%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP123-9.004 : 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 : n005.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:12:41 AM UTC 2026
% Result : Satisfiable 40.29s 6.58s
% Output : Saturation 41.00s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u55,axiom,
product1(e_3,e_4,e_2) ).
cnf(u58,axiom,
~ product1(e_3,e_4,e_1) ).
cnf(u79,axiom,
~ product1(e_4,e_3,e_3) ).
cnf(u83,axiom,
~ product1(e_4,e_3,e_2) ).
cnf(u88,axiom,
product1(e_4,e_3,e_1) ).
cnf(u93,axiom,
product1(e_4,e_2,e_3) ).
cnf(u96,axiom,
~ product1(e_4,e_2,e_2) ).
cnf(u100,axiom,
~ product1(e_4,e_2,e_1) ).
cnf(u105,axiom,
~ product1(e_4,e_1,e_3) ).
cnf(u110,axiom,
product1(e_4,e_1,e_2) ).
cnf(u113,axiom,
~ product1(e_4,e_1,e_1) ).
cnf(u184,axiom,
~ product2(e_3,e_4,e_2) ).
cnf(u189,axiom,
product2(e_3,e_4,e_1) ).
cnf(u220,negated_conjecture,
~ product1(e_1,e_4,e_2) ).
cnf(u224,negated_conjecture,
~ product1(e_1,e_4,e_1) ).
cnf(u232,negated_conjecture,
~ product1(e_3,e_2,e_3) ).
cnf(u236,negated_conjecture,
~ product1(e_3,e_2,e_2) ).
cnf(u241,negated_conjecture,
product1(e_3,e_2,e_1) ).
cnf(u255,negated_conjecture,
~ product1(e_2,e_3,e_3) ).
cnf(u259,negated_conjecture,
~ product1(e_2,e_3,e_2) ).
cnf(u263,negated_conjecture,
~ product1(e_2,e_3,e_1) ).
cnf(u278,negated_conjecture,
~ product1(e_3,e_1,e_3) ).
cnf(u286,negated_conjecture,
~ product1(e_3,e_1,e_1) ).
cnf(u327,negated_conjecture,
~ product2(e_1,e_1,e_2) ).
cnf(u331,negated_conjecture,
~ product1(e_1,e_2,e_3) ).
cnf(u335,negated_conjecture,
~ product1(e_1,e_2,e_2) ).
cnf(u339,negated_conjecture,
~ product1(e_1,e_2,e_1) ).
cnf(u379,negated_conjecture,
product2(e_3,e_1,e_2) ).
cnf(u444,negated_conjecture,
product1(e_1,e_3,e_2) ).
cnf(u447,negated_conjecture,
~ product1(e_1,e_3,e_1) ).
cnf(u453,negated_conjecture,
product2(e_1,e_2,e_3) ).
cnf(u481,negated_conjecture,
product2(e_2,e_3,e_1) ).
cnf(u485,negated_conjecture,
~ product2(e_2,e_2,e_1) ).
cnf(u490,negated_conjecture,
product1(e_2,e_1,e_3) ).
cnf(u493,negated_conjecture,
~ product1(e_2,e_1,e_2) ).
cnf(u497,negated_conjecture,
~ product1(e_2,e_1,e_1) ).
cnf(u591,negated_conjecture,
~ product1(e_2,e_4,e_2) ).
cnf(u596,negated_conjecture,
product1(e_2,e_4,e_1) ).
cnf(u624,negated_conjecture,
( ~ product1(X0,e_3,e_2)
| product2(e_4,X0,e_3) ) ).
cnf(u640,negated_conjecture,
( ~ product1(X0,e_1,e_3)
| product2(e_4,X0,e_1) ) ).
cnf(u658,negated_conjecture,
product1(e_1,e_4,e_3) ).
cnf(u664,negated_conjecture,
( ~ product1(X0,e_2,e_1)
| product2(e_4,X0,e_2) ) ).
cnf(u873,negated_conjecture,
( ~ product1(e_2,e_3,X0)
| equalish(X0,e_4) ) ).
cnf(u906,negated_conjecture,
( ~ product1(e_3,e_1,X0)
| equalish(X0,e_4) ) ).
cnf(u1161,negated_conjecture,
( ~ group_element(X0)
| equalish(e_3,X0)
| product1(X0,e_1,e_1)
| product1(X0,e_1,e_3)
| product1(X0,e_1,e_2) ) ).
cnf(u404,axiom,
( ~ product1(e_4,e_2,X0)
| equalish(X0,e_3) ) ).
cnf(element_1,axiom,
group_element(e_1) ).
cnf(u1216,axiom,
( ~ group_element(X0)
| product1(X0,e_1,e_2)
| product1(X0,e_1,e_3)
| product1(X0,e_1,e_1)
| product1(X0,e_2,e_1)
| product1(X0,e_2,e_2)
| product1(X0,e_2,e_3) ) ).
