%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP129-1.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% Computer : n020.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 10:12:58 AM UTC 2026
% Result : Satisfiable 46.72s 7.47s
% Output : Saturation 47.36s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u46,negated_conjecture,
product(e_5,e_5,e_5) ).
cnf(u53,negated_conjecture,
~ product(e_5,e_4,e_5) ).
cnf(u57,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_5,e_1)
| product(e_4,X0,e_4)
| product(e_4,X0,e_3)
| product(e_4,X0,e_2)
| product(e_4,X0,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_4)
| product(X0,e_5,e_3) ) ).
cnf(u61,negated_conjecture,
~ product(e_5,e_3,e_5) ).
cnf(u65,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_5,e_1)
| product(e_3,X0,e_4)
| product(e_3,X0,e_3)
| product(e_3,X0,e_2)
| product(e_3,X0,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_4)
| product(X0,e_5,e_3) ) ).
cnf(u69,negated_conjecture,
~ product(e_5,e_2,e_5) ).
cnf(u73,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_5,e_1)
| product(e_2,X0,e_4)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_4)
| product(X0,e_5,e_3) ) ).
cnf(u77,negated_conjecture,
~ product(e_5,e_1,e_5) ).
cnf(u81,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_5,e_1)
| product(e_1,X0,e_4)
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_4)
| product(X0,e_5,e_3) ) ).
cnf(u92,negated_conjecture,
~ product(e_2,e_5,e_4) ).
cnf(u97,negated_conjecture,
product(e_2,e_5,e_3) ).
cnf(u100,negated_conjecture,
~ product(e_2,e_5,e_2) ).
cnf(u104,negated_conjecture,
~ product(e_2,e_5,e_1) ).
cnf(u116,negated_conjecture,
~ product(e_4,e_5,e_4) ).
cnf(u120,negated_conjecture,
~ product(e_4,e_5,e_3) ).
cnf(u124,negated_conjecture,
~ product(e_4,e_5,e_2) ).
cnf(u129,negated_conjecture,
product(e_4,e_5,e_1) ).
cnf(u153,negated_conjecture,
product(e_5,e_2,e_4) ).
cnf(u156,negated_conjecture,
~ product(e_5,e_2,e_3) ).
cnf(u160,negated_conjecture,
~ product(e_5,e_2,e_2) ).
cnf(u164,negated_conjecture,
~ product(e_5,e_2,e_1) ).
cnf(u220,negated_conjecture,
product(e_3,e_5,e_4) ).
cnf(u223,negated_conjecture,
~ product(e_3,e_5,e_3) ).
cnf(u227,negated_conjecture,
~ product(e_3,e_5,e_2) ).
cnf(u231,negated_conjecture,
~ product(e_3,e_5,e_1) ).
cnf(u236,negated_conjecture,
~ product(e_1,e_5,e_4) ).
cnf(u240,negated_conjecture,
~ product(e_1,e_5,e_3) ).
cnf(u245,negated_conjecture,
product(e_1,e_5,e_2) ).
cnf(u248,negated_conjecture,
~ product(e_1,e_5,e_1) ).
cnf(u290,negated_conjecture,
~ product(e_5,e_3,e_4) ).
cnf(u294,negated_conjecture,
~ product(e_5,e_3,e_3) ).
cnf(u298,negated_conjecture,
~ product(e_5,e_3,e_2) ).
cnf(u303,negated_conjecture,
product(e_5,e_3,e_1) ).
cnf(u329,negated_conjecture,
~ product(e_4,e_5,e_5) ).
cnf(u333,negated_conjecture,
~ product(e_2,e_4,e_4) ).
cnf(u337,negated_conjecture,
~ product(e_2,e_4,e_3) ).
cnf(u341,negated_conjecture,
~ product(e_2,e_4,e_2) ).
cnf(u346,negated_conjecture,
product(e_2,e_4,e_1) ).
cnf(u357,negated_conjecture,
~ product(e_3,e_5,e_5) ).
cnf(u361,negated_conjecture,
~ product(e_2,e_3,e_4) ).
cnf(u365,negated_conjecture,
~ product(e_2,e_3,e_3) ).
cnf(u369,negated_conjecture,
~ product(e_2,e_3,e_2) ).
cnf(u373,negated_conjecture,
~ product(e_2,e_3,e_1) ).
cnf(u385,negated_conjecture,
~ product(e_2,e_5,e_5) ).
cnf(u389,negated_conjecture,
~ product(e_2,e_2,e_4) ).
cnf(u393,negated_conjecture,
~ product(e_2,e_2,e_3) ).
cnf(u398,negated_conjecture,
product(e_2,e_2,e_2) ).
cnf(u401,negated_conjecture,
~ product(e_2,e_2,e_1) ).
cnf(u413,negated_conjecture,
~ product(e_1,e_5,e_5) ).
cnf(u418,negated_conjecture,
product(e_2,e_1,e_4) ).
cnf(u421,negated_conjecture,
~ product(e_2,e_1,e_3) ).
cnf(u425,negated_conjecture,
~ product(e_2,e_1,e_2) ).
cnf(u429,negated_conjecture,
~ product(e_2,e_1,e_1) ).
cnf(u438,negated_conjecture,
~ product(e_5,e_4,e_4) ).
cnf(u442,negated_conjecture,
~ product(e_5,e_4,e_3) ).
cnf(u447,negated_conjecture,
product(e_5,e_4,e_2) ).
cnf(u450,negated_conjecture,
~ product(e_5,e_4,e_1) ).
cnf(u483,negated_conjecture,
~ product(e_3,e_4,e_4) ).
cnf(u487,negated_conjecture,
~ product(e_3,e_4,e_3) ).
cnf(u491,negated_conjecture,
~ product(e_3,e_4,e_2) ).
cnf(u495,negated_conjecture,
~ product(e_3,e_4,e_1) ).
cnf(u507,negated_conjecture,
~ product(e_3,e_3,e_4) ).
cnf(u512,negated_conjecture,
product(e_3,e_3,e_3) ).
cnf(u515,negated_conjecture,
~ product(e_3,e_3,e_2) ).
cnf(u519,negated_conjecture,
~ product(e_3,e_3,e_1) ).
cnf(u531,negated_conjecture,
~ product(e_3,e_2,e_4) ).
cnf(u535,negated_conjecture,
~ product(e_3,e_2,e_3) ).
cnf(u539,negated_conjecture,
~ product(e_3,e_2,e_2) ).
cnf(u544,negated_conjecture,
product(e_3,e_2,e_1) ).
cnf(u555,negated_conjecture,
~ product(e_3,e_1,e_4) ).
cnf(u559,negated_conjecture,
~ product(e_3,e_1,e_3) ).
cnf(u564,negated_conjecture,
product(e_3,e_1,e_2) ).
cnf(u567,negated_conjecture,
~ product(e_3,e_1,e_1) ).
cnf(u585,negated_conjecture,
~ product(e_5,e_5,e_4) ).
cnf(u589,negated_conjecture,
~ product(e_5,e_5,e_3) ).
cnf(u593,negated_conjecture,
~ product(e_5,e_5,e_2) ).
cnf(u597,negated_conjecture,
~ product(e_5,e_5,e_1) ).
cnf(u734,negated_conjecture,
~ product(e_5,e_1,e_4) ).
cnf(u739,negated_conjecture,
product(e_5,e_1,e_3) ).
cnf(u742,negated_conjecture,
~ product(e_5,e_1,e_2) ).
cnf(u746,negated_conjecture,
~ product(e_5,e_1,e_1) ).
cnf(u894,negated_conjecture,
~ product(e_3,e_3,e_5) ).
cnf(u899,negated_conjecture,
product(e_1,e_3,e_4) ).
cnf(u902,negated_conjecture,
~ product(e_1,e_3,e_3) ).
cnf(u906,negated_conjecture,
~ product(e_1,e_3,e_2) ).
cnf(u910,negated_conjecture,
~ product(e_1,e_3,e_1) ).
cnf(u932,negated_conjecture,
product(e_4,e_1,e_5) ).
cnf(u943,negated_conjecture,
~ product(e_2,e_1,e_5) ).
cnf(u986,negated_conjecture,
product(e_1,e_2,e_5) ).
cnf(u989,negated_conjecture,
~ product(e_1,e_1,e_4) ).
