
cnf(u1040,negated_conjecture,
~ product(e_4,e_5,e_3) ).
cnf(u1251,axiom,
~ product(e_3,e_5,e_2) ).
cnf(u1348,axiom,
~ product(e_4,e_5,e_5) ).
cnf(u1675,axiom,
~ product(e_4,e_5,e_2) ).
cnf(u1988,axiom,
~ product(e_3,e_5,e_1) ).
cnf(u6052,negated_conjecture,
product(e_4,e_5,e_1) ).
cnf(u12702,axiom,
( ~ product(e_5,X0,e_1)
| equalish(X0,e_3) ) ).
cnf(e_3_is_not_e_5,axiom,
~ equalish(e_3,e_5) ).
cnf(product_right_cancellation,axiom,
( ~ product(X0,X3,X2)
| ~ product(X0,X1,X2)
| equalish(X1,X3) ) ).
cnf(u12155,negated_conjecture,
( ~ product(X0,e_2,e_3)
| product(e_3,X0,e_5) ) ).
cnf(u12728,axiom,
( ~ product(e_1,e_5,X0)
| equalish(X0,e_2) ) ).
cnf(u12713,negated_conjecture,
( ~ product(X0,e_5,e_1)
| product(e_1,X0,e_3) ) ).
cnf(u12154,negated_conjecture,
( ~ product(e_5,e_2,X0)
| product(e_3,e_5,X0) ) ).
cnf(u12710,axiom,
( ~ product(e_5,e_1,X0)
| equalish(X0,e_3) ) ).
cnf(u12664,negated_conjecture,
( ~ product(e_2,X0,e_2)
| product(X0,e_2,e_2) ) ).
cnf(u38,axiom,
( ~ group_element(X0)
| product(X0,e_1,e_4)
| product(X0,e_2,e_4)
| product(X0,e_3,e_4)
| product(X0,e_4,e_4)
| product(X0,e_5,e_4) ) ).
cnf(u12291,negated_conjecture,
( ~ product(e_2,X0,e_5)
| product(X0,e_1,e_2) ) ).
cnf(u12725,negated_conjecture,
( ~ product(X0,e_1,e_1)
| product(e_1,X0,e_1) ) ).
cnf(u12446,negated_conjecture,
( ~ product(X0,e_4,e_4)
| product(e_4,X0,e_4) ) ).
cnf(u12096,axiom,
( ~ product(X0,e_2,e_3)
| equalish(X0,e_4) ) ).
cnf(u12733,negated_conjecture,
( ~ product(e_4,X0,e_1)
| equalish(X0,e_5) ) ).
cnf(u12652,negated_conjecture,
( ~ product(e_4,X0,e_1)
| product(X0,e_2,e_4) ) ).
cnf(u12714,axiom,
( ~ product(X0,e_4,e_3)
| equalish(X0,e_1) ) ).
cnf(u12676,axiom,
( ~ product(e_5,e_4,X0)
| equalish(X0,e_2) ) ).
cnf(u12153,negated_conjecture,
( ~ product(e_3,X0,e_5)
| product(X0,e_2,e_3) ) ).
cnf(u12659,negated_conjecture,
( ~ product(e_2,e_4,X0)
| product(e_3,e_2,X0) ) ).
cnf(u12667,axiom,
( ~ product(X0,e_2,e_4)
| equalish(X0,e_5) ) ).
cnf(u12656,axiom,
( ~ product(e_4,X0,e_2)
| equalish(X0,e_3) ) ).
cnf(u12151,axiom,
( ~ product(e_2,X0,e_5)
| equalish(X0,e_3) ) ).
cnf(element_3,axiom,
group_element(e_3) ).
cnf(u12556,negated_conjecture,
( ~ product(e_2,X0,e_1)
| product(X0,e_3,e_2) ) ).
cnf(u12660,negated_conjecture,
( ~ product(X0,e_4,e_3)
| product(e_3,X0,e_2) ) ).
cnf(element_1,axiom,
group_element(e_1) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4) ).
cnf(u12266,axiom,
( ~ product(e_5,e_5,X0)
| equalish(X0,e_5) ) ).
cnf(u12668,axiom,
( ~ product(e_5,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(u896,axiom,
( ~ group_element(X0)
| product(e_1,X0,e_3)
| product(e_2,X0,e_3)
| product(e_3,X0,e_3)
| product(e_4,X0,e_3)
| product(e_5,X0,e_3) ) ).
cnf(u12650,axiom,
( ~ product(e_2,X0,e_1)
| equalish(X0,e_4) ) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1) ).
cnf(u12726,axiom,
( ~ product(X0,e_5,e_2)
| equalish(X0,e_1) ) ).
cnf(u35,axiom,
( ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_2,e_1)
| product(X0,e_3,e_1)
| product(X0,e_4,e_1)
| product(X0,e_5,e_1) ) ).
cnf(u12455,axiom,
( ~ product(X0,e_1,e_4)
| equalish(X0,e_2) ) ).
cnf(u12443,axiom,
( ~ product(e_4,e_4,X0)
| equalish(X0,e_4) ) ).
cnf(u12675,axiom,
( ~ product(e_5,X0,e_2)
| equalish(X0,e_4) ) ).
cnf(u12692,negated_conjecture,
( ~ product(e_4,e_3,X0)
| product(e_5,e_4,X0) ) ).
cnf(u12730,negated_conjecture,
( ~ product(e_2,e_1,X0)
| product(e_5,e_2,X0) ) ).
cnf(u12717,negated_conjecture,
( ~ product(e_4,X0,e_3)
| product(X0,e_1,e_4) ) ).
cnf(u12458,negated_conjecture,
( ~ product(e_1,X0,e_4)
| product(X0,e_2,e_1) ) ).
cnf(u12734,negated_conjecture,
( ~ product(e_4,e_5,X0)
| equalish(X0,e_1) ) ).
cnf(u12143,negated_conjecture,
( ~ product(X0,e_3,e_4)
| product(e_4,X0,e_5) ) ).
cnf(u12138,axiom,
( ~ product(X0,e_4,e_5)
| equalish(X0,e_3) ) ).
cnf(u12141,negated_conjecture,
( ~ product(e_4,X0,e_5)
| product(X0,e_3,e_4) ) ).
cnf(u12139,axiom,
( ~ product(e_3,X0,e_5)
| equalish(X0,e_4) ) ).
cnf(u12683,axiom,
( ~ product(e_3,e_1,X0)
| equalish(X0,e_2) ) ).
cnf(u12654,negated_conjecture,
( ~ product(X0,e_2,e_4)
| product(e_4,X0,e_1) ) ).
cnf(u12269,negated_conjecture,
( ~ product(X0,e_5,e_5)
| product(e_5,X0,e_5) ) ).
cnf(u12666,negated_conjecture,
( ~ product(X0,e_2,e_2)
| product(e_2,X0,e_2) ) ).
cnf(element_2,axiom,
group_element(e_2) ).
cnf(e_5_is_not_e_4,axiom,
~ equalish(e_5,e_4) ).
cnf(u12695,axiom,
( ~ product(X0,e_5,e_3)
| equalish(X0,e_2) ) ).
cnf(u12684,negated_conjecture,
( ~ product(e_1,X0,e_2)
| product(X0,e_3,e_1) ) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2) ).