cnf(u471,negated_conjecture,
( ~ product2(e_2,e_4,X0)
| equalish(X0,e_3) ) ).
cnf(u135,negated_conjecture,
( ~ group_element(X0)
| product1(e_1,X0,e_2)
| product1(e_1,X0,e_3)
| product1(e_1,X0,e_1)
| ~ product1(X1,X0,e_1)
| product2(e_4,X1,X0) ) ).
cnf(u616,negated_conjecture,
( ~ product2(e_1,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(product1_left_cancellation,axiom,
( ~ product1(X3,X1,X2)
| ~ product1(X0,X1,X2)
| equalish(X0,X3) ) ).
cnf(u942,negated_conjecture,
( ~ product2(e_4,X0,e_4)
| equalish(X0,X1)
| product1(X1,e_4,e_1)
| product1(X1,e_4,e_2)
| product1(X1,e_4,e_3)
| ~ group_element(X1) ) ).
cnf(u140,negated_conjecture,
( ~ product1(X2,X0,X0)
| equalish(X1,X2)
| ~ product2(X0,X1,X0) ) ).
cnf(u549,negated_conjecture,
( ~ product2(e_2,e_3,X0)
| equalish(X0,e_1) ) ).
cnf(u138,negated_conjecture,
( ~ product1(X1,X0,e_4)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_3)
| ~ group_element(X0)
| product1(e_4,X0,e_1)
| product2(e_4,X1,X0) ) ).
cnf(u37,axiom,
( ~ product1(X0,X1,e_4)
| equalish(X0,X2)
| ~ group_element(X1)
| product1(X2,X1,e_1)
| product1(X2,X1,e_2)
| product1(X2,X1,e_3)
| ~ group_element(X2) ) ).
cnf(u49,axiom,
( ~ group_element(X0)
| equalish(X0,e_4)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_3) ) ).
cnf(u1150,axiom,
( ~ group_element(X0)
| product1(X1,e_2,e_1)
| product1(X1,e_2,e_2)
| product1(X1,e_2,e_3)
| ~ group_element(X1)
| product1(X0,e_2,e_1)
| product1(X0,e_2,e_2)
| product1(X0,e_2,e_3)
| equalish(X0,X1) ) ).
cnf(u725,negated_conjecture,
( ~ product2(e_2,e_1,X0)
| equalish(X0,e_4) ) ).
cnf(u40,axiom,
( product1(X0,e_4,e_3)
| product1(X0,e_4,e_1)
| product1(X0,e_4,e_2)
| equalish(X0,e_4)
| ~ group_element(X0) ) ).
cnf(u1234,axiom,
( ~ group_element(X0)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_3)
| product1(X0,e_4,e_1)
| product1(X0,e_3,e_1)
| product1(X0,e_3,e_2)
| product1(X0,e_3,e_3) ) ).
cnf(u1235,axiom,
( ~ group_element(X0)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_3)
| product1(X0,e_4,e_1)
| product1(X0,e_2,e_1)
| product1(X0,e_2,e_2)
| product1(X0,e_2,e_3) ) ).
cnf(u684,negated_conjecture,
( ~ product2(X0,e_1,e_2)
| equalish(X0,e_3) ) ).
cnf(u860,axiom,
( ~ group_element(X1)
| equalish(X0,e_4)
| product1(e_3,X1,e_1)
| product1(e_3,X1,e_2)
| product1(e_3,X1,e_3)
| ~ product1(e_3,X1,X0) ) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2) ).
cnf(u415,negated_conjecture,
( ~ product2(e_1,e_4,X0)
| equalish(X0,e_2) ) ).
cnf(u627,negated_conjecture,
( ~ product2(e_4,e_1,X0)
| equalish(X0,e_3) ) ).
cnf(u1152,axiom,
( ~ group_element(X0)
| product1(X1,e_4,e_1)
| product1(X1,e_4,e_2)
| product1(X1,e_4,e_3)
| ~ group_element(X1)
| product1(X0,e_4,e_1)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_3)
| equalish(X0,X1) ) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1) ).
cnf(u151,negated_conjecture,
( ~ product1(X1,X2,X2)
| equalish(X0,X2)
| ~ product2(X0,X1,X2) ) ).
cnf(u861,axiom,
( ~ group_element(X1)
| equalish(X0,e_4)
| product1(e_4,X1,e_1)
| product1(e_4,X1,e_2)
| product1(e_4,X1,e_3)
| ~ product1(e_4,X1,X0) ) ).
cnf(product2_total_function2,axiom,
( ~ product2(X0,X1,X3)
| ~ product2(X0,X1,X2)
| equalish(X2,X3) ) ).
cnf(u935,negated_conjecture,
( ~ group_element(X1)
| ~ product2(e_4,X1,X0)
| product1(X1,e_4,e_1)
| product1(X1,e_4,e_2)
| product1(X1,e_4,e_3)
| equalish(X0,e_4) ) ).