cnf(u993,negated_conjecture,
~ product(e_1,e_1,e_3) ).
cnf(u997,negated_conjecture,
~ product(e_1,e_1,e_2) ).
cnf(u1002,negated_conjecture,
product(e_1,e_1,e_1) ).
cnf(u1013,negated_conjecture,
~ product(e_4,e_2,e_5) ).
cnf(u1017,negated_conjecture,
~ product(e_1,e_4,e_4) ).
cnf(u1022,negated_conjecture,
product(e_1,e_4,e_3) ).
cnf(u1025,negated_conjecture,
~ product(e_1,e_4,e_2) ).
cnf(u1029,negated_conjecture,
~ product(e_1,e_4,e_1) ).
cnf(u1041,negated_conjecture,
~ product(e_2,e_2,e_5) ).
cnf(u1045,negated_conjecture,
~ product(e_1,e_2,e_4) ).
cnf(u1049,negated_conjecture,
~ product(e_1,e_2,e_3) ).
cnf(u1053,negated_conjecture,
~ product(e_1,e_2,e_2) ).
cnf(u1057,negated_conjecture,
~ product(e_1,e_2,e_1) ).
cnf(u1199,negated_conjecture,
~ product(e_4,e_2,e_4) ).
cnf(u1204,negated_conjecture,
product(e_4,e_2,e_3) ).
cnf(u1207,negated_conjecture,
~ product(e_4,e_2,e_2) ).
cnf(u1211,negated_conjecture,
~ product(e_4,e_2,e_1) ).
cnf(u1223,negated_conjecture,
~ product(e_4,e_4,e_5) ).
cnf(u1250,negated_conjecture,
product(e_4,e_4,e_4) ).
cnf(u1253,negated_conjecture,
~ product(e_4,e_4,e_3) ).
cnf(u1257,negated_conjecture,
~ product(e_4,e_4,e_2) ).
cnf(u1261,negated_conjecture,
~ product(e_4,e_4,e_1) ).
cnf(u1274,negated_conjecture,
product(e_3,e_4,e_5) ).
cnf(u1277,negated_conjecture,
~ product(e_4,e_3,e_4) ).
cnf(u1281,negated_conjecture,
~ product(e_4,e_3,e_3) ).
cnf(u1286,negated_conjecture,
product(e_4,e_3,e_2) ).
cnf(u1289,negated_conjecture,
~ product(e_4,e_3,e_1) ).
cnf(u1366,negated_conjecture,
~ product(e_2,e_4,e_5) ).
cnf(u1378,negated_conjecture,
~ product(e_4,e_3,e_5) ).
cnf(u1524,negated_conjecture,
~ product(e_3,e_1,e_5) ).
cnf(u1547,negated_conjecture,
~ product(e_3,e_2,e_5) ).
cnf(u1593,negated_conjecture,
~ product(e_4,e_1,e_4) ).
cnf(u1597,negated_conjecture,
~ product(e_4,e_1,e_3) ).
cnf(u1601,negated_conjecture,
~ product(e_4,e_1,e_2) ).
cnf(u1605,negated_conjecture,
~ product(e_4,e_1,e_1) ).
cnf(u1617,negated_conjecture,
~ product(e_1,e_4,e_5) ).
cnf(u1850,negated_conjecture,
product(e_2,e_3,e_5) ).
cnf(u2355,negated_conjecture,
~ product(e_1,e_3,e_5) ).
cnf(u3065,negated_conjecture,
~ product(e_1,e_1,e_5) ).
cnf(u7121,axiom,
( ~ group_element(X1)
| equalish(X0,e_3)
| product(e_3,X1,e_1)
| product(e_3,X1,e_2)
| product(e_3,X1,e_3)
| product(e_3,X1,e_4)
| ~ product(X0,X1,e_5) ) ).
cnf(u6810,negated_conjecture,
( ~ product(e_5,X0,e_2)
| equalish(X0,e_4) ) ).
cnf(u6804,negated_conjecture,
( ~ product(X0,e_1,e_3)
| equalish(X0,e_5) ) ).
cnf(u6926,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| product(X0,e_3,e_4)
| product(e_5,X0,e_4) ) ).
cnf(u7137,axiom,
( ~ group_element(X1)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4)
| equalish(X1,X0)
| ~ group_element(X0)
| product(e_1,X1,e_1)
| product(e_1,X1,e_2)
| product(e_1,X1,e_3)
| product(e_1,X1,e_4) ) ).
cnf(u6849,negated_conjecture,
( ~ product(X0,e_1,e_4)
| product(e_4,X0,e_3) ) ).
cnf(u3344,negated_conjecture,
equalish(e_3,e_3) ).
cnf(u6879,negated_conjecture,
( ~ product(e_1,e_3,X0)
| equalish(X0,e_4) ) ).
cnf(u6949,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_5)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4) ) ).
cnf(u32,axiom,
( ~ group_element(X0)
| equalish(X2,e_5)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ product(X0,X1,X2) ) ).
cnf(u6913,negated_conjecture,
( ~ product(e_2,X0,e_5)
| equalish(X0,e_3) ) ).
cnf(u7112,axiom,
( ~ group_element(X1)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| equalish(X1,X0)
| ~ group_element(X0)
| product(e_5,X1,e_1)
| product(e_5,X1,e_2)
| product(e_5,X1,e_3)
| product(e_5,X1,e_4) ) ).
cnf(u6812,negated_conjecture,
( ~ product(X0,e_5,e_4)
| product(e_4,X0,e_2) ) ).
cnf(u6905,negated_conjecture,
( ~ product(X0,e_3,e_5)
| product(e_5,X0,e_4) ) ).
cnf(u3649,negated_conjecture,
equalish(e_2,e_2) ).
cnf(u2578,negated_conjecture,
( ~ product(X0,e_1,e_5)
| product(e_5,X0,e_2) ) ).
cnf(u6331,negated_conjecture,
( ~ product(X0,e_5,e_1)
| equalish(X0,e_4) ) ).
cnf(u7122,axiom,
( ~ group_element(X1)
| equalish(X0,e_4)
| product(e_4,X1,e_1)
| product(e_4,X1,e_2)
| product(e_4,X1,e_3)
| product(e_4,X1,e_4)
| ~ product(X0,X1,e_5) ) ).
cnf(u7119,axiom,
( ~ group_element(X1)
| equalish(X0,e_1)
| product(e_1,X1,e_1)
| product(e_1,X1,e_2)
| product(e_1,X1,e_3)
| product(e_1,X1,e_4)
| ~ product(X0,X1,e_5) ) ).
cnf(u6800,negated_conjecture,
( ~ product(e_2,e_2,X0)
| equalish(X0,e_2) ) ).
cnf(u6932,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| product(X0,e_2,e_4)
| equalish(X0,e_1) ) ).
cnf(u7115,axiom,
( ~ group_element(X1)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| equalish(X1,X0)
| ~ group_element(X0)
| product(e_2,X1,e_1)
| product(e_2,X1,e_2)
| product(e_2,X1,e_3)
| product(e_2,X1,e_4) ) ).
cnf(u6836,negated_conjecture,
( ~ product(e_4,X0,e_4)
| equalish(X0,e_4) ) ).
cnf(u7135,negated_conjecture,
( ~ 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)
| equalish(e_2,X0) ) ).
cnf(u7134,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_3)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4) ) ).
cnf(u6880,negated_conjecture,
( ~ product(X0,e_1,e_3)
| product(e_3,X0,e_4) ) ).
cnf(u6806,negated_conjecture,
( ~ product(e_5,e_1,X0)
| equalish(X0,e_3) ) ).
cnf(u6835,negated_conjecture,
( ~ product(X0,e_4,e_4)
| equalish(X0,e_4) ) ).
cnf(u1793,negated_conjecture,
equalish(e_1,e_1) ).
cnf(u6820,negated_conjecture,
( ~ product(e_5,X0,e_1)
| 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(u6914,negated_conjecture,
( ~ product(e_2,e_3,X0)
| equalish(X0,e_5) ) ).
cnf(e_5_is_not_e_4,axiom,
~ equalish(e_5,e_4) ).
cnf(u6903,negated_conjecture,
( ~ product(e_3,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(product_right_cancellation,axiom,
( ~ product(X0,X3,X2)
| ~ product(X0,X1,X2)
| equalish(X1,X3) ) ).