cnf(u12703,axiom,
( ~ product(e_5,e_3,X0)
| equalish(X0,e_1) ) ).
cnf(e_2_is_not_e_5,axiom,
~ equalish(e_2,e_5) ).
cnf(u44,axiom,
( ~ group_element(X0)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| product(X0,e_5,e_5) ) ).
cnf(u12657,axiom,
( ~ product(e_4,e_3,X0)
| equalish(X0,e_2) ) ).
cnf(qg3,negated_conjecture,
( ~ product(X1,X2,X3)
| ~ product(X0,X1,X2)
| product(X2,X0,X3) ) ).
cnf(u12459,negated_conjecture,
( ~ product(e_4,e_2,X0)
| product(e_1,e_4,X0) ) ).
cnf(u12691,negated_conjecture,
( ~ product(e_5,X0,e_4)
| product(X0,e_3,e_5) ) ).
cnf(u12661,axiom,
( ~ product(X0,e_2,e_2)
| equalish(X0,e_2) ) ).
cnf(u12699,negated_conjecture,
( ~ product(e_3,e_2,X0)
| product(e_5,e_3,X0) ) ).
cnf(u12642,axiom,
( ~ product(X0,e_3,e_3)
| equalish(X0,e_3) ) ).
cnf(u12723,negated_conjecture,
( ~ product(e_1,X0,e_1)
| product(X0,e_1,e_1) ) ).
cnf(u12099,negated_conjecture,
( ~ product(e_2,X0,e_3)
| product(X0,e_4,e_2) ) ).
cnf(u12736,negated_conjecture,
( ~ product(e_1,e_4,X0)
| product(e_5,e_1,X0) ) ).
cnf(u12521,negated_conjecture,
( ~ product(e_3,X0,e_4)
| product(X0,e_1,e_3) ) ).
cnf(u12288,axiom,
( ~ product(X0,e_2,e_5)
| equalish(X0,e_1) ) ).
cnf(u12557,negated_conjecture,
( ~ product(e_1,e_3,X0)
| product(e_2,e_1,X0) ) ).
cnf(u12653,negated_conjecture,
( ~ product(e_1,e_2,X0)
| product(e_4,e_1,X0) ) ).
cnf(u12674,axiom,
( ~ product(X0,e_4,e_2)
| equalish(X0,e_5) ) ).
cnf(u12152,axiom,
( ~ product(e_2,e_3,X0)
| equalish(X0,e_5) ) ).
cnf(u12735,negated_conjecture,
( ~ product(e_5,X0,e_1)
| product(X0,e_4,e_5) ) ).
cnf(e_1_is_not_e_5,axiom,
~ equalish(e_1,e_5) ).
cnf(u898,axiom,
( ~ group_element(X0)
| product(e_1,X0,e_5)
| product(e_2,X0,e_5)
| product(e_3,X0,e_5)
| product(e_4,X0,e_5)
| product(e_5,X0,e_5) ) ).
cnf(u12292,negated_conjecture,
( ~ product(e_5,e_1,X0)
| product(e_2,e_5,X0) ) ).
cnf(qg3_1,negated_conjecture,
( ~ product(X1,X2,X3)
| ~ product(X2,X0,X3)
| product(X0,X1,X2) ) ).
cnf(u12681,axiom,
( ~ product(X0,e_1,e_2)
| equalish(X0,e_3) ) ).
cnf(product_total_function1,axiom,
( ~ group_element(X1)
| ~ group_element(X0)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| product(X0,X1,e_5) ) ).
cnf(u12711,negated_conjecture,
( ~ product(e_1,X0,e_3)
| product(X0,e_5,e_1) ) ).
cnf(u12700,negated_conjecture,
( ~ product(X0,e_2,e_5)
| product(e_5,X0,e_3) ) ).
cnf(row_surjectivity,axiom,
( ~ group_element(X1)
| ~ group_element(X0)
| product(e_1,X0,X1)
| product(e_2,X0,X1)
| product(e_3,X0,X1)
| product(e_4,X0,X1)
| product(e_5,X0,X1) ) ).
cnf(e_5_is_not_e_3,axiom,
~ equalish(e_5,e_3) ).
cnf(u43,axiom,
( ~ group_element(X0)
| product(X0,e_4,e_1)
| product(X0,e_4,e_2)
| product(X0,e_4,e_3)
| product(X0,e_4,e_4)
| product(X0,e_4,e_5) ) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1) ).
cnf(u12100,negated_conjecture,
( ~ product(e_3,e_4,X0)
| product(e_2,e_3,X0) ) ).
cnf(u41,axiom,
( ~ group_element(X0)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| product(X0,e_2,e_4)
| product(X0,e_2,e_5) ) ).
cnf(u12715,axiom,
( ~ product(e_1,X0,e_3)
| equalish(X0,e_4) ) ).
cnf(u12704,negated_conjecture,
( ~ product(e_3,X0,e_1)
| product(X0,e_5,e_3) ) ).
cnf(u12217,axiom,
( ~ product(e_4,X0,e_5)
| equalish(X0,e_1) ) ).
cnf(u12219,negated_conjecture,
( ~ product(e_1,X0,e_5)
| product(X0,e_4,e_1) ) ).
cnf(u12737,negated_conjecture,
( ~ product(X0,e_4,e_5)
| product(e_5,X0,e_1) ) ).
cnf(u12460,negated_conjecture,
( ~ product(X0,e_2,e_1)
| product(e_1,X0,e_4) ) ).
cnf(u12708,axiom,
( ~ product(X0,e_1,e_3)
| equalish(X0,e_5) ) ).
cnf(u12649,axiom,
( ~ product(X0,e_4,e_1)
| equalish(X0,e_2) ) ).
cnf(u12727,axiom,
( ~ product(e_1,X0,e_2)
| equalish(X0,e_5) ) ).
cnf(u12441,axiom,
( ~ product(X0,e_4,e_4)
| equalish(X0,e_4) ) ).
cnf(u12689,axiom,
( ~ product(e_3,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(u12293,negated_conjecture,
( ~ product(X0,e_1,e_2)
| product(e_2,X0,e_5) ) ).
cnf(u12218,axiom,
( ~ product(e_4,e_1,X0)
| equalish(X0,e_5) ) ).
cnf(u12518,axiom,
( ~ product(X0,e_3,e_4)
| equalish(X0,e_1) ) ).
cnf(u12150,axiom,
( ~ product(X0,e_3,e_5)
| equalish(X0,e_2) ) ).
cnf(u12456,axiom,
( ~ product(e_2,X0,e_4)
| equalish(X0,e_1) ) ).
cnf(u12220,negated_conjecture,
( ~ product(e_5,e_4,X0)
| product(e_1,e_5,X0) ) ).
cnf(u12264,axiom,
( ~ product(X0,e_5,e_5)
| equalish(X0,e_5) ) ).
cnf(u12097,axiom,
( ~ product(e_4,X0,e_3)
| equalish(X0,e_2) ) ).
cnf(u12693,negated_conjecture,
( ~ product(X0,e_3,e_5)
| product(e_5,X0,e_4) ) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1) ).
cnf(u12669,axiom,
( ~ product(e_5,e_2,X0)
| equalish(X0,e_4) ) ).