cnf(u44,negated_conjecture,
( ~ group_element(X0)
| product1(X0,e_4,e_2)
| equalish(X0,e_4)
| product1(X0,e_4,e_1)
| ~ product1(X1,e_4,X0)
| product2(e_3,X1,e_4) ) ).
cnf(u1193,axiom,
( ~ group_element(X0)
| product1(X1,e_1,e_1)
| product1(X1,e_1,e_2)
| product1(X1,e_1,e_3)
| ~ group_element(X1)
| equalish(X0,e_1)
| product1(X1,X0,e_1)
| product1(X1,X0,e_2)
| product1(X1,X0,e_3) ) ).
cnf(u628,negated_conjecture,
( ~ product2(X0,e_1,e_3)
| equalish(X0,e_4) ) ).
cnf(u554,negated_conjecture,
( ~ group_element(X0)
| product1(X0,e_1,e_1)
| product1(X0,e_1,e_2)
| product1(X0,e_1,e_3)
| product2(e_2,X0,e_1) ) ).
cnf(u1214,axiom,
( ~ group_element(X0)
| product1(X0,e_1,e_2)
| product1(X0,e_1,e_3)
| product1(X0,e_1,e_1)
| product1(X0,e_4,e_1)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_3) ) ).
cnf(u626,negated_conjecture,
product2(e_4,e_1,e_3) ).
cnf(u802,negated_conjecture,
~ product1(e_3,e_4,e_4) ).
cnf(u686,negated_conjecture,
product2(e_4,e_3,e_2) ).
cnf(u976,axiom,
( ~ group_element(X1)
| equalish(X0,e_4)
| product2(e_4,X1,e_1)
| product2(e_4,X1,e_2)
| product2(e_4,X1,e_3)
| ~ product2(e_4,X1,X0) ) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2) ).
cnf(u975,axiom,
( ~ group_element(X1)
| equalish(X0,e_4)
| product2(e_3,X1,e_1)
| product2(e_3,X1,e_2)
| product2(e_3,X1,e_3)
| ~ product2(e_3,X1,X0) ) ).
cnf(u767,negated_conjecture,
~ product1(e_2,e_4,e_4) ).
cnf(u1195,axiom,
( ~ group_element(X0)
| product1(X1,e_3,e_1)
| product1(X1,e_3,e_2)
| product1(X1,e_3,e_3)
| ~ group_element(X1)
| equalish(X0,e_3)
| product1(X1,X0,e_1)
| product1(X1,X0,e_2)
| product1(X1,X0,e_3) ) ).
cnf(u305,axiom,
( ~ product1(e_4,X0,e_1)
| equalish(X0,e_3) ) ).
cnf(qg1a,negated_conjecture,
( ~ product1(X2,X1,X3)
| ~ product1(X0,X1,X2)
| product2(X3,X0,X1) ) ).
cnf(u466,negated_conjecture,
( ~ product2(e_1,e_2,X0)
| equalish(X0,e_3) ) ).
cnf(u645,negated_conjecture,
( ~ product2(e_4,X0,e_1)
| equalish(X0,e_2) ) ).
cnf(u1149,axiom,
( ~ group_element(X0)
| product1(X1,e_1,e_1)
| product1(X1,e_1,e_2)
| product1(X1,e_1,e_3)
| ~ group_element(X1)
| product1(X0,e_1,e_1)
| product1(X0,e_1,e_2)
| product1(X0,e_1,e_3)
| equalish(X0,X1) ) ).
cnf(u929,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_2)
| product2(e_3,X0,e_1)
| product2(e_3,X0,e_2)
| product2(e_3,X0,e_3) ) ).
cnf(u32,axiom,
( ~ product1(X0,X0,X1)
| equalish(X1,X0) ) ).
cnf(u536,axiom,
( ~ product1(e_4,X0,e_2)
| equalish(X0,e_1) ) ).
cnf(u548,negated_conjecture,
( ~ product1(X0,e_1,e_2)
| product2(e_3,X0,e_1) ) ).
cnf(u136,negated_conjecture,
( ~ group_element(X0)
| product1(e_2,X0,e_2)
| product1(e_2,X0,e_3)
| product1(e_2,X0,e_1)
| ~ product1(X1,X0,e_2)
| product2(e_4,X1,X0) ) ).
cnf(u720,negated_conjecture,
product2(e_2,e_1,e_4) ).
cnf(u1019,axiom,
( ~ group_element(X1)
| product2(e_2,X0,e_1)
| product2(e_2,X0,e_2)
| product2(e_2,X0,e_3)
| equalish(X1,X0)
| ~ group_element(X0)
| product2(e_2,X1,e_1)
| product2(e_2,X1,e_2)
| product2(e_2,X1,e_3) ) ).
cnf(u683,negated_conjecture,
( ~ product2(e_3,e_1,X0)
| equalish(X0,e_2) ) ).