cnf(u6838,negated_conjecture,
( ~ product(X0,e_4,e_4)
| product(e_4,X0,e_4) ) ).
cnf(u6414,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_4,e_1)
| product(X0,e_4,e_2)
| product(X0,e_4,e_3)
| product(X0,e_4,e_4)
| product(e_5,X0,e_1) ) ).
cnf(u6902,negated_conjecture,
( ~ product(X0,e_5,e_4)
| equalish(X0,e_3) ) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2) ).
cnf(e_5_is_not_e_1,axiom,
~ equalish(e_5,e_1) ).
cnf(e_4_is_not_e_5,axiom,
~ equalish(e_4,e_5) ).
cnf(u6909,negated_conjecture,
( ~ product(e_3,e_1,X0)
| equalish(X0,e_2) ) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2) ).
cnf(element_2,axiom,
group_element(e_2) ).
cnf(element_1,axiom,
group_element(e_1) ).
cnf(u6826,negated_conjecture,
( ~ product(e_3,e_3,X0)
| equalish(X0,e_3) ) ).
cnf(u7149,axiom,
( ~ group_element(X1)
| equalish(X0,e_5)
| product(e_4,X1,e_1)
| product(e_4,X1,e_2)
| product(e_4,X1,e_3)
| product(e_4,X1,e_4)
| ~ product(e_4,X1,X0) ) ).
cnf(u6853,negated_conjecture,
( ~ product(e_1,X0,e_5)
| equalish(X0,e_2) ) ).
cnf(u6807,negated_conjecture,
( ~ product(X0,e_5,e_1)
| product(e_1,X0,e_3) ) ).
cnf(u6872,negated_conjecture,
( ~ product(X0,e_1,e_5)
| equalish(X0,e_4) ) ).
cnf(u6852,negated_conjecture,
( ~ product(X0,e_2,e_5)
| equalish(X0,e_1) ) ).
cnf(u6848,negated_conjecture,
( ~ product(e_1,e_4,X0)
| equalish(X0,e_3) ) ).
cnf(u6875,negated_conjecture,
( ~ product(X0,e_4,e_1)
| product(e_1,X0,e_5) ) ).
cnf(u7118,axiom,
( ~ group_element(X1)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| equalish(X1,X0)
| ~ group_element(X0)
| product(e_3,X1,e_1)
| product(e_3,X1,e_2)
| product(e_3,X1,e_3)
| product(e_3,X1,e_4) ) ).
cnf(u6798,negated_conjecture,
( ~ product(X0,e_2,e_2)
| equalish(X0,e_2) ) ).
cnf(u6675,negated_conjecture,
( ~ product(e_4,X0,e_3)
| equalish(X0,e_2) ) ).
cnf(u7209,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_4)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4) ) ).
cnf(u7084,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_2)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4) ) ).
cnf(u6944,negated_conjecture,
( ~ product(e_3,e_4,X0)
| equalish(X0,e_5) ) ).
cnf(u6960,negated_conjecture,
( ~ product(X0,e_4,e_3)
| product(e_3,X0,e_2) ) ).
cnf(u6616,negated_conjecture,
( ~ product(X0,e_2,e_1)
| product(e_1,X0,e_4) ) ).
cnf(u6192,negated_conjecture,
( ~ product(e_2,e_5,X0)
| equalish(X0,e_3) ) ).
cnf(u6333,negated_conjecture,
( ~ product(e_4,e_5,X0)
| equalish(X0,e_1) ) ).
cnf(u34,axiom,
( ~ group_element(X2)
| equalish(X0,X2)
| ~ group_element(X1)
| product(X2,X1,e_1)
| product(X2,X1,e_2)
| product(X2,X1,e_3)
| product(X2,X1,e_4)
| ~ product(X0,X1,e_5) ) ).
cnf(u7150,axiom,
( ~ group_element(X1)
| equalish(X0,e_5)
| product(e_5,X1,e_1)
| product(e_5,X1,e_2)
| product(e_5,X1,e_3)
| product(e_5,X1,e_4)
| ~ product(e_5,X1,X0) ) ).
cnf(element_4,axiom,
group_element(e_4) ).
cnf(u6193,negated_conjecture,
( ~ product(X0,e_2,e_5)
| product(e_5,X0,e_3) ) ).
cnf(u2860,negated_conjecture,
equalish(e_5,e_5) ).
cnf(u7131,axiom,
( ~ group_element(X1)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4)
| equalish(X1,X0)
| ~ group_element(X0)
| product(e_4,X1,e_1)
| product(e_4,X1,e_2)
| product(e_4,X1,e_3)
| product(e_4,X1,e_4) ) ).
cnf(u7147,axiom,
( ~ group_element(X1)
| equalish(X0,e_5)
| product(e_2,X1,e_1)
| product(e_2,X1,e_2)
| product(e_2,X1,e_3)
| product(e_2,X1,e_4)
| ~ product(e_2,X1,X0) ) ).
cnf(u6332,negated_conjecture,
( ~ product(e_4,X0,e_1)
| equalish(X0,e_5) ) ).
cnf(u7108,axiom,
( ~ product(e_4,X0,e_5)
| ~ group_element(X1)
| product(e_4,X1,e_1)
| product(e_4,X1,e_2)
| product(e_4,X1,e_3)
| product(e_4,X1,e_4)
| equalish(X0,X1) ) ).
cnf(u7113,negated_conjecture,
( ~ 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)
| equalish(e_3,X0) ) ).
cnf(u6868,negated_conjecture,
( ~ product(X0,e_1,e_1)
| product(e_1,X0,e_1) ) ).
cnf(u6613,negated_conjecture,
( ~ product(X0,e_1,e_4)
| equalish(X0,e_2) ) ).
cnf(u6986,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| product(X0,e_3,e_4)
| equalish(X0,e_2) ) ).
cnf(u6896,negated_conjecture,
( ~ product(X0,e_5,e_5)
| equalish(X0,e_5) ) ).
cnf(u6910,negated_conjecture,
( ~ product(X0,e_3,e_1)
| product(e_1,X0,e_2) ) ).
cnf(u2577,negated_conjecture,
( ~ product(e_1,e_5,X0)
| equalish(X0,e_2) ) ).
cnf(u6610,negated_conjecture,
( ~ product(e_5,e_2,X0)
| equalish(X0,e_4) ) ).
cnf(u7109,axiom,
( ~ product(e_5,X0,e_5)
| ~ group_element(X1)
| product(e_5,X1,e_1)
| product(e_5,X1,e_2)
| product(e_5,X1,e_3)
| product(e_5,X1,e_4)
| equalish(X0,X1) ) ).
cnf(u6866,negated_conjecture,
( ~ product(e_1,X0,e_1)
| equalish(X0,e_1) ) ).
cnf(u7003,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_4,e_1)
| product(X0,e_4,e_2)
| product(X0,e_4,e_3)
| product(X0,e_4,e_4)
| equalish(X0,e_3) ) ).
cnf(u6908,negated_conjecture,
( ~ product(e_3,X0,e_2)
| equalish(X0,e_1) ) ).
cnf(u6799,negated_conjecture,
( ~ product(e_2,X0,e_2)
| equalish(X0,e_2) ) ).
cnf(u6789,negated_conjecture,
( ~ product(e_2,e_4,X0)
| equalish(X0,e_1) ) ).
cnf(u6904,negated_conjecture,
( ~ product(e_3,e_5,X0)
| equalish(X0,e_4) ) ).
cnf(u6907,negated_conjecture,
( ~ product(X0,e_1,e_2)
| equalish(X0,e_3) ) ).
cnf(u6825,negated_conjecture,
( ~ product(e_3,X0,e_3)
| equalish(X0,e_3) ) ).
cnf(u6614,negated_conjecture,
( ~ product(e_2,X0,e_4)
| equalish(X0,e_1) ) ).
cnf(u6190,negated_conjecture,
( ~ product(X0,e_5,e_3)
| equalish(X0,e_2) ) ).
cnf(u6790,negated_conjecture,
( ~ product(X0,e_2,e_4)
| product(e_4,X0,e_1) ) ).
cnf(product_left_cancellation,axiom,
( ~ product(X3,X1,X2)
| ~ product(X0,X1,X2)
| equalish(X0,X3) ) ).
cnf(u2575,negated_conjecture,
( ~ product(X0,e_5,e_2)
| equalish(X0,e_1) ) ).