cnf(u12651,axiom,
( ~ product(e_2,e_4,X0)
| equalish(X0,e_1) ) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4) ).
cnf(u12716,axiom,
( ~ product(e_1,e_4,X0)
| equalish(X0,e_3) ) ).
cnf(u12267,negated_conjecture,
( ~ product(e_5,X0,e_5)
| product(X0,e_5,e_5) ) ).
cnf(e_5_is_not_e_2,axiom,
~ equalish(e_5,e_2) ).
cnf(column_surjectivity,axiom,
( ~ group_element(X1)
| ~ group_element(X0)
| product(X0,e_1,X1)
| product(X0,e_2,X1)
| product(X0,e_3,X1)
| product(X0,e_4,X1)
| product(X0,e_5,X1) ) ).
cnf(u897,axiom,
( ~ group_element(X0)
| product(e_1,X0,e_4)
| product(e_2,X0,e_4)
| product(e_3,X0,e_4)
| product(e_4,X0,e_4)
| product(e_5,X0,e_4) ) ).
cnf(u12672,negated_conjecture,
( ~ product(X0,e_5,e_2)
| product(e_2,X0,e_4) ) ).
cnf(e_4_is_not_e_5,axiom,
~ equalish(e_4,e_5) ).
cnf(u12444,negated_conjecture,
( ~ product(e_4,X0,e_4)
| product(X0,e_4,e_4) ) ).
cnf(u12706,negated_conjecture,
( ~ product(X0,e_5,e_3)
| product(e_3,X0,e_1) ) ).
cnf(product_total_function2,axiom,
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| equalish(X2,X3) ) ).
cnf(u42,axiom,
( ~ group_element(X0)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| product(X0,e_3,e_4)
| product(X0,e_3,e_5) ) ).
cnf(u12712,negated_conjecture,
( ~ product(e_3,e_5,X0)
| product(e_1,e_3,X0) ) ).
cnf(u40,axiom,
( ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4)
| product(X0,e_1,e_5) ) ).
cnf(u12731,negated_conjecture,
( ~ product(X0,e_1,e_5)
| product(e_5,X0,e_2) ) ).
cnf(u12701,axiom,
( ~ product(X0,e_3,e_1)
| equalish(X0,e_5) ) ).
cnf(u12720,axiom,
( ~ product(X0,e_1,e_1)
| equalish(X0,e_1) ) ).
cnf(u1703,negated_conjecture,
equalish(e_3,e_3) ).
cnf(u12221,negated_conjecture,
( ~ product(X0,e_4,e_1)
| product(e_1,X0,e_5) ) ).
cnf(u12142,negated_conjecture,
( ~ product(e_5,e_3,X0)
| product(e_4,e_5,X0) ) ).
cnf(u12662,axiom,
( ~ product(e_2,X0,e_2)
| equalish(X0,e_2) ) ).
cnf(u12732,negated_conjecture,
( ~ product(X0,e_5,e_1)
| equalish(X0,e_4) ) ).
cnf(u12782,negated_conjecture,
equalish(e_2,e_2) ).
cnf(u12140,axiom,
( ~ product(e_3,e_4,X0)
| equalish(X0,e_5) ) ).
cnf(u12658,negated_conjecture,
( ~ product(e_3,X0,e_2)
| product(X0,e_4,e_3) ) ).
cnf(u12677,negated_conjecture,
( ~ product(e_4,X0,e_2)
| product(X0,e_5,e_4) ) ).
cnf(u895,axiom,
( ~ group_element(X0)
| product(e_1,X0,e_2)
| product(e_2,X0,e_2)
| product(e_3,X0,e_2)
| product(e_4,X0,e_2)
| product(e_5,X0,e_2) ) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3) ).
cnf(u12685,negated_conjecture,
( ~ product(e_2,e_3,X0)
| product(e_1,e_2,X0) ) ).
cnf(element_5,axiom,
group_element(e_5) ).
cnf(u12722,axiom,
( ~ product(e_1,e_1,X0)
| equalish(X0,e_1) ) ).
cnf(u36,axiom,
( ~ group_element(X0)
| product(X0,e_1,e_2)
| product(X0,e_2,e_2)
| product(X0,e_3,e_2)
| product(X0,e_4,e_2)
| product(X0,e_5,e_2) ) ).
cnf(u12688,axiom,
( ~ product(X0,e_5,e_4)
| equalish(X0,e_3) ) ).
cnf(u12670,negated_conjecture,
( ~ product(e_2,X0,e_4)
| product(X0,e_5,e_2) ) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3) ).
cnf(u12522,negated_conjecture,
( ~ product(e_4,e_1,X0)
| product(e_3,e_4,X0) ) ).
cnf(e_5_is_not_e_1,axiom,
~ equalish(e_5,e_1) ).
cnf(u12553,negated_conjecture,
( ~ product(X0,e_2,e_1)
| equalish(X0,e_3) ) ).
cnf(u6396,negated_conjecture,
equalish(e_4,e_4) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3) ).
cnf(u12678,negated_conjecture,
( ~ product(e_2,e_5,X0)
| product(e_4,e_2,X0) ) ).
cnf(u12457,axiom,
( ~ product(e_2,e_1,X0)
| equalish(X0,e_4) ) ).
cnf(u12719,negated_conjecture,
( ~ product(X0,e_1,e_4)
| product(e_4,X0,e_3) ) ).
cnf(u12718,negated_conjecture,
( ~ product(e_3,e_1,X0)
| product(e_4,e_3,X0) ) ).
cnf(u12098,axiom,
( ~ product(e_4,e_2,X0)
| equalish(X0,e_3) ) ).
cnf(u12519,axiom,
( ~ product(e_1,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(u12696,axiom,
( ~ product(e_2,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u12721,axiom,
( ~ product(e_1,X0,e_1)
| equalish(X0,e_1) ) ).
cnf(u12663,axiom,
( ~ product(e_2,e_2,X0)
| equalish(X0,e_2) ) ).
cnf(u9590,negated_conjecture,
equalish(e_5,e_5) ).
cnf(u12442,axiom,
( ~ product(e_4,X0,e_4)
| equalish(X0,e_4) ) ).
cnf(u12289,axiom,
( ~ product(e_1,X0,e_5)
| equalish(X0,e_2) ) ).
cnf(u12523,negated_conjecture,
( ~ product(X0,e_1,e_3)
| product(e_3,X0,e_4) ) ).
cnf(u12554,negated_conjecture,
( ~ product(e_3,X0,e_1)
| equalish(X0,e_2) ) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4) ).
cnf(u12682,axiom,
( ~ product(e_3,X0,e_2)
| equalish(X0,e_1) ) ).
cnf(u12698,negated_conjecture,
( ~ product(e_5,X0,e_3)
| product(X0,e_2,e_5) ) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2) ).
cnf(u12729,negated_conjecture,
( ~ product(e_5,X0,e_2)
| product(X0,e_1,e_5) ) ).
cnf(u12558,negated_conjecture,
( ~ product(X0,e_3,e_2)
| product(e_2,X0,e_1) ) ).
cnf(product_left_cancellation,axiom,
( ~ product(X3,X1,X2)
| ~ product(X0,X1,X2)
| equalish(X0,X3) ) ).