cnf(u1151,axiom,
( ~ group_element(X0)
| product1(X1,e_3,e_1)
| product1(X1,e_3,e_2)
| product1(X1,e_3,e_3)
| ~ group_element(X1)
| product1(X0,e_3,e_1)
| product1(X0,e_3,e_2)
| product1(X0,e_3,e_3)
| equalish(X0,X1) ) ).
cnf(u734,negated_conjecture,
product2(e_3,e_2,e_4) ).
cnf(u853,axiom,
( ~ group_element(X0)
| product1(X0,e_4,e_1)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_3)
| equalish(e_4,X0) ) ).
cnf(u309,axiom,
( ~ product1(e_3,X0,e_2)
| equalish(X0,e_4) ) ).
cnf(element_3,axiom,
group_element(e_3) ).
cnf(u470,negated_conjecture,
product2(e_2,e_4,e_3) ).
cnf(u177,axiom,
( ~ group_element(X0)
| product2(X0,e_4,e_2)
| equalish(X0,e_4)
| product2(X0,e_4,e_1)
| ~ product2(X0,X1,e_3)
| equalish(X1,e_4) ) ).
cnf(u1114,negated_conjecture,
( ~ group_element(X0)
| product1(e_4,X0,e_3)
| product1(e_4,X0,e_1)
| product2(e_4,e_4,X0)
| product1(e_4,X0,e_2) ) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3) ).
cnf(u36,axiom,
( ~ product1(X0,X1,X1)
| equalish(X0,X1) ) ).
cnf(u307,negated_conjecture,
( ~ product1(X0,e_3,e_4)
| product2(e_1,X0,e_3) ) ).
cnf(u416,negated_conjecture,
( ~ product2(X0,e_4,e_2)
| equalish(X0,e_1) ) ).
cnf(u31,negated_conjecture,
( ~ group_element(X1)
| product1(X1,X0,e_1)
| product1(X1,X0,e_2)
| product1(X1,X0,e_3)
| ~ group_element(X0)
| ~ product1(X2,X0,X1)
| product2(e_4,X2,X0) ) ).
cnf(u43,axiom,
( ~ group_element(X0)
| product1(X0,e_4,e_2)
| equalish(X0,e_4)
| product1(X0,e_4,e_1)
| ~ product1(X0,e_4,X1)
| equalish(X1,e_3) ) ).
cnf(u550,negated_conjecture,
( ~ product2(X0,e_3,e_1)
| equalish(X0,e_2) ) ).
cnf(u546,negated_conjecture,
( ~ product1(e_2,X0,e_3)
| equalish(X0,e_1) ) ).
cnf(u724,negated_conjecture,
( ~ product1(X0,e_4,e_1)
| product2(e_3,X0,e_4) ) ).
cnf(u615,negated_conjecture,
( ~ product2(X0,e_3,e_4)
| equalish(X0,e_1) ) ).
cnf(u34,axiom,
( ~ product1(X0,X1,X0)
| equalish(X1,X0) ) ).
cnf(u1023,negated_conjecture,
( ~ group_element(X0)
| product2(e_1,X0,e_1)
| product2(e_1,X0,e_2)
| product2(e_1,X0,e_3)
| equalish(e_3,X0) ) ).
cnf(u69,axiom,
( ~ group_element(X0)
| equalish(e_4,X0)
| product1(X0,X0,e_1)
| product1(X0,X0,e_2)
| product1(X0,X0,e_3) ) ).
cnf(u561,axiom,
( ~ product2(e_3,X0,e_1)
| equalish(X0,e_4) ) ).
cnf(u722,negated_conjecture,
( ~ product1(e_1,X0,e_3)
| equalish(X0,e_4) ) ).
cnf(u210,axiom,
( ~ group_element(X0)
| equalish(e_4,X0)
| product2(X0,X0,e_1)
| product2(X0,X0,e_2)
| product2(X0,X0,e_3) ) ).
cnf(u728,negated_conjecture,
( ~ group_element(X0)
| product1(X0,e_4,e_1)
| product1(X0,e_4,e_2)
| equalish(X0,e_4)
| equalish(X0,e_1) ) ).
cnf(u1014,axiom,
( ~ group_element(X0)
| product2(e_4,X0,e_1)
| product2(e_4,X0,e_2)
| product2(e_4,X0,e_3)
| equalish(e_4,X0) ) ).
cnf(u737,negated_conjecture,
( ~ product2(e_3,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(u1196,axiom,
( ~ group_element(X0)
| product1(X1,e_4,e_1)
| product1(X1,e_4,e_2)
| product1(X1,e_4,e_3)
| ~ group_element(X1)
| equalish(X0,e_4)
| product1(X1,X0,e_1)
| product1(X1,X0,e_2)
| product1(X1,X0,e_3) ) ).
cnf(u963,axiom,
( ~ group_element(X1)
| equalish(X0,e_4)
| ~ group_element(X0)
| product1(X0,e_4,e_1)
| equalish(X1,X0)
| product1(X1,e_4,e_1)
| product1(X1,e_4,e_2)
| equalish(X1,e_4)
| product1(X0,e_4,e_2) ) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4) ).