cnf(u6680,negated_conjecture,
( ~ product(X0,e_2,e_1)
| equalish(X0,e_3) ) ).
cnf(u2576,negated_conjecture,
( ~ product(e_1,X0,e_2)
| equalish(X0,e_5) ) ).
cnf(u33,axiom,
( ~ group_element(X0)
| equalish(X1,X2)
| ~ group_element(X2)
| product(X0,X2,e_1)
| product(X0,X2,e_2)
| product(X0,X2,e_3)
| product(X0,X2,e_4)
| ~ product(X0,X1,e_5) ) ).
cnf(product_total_function2,axiom,
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| equalish(X2,X3) ) ).
cnf(qg3,negated_conjecture,
( ~ product(X1,X2,X3)
| ~ product(X0,X1,X2)
| product(X2,X0,X3) ) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4) ).
cnf(u6959,negated_conjecture,
( ~ product(e_4,e_3,X0)
| equalish(X0,e_2) ) ).
cnf(u780,negated_conjecture,
equalish(e_4,e_4) ).
cnf(e_5_is_not_e_2,axiom,
~ equalish(e_5,e_2) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1) ).
cnf(e_1_is_not_e_5,axiom,
~ equalish(e_1,e_5) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4) ).
cnf(u7129,negated_conjecture,
( ~ group_element(X0)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4)
| equalish(e_1,X0) ) ).
cnf(element_3,axiom,
group_element(e_3) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2) ).
cnf(element_5,axiom,
group_element(e_5) ).
cnf(u6958,negated_conjecture,
( ~ product(e_4,X0,e_2)
| equalish(X0,e_3) ) ).
cnf(u6191,negated_conjecture,
( ~ product(e_2,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u6898,negated_conjecture,
( ~ product(e_5,e_5,X0)
| equalish(X0,e_5) ) ).
cnf(u6874,negated_conjecture,
( ~ product(e_4,e_1,X0)
| equalish(X0,e_5) ) ).
cnf(u6942,negated_conjecture,
( ~ product(X0,e_4,e_5)
| equalish(X0,e_3) ) ).
cnf(u6897,negated_conjecture,
( ~ product(e_5,X0,e_5)
| equalish(X0,e_5) ) ).
cnf(u7116,negated_conjecture,
( ~ group_element(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)
| equalish(e_4,X0) ) ).
cnf(u7107,axiom,
( ~ product(e_3,X0,e_5)
| ~ group_element(X1)
| product(e_3,X1,e_1)
| product(e_3,X1,e_2)
| product(e_3,X1,e_3)
| product(e_3,X1,e_4)
| equalish(X0,X1) ) ).
cnf(u6822,negated_conjecture,
( ~ product(X0,e_5,e_3)
| product(e_3,X0,e_1) ) ).
cnf(u6873,negated_conjecture,
( ~ product(e_4,X0,e_5)
| equalish(X0,e_1) ) ).
cnf(u6945,negated_conjecture,
( ~ product(X0,e_3,e_4)
| product(e_4,X0,e_5) ) ).
cnf(u6847,negated_conjecture,
( ~ product(e_1,X0,e_3)
| equalish(X0,e_4) ) ).
cnf(u6811,negated_conjecture,
( ~ product(e_5,e_4,X0)
| equalish(X0,e_2) ) ).
cnf(u6827,negated_conjecture,
( ~ product(X0,e_3,e_3)
| product(e_3,X0,e_3) ) ).
cnf(u7110,negated_conjecture,
( ~ group_element(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)
| equalish(e_5,X0) ) ).
cnf(u6801,negated_conjecture,
( ~ product(X0,e_2,e_2)
| product(e_2,X0,e_2) ) ).
cnf(u6854,negated_conjecture,
( ~ product(e_1,e_2,X0)
| equalish(X0,e_5) ) ).
cnf(u6919,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| product(e_5,X0,e_5) ) ).
cnf(u6878,negated_conjecture,
( ~ product(e_1,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(u6334,negated_conjecture,
( ~ product(X0,e_4,e_5)
| product(e_5,X0,e_1) ) ).
cnf(u6899,negated_conjecture,
( ~ product(X0,e_5,e_5)
| product(e_5,X0,e_5) ) ).
cnf(u6608,negated_conjecture,
( ~ product(X0,e_2,e_4)
| equalish(X0,e_5) ) ).
cnf(u6787,negated_conjecture,
( ~ product(X0,e_4,e_1)
| equalish(X0,e_2) ) ).
cnf(u6615,negated_conjecture,
( ~ product(e_2,e_1,X0)
| equalish(X0,e_4) ) ).
cnf(u7217,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_1)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4) ) ).
cnf(u7123,axiom,
( ~ group_element(X1)
| equalish(X0,e_5)
| product(e_5,X1,e_1)
| product(e_5,X1,e_2)
| product(e_5,X1,e_3)
| product(e_5,X1,e_4)
| ~ product(X0,X1,e_5) ) ).
cnf(u7146,axiom,
( ~ group_element(X1)
| equalish(X0,e_5)
| product(e_1,X1,e_1)
| product(e_1,X1,e_2)
| product(e_1,X1,e_3)
| product(e_1,X1,e_4)
| ~ product(e_1,X1,X0) ) ).
cnf(u6837,negated_conjecture,
( ~ product(e_4,e_4,X0)
| equalish(X0,e_4) ) ).
cnf(u6276,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| product(X0,e_2,e_4)
| product(e_5,X0,e_3) ) ).
cnf(u6681,negated_conjecture,
( ~ product(e_3,X0,e_1)
| equalish(X0,e_2) ) ).
cnf(u6611,negated_conjecture,
( ~ product(X0,e_5,e_2)
| product(e_2,X0,e_4) ) ).
cnf(u6682,negated_conjecture,
( ~ product(e_3,e_2,X0)
| equalish(X0,e_1) ) ).
cnf(u6957,negated_conjecture,
( ~ product(X0,e_3,e_2)
| equalish(X0,e_4) ) ).
cnf(u6788,negated_conjecture,
( ~ product(e_2,X0,e_1)
| equalish(X0,e_4) ) ).
cnf(u6677,negated_conjecture,
( ~ product(X0,e_4,e_2)
| product(e_2,X0,e_3) ) ).
cnf(u37,negated_conjecture,
( ~ group_element(X1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| ~ group_element(X0)
| product(e_5,X1,e_5)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| product(X0,e_5,e_1) ) ).
cnf(u7120,axiom,
( ~ group_element(X1)
| equalish(X0,e_2)
| product(e_2,X1,e_1)
| product(e_2,X1,e_2)
| product(e_2,X1,e_3)
| product(e_2,X1,e_4)
| ~ product(X0,X1,e_5) ) ).
cnf(u6867,negated_conjecture,
( ~ product(e_1,e_1,X0)
| equalish(X0,e_1) ) ).
cnf(u6922,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| equalish(X0,e_5) ) ).
cnf(e_5_is_not_e_3,axiom,
~ equalish(e_5,e_3) ).
cnf(u7105,axiom,
( ~ product(e_1,X0,e_5)
| ~ group_element(X1)
| product(e_1,X1,e_1)
| product(e_1,X1,e_2)
| product(e_1,X1,e_3)
| product(e_1,X1,e_4)
| equalish(X0,X1) ) ).
cnf(u31,negated_conjecture,
( ~ product(X2,X1,X0)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| ~ group_element(X1)
| ~ group_element(X0)
| product(X0,X2,e_5) ) ).
cnf(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(u6846,negated_conjecture,
( ~ product(X0,e_4,e_3)
| equalish(X0,e_1) ) ).
cnf(u6809,negated_conjecture,
( ~ product(X0,e_4,e_2)
| equalish(X0,e_5) ) ).
cnf(u7106,axiom,
( ~ product(e_2,X0,e_5)
| ~ group_element(X1)
| product(e_2,X1,e_1)
| product(e_2,X1,e_2)
| product(e_2,X1,e_3)
| product(e_2,X1,e_4)
| equalish(X0,X1) ) ).
cnf(u6824,negated_conjecture,
( ~ product(X0,e_3,e_3)
| equalish(X0,e_3) ) ).
cnf(u6855,negated_conjecture,
( ~ product(X0,e_1,e_2)
| product(e_2,X0,e_5) ) ).