cnf(element_4,axiom,
group_element(e_4) ).
cnf(u12686,negated_conjecture,
( ~ product(X0,e_3,e_1)
| product(e_1,X0,e_2) ) ).
cnf(u39,axiom,
( ~ group_element(X0)
| product(X0,e_1,e_5)
| product(X0,e_2,e_5)
| product(X0,e_3,e_5)
| product(X0,e_4,e_5)
| product(X0,e_5,e_5) ) ).
cnf(u12697,axiom,
( ~ product(e_2,e_5,X0)
| equalish(X0,e_3) ) ).
cnf(u37,axiom,
( ~ group_element(X0)
| product(X0,e_1,e_3)
| product(X0,e_2,e_3)
| product(X0,e_3,e_3)
| product(X0,e_4,e_3)
| product(X0,e_5,e_3) ) ).
cnf(u12645,negated_conjecture,
( ~ product(e_3,X0,e_3)
| product(X0,e_3,e_3) ) ).
cnf(u12101,negated_conjecture,
( ~ product(X0,e_4,e_2)
| product(e_2,X0,e_3) ) ).
cnf(u12705,negated_conjecture,
( ~ product(e_1,e_5,X0)
| product(e_3,e_1,X0) ) ).
cnf(u12216,axiom,
( ~ product(X0,e_1,e_5)
| equalish(X0,e_4) ) ).
cnf(u12709,axiom,
( ~ product(e_5,X0,e_3)
| equalish(X0,e_1) ) ).
cnf(u12690,axiom,
( ~ product(e_3,e_5,X0)
| equalish(X0,e_4) ) ).
cnf(u12647,negated_conjecture,
( ~ product(X0,e_3,e_3)
| product(e_3,X0,e_3) ) ).
cnf(u12555,negated_conjecture,
( ~ product(e_3,e_2,X0)
| equalish(X0,e_1) ) ).
cnf(u12655,axiom,
( ~ product(X0,e_3,e_2)
| equalish(X0,e_4) ) ).
cnf(u12679,negated_conjecture,
( ~ product(X0,e_5,e_4)
| product(e_4,X0,e_2) ) ).
cnf(u894,axiom,
( ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_2,X0,e_1)
| product(e_3,X0,e_1)
| product(e_4,X0,e_1)
| product(e_5,X0,e_1) ) ).
cnf(u12643,axiom,
( ~ product(e_3,X0,e_3)
| equalish(X0,e_3) ) ).
cnf(u12671,negated_conjecture,
( ~ product(e_4,e_5,X0)
| product(e_2,e_4,X0) ) ).
cnf(qg3_2,negated_conjecture,
( ~ product(X3,X0,X1)
| ~ product(X1,X3,X2)
| product(X0,X1,X2) ) ).
cnf(u12290,axiom,
( ~ product(e_1,e_2,X0)
| equalish(X0,e_5) ) ).
cnf(u12265,axiom,
( ~ product(e_5,X0,e_5)
| equalish(X0,e_5) ) ).
cnf(u12520,axiom,
( ~ product(e_1,e_3,X0)
| equalish(X0,e_4) ) ).
cnf(u12779,negated_conjecture,
equalish(e_1,e_1) ).
cnf(u12644,axiom,
( ~ product(e_3,e_3,X0)
| equalish(X0,e_3) ) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP129-4.005 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n006.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:27:28 UTC 2026
% 0.10/0.39 % CPUTime :
% 0.10/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.41 Running first-order theorem proving
% 0.10/0.41 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
% 6.93/1.99 % (2728032)Input is clausal, will run a generic CNF schedule.
% 6.93/1.99 % (2728039)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=894309581:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.93/1.99 % (2728042)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=195947013:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.93/1.99 % (2728040)lrs+10_1_sil=8000:sp=occurrence:random_seed=264283645:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.93/1.99 % (2728043)dis-21_1_sil=8000:lcm=predicate:random_seed=4034707670: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)
% 6.93/1.99 % (2728038)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=155168019:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.93/1.99 % (2728037)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=4183978921:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.93/1.99 % (2728040)Refutation not found, incomplete strategy
% 6.93/1.99 % (2728040)------------------------------
% 6.93/1.99 % (2728040)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.99 % (2728040)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.99 % (2728040)CaDiCaL version: 2.1.3
% 6.93/1.99 % (2728040)Termination reason: Refutation not found, incomplete strategy
% 6.93/1.99 % (2728040)Time elapsed: 0.001 s
% 6.93/1.99 % (2728040)Peak memory usage: 87 MB
% 6.93/1.99 % (2728041)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2644774002:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.93/1.99 % (2728041)Instruction limit reached!
% 6.93/1.99 % (2728041)------------------------------
% 6.93/1.99 % (2728041)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.99 % (2728041)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.99 % (2728041)CaDiCaL version: 2.1.3
% 6.93/1.99 % (2728041)Termination reason: Instruction limit
% 6.93/1.99 % (2728041)Termination phase: Saturation
% 6.93/1.99 % (2728041)Time elapsed: 0.057 s
% 6.93/1.99 % (2728041)Peak memory usage: 88 MB
% 6.93/1.99 % (2728041)Instructions burned: 114 (million)
% 6.93/1.99 % (2728043)Instruction limit reached!
% 6.93/1.99 % (2728043)------------------------------
% 6.93/1.99 % (2728043)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.99 % (2728043)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.99 % (2728043)CaDiCaL version: 2.1.3
% 6.93/1.99 % (2728043)Termination reason: Instruction limit
% 6.93/1.99 % (2728043)Termination phase: Saturation
% 6.93/1.99 % (2728043)Time elapsed: 0.070 s
% 6.93/1.99 % (2728043)Peak memory usage: 89 MB
% 6.93/1.99 % (2728043)Instructions burned: 117 (million)
% 6.93/1.99 % (2728042)Instruction limit reached!
% 6.93/1.99 % (2728042)------------------------------
% 6.93/1.99 % (2728042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.99 % (2728042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.99 % (2728042)CaDiCaL version: 2.1.3
% 6.93/1.99 % (2728042)Termination reason: Instruction limit
% 6.93/1.99 % (2728042)Termination phase: Saturation
% 6.93/1.99 % (2728042)Time elapsed: 0.127 s
% 6.93/1.99 % (2728042)Peak memory usage: 89 MB
% 6.93/1.99 % (2728042)Instructions burned: 181 (million)
% 6.93/1.99 % (2728052)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3126654126: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)
% 6.93/1.99 % (2728051)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=1534076449:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 6.93/1.99 % (2728052)Refutation not found, incomplete strategy
% 6.93/1.99 % (2728052)------------------------------
% 6.93/1.99 % (2728052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.93/1.99 % (2728052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.93/1.99 % (2728052)CaDiCaL version: 2.1.3
% 6.93/1.99 % (2728052)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.82 % (2728052)Time elapsed: 0.002 s
% 12.71/2.82 % (2728052)Peak memory usage: 87 MB
% 12.71/2.82 % (2728052)Instructions burned: 2 (million)
% 12.71/2.82 % (2728040)------------------------------
% 12.71/2.82 % (2728040)------------------------------
% 12.71/2.82 % (2728053)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4068148678:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 12.71/2.82 % (2728051)Instruction limit reached!