cnf(u915,negated_conjecture,
( ~ product1(e_1,e_2,X0)
| equalish(X0,e_4) ) ).
cnf(u311,negated_conjecture,
( ~ product1(X0,e_4,e_3)
| product2(e_2,X0,e_4) ) ).
cnf(u844,axiom,
( ~ group_element(X1)
| equalish(X0,X1)
| product1(X2,X1,e_1)
| product1(X2,X1,e_2)
| product1(X2,X1,e_3)
| ~ group_element(X2)
| ~ group_element(X0)
| product1(X2,X0,e_1)
| product1(X2,X0,e_2)
| product1(X2,X0,e_3) ) ).
cnf(u355,negated_conjecture,
( ~ product1(e_3,X0,e_1)
| equalish(X0,e_2) ) ).
cnf(product1_total_function1,axiom,
( product1(X0,X1,e_4)
| ~ group_element(X1)
| product1(X0,X1,e_1)
| product1(X0,X1,e_2)
| product1(X0,X1,e_3)
| ~ group_element(X0) ) ).
cnf(u464,negated_conjecture,
( ~ product1(e_1,e_3,X0)
| equalish(X0,e_2) ) ).
cnf(u559,axiom,
( ~ product2(e_3,e_4,X0)
| equalish(X0,e_1) ) ).
cnf(u547,negated_conjecture,
( ~ product1(e_2,e_1,X0)
| equalish(X0,e_3) ) ).
cnf(u38,axiom,
equalish(X0,X0) ).
cnf(u195,axiom,
( ~ group_element(X0)
| equalish(X2,e_4)
| ~ group_element(X1)
| product2(X0,X1,e_1)
| product2(X0,X1,e_2)
| product2(X0,X1,e_3)
| ~ product2(X0,X1,X2) ) ).
cnf(u1011,axiom,
( ~ product2(e_3,X0,e_4)
| ~ group_element(X1)
| product2(e_3,X1,e_1)
| product2(e_3,X1,e_2)
| product2(e_3,X1,e_3)
| equalish(X0,X1) ) ).
cnf(u537,axiom,
( ~ product1(e_4,e_1,X0)
| equalish(X0,e_2) ) ).
cnf(u726,negated_conjecture,
( ~ product2(X0,e_1,e_4)
| equalish(X0,e_2) ) ).
cnf(u945,negated_conjecture,
( ~ product1(X0,e_4,e_4)
| product1(X1,e_4,e_1)
| product1(X1,e_4,e_2)
| product1(X1,e_4,e_3)
| ~ group_element(X1)
| equalish(X0,X1) ) ).
cnf(u609,negated_conjecture,
( ~ product1(e_2,X0,e_1)
| equalish(X0,e_4) ) ).
cnf(u1017,negated_conjecture,
( ~ group_element(X0)
| product2(e_2,X0,e_1)
| product2(e_2,X0,e_2)
| product2(e_2,X0,e_3)
| equalish(e_1,X0) ) ).
cnf(u1033,axiom,
( ~ group_element(X1)
| equalish(X0,e_4)
| product2(e_4,X1,e_1)
| product2(e_4,X1,e_2)
| product2(e_4,X1,e_3)
| ~ product2(X0,X1,e_4) ) ).
cnf(u304,axiom,
( ~ product1(X0,e_3,e_1)
| equalish(X0,e_4) ) ).
cnf(u1111,negated_conjecture,
( ~ group_element(X0)
| product1(e_4,X0,e_3)
| product1(e_4,X0,e_1)
| product2(e_4,e_2,X0)
| product1(e_2,X0,e_1)
| product1(e_2,X0,e_2)
| product1(e_2,X0,e_3)
| product1(e_4,X0,e_2) ) ).
cnf(product1_idempotence,axiom,
product1(X0,X0,X0) ).
cnf(u468,negated_conjecture,
( ~ product2(e_1,X0,e_3)
| equalish(X0,e_2) ) ).
cnf(u644,negated_conjecture,
( ~ product2(X0,e_2,e_1)
| equalish(X0,e_4) ) ).
cnf(u535,axiom,
( ~ product1(X0,e_1,e_2)
| equalish(X0,e_4) ) ).
cnf(u463,negated_conjecture,
( ~ product1(e_1,X0,e_2)
| equalish(X0,e_3) ) ).
cnf(u139,axiom,
( ~ product2(X0,X1,X0)
| equalish(X1,X0) ) ).
cnf(product2_right_cancellation,axiom,
( ~ product2(X0,X3,X2)
| ~ product2(X0,X1,X2)
| equalish(X1,X3) ) ).
cnf(u1112,negated_conjecture,
( ~ group_element(X0)
| product1(e_4,X0,e_3)
| product1(e_4,X0,e_1)
| product2(e_4,e_3,X0)
| product1(e_3,X0,e_1)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_3)
| product1(e_4,X0,e_2) ) ).