cnf(u7148,axiom,
( ~ group_element(X1)
| equalish(X0,e_5)
| product(e_3,X1,e_1)
| product(e_3,X1,e_2)
| product(e_3,X1,e_3)
| product(e_3,X1,e_4)
| ~ product(e_3,X1,X0) ) ).
cnf(u2618,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4)
| product(e_5,X0,e_2) ) ).
cnf(u6674,negated_conjecture,
( ~ product(X0,e_2,e_3)
| equalish(X0,e_4) ) ).
cnf(u6865,negated_conjecture,
( ~ product(X0,e_1,e_1)
| equalish(X0,e_1) ) ).
cnf(u6912,negated_conjecture,
( ~ product(X0,e_3,e_5)
| equalish(X0,e_2) ) ).
cnf(u6819,negated_conjecture,
( ~ product(X0,e_3,e_1)
| equalish(X0,e_5) ) ).
cnf(u6609,negated_conjecture,
( ~ product(e_5,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1) ).
cnf(u6915,negated_conjecture,
( ~ product(X0,e_2,e_3)
| product(e_3,X0,e_5) ) ).
cnf(u6821,negated_conjecture,
( ~ product(e_5,e_3,X0)
| equalish(X0,e_1) ) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3) ).
cnf(e_2_is_not_e_5,axiom,
~ equalish(e_2,e_5) ).
cnf(u7008,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4)
| equalish(X0,e_4) ) ).
cnf(u6805,negated_conjecture,
( ~ product(e_5,X0,e_3)
| equalish(X0,e_1) ) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3) ).
cnf(u6943,negated_conjecture,
( ~ product(e_3,X0,e_5)
| equalish(X0,e_4) ) ).
cnf(u6683,negated_conjecture,
( ~ product(X0,e_3,e_2)
| product(e_2,X0,e_1) ) ).
cnf(u6877,negated_conjecture,
( ~ product(X0,e_3,e_4)
| equalish(X0,e_1) ) ).
cnf(u6676,negated_conjecture,
( ~ product(e_4,e_2,X0)
| equalish(X0,e_3) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP129-1.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n020.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 09:28:49 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.38 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 9.35/2.14 % (3128509)Input is clausal, will run a generic CNF schedule.
% 9.35/2.14 % (3128516)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3412736072:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.35/2.14 % (3128514)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=3729653225:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.35/2.14 % (3128517)lrs+10_1_sil=8000:sp=occurrence:random_seed=1146481045:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.35/2.14 % (3128515)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=164692877:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.35/2.14 % (3128520)dis-21_1_sil=8000:lcm=predicate:random_seed=3879148209: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)
% 9.35/2.14 % (3128518)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=4001743165:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.35/2.14 % (3128519)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3258393551:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.35/2.14 % (3128517)Instruction limit reached!
% 9.35/2.14 % (3128517)------------------------------
% 9.35/2.14 % (3128517)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.14 % (3128517)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.14 % (3128517)CaDiCaL version: 2.1.3
% 9.35/2.14 % (3128517)Termination reason: Instruction limit
% 9.35/2.14 % (3128517)Termination phase: Saturation
% 9.35/2.14 % (3128517)Time elapsed: 0.054 s
% 9.35/2.14 % (3128517)Peak memory usage: 88 MB
% 9.35/2.14 % (3128517)Instructions burned: 107 (million)
% 9.35/2.14 % (3128518)Instruction limit reached!
% 9.35/2.14 % (3128518)------------------------------
% 9.35/2.14 % (3128518)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.14 % (3128518)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.14 % (3128518)CaDiCaL version: 2.1.3
% 9.35/2.14 % (3128518)Termination reason: Instruction limit
% 9.35/2.14 % (3128518)Termination phase: Saturation
% 9.35/2.14 % (3128518)Time elapsed: 0.056 s
% 9.35/2.14 % (3128518)Peak memory usage: 87 MB
% 9.35/2.14 % (3128518)Instructions burned: 115 (million)
% 9.35/2.14 % (3128520)Instruction limit reached!
% 9.35/2.14 % (3128520)------------------------------
% 9.35/2.14 % (3128520)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.14 % (3128520)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.14 % (3128520)CaDiCaL version: 2.1.3
% 9.35/2.14 % (3128520)Termination reason: Instruction limit
% 9.35/2.14 % (3128520)Termination phase: Saturation
% 9.35/2.14 % (3128520)Time elapsed: 0.071 s
% 9.35/2.14 % (3128520)Peak memory usage: 88 MB
% 9.35/2.14 % (3128520)Instructions burned: 119 (million)
% 9.35/2.14 % (3128519)Instruction limit reached!
% 9.35/2.14 % (3128519)------------------------------
% 9.35/2.14 % (3128519)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.14 % (3128519)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.14 % (3128519)CaDiCaL version: 2.1.3
% 9.35/2.14 % (3128519)Termination reason: Instruction limit
% 9.35/2.14 % (3128519)Termination phase: Saturation
% 9.35/2.14 % (3128519)Time elapsed: 0.106 s
% 9.35/2.14 % (3128519)Peak memory usage: 89 MB
% 9.35/2.14 % (3128519)Instructions burned: 180 (million)
% 9.35/2.14 % (3128529)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=2579930836: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)
% 9.35/2.14 % (3128528)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=1586422337:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 9.35/2.14 % (3128529)Refutation not found, incomplete strategy
% 9.35/2.14 % (3128529)------------------------------
% 9.35/2.14 % (3128529)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.35/2.14 % (3128529)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.35/2.14 % (3128529)CaDiCaL version: 2.1.3
% 13.34/2.80 % (3128529)Termination reason: Refutation not found, incomplete strategy
% 13.34/2.80 % (3128529)Time elapsed: 0.001 s
% 13.34/2.80 % (3128529)Peak memory usage: 87 MB
% 13.34/2.80 % (3128529)Instructions burned: 1 (million)
% 13.34/2.80 % (3128530)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1508444694:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 13.34/2.80 % (3128531)lrs+10_64_to=lpo:sil=8000:random_seed=972053638:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 13.34/2.80 % (3128528)Instruction limit reached!
% 13.34/2.80 % (3128528)------------------------------
% 13.34/2.80 % (3128528)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.80 % (3128528)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.80 % (3128528)CaDiCaL version: 2.1.3
% 13.34/2.80 % (3128528)Termination reason: Instruction limit
% 13.34/2.80 % (3128528)Termination phase: Saturation
% 13.34/2.80 % (3128528)Time elapsed: 0.082 s
% 13.34/2.80 % (3128528)Peak memory usage: 88 MB
% 13.34/2.80 % (3128528)Instructions burned: 144 (million)
% 13.34/2.80 % (3128530)Instruction limit reached!
% 13.34/2.80 % (3128530)------------------------------
% 13.34/2.80 % (3128530)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.80 % (3128530)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.80 % (3128530)CaDiCaL version: 2.1.3
% 13.34/2.80 % (3128530)Termination reason: Instruction limit
% 13.34/2.80 % (3128530)Termination phase: Saturation
% 13.34/2.80 % (3128530)Time elapsed: 0.113 s
% 13.34/2.80 % (3128530)Peak memory usage: 88 MB
% 13.34/2.80 % (3128530)Instructions burned: 221 (million)
% 13.34/2.80 % (3128531)Instruction limit reached!
% 13.34/2.80 % (3128531)------------------------------
% 13.34/2.80 % (3128531)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.80 % (3128531)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.80 % (3128531)CaDiCaL version: 2.1.3
% 13.34/2.80 % (3128531)Termination reason: Instruction limit
% 13.34/2.80 % (3128531)Termination phase: Saturation
% 13.34/2.80 % (3128531)Time elapsed: 0.076 s
% 13.34/2.80 % (3128531)Peak memory usage: 88 MB
% 13.34/2.80 % (3128531)Instructions burned: 127 (million)
% 13.34/2.80 % (3128529)------------------------------
% 13.34/2.80 % (3128529)------------------------------
% 13.34/2.80 % (3128536)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2320064252:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 13.34/2.80 % (3128538)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2910585836:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 13.34/2.80 % (3128537)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1836098406:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 13.34/2.80 % (3128536)Instruction limit reached!