% 12.71/2.82 % (2728051)------------------------------
% 12.71/2.82 % (2728051)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.82 % (2728051)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.82 % (2728051)CaDiCaL version: 2.1.3
% 12.71/2.82 % (2728051)Termination reason: Instruction limit
% 12.71/2.82 % (2728051)Termination phase: Saturation
% 12.71/2.82 % (2728051)Time elapsed: 0.081 s
% 12.71/2.82 % (2728051)Peak memory usage: 88 MB
% 12.71/2.82 % (2728051)Instructions burned: 144 (million)
% 12.71/2.82 % (2728056)lrs+10_64_to=lpo:sil=8000:random_seed=4232816781:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 12.71/2.82 % (2728053)Instruction limit reached!
% 12.71/2.82 % (2728053)------------------------------
% 12.71/2.82 % (2728053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.82 % (2728053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.82 % (2728053)CaDiCaL version: 2.1.3
% 12.71/2.82 % (2728053)Termination reason: Instruction limit
% 12.71/2.82 % (2728053)Termination phase: Saturation
% 12.71/2.82 % (2728053)Time elapsed: 0.105 s
% 12.71/2.82 % (2728053)Peak memory usage: 88 MB
% 12.71/2.82 % (2728053)Instructions burned: 221 (million)
% 12.71/2.82 % (2728058)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2865350789:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 12.71/2.82 % (2728056)Instruction limit reached!
% 12.71/2.82 % (2728056)------------------------------
% 12.71/2.82 % (2728056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.82 % (2728056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.82 % (2728056)CaDiCaL version: 2.1.3
% 12.71/2.82 % (2728056)Termination reason: Instruction limit
% 12.71/2.82 % (2728056)Termination phase: Saturation
% 12.71/2.82 % (2728056)Time elapsed: 0.075 s
% 12.71/2.82 % (2728056)Peak memory usage: 88 MB
% 12.71/2.82 % (2728056)Instructions burned: 126 (million)
% 12.71/2.82 % (2728052)------------------------------
% 12.71/2.82 % (2728052)------------------------------
% 12.71/2.82 % (2728058)Instruction limit reached!
% 12.71/2.82 % (2728058)------------------------------
% 12.71/2.82 % (2728058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.82 % (2728058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.82 % (2728058)CaDiCaL version: 2.1.3
% 12.71/2.82 % (2728058)Termination reason: Instruction limit
% 12.71/2.82 % (2728058)Termination phase: Saturation
% 12.71/2.82 % (2728058)Time elapsed: 0.084 s
% 12.71/2.82 % (2728058)Peak memory usage: 87 MB
% 12.71/2.82 % (2728058)Instructions burned: 196 (million)
% 12.71/2.82 % (2728060)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1875738322:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 12.71/2.82 % (2728038)Refutation not found, incomplete strategy
% 12.71/2.82 % (2728038)------------------------------
% 12.71/2.82 % (2728038)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.82 % (2728038)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.82 % (2728038)CaDiCaL version: 2.1.3
% 12.71/2.82 % (2728038)Termination reason: Refutation not found, incomplete strategy
% 12.71/2.82 % (2728038)Time elapsed: 0.560 s
% 12.71/2.82 % (2728038)Peak memory usage: 126 MB
% 12.71/2.82 % (2728038)Instructions burned: 862 (million)
% 12.71/2.82 % (2728062)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=947421273:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 12.71/2.82 % (2728060)Instruction limit reached!
% 12.71/2.82 % (2728060)------------------------------
% 12.71/2.82 % (2728060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.71/2.82 % (2728060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.71/2.82 % (2728060)CaDiCaL version: 2.1.3
% 12.71/2.82 % (2728060)Termination reason: Instruction limit
% 12.71/2.82 % (2728060)Termination phase: Saturation
% 12.71/2.82 % (2728060)Time elapsed: 0.086 s
% 12.71/2.82 % (2728060)Peak memory usage: 89 MB
% 23.89/4.28 % (2728060)Instructions burned: 158 (million)
% 23.89/4.28 % (2728063)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=2468027248:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 23.89/4.28 % (2728063)Refutation not found, incomplete strategy
% 23.89/4.28 % (2728063)------------------------------
% 23.89/4.28 % (2728063)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.89/4.28 % (2728063)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.89/4.28 % (2728063)CaDiCaL version: 2.1.3
% 23.89/4.28 % (2728063)Termination reason: Refutation not found, incomplete strategy
% 23.89/4.28 % (2728063)Time elapsed: 0.002 s
% 23.89/4.28 % (2728063)Peak memory usage: 87 MB
% 23.89/4.28 % (2728063)Instructions burned: 1 (million)
% 23.89/4.28 % (2728065)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1223569042:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 23.89/4.28 % (2728065)Instruction limit reached!
% 23.89/4.28 % (2728065)------------------------------
% 23.89/4.28 % (2728065)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.89/4.28 % (2728065)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.89/4.28 % (2728065)CaDiCaL version: 2.1.3
% 23.89/4.28 % (2728065)Termination reason: Instruction limit
% 23.89/4.28 % (2728065)Termination phase: Saturation
% 23.89/4.28 % (2728065)Time elapsed: 0.064 s
% 23.89/4.28 % (2728065)Peak memory usage: 88 MB
% 23.89/4.28 % (2728065)Instructions burned: 107 (million)
% 23.89/4.28 % (2728038)------------------------------
% 23.89/4.28 % (2728038)------------------------------
% 23.89/4.28 % (2728068)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3329886625:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 23.89/4.28 % (2728070)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3771446969:cond=fast:i=5208:av=off_2991 on theBenchmark for (2991ds/5208Mi)
% 23.89/4.28 % (2728072)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1707135947:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 23.89/4.28 % (2728063)------------------------------
% 23.89/4.28 % (2728063)------------------------------
% 23.89/4.28 % (2728072)Instruction limit reached!
% 23.89/4.28 % (2728072)------------------------------
% 23.89/4.28 % (2728072)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.89/4.28 % (2728072)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.89/4.28 % (2728072)CaDiCaL version: 2.1.3
% 23.89/4.28 % (2728072)Termination reason: Instruction limit
% 23.89/4.28 % (2728072)Termination phase: Saturation
% 23.89/4.28 % (2728072)Time elapsed: 0.030 s
% 23.89/4.28 % (2728072)Peak memory usage: 87 MB
% 23.89/4.28 % (2728072)Instructions burned: 135 (million)
% 23.89/4.28 % (2728068)Instruction limit reached!
% 23.89/4.28 % (2728068)------------------------------
% 23.89/4.28 % (2728068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.89/4.28 % (2728068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.89/4.28 % (2728068)CaDiCaL version: 2.1.3
% 23.89/4.28 % (2728068)Termination reason: Instruction limit
% 23.89/4.28 % (2728068)Termination phase: Saturation
% 23.89/4.28 % (2728068)Time elapsed: 0.116 s
% 23.89/4.28 % (2728068)Peak memory usage: 88 MB
% 23.89/4.28 % (2728068)Instructions burned: 242 (million)
% 23.89/4.28 % (2728076)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=4153646299:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 23.89/4.28 % (2728075)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1589333836:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 23.89/4.28 % (2728077)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3997330434:i=264:kws=precedence:fsr=off_2990 on theBenchmark for (2990ds/264Mi)
% 23.89/4.28 % (2728076)Instruction limit reached!