cnf(u642,negated_conjecture,
product2(e_4,e_2,e_1) ).
cnf(u946,negated_conjecture,
( ~ group_element(X0)
| product1(X1,e_4,e_1)
| product1(X1,e_4,e_2)
| product1(X1,e_4,e_3)
| ~ group_element(X1)
| equalish(X0,X1)
| product2(e_4,X0,e_1)
| product2(e_4,X0,e_2)
| product2(e_4,X0,e_3) ) ).
cnf(u1015,negated_conjecture,
( ~ product1(X1,e_4,e_4)
| product2(e_4,X0,e_1)
| product2(e_4,X0,e_2)
| product2(e_4,X0,e_3)
| equalish(X1,X0)
| ~ group_element(X0) ) ).
cnf(u949,negated_conjecture,
( ~ group_element(X1)
| ~ product2(X0,X1,e_4)
| product1(X1,e_4,e_1)
| product1(X1,e_4,e_2)
| product1(X1,e_4,e_3)
| equalish(X0,e_4) ) ).
cnf(u613,negated_conjecture,
product2(e_1,e_3,e_4) ).
cnf(u41,axiom,
( ~ product1(X1,e_4,e_3)
| product1(X0,e_4,e_2)
| equalish(X0,e_4)
| ~ group_element(X0)
| product1(X0,e_4,e_1)
| equalish(X1,X0) ) ).
cnf(u30,negated_conjecture,
( product2(X1,X0,X1)
| ~ product1(X0,X1,X1) ) ).
cnf(u797,negated_conjecture,
( ~ group_element(X0)
| product2(X0,e_1,e_1)
| product2(X0,e_1,e_2)
| product2(X0,e_1,e_3)
| equalish(X0,e_2) ) ).
cnf(u1194,axiom,
( ~ group_element(X0)
| product1(X1,e_2,e_1)
| product1(X1,e_2,e_2)
| product1(X1,e_2,e_3)
| ~ group_element(X1)
| equalish(X0,e_2)
| product1(X1,X0,e_1)
| product1(X1,X0,e_2)
| product1(X1,X0,e_3) ) ).
cnf(element_2,axiom,
group_element(e_2) ).
cnf(u735,negated_conjecture,
( ~ product2(e_3,e_2,X0)
| equalish(X0,e_4) ) ).
cnf(u176,axiom,
( ~ product2(X1,e_4,e_3)
| product2(X0,e_4,e_2)
| equalish(X0,e_4)
| ~ group_element(X0)
| product2(X0,e_4,e_1)
| equalish(X1,X0) ) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3) ).
cnf(u859,axiom,
( ~ group_element(X1)
| equalish(X0,e_4)
| product1(e_2,X1,e_1)
| product1(e_2,X1,e_2)
| product1(e_2,X1,e_3)
| ~ product1(e_2,X1,X0) ) ).
cnf(u306,axiom,
( ~ product1(e_4,e_3,X0)
| equalish(X0,e_1) ) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2) ).
cnf(u149,axiom,
( ~ group_element(X0)
| equalish(X0,e_4)
| product2(e_4,X0,e_1)
| product2(e_4,X0,e_2)
| product2(e_4,X0,e_3) ) ).
cnf(u731,negated_conjecture,
( ~ group_element(X0)
| product2(X0,e_4,e_1)
| product2(X0,e_4,e_2)
| equalish(X0,e_4)
| equalish(X0,e_2) ) ).
cnf(u193,axiom,
( ~ product2(X0,X0,X1)
| equalish(X1,X0) ) ).
cnf(u560,axiom,
( ~ product2(X0,e_4,e_1)
| equalish(X0,e_3) ) ).
cnf(u152,axiom,
( ~ group_element(X2)
| equalish(X0,X2)
| ~ group_element(X1)
| product2(X2,X1,e_1)
| product2(X2,X1,e_2)
| product2(X2,X1,e_3)
| ~ product2(X0,X1,e_4) ) ).
cnf(u796,negated_conjecture,
~ product1(e_1,e_4,e_4) ).
cnf(u692,negated_conjecture,
( ~ product2(e_4,X0,e_2)
| equalish(X0,e_3) ) ).
cnf(u803,negated_conjecture,
( ~ group_element(X0)
| product2(X0,e_3,e_1)
| product2(X0,e_3,e_2)
| product2(X0,e_3,e_3)
| equalish(X0,e_1) ) ).
cnf(u736,negated_conjecture,
( ~ product2(X0,e_2,e_4)
| equalish(X0,e_3) ) ).
cnf(u1056,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_4)
| product2(X0,e_4,e_2)
| product2(X0,e_4,e_1)
| equalish(e_2,X0) ) ).
cnf(u690,negated_conjecture,
( ~ product2(e_4,e_3,X0)
| equalish(X0,e_2) ) ).
cnf(element_4,axiom,
group_element(e_4) ).