% 13.34/2.80 % (3128536)------------------------------
% 13.34/2.80 % (3128536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.80 % (3128536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.80 % (3128536)CaDiCaL version: 2.1.3
% 13.34/2.80 % (3128536)Termination reason: Instruction limit
% 13.34/2.80 % (3128536)Termination phase: Saturation
% 13.34/2.80 % (3128536)Time elapsed: 0.071 s
% 13.34/2.80 % (3128536)Peak memory usage: 87 MB
% 13.34/2.80 % (3128536)Instructions burned: 195 (million)
% 13.34/2.80 % (3128537)Instruction limit reached!
% 13.34/2.80 % (3128537)------------------------------
% 13.34/2.80 % (3128537)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.80 % (3128537)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.80 % (3128537)CaDiCaL version: 2.1.3
% 13.34/2.80 % (3128537)Termination reason: Instruction limit
% 13.34/2.80 % (3128537)Termination phase: Saturation
% 13.34/2.80 % (3128537)Time elapsed: 0.081 s
% 13.34/2.80 % (3128537)Peak memory usage: 88 MB
% 13.34/2.80 % (3128537)Instructions burned: 158 (million)
% 13.34/2.80 % (3128515)Refutation not found, incomplete strategy
% 13.34/2.80 % (3128515)------------------------------
% 13.34/2.80 % (3128515)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.34/2.80 % (3128515)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.34/2.80 % (3128515)CaDiCaL version: 2.1.3
% 13.34/2.80 % (3128515)Termination reason: Refutation not found, incomplete strategy
% 13.34/2.80 % (3128515)Time elapsed: 0.569 s
% 13.34/2.80 % (3128515)Peak memory usage: 126 MB
% 13.34/2.80 % (3128515)Instructions burned: 858 (million)
% 20.65/3.83 % (3128540)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=2500440268:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 20.65/3.83 % (3128540)Refutation not found, incomplete strategy
% 20.65/3.83 % (3128540)------------------------------
% 20.65/3.83 % (3128540)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.83 % (3128540)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.83 % (3128540)CaDiCaL version: 2.1.3
% 20.65/3.83 % (3128540)Termination reason: Refutation not found, incomplete strategy
% 20.65/3.83 % (3128540)Time elapsed: 0.002 s
% 20.65/3.83 % (3128540)Peak memory usage: 87 MB
% 20.65/3.83 % (3128540)Instructions burned: 1 (million)
% 20.65/3.83 % (3128543)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=1388420796:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 20.65/3.83 % (3128544)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=109924329:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 20.65/3.83 % (3128543)Instruction limit reached!
% 20.65/3.83 % (3128543)------------------------------
% 20.65/3.83 % (3128543)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.83 % (3128543)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.83 % (3128543)CaDiCaL version: 2.1.3
% 20.65/3.83 % (3128543)Termination reason: Instruction limit
% 20.65/3.83 % (3128543)Termination phase: Saturation
% 20.65/3.83 % (3128543)Time elapsed: 0.065 s
% 20.65/3.83 % (3128543)Peak memory usage: 88 MB
% 20.65/3.83 % (3128543)Instructions burned: 107 (million)
% 20.65/3.83 % (3128515)------------------------------
% 20.65/3.83 % (3128515)------------------------------
% 20.65/3.83 % (3128544)Instruction limit reached!
% 20.65/3.83 % (3128544)------------------------------
% 20.65/3.83 % (3128544)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.83 % (3128544)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.83 % (3128544)CaDiCaL version: 2.1.3
% 20.65/3.83 % (3128544)Termination reason: Instruction limit
% 20.65/3.83 % (3128544)Termination phase: Saturation
% 20.65/3.83 % (3128544)Time elapsed: 0.121 s
% 20.65/3.83 % (3128544)Peak memory usage: 88 MB
% 20.65/3.83 % (3128544)Instructions burned: 242 (million)
% 20.65/3.83 % (3128540)------------------------------
% 20.65/3.83 % (3128540)------------------------------
% 20.65/3.83 % (3128548)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3417115976:cond=fast:i=5208:av=off_2990 on theBenchmark for (2990ds/5208Mi)
% 20.65/3.83 % (3128549)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=1898995755:i=134:sd=2:doe=on:ss=axioms:sgt=14_2989 on theBenchmark for (2989ds/134Mi)
% 20.65/3.83 % (3128550)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1654663401:i=499:bd=all_2989 on theBenchmark for (2989ds/499Mi)
% 20.65/3.83 % (3128551)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=3115532939:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 20.65/3.83 % (3128549)Instruction limit reached!
% 20.65/3.83 % (3128549)------------------------------
% 20.65/3.83 % (3128549)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.83 % (3128549)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.83 % (3128549)CaDiCaL version: 2.1.3
% 20.65/3.83 % (3128549)Termination reason: Instruction limit
% 20.65/3.83 % (3128549)Termination phase: Saturation
% 20.65/3.83 % (3128549)Time elapsed: 0.051 s
% 20.65/3.83 % (3128549)Peak memory usage: 87 MB
% 20.65/3.83 % (3128549)Instructions burned: 135 (million)
% 20.65/3.83 % (3128551)Instruction limit reached!
% 20.65/3.83 % (3128551)------------------------------
% 20.65/3.83 % (3128551)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.65/3.83 % (3128551)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.65/3.83 % (3128551)CaDiCaL version: 2.1.3
% 20.65/3.83 % (3128551)Termination reason: Instruction limit
% 20.65/3.83 % (3128551)Termination phase: Saturation
% 20.65/3.83 % (3128551)Time elapsed: 0.111 s
% 20.65/3.83 % (3128551)Peak memory usage: 88 MB
% 20.65/3.83 % (3128551)Instructions burned: 192 (million)
% 31.83/5.30 % (3128556)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3883102183:i=264:kws=precedence:fsr=off_2988 on theBenchmark for (2988ds/264Mi)
% 31.83/5.30 % (3128550)Instruction limit reached!
% 31.83/5.30 % (3128550)------------------------------
% 31.83/5.30 % (3128550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.83/5.30 % (3128550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.83/5.30 % (3128550)CaDiCaL version: 2.1.3
% 31.83/5.30 % (3128550)Termination reason: Instruction limit
% 31.83/5.30 % (3128550)Termination phase: Saturation
% 31.83/5.30 % (3128550)Time elapsed: 0.241 s
% 31.83/5.30 % (3128550)Peak memory usage: 88 MB
% 31.83/5.30 % (3128550)Instructions burned: 500 (million)
% 31.83/5.30 % (3128557)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=299434517:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 31.83/5.30 % (3128556)Instruction limit reached!
% 31.83/5.30 % (3128556)------------------------------
% 31.83/5.30 % (3128556)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.83/5.30 % (3128556)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.83/5.30 % (3128556)CaDiCaL version: 2.1.3
% 31.83/5.30 % (3128556)Termination reason: Instruction limit
% 31.83/5.30 % (3128556)Termination phase: Saturation
% 31.83/5.30 % (3128556)Time elapsed: 0.157 s
% 31.83/5.30 % (3128556)Peak memory usage: 90 MB
% 31.83/5.30 % (3128556)Instructions burned: 264 (million)
% 31.83/5.30 % (3128557)Instruction limit reached!
% 31.83/5.30 % (3128557)------------------------------
% 31.83/5.30 % (3128557)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.83/5.30 % (3128557)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.83/5.30 % (3128557)CaDiCaL version: 2.1.3
% 31.83/5.30 % (3128557)Termination reason: Instruction limit
% 31.83/5.30 % (3128557)Termination phase: Saturation
% 31.83/5.30 % (3128557)Time elapsed: 0.089 s
% 31.83/5.30 % (3128557)Peak memory usage: 88 MB
% 31.83/5.30 % (3128557)Instructions burned: 157 (million)
% 31.83/5.30 % (3128559)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=3532642736:i=3256:kws=precedence:bd=preordered:av=off_2986 on theBenchmark for (2986ds/3256Mi)
% 31.83/5.30 % (3128561)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3979393119:i=537:av=off:ss=included_2984 on theBenchmark for (2984ds/537Mi)
% 31.83/5.30 % (3128563)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=2299542346:i=180:bd=preordered:av=off_2984 on theBenchmark for (2984ds/180Mi)
% 31.83/5.30 % (3128563)Instruction limit reached!