% 23.89/4.28 % (2728076)------------------------------
% 23.89/4.28 % (2728076)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 23.89/4.28 % (2728076)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 23.89/4.28 % (2728076)CaDiCaL version: 2.1.3
% 33.45/5.68 % (2728076)Termination reason: Instruction limit
% 33.45/5.68 % (2728076)Termination phase: Saturation
% 33.45/5.68 % (2728076)Time elapsed: 0.064 s
% 33.45/5.68 % (2728076)Peak memory usage: 88 MB
% 33.45/5.68 % (2728076)Instructions burned: 194 (million)
% 33.45/5.68 % (2728081)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2415144746:cond=on:i=156:bs=on:gtg=exists_all:er=known_2988 on theBenchmark for (2988ds/156Mi)
% 33.45/5.68 % (2728077)Instruction limit reached!
% 33.45/5.68 % (2728077)------------------------------
% 33.45/5.68 % (2728077)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.45/5.68 % (2728077)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.45/5.68 % (2728077)CaDiCaL version: 2.1.3
% 33.45/5.68 % (2728077)Termination reason: Instruction limit
% 33.45/5.68 % (2728077)Termination phase: Saturation
% 33.45/5.68 % (2728077)Time elapsed: 0.156 s
% 33.45/5.68 % (2728077)Peak memory usage: 90 MB
% 33.45/5.68 % (2728077)Instructions burned: 265 (million)
% 33.45/5.68 % (2728081)Instruction limit reached!
% 33.45/5.68 % (2728081)------------------------------
% 33.45/5.68 % (2728081)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.45/5.68 % (2728081)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.45/5.68 % (2728081)CaDiCaL version: 2.1.3
% 33.45/5.68 % (2728081)Termination reason: Instruction limit
% 33.45/5.68 % (2728081)Termination phase: Saturation
% 33.45/5.68 % (2728081)Time elapsed: 0.040 s
% 33.45/5.68 % (2728081)Peak memory usage: 88 MB
% 33.45/5.68 % (2728081)Instructions burned: 157 (million)
% 33.45/5.68 % (2728084)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1558821075:i=537:av=off:ss=included_2987 on theBenchmark for (2987ds/537Mi)
% 33.45/5.68 % (2728075)Instruction limit reached!
% 33.45/5.68 % (2728075)------------------------------
% 33.45/5.68 % (2728075)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.45/5.68 % (2728075)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.45/5.68 % (2728075)CaDiCaL version: 2.1.3
% 33.45/5.68 % (2728075)Termination reason: Instruction limit
% 33.45/5.68 % (2728075)Termination phase: Saturation
% 33.45/5.68 % (2728075)Time elapsed: 0.266 s
% 33.45/5.68 % (2728075)Peak memory usage: 90 MB
% 33.45/5.68 % (2728075)Instructions burned: 500 (million)
% 33.45/5.68 % (2728083)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=2573121539:i=3256:kws=precedence:bd=preordered:av=off_2987 on theBenchmark for (2987ds/3256Mi)
% 33.45/5.68 % (2728084)Instruction limit reached!
% 33.45/5.68 % (2728084)------------------------------
% 33.45/5.68 % (2728084)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.45/5.68 % (2728084)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.45/5.68 % (2728084)CaDiCaL version: 2.1.3
% 33.45/5.68 % (2728084)Termination reason: Instruction limit
% 33.45/5.68 % (2728084)Termination phase: Saturation
% 33.45/5.68 % (2728084)Time elapsed: 0.124 s
% 33.45/5.68 % (2728084)Peak memory usage: 88 MB
% 33.45/5.68 % (2728084)Instructions burned: 542 (million)
% 33.45/5.68 % (2728086)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3514742063:i=180:bd=preordered:av=off_2986 on theBenchmark for (2986ds/180Mi)
% 33.45/5.68 % (2728088)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=485869966:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2985 on theBenchmark for (2985ds/10307Mi)
% 33.45/5.68 % (2728086)Instruction limit reached!
% 33.45/5.68 % (2728086)------------------------------
% 33.45/5.68 % (2728086)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 33.45/5.68 % (2728086)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 33.45/5.68 % (2728086)CaDiCaL version: 2.1.3
% 33.45/5.68 % (2728086)Termination reason: Instruction limit
% 33.45/5.68 % (2728086)Termination phase: Saturation
% 33.45/5.68 % (2728086)Time elapsed: 0.093 s
% 33.45/5.68 % (2728086)Peak memory usage: 87 MB
% 33.45/5.68 % (2728086)Instructions burned: 180 (million)
% 33.45/5.68 % (2728091)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=2971840806:i=412:gtgl=4:gtg=exists_all_2983 on theBenchmark for (2983ds/412Mi)
% 33.45/5.68 % (2728091)Instruction limit reached!
% 33.45/5.68 % (2728091)------------------------------
% 33.45/5.68 % (2728091)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.25/6.46 % (2728091)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.25/6.46 % (2728091)CaDiCaL version: 2.1.3
% 39.25/6.46 % (2728091)Termination reason: Instruction limit
% 39.25/6.46 % (2728091)Termination phase: Saturation
% 39.25/6.46 % (2728091)Time elapsed: 0.230 s
% 39.25/6.46 % (2728091)Peak memory usage: 90 MB
% 39.25/6.46 % (2728091)Instructions burned: 413 (million)
% 39.25/6.46 % (2728093)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=77249605:s2pl=no:i=8478:s2at=4:nm=6_2980 on theBenchmark for (2980ds/8478Mi)
% 39.25/6.46 % (2728093)Refutation not found, incomplete strategy
% 39.25/6.46 % (2728093)------------------------------
% 39.25/6.46 % (2728093)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.25/6.46 % (2728093)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.25/6.46 % (2728093)CaDiCaL version: 2.1.3
% 39.25/6.46 % (2728093)Termination reason: Refutation not found, incomplete strategy
% 39.25/6.46 % (2728093)Time elapsed: 0.556 s
% 39.25/6.46 % (2728093)Peak memory usage: 127 MB
% 39.25/6.46 % (2728093)Instructions burned: 860 (million)
% 39.25/6.46 % (2728093)------------------------------
% 39.25/6.46 % (2728093)------------------------------
% 39.25/6.46 % (2728062)Instruction limit reached!