cnf(u310,axiom,
( ~ product1(e_3,e_4,X0)
| equalish(X0,e_2) ) ).
cnf(u643,negated_conjecture,
( ~ product2(e_4,e_2,X0)
| equalish(X0,e_1) ) ).
cnf(u354,negated_conjecture,
( ~ product1(X0,e_2,e_1)
| equalish(X0,e_3) ) ).
cnf(u357,negated_conjecture,
( ~ product1(X0,e_2,e_3)
| product2(e_1,X0,e_2) ) ).
cnf(product1_right_cancellation,axiom,
( ~ product1(X0,X3,X2)
| ~ product1(X0,X1,X2)
| equalish(X1,X3) ) ).
cnf(u33,axiom,
( ~ group_element(X0)
| equalish(X2,e_4)
| ~ group_element(X1)
| product1(X0,X1,e_1)
| product1(X0,X1,e_2)
| product1(X0,X1,e_3)
| ~ product1(X0,X1,X2) ) ).
cnf(u473,negated_conjecture,
( ~ product2(e_2,X0,e_3)
| equalish(X0,e_4) ) ).
cnf(u137,negated_conjecture,
( ~ group_element(X0)
| product1(e_3,X0,e_2)
| product1(e_3,X0,e_3)
| product1(e_3,X0,e_1)
| ~ product1(X1,X0,e_3)
| product2(e_4,X1,X0) ) ).
cnf(product2_total_function1,axiom,
( product2(X0,X1,e_4)
| ~ group_element(X1)
| product2(X0,X1,e_1)
| product2(X0,X1,e_2)
| product2(X0,X1,e_3)
| ~ group_element(X0) ) ).
cnf(u403,axiom,
( ~ product1(e_4,X0,e_3)
| equalish(X0,e_2) ) ).
cnf(u312,negated_conjecture,
( ~ group_element(X0)
| product1(X0,e_4,e_1)
| product1(X0,e_4,e_2)
| equalish(X0,e_4)
| product2(e_2,X0,e_4) ) ).
cnf(u608,negated_conjecture,
( ~ product1(X0,e_4,e_1)
| equalish(X0,e_2) ) ).
cnf(u1016,axiom,
( ~ group_element(X1)
| product2(e_4,X0,e_1)
| product2(e_4,X0,e_2)
| product2(e_4,X0,e_3)
| equalish(X1,X0)
| ~ group_element(X0)
| product2(e_4,X1,e_1)
| product2(e_4,X1,e_2)
| product2(e_4,X1,e_3) ) ).
cnf(u1249,axiom,
( ~ group_element(X0)
| product1(X0,e_2,e_2)
| product1(X0,e_2,e_3)
| product1(X0,e_2,e_1)
| product1(X0,e_3,e_1)
| product1(X0,e_3,e_2)
| product1(X0,e_3,e_3) ) ).
cnf(u845,axiom,
( ~ group_element(X0)
| equalish(e_4,X0)
| product1(e_4,X0,e_1)
| product1(e_4,X0,e_2)
| product1(e_4,X0,e_3) ) ).
cnf(u858,axiom,
( ~ group_element(X1)
| equalish(X0,e_4)
| product1(e_1,X1,e_1)
| product1(e_1,X1,e_2)
| product1(e_1,X1,e_3)
| ~ product1(e_1,X1,X0) ) ).
cnf(u974,axiom,
( ~ group_element(X1)
| equalish(X0,e_4)
| product2(e_2,X1,e_1)
| product2(e_2,X1,e_2)
| product2(e_2,X1,e_3)
| ~ product2(e_2,X1,X0) ) ).
cnf(u402,axiom,
( ~ product1(X0,e_2,e_3)
| equalish(X0,e_4) ) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4) ).
cnf(u462,negated_conjecture,
( ~ product1(X0,e_3,e_2)
| equalish(X0,e_1) ) ).
cnf(u405,negated_conjecture,
( ~ product1(X0,e_2,e_4)
| product2(e_3,X0,e_2) ) ).
cnf(u417,negated_conjecture,
( ~ product2(e_1,X0,e_2)
| equalish(X0,e_4) ) ).
cnf(u141,axiom,
( ~ group_element(X0)
| equalish(X1,X2)
| ~ group_element(X2)
| product2(X0,X2,e_1)
| product2(X0,X2,e_2)
| product2(X0,X2,e_3)
| ~ product2(X0,X1,e_4) ) ).
cnf(product2_idempotence,axiom,
product2(X0,X0,X0) ).
cnf(u768,negated_conjecture,
( ~ group_element(X0)
| product2(X0,e_2,e_1)
| product2(X0,e_2,e_2)
| product2(X0,e_2,e_3)
| equalish(X0,e_3) ) ).
cnf(u1177,negated_conjecture,
( ~ group_element(X0)
| product1(X0,e_2,e_2)
| product1(X0,e_2,e_3)
| product1(X0,e_2,e_1)
| equalish(e_1,X0) ) ).