% 31.83/5.30 % (3128563)------------------------------
% 31.83/5.30 % (3128563)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.83/5.30 % (3128563)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.83/5.30 % (3128563)CaDiCaL version: 2.1.3
% 31.83/5.30 % (3128563)Termination reason: Instruction limit
% 31.83/5.30 % (3128563)Termination phase: Saturation
% 31.83/5.30 % (3128563)Time elapsed: 0.089 s
% 31.83/5.30 % (3128563)Peak memory usage: 87 MB
% 31.83/5.30 % (3128563)Instructions burned: 181 (million)
% 31.83/5.30 % (3128561)Instruction limit reached!
% 31.83/5.30 % (3128561)------------------------------
% 31.83/5.30 % (3128561)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.83/5.30 % (3128561)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.83/5.30 % (3128561)CaDiCaL version: 2.1.3
% 31.83/5.30 % (3128561)Termination reason: Instruction limit
% 31.83/5.30 % (3128561)Termination phase: Saturation
% 31.83/5.30 % (3128561)Time elapsed: 0.193 s
% 31.83/5.30 % (3128561)Peak memory usage: 87 MB
% 31.83/5.30 % (3128561)Instructions burned: 537 (million)
% 31.83/5.30 % (3128538)Instruction limit reached!
% 31.83/5.30 % (3128538)------------------------------
% 31.83/5.30 % (3128538)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.83/5.30 % (3128538)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.83/5.30 % (3128538)CaDiCaL version: 2.1.3
% 31.83/5.30 % (3128538)Termination reason: Instruction limit
% 31.83/5.30 % (3128538)Termination phase: Saturation
% 31.83/5.30 % (3128538)Time elapsed: 1.260 s
% 31.83/5.30 % (3128538)Peak memory usage: 141 MB
% 31.83/5.30 % (3128538)Instructions burned: 3394 (million)
% 31.83/5.30 % (3128566)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=3249967301:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2982 on theBenchmark for (2982ds/10307Mi)
% 40.37/6.63 % (3128567)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=2615639554:i=412:gtgl=4:gtg=exists_all_2981 on theBenchmark for (2981ds/412Mi)
% 40.37/6.63 % (3128568)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=337042753:s2pl=no:i=8478:s2at=4:nm=6_2980 on theBenchmark for (2980ds/8478Mi)
% 40.37/6.63 % (3128567)Instruction limit reached!
% 40.37/6.63 % (3128567)------------------------------
% 40.37/6.63 % (3128567)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.37/6.63 % (3128567)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/6.63 % (3128567)CaDiCaL version: 2.1.3
% 40.37/6.63 % (3128567)Termination reason: Instruction limit
% 40.37/6.63 % (3128567)Termination phase: Saturation
% 40.37/6.63 % (3128567)Time elapsed: 0.205 s
% 40.37/6.63 % (3128567)Peak memory usage: 90 MB
% 40.37/6.63 % (3128567)Instructions burned: 412 (million)
% 40.37/6.63 % (3128568)Refutation not found, incomplete strategy
% 40.37/6.63 % (3128568)------------------------------
% 40.37/6.63 % (3128568)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.37/6.63 % (3128568)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/6.63 % (3128568)CaDiCaL version: 2.1.3
% 40.37/6.63 % (3128568)Termination reason: Refutation not found, incomplete strategy
% 40.37/6.63 % (3128568)Time elapsed: 0.335 s
% 40.37/6.63 % (3128568)Peak memory usage: 128 MB
% 40.37/6.63 % (3128568)Instructions burned: 862 (million)
% 40.37/6.63 % (3128572)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=1639207255:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2977 on theBenchmark for (2977ds/303Mi)
% 40.37/6.63 % (3128568)------------------------------
% 40.37/6.63 % (3128568)------------------------------
% 40.37/6.63 % (3128572)Instruction limit reached!
% 40.37/6.63 % (3128572)------------------------------
% 40.37/6.63 % (3128572)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.37/6.63 % (3128572)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/6.63 % (3128572)CaDiCaL version: 2.1.3
% 40.37/6.63 % (3128572)Termination reason: Instruction limit
% 40.37/6.63 % (3128572)Termination phase: Saturation
% 40.37/6.63 % (3128572)Time elapsed: 0.177 s
% 40.37/6.63 % (3128572)Peak memory usage: 90 MB
% 40.37/6.63 % (3128572)Instructions burned: 304 (million)
% 40.37/6.63 % (3128574)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=690340938:st=4:i=720:sd=3:fsr=off:ss=axioms_2974 on theBenchmark for (2974ds/720Mi)
% 40.37/6.63 % (3128574)Refutation not found, incomplete strategy
% 40.37/6.63 % (3128574)------------------------------
% 40.37/6.63 % (3128574)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.37/6.63 % (3128574)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/6.63 % (3128574)CaDiCaL version: 2.1.3
% 40.37/6.63 % (3128574)Termination reason: Refutation not found, incomplete strategy
% 40.37/6.63 % (3128574)Time elapsed: 0.001 s
% 40.37/6.63 % (3128574)Peak memory usage: 87 MB
% 40.37/6.63 % (3128574)Instructions burned: 1 (million)
% 40.37/6.63 % (3128575)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=973085518:i=598:bs=on:bd=preordered:av=off:ss=axioms_2974 on theBenchmark for (2974ds/598Mi)
% 40.37/6.63 % (3128574)------------------------------
% 40.37/6.63 % (3128574)------------------------------
% 40.37/6.63 % (3128578)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=2785731994:i=2989:sd=3:ss=axioms:sgt=60_2972 on theBenchmark for (2972ds/2989Mi)
% 40.37/6.63 % (3128575)Instruction limit reached!
% 40.37/6.63 % (3128575)------------------------------
% 40.37/6.63 % (3128575)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.37/6.63 % (3128575)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.37/6.63 % (3128575)CaDiCaL version: 2.1.3
% 40.37/6.63 % (3128575)Termination reason: Instruction limit
% 40.37/6.63 % (3128575)Termination phase: Saturation
% 40.37/6.63 % (3128575)Time elapsed: 0.281 s
% 46.72/7.47 % (3128575)Peak memory usage: 88 MB
% 46.72/7.47 % (3128575)Instructions burned: 599 (million)
% 46.72/7.47 % (3128580)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=644270174:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2970 on theBenchmark for (2970ds/1997Mi)
% 46.72/7.47 % (3128548)Instruction limit reached!
% 46.72/7.47 % (3128548)------------------------------
% 46.72/7.47 % (3128548)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.72/7.47 % (3128548)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.72/7.47 % (3128548)CaDiCaL version: 2.1.3
% 46.72/7.47 % (3128548)Termination reason: Instruction limit
% 46.72/7.47 % (3128548)Termination phase: Saturation
% 46.72/7.47 % (3128548)Time elapsed: 2.315 s
% 46.72/7.47 % (3128548)Peak memory usage: 131 MB
% 46.72/7.47 % (3128548)Instructions burned: 5209 (million)
% 46.72/7.47 % (3128559)Instruction limit reached!
% 46.72/7.47 % (3128559)------------------------------
% 46.72/7.47 % (3128559)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.72/7.47 % (3128559)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.72/7.47 % (3128559)CaDiCaL version: 2.1.3
% 46.72/7.47 % (3128559)Termination reason: Instruction limit
% 46.72/7.47 % (3128559)Termination phase: Saturation
% 46.72/7.47 % (3128559)Time elapsed: 1.877 s
% 46.72/7.47 % (3128559)Peak memory usage: 132 MB
% 46.72/7.47 % (3128559)Instructions burned: 3258 (million)
% 46.72/7.47 % (3128582)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=2599041383:i=2088:bd=preordered:av=off_2966 on theBenchmark for (2966ds/2088Mi)
% 46.72/7.47 % (3128583)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=2247067007:i=1098:nicw=on_2965 on theBenchmark for (2965ds/1098Mi)
% 46.72/7.47 % (3128578)Instruction limit reached!
% 46.72/7.47 % (3128578)------------------------------
% 46.72/7.47 % (3128578)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.72/7.47 % (3128578)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.72/7.47 % (3128578)CaDiCaL version: 2.1.3
% 46.72/7.47 % (3128578)Termination reason: Instruction limit
% 46.72/7.47 % (3128578)Termination phase: Saturation
% 46.72/7.47 % (3128578)Time elapsed: 1.050 s
% 46.72/7.47 % (3128578)Peak memory usage: 141 MB
% 46.72/7.47 % (3128578)Instructions burned: 2989 (million)
% 46.72/7.47 % (3128583)Instruction limit reached!