% 39.25/6.46 % (2728062)------------------------------
% 39.25/6.46 % (2728062)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.25/6.46 % (2728062)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.25/6.46 % (2728062)CaDiCaL version: 2.1.3
% 39.25/6.46 % (2728062)Termination reason: Instruction limit
% 39.25/6.46 % (2728062)Termination phase: Saturation
% 39.25/6.46 % (2728062)Time elapsed: 2.316 s
% 39.25/6.46 % (2728062)Peak memory usage: 142 MB
% 39.25/6.46 % (2728062)Instructions burned: 3395 (million)
% 39.25/6.46 % (2728095)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=1126453931:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2971 on theBenchmark for (2971ds/303Mi)
% 39.25/6.46 % (2728097)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=2914306536:st=4:i=720:sd=3:fsr=off:ss=axioms_2969 on theBenchmark for (2969ds/720Mi)
% 39.25/6.46 % (2728097)Refutation not found, incomplete strategy
% 39.25/6.46 % (2728097)------------------------------
% 39.25/6.46 % (2728097)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.25/6.46 % (2728097)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.25/6.46 % (2728097)CaDiCaL version: 2.1.3
% 39.25/6.46 % (2728097)Termination reason: Refutation not found, incomplete strategy
% 39.25/6.46 % (2728097)Time elapsed: 0.002 s
% 39.25/6.46 % (2728097)Peak memory usage: 87 MB
% 39.25/6.46 % (2728097)Instructions burned: 1 (million)
% 39.25/6.46 % (2728095)Instruction limit reached!
% 39.25/6.46 % (2728095)------------------------------
% 39.25/6.46 % (2728095)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.25/6.46 % (2728095)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.25/6.46 % (2728095)CaDiCaL version: 2.1.3
% 39.25/6.46 % (2728095)Termination reason: Instruction limit
% 39.25/6.46 % (2728095)Termination phase: Saturation
% 39.25/6.46 % (2728095)Time elapsed: 0.175 s
% 39.25/6.46 % (2728095)Peak memory usage: 89 MB
% 39.25/6.46 % (2728095)Instructions burned: 304 (million)
% 39.25/6.46 % (2728083)Instruction limit reached!
% 39.25/6.46 % (2728083)------------------------------
% 39.25/6.46 % (2728083)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 39.25/6.46 % (2728083)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 39.25/6.46 % (2728083)CaDiCaL version: 2.1.3
% 39.25/6.46 % (2728083)Termination reason: Instruction limit
% 39.25/6.46 % (2728083)Termination phase: Saturation
% 39.25/6.46 % (2728083)Time elapsed: 1.902 s
% 39.25/6.46 % (2728083)Peak memory usage: 137 MB
% 39.25/6.46 % (2728083)Instructions burned: 3256 (million)
% 39.25/6.46 % (2728099)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=1892235548:i=598:bs=on:bd=preordered:av=off:ss=axioms_2968 on theBenchmark for (2968ds/598Mi)
% 39.25/6.46 % (2728097)------------------------------
% 39.25/6.46 % (2728097)------------------------------
% 39.25/6.46 % (2728100)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=2318116452:i=2989:sd=3:ss=axioms:sgt=60_2966 on theBenchmark for (2966ds/2989Mi)
% 53.07/8.37 % (2728102)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=441559699:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2966 on theBenchmark for (2966ds/1997Mi)
% 53.07/8.37 % (2728099)Instruction limit reached!
% 53.07/8.37 % (2728099)------------------------------
% 53.07/8.37 % (2728099)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.07/8.37 % (2728099)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.07/8.37 % (2728099)CaDiCaL version: 2.1.3
% 53.07/8.37 % (2728099)Termination reason: Instruction limit
% 53.07/8.37 % (2728099)Termination phase: Saturation
% 53.07/8.37 % (2728099)Time elapsed: 0.259 s
% 53.07/8.37 % (2728099)Peak memory usage: 87 MB
% 53.07/8.37 % (2728099)Instructions burned: 599 (million)
% 53.07/8.37 % (2728070)Instruction limit reached!
% 53.07/8.37 % (2728070)------------------------------
% 53.07/8.37 % (2728070)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.07/8.37 % (2728070)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.07/8.37 % (2728070)CaDiCaL version: 2.1.3
% 53.07/8.37 % (2728070)Termination reason: Instruction limit
% 53.07/8.37 % (2728070)Termination phase: Saturation
% 53.07/8.37 % (2728070)Time elapsed: 2.700 s
% 53.07/8.37 % (2728070)Peak memory usage: 134 MB
% 53.07/8.37 % (2728070)Instructions burned: 5208 (million)
% 53.07/8.37 % (2728105)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=441968096:i=2088:bd=preordered:av=off_2964 on theBenchmark for (2964ds/2088Mi)
% 53.07/8.37 % (2728106)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=3948742105:i=1098:nicw=on_2963 on theBenchmark for (2963ds/1098Mi)
% 53.07/8.37 % (2728106)Instruction limit reached!
% 53.07/8.37 % (2728106)------------------------------
% 53.07/8.37 % (2728106)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.07/8.37 % (2728106)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.07/8.37 % (2728106)CaDiCaL version: 2.1.3
% 53.07/8.37 % (2728106)Termination reason: Instruction limit
% 53.07/8.37 % (2728106)Termination phase: Saturation
% 53.07/8.37 % (2728106)Time elapsed: 0.586 s
% 53.07/8.37 % (2728106)Peak memory usage: 92 MB
% 53.07/8.37 % (2728106)Instructions burned: 1099 (million)
% 53.07/8.37 % (2728109)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=3600432474:i=433:bd=preordered_2956 on theBenchmark for (2956ds/433Mi)
% 53.07/8.37 % (2728088)Instruction limit reached!
% 53.07/8.37 % (2728088)------------------------------
% 53.07/8.37 % (2728088)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.07/8.37 % (2728088)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.07/8.37 % (2728088)CaDiCaL version: 2.1.3
% 53.07/8.37 % (2728088)Termination reason: Instruction limit
% 53.07/8.37 % (2728088)Termination phase: Saturation
% 53.07/8.37 % (2728088)Time elapsed: 3.005 s
% 53.07/8.37 % (2728088)Peak memory usage: 153 MB
% 53.07/8.37 % (2728088)Instructions burned: 10308 (million)
% 53.07/8.37 % (2728109)Refutation not found, incomplete strategy
% 53.07/8.37 % (2728109)------------------------------
% 53.07/8.37 % (2728109)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.07/8.37 % (2728109)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.07/8.37 % (2728109)CaDiCaL version: 2.1.3
% 53.07/8.37 % (2728109)Termination reason: Refutation not found, incomplete strategy
% 53.07/8.37 % (2728109)Time elapsed: 0.081 s
% 53.07/8.37 % (2728109)Peak memory usage: 89 MB
% 53.07/8.37 % (2728109)Instructions burned: 139 (million)
% 53.07/8.37 % (2728111)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=454030397:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2954 on theBenchmark for (2954ds/2942Mi)
% 53.07/8.37 % (2728109)------------------------------
% 53.07/8.37 % (2728109)------------------------------
% 53.07/8.37 % (2728102)Instruction limit reached!
% 53.07/8.37 % (2728102)------------------------------
% 53.07/8.37 % (2728102)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.07/8.37 % (2728102)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.07/8.37 % (2728102)CaDiCaL version: 2.1.3
% 53.07/8.37 % (2728102)Termination reason: Instruction limit
% 53.07/8.37 % (2728102)Termination phase: Saturation
% 53.07/8.37 % (2728102)Time elapsed: 1.313 s
% 53.07/8.37 % (2728102)Peak memory usage: 134 MB
% 53.07/8.37 % (2728102)Instructions burned: 1998 (million)
% 53.07/8.37 % (2728113)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=3702044810:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2951 on theBenchmark for (2951ds/6922Mi)
% 53.07/8.37 % (2728114)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=2529639414:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2951 on theBenchmark for (2951ds/596Mi)
% 53.07/8.37 % (2728114)Refutation not found, incomplete strategy
% 53.07/8.37 % (2728114)------------------------------
% 53.07/8.37 % (2728114)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.07/8.37 % (2728114)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.07/8.37 % (2728114)CaDiCaL version: 2.1.3
% 53.07/8.37 % (2728114)Termination reason: Refutation not found, incomplete strategy
% 53.07/8.37 % (2728114)Time elapsed: 0.002 s
% 53.07/8.37 % (2728114)Peak memory usage: 87 MB
% 53.07/8.37 % (2728114)Instructions burned: 2 (million)
% 53.07/8.37 % (2728105)Instruction limit reached!
% 53.07/8.37 % (2728105)------------------------------
% 53.07/8.37 % (2728105)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.07/8.37 % (2728105)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.07/8.37 % (2728105)CaDiCaL version: 2.1.3
% 53.07/8.37 % (2728105)Termination reason: Instruction limit
% 53.07/8.37 % (2728105)Termination phase: Saturation
% 53.07/8.37 % (2728105)Time elapsed: 1.262 s
% 53.07/8.37 % (2728105)Peak memory usage: 131 MB
% 53.07/8.37 % (2728105)Instructions burned: 2089 (million)
% 53.07/8.37 % (2728117)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=4077883715:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2950 on theBenchmark for (2950ds/4123Mi)
% 53.07/8.37 % (2728114)------------------------------
% 53.07/8.37 % (2728114)------------------------------
% 53.07/8.37 % (2728119)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=796744036:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2947 on theBenchmark for (2947ds/16411Mi)
% 53.07/8.37 % (2728111)Instruction limit reached!
% 53.07/8.37 % (2728111)------------------------------
% 53.07/8.37 % (2728111)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.07/8.37 % (2728111)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.07/8.37 % (2728111)CaDiCaL version: 2.1.3
% 53.07/8.37 % (2728111)Termination reason: Instruction limit
% 53.07/8.37 % (2728111)Termination phase: Saturation
% 53.07/8.37 % (2728111)Time elapsed: 0.808 s
% 53.07/8.37 % (2728111)Peak memory usage: 131 MB
% 53.07/8.37 % (2728111)Instructions burned: 2945 (million)
% 53.07/8.37 % (2728100)Instruction limit reached!
% 53.07/8.37 % (2728100)------------------------------
% 53.07/8.37 % (2728100)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.07/8.37 % (2728100)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.07/8.37 % (2728100)CaDiCaL version: 2.1.3
% 53.07/8.37 % (2728100)Termination reason: Instruction limit
% 53.07/8.37 % (2728100)Termination phase: Saturation
% 53.07/8.37 % (2728100)Time elapsed: 2.055 s
% 53.07/8.37 % (2728100)Peak memory usage: 142 MB
% 53.07/8.37 % (2728100)Instructions burned: 2990 (million)
% 53.07/8.37 % (2728113)Refutation not found, incomplete strategy
% 53.07/8.37 % (2728113)------------------------------
% 53.07/8.37 % (2728113)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.07/8.37 % (2728113)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.07/8.37 % (2728113)CaDiCaL version: 2.1.3
% 53.07/8.37 % (2728113)Termination reason: Refutation not found, incomplete strategy
% 53.07/8.37 % (2728113)Time elapsed: 0.575 s
% 53.07/8.37 % (2728113)Peak memory usage: 127 MB
% 53.07/8.37 % (2728113)Instructions burned: 866 (million)
% 53.07/8.37 % (2728122)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=332083719:st=3:cond=fast:i=1722:sd=2:ss=included:fsd=on_2945 on theBenchmark for (2945ds/1722Mi)
% 53.07/8.37 % (2728121)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=1931431049:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2945 on theBenchmark for (2945ds/1670Mi)
% 53.07/8.37 % (2728113)------------------------------
% 53.07/8.37 % (2728113)------------------------------
% 53.07/8.37 % (2728125)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=2788371919:cts=off:cond=on:i=9530:bs=on:fsd=on_2943 on theBenchmark for (2943ds/9530Mi)
% 53.07/8.37 % (2728122)Instruction limit reached!
% 53.07/8.37 % (2728122)------------------------------
% 53.07/8.37 % (2728122)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.07/8.37 % (2728122)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.07/8.37 % (2728122)CaDiCaL version: 2.1.3
% 53.07/8.37 % (2728122)Termination reason: Instruction limit
% 53.07/8.37 % (2728122)Termination phase: Saturation
% 53.07/8.37 % (2728122)Time elapsed: 0.880 s
% 53.07/8.37 % (2728122)Peak memory usage: 135 MB
% 53.07/8.37 % (2728122)Instructions burned: 1724 (million)
% 53.07/8.37 % (2728121)Instruction limit reached!
% 53.07/8.37 % (2728121)------------------------------
% 53.07/8.37 % (2728121)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.07/8.37 % (2728121)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.07/8.37 % (2728121)CaDiCaL version: 2.1.3
% 53.07/8.37 % (2728121)Termination reason: Instruction limit
% 53.07/8.37 % (2728121)Termination phase: Saturation
% 53.07/8.37 % (2728121)Time elapsed: 0.990 s
% 53.07/8.37 % (2728121)Peak memory usage: 133 MB
% 53.07/8.37 % (2728121)Instructions burned: 1670 (million)
% 53.07/8.37 % (2728127)lrs+10_1_ncem=casc2026/models/loop4.pt:sil=64000:npcc=on:sp=occurrence:random_seed=3857812671:st=2:i=4495:sd=10:ss=included_2935 on theBenchmark for (2935ds/4495Mi)
% 53.07/8.37 % (2728129)lrs+1002_1_sfv=off:ncem=casc2026/models/loop8.pt:sil=64000:tgt=ground:npcc=on:sp=reverse_arity:spb=non_intro:s2agt=16:random_seed=3166701811:cond=fast:i=4920:s2at=1.9:kws=inv_frequency:av=off:er=filter_2933 on theBenchmark for (2933ds/4920Mi)
% 53.07/8.37 % (2728119)First to succeed.
% 53.07/8.37 % (2728119)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-2728032"
% 53.07/8.37 % SZS status Satisfiable for theBenchmark
% 53.07/8.37 % SZS output start Saturation.
% See solution above
% 53.75/8.56 % SZS output start Definitions and Model Updates.
% 53.75/8.56 % SZS output end Definitions and Model Updates.
% 53.75/8.56 % (2728119)------------------------------
% 53.75/8.56 % (2728119)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 53.75/8.56 % (2728119)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 53.75/8.56 % (2728119)CaDiCaL version: 2.1.3
% 53.75/8.56 % (2728119)Termination reason: Satisfiable
% 53.75/8.56 % (2728119)Time elapsed: 1.919 s
% 53.75/8.56 % (2728119)Peak memory usage: 142 MB
% 53.75/8.56 % (2728119)Instructions burned: 2762 (million)
% 53.75/8.56 % (2728119)------------------------------
% 53.75/8.56 % (2728119)------------------------------
% 53.75/8.56 % (2728032)Success in time 7.518 s
% 53.75/8.56 % Vampire exiting
%------------------------------------------------------------------------------