% 46.72/7.47 % (3128583)------------------------------
% 46.72/7.47 % (3128583)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.72/7.47 % (3128583)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.72/7.47 % (3128583)CaDiCaL version: 2.1.3
% 46.72/7.47 % (3128583)Termination reason: Instruction limit
% 46.72/7.47 % (3128583)Termination phase: Saturation
% 46.72/7.47 % (3128583)Time elapsed: 0.519 s
% 46.72/7.47 % (3128583)Peak memory usage: 89 MB
% 46.72/7.47 % (3128583)Instructions burned: 1098 (million)
% 46.72/7.47 % (3128586)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=2339940294:i=433:bd=preordered_2960 on theBenchmark for (2960ds/433Mi)
% 46.72/7.47 % (3128587)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=2687005482:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2958 on theBenchmark for (2958ds/2942Mi)
% 46.72/7.47 % (3128586)Refutation not found, incomplete strategy
% 46.72/7.47 % (3128586)------------------------------
% 46.72/7.47 % (3128586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.72/7.47 % (3128586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.72/7.47 % (3128586)CaDiCaL version: 2.1.3
% 46.72/7.47 % (3128586)Termination reason: Refutation not found, incomplete strategy
% 46.72/7.47 % (3128586)Time elapsed: 0.200 s
% 46.72/7.47 % (3128586)Peak memory usage: 89 MB
% 46.72/7.47 % (3128586)Instructions burned: 358 (million)
% 46.72/7.47 % (3128582)Instruction limit reached!
% 46.72/7.47 % (3128582)------------------------------
% 46.72/7.47 % (3128582)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.72/7.47 % (3128582)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.72/7.47 % (3128582)CaDiCaL version: 2.1.3
% 46.72/7.47 % (3128582)Termination reason: Instruction limit
% 46.72/7.47 % (3128582)Termination phase: Saturation
% 46.72/7.47 % (3128582)Time elapsed: 0.912 s
% 46.72/7.47 % (3128582)Peak memory usage: 133 MB
% 46.72/7.47 % (3128582)Instructions burned: 2089 (million)
% 46.72/7.47 % (3128580)Instruction limit reached!
% 46.72/7.47 % (3128580)------------------------------
% 46.72/7.47 % (3128580)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.72/7.47 % (3128580)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.72/7.47 % (3128580)CaDiCaL version: 2.1.3
% 46.72/7.47 % (3128580)Termination reason: Instruction limit
% 46.72/7.47 % (3128580)Termination phase: Saturation
% 46.72/7.47 % (3128580)Time elapsed: 1.329 s
% 46.72/7.47 % (3128580)Peak memory usage: 133 MB
% 46.72/7.47 % (3128580)Instructions burned: 1998 (million)
% 46.72/7.47 % (3128586)------------------------------
% 46.72/7.47 % (3128586)------------------------------
% 46.72/7.47 % (3128590)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=536537124:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2955 on theBenchmark for (2955ds/6922Mi)
% 46.72/7.47 % (3128591)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=3662424141:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2955 on theBenchmark for (2955ds/596Mi)
% 46.72/7.47 % (3128591)Refutation not found, incomplete strategy
% 46.72/7.47 % (3128591)------------------------------
% 46.72/7.47 % (3128591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.72/7.47 % (3128591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.72/7.47 % (3128591)CaDiCaL version: 2.1.3
% 46.72/7.47 % (3128591)Termination reason: Refutation not found, incomplete strategy
% 46.72/7.47 % (3128591)Time elapsed: 0.002 s
% 46.72/7.47 % (3128591)Peak memory usage: 88 MB
% 46.72/7.47 % (3128591)Instructions burned: 1 (million)
% 46.72/7.47 % (3128593)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=715011217:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2954 on theBenchmark for (2954ds/4123Mi)
% 46.72/7.47 % (3128591)------------------------------
% 46.72/7.47 % (3128591)------------------------------
% 46.72/7.47 % (3128590)Refutation not found, incomplete strategy
% 46.72/7.47 % (3128590)------------------------------
% 46.72/7.47 % (3128590)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.72/7.47 % (3128590)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.72/7.47 % (3128590)CaDiCaL version: 2.1.3
% 46.72/7.47 % (3128590)Termination reason: Refutation not found, incomplete strategy
% 46.72/7.47 % (3128590)Time elapsed: 0.327 s
% 46.72/7.47 % (3128590)Peak memory usage: 127 MB
% 46.72/7.47 % (3128590)Instructions burned: 899 (million)
% 46.72/7.47 % (3128590)------------------------------
% 46.72/7.47 % (3128590)------------------------------
% 46.72/7.47 % (3128596)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2832686683:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2951 on theBenchmark for (2951ds/16411Mi)
% 46.72/7.47 % (3128598)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=1724036382:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2949 on theBenchmark for (2949ds/1670Mi)
% 46.72/7.47 % (3128598)Instruction limit reached!
% 46.72/7.47 % (3128598)------------------------------
% 46.72/7.47 % (3128598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.72/7.47 % (3128598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.72/7.47 % (3128598)CaDiCaL version: 2.1.3
% 46.72/7.47 % (3128598)Termination reason: Instruction limit
% 46.72/7.47 % (3128598)Termination phase: Saturation
% 46.72/7.47 % (3128598)Time elapsed: 0.565 s
% 46.72/7.47 % (3128598)Peak memory usage: 133 MB
% 46.72/7.47 % (3128598)Instructions burned: 1674 (million)
% 46.72/7.47 % (3128587)Instruction limit reached!
% 46.72/7.47 % (3128587)------------------------------
% 46.72/7.47 % (3128587)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.72/7.47 % (3128587)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.72/7.47 % (3128587)CaDiCaL version: 2.1.3
% 46.72/7.47 % (3128587)Termination reason: Instruction limit
% 46.72/7.47 % (3128587)Termination phase: Saturation
% 46.72/7.47 % (3128587)Time elapsed: 1.508 s
% 46.72/7.47 % (3128587)Peak memory usage: 131 MB
% 46.72/7.47 % (3128587)Instructions burned: 2944 (million)
% 46.72/7.47 % (3128600)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=3744390621:st=3:cond=fast:i=1722:sd=2:ss=included:fsd=on_2942 on theBenchmark for (2942ds/1722Mi)
% 46.72/7.47 % (3128601)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=2156255988:cts=off:cond=on:i=9530:bs=on:fsd=on_2942 on theBenchmark for (2942ds/9530Mi)
% 46.72/7.47 % (3128596)First to succeed.
% 46.72/7.47 % (3128596)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3128509"
% 46.72/7.47 % (3128600)Instruction limit reached!
% 46.72/7.47 % (3128600)------------------------------
% 46.72/7.47 % (3128600)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 46.72/7.47 % (3128600)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 46.72/7.47 % (3128600)CaDiCaL version: 2.1.3
% 46.72/7.47 % (3128600)Termination reason: Instruction limit
% 46.72/7.47 % (3128600)Termination phase: Saturation
% 46.72/7.47 % (3128600)Time elapsed: 0.689 s
% 46.72/7.47 % (3128600)Peak memory usage: 133 MB
% 46.72/7.47 % (3128600)Instructions burned: 1723 (million)
% 46.72/7.47 % SZS status Satisfiable for theBenchmark
% 46.72/7.47 % SZS output start Saturation.
% See solution above
% 47.36/7.67 % SZS output start Definitions and Model Updates.
% 47.36/7.67 % SZS output end Definitions and Model Updates.
% 47.36/7.67 % (3128596)------------------------------
% 47.36/7.67 % (3128596)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 47.36/7.67 % (3128596)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 47.36/7.67 % (3128596)CaDiCaL version: 2.1.3
% 47.36/7.67 % (3128596)Termination reason: Satisfiable
% 47.36/7.67 % (3128596)Time elapsed: 1.301 s
% 47.36/7.67 % (3128596)Peak memory usage: 136 MB
% 47.36/7.67 % (3128596)Instructions burned: 1830 (million)
% 47.36/7.67 % (3128596)------------------------------
% 47.36/7.67 % (3128596)------------------------------
% 47.36/7.67 % (3128509)Success in time 6.615 s
% 47.36/7.67 % Vampire exiting
%------------------------------------------------------------------------------