cnf(u35,axiom,
( ~ product1(X0,X1,e_4)
| equalish(X1,X2)
| ~ group_element(X2)
| product1(X0,X2,e_1)
| product1(X0,X2,e_2)
| product1(X0,X2,e_3)
| ~ group_element(X0) ) ).
cnf(u1020,negated_conjecture,
( ~ group_element(X0)
| product2(e_3,X0,e_1)
| product2(e_3,X0,e_2)
| product2(e_3,X0,e_3)
| equalish(e_2,X0) ) ).
cnf(u1110,negated_conjecture,
( ~ group_element(X0)
| product1(e_4,X0,e_3)
| product1(e_4,X0,e_1)
| product2(e_4,e_1,X0)
| product1(e_1,X0,e_1)
| product1(e_1,X0,e_2)
| product1(e_1,X0,e_3)
| product1(e_4,X0,e_2) ) ).
cnf(u538,negated_conjecture,
( ~ product1(X0,e_1,e_4)
| product2(e_2,X0,e_1) ) ).
cnf(u212,negated_conjecture,
~ product1(e_3,e_2,e_4) ).
cnf(u610,negated_conjecture,
( ~ product1(e_2,e_4,X0)
| equalish(X0,e_1) ) ).
cnf(u964,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_4)
| product1(X0,e_4,e_2)
| product1(X0,e_4,e_1)
| equalish(e_1,X0) ) ).
cnf(u691,negated_conjecture,
( ~ product2(X0,e_3,e_2)
| equalish(X0,e_4) ) ).
cnf(u1031,axiom,
( ~ group_element(X1)
| equalish(X0,e_2)
| product2(e_2,X1,e_1)
| product2(e_2,X1,e_2)
| product2(e_2,X1,e_3)
| ~ product2(X0,X1,e_4) ) ).
cnf(u723,negated_conjecture,
( ~ product1(e_1,e_4,X0)
| equalish(X0,e_3) ) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1) ).
cnf(u962,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_3)
| product2(e_1,X0,e_1)
| product2(e_1,X0,e_2)
| product2(e_1,X0,e_3) ) ).
cnf(u685,negated_conjecture,
( ~ product2(e_3,X0,e_2)
| equalish(X0,e_1) ) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1) ).
cnf(u1188,negated_conjecture,
( ~ group_element(X0)
| product1(X0,e_3,e_2)
| product1(X0,e_3,e_3)
| product1(X0,e_3,e_1)
| equalish(e_2,X0) ) ).
cnf(u465,negated_conjecture,
( ~ product1(X0,e_3,e_1)
| product2(e_2,X0,e_3) ) ).
cnf(u308,axiom,
( ~ product1(X0,e_4,e_2)
| equalish(X0,e_3) ) ).
cnf(u973,axiom,
( ~ group_element(X1)
| equalish(X0,e_4)
| product2(e_1,X1,e_1)
| product2(e_1,X1,e_2)
| product2(e_1,X1,e_3)
| ~ product2(e_1,X1,X0) ) ).
cnf(u1065,negated_conjecture,
( ~ group_element(X1)
| product2(e_4,X0,e_2)
| product2(e_4,X0,e_3)
| equalish(X1,X0)
| ~ group_element(X0)
| product1(X1,e_4,e_1)
| product1(X1,e_4,e_2)
| product1(X1,e_4,e_3)
| product2(e_4,X0,e_1) ) ).
cnf(u196,axiom,
( ~ group_element(X0)
| equalish(X1,e_3)
| product2(X0,e_4,e_1)
| product2(X0,e_4,e_2)
| equalish(X0,e_4)
| ~ product2(X0,e_4,X1) ) ).
cnf(u1054,axiom,
( ~ group_element(X1)
| equalish(X0,e_4)
| ~ group_element(X0)
| product2(X0,e_4,e_1)
| equalish(X1,X0)
| product2(X1,e_4,e_1)
| product2(X1,e_4,e_2)
| equalish(X1,e_4)
| product2(X0,e_4,e_2) ) ).
cnf(u419,negated_conjecture,
( ~ group_element(X0)
| product1(X0,e_2,e_1)
| product1(X0,e_2,e_2)
| product1(X0,e_2,e_3)
| product2(e_3,X0,e_2) ) ).
cnf(u551,negated_conjecture,
( ~ product2(e_2,X0,e_1)
| equalish(X0,e_3) ) ).
cnf(u580,negated_conjecture,
( ~ group_element(X1)
| product1(e_4,X0,e_3)
| ~ group_element(X0)
| product1(e_4,X0,e_1)
| product2(e_4,X1,X0)
| product1(X1,X0,e_1)
| product1(X1,X0,e_2)
| product1(X1,X0,e_3)
| product1(e_4,X0,e_2) ) ).
cnf(u614,negated_conjecture,
( ~ product2(e_1,e_3,X0)
| equalish(X0,e_4) ) ).
cnf(u42,axiom,
( ~ group_element(X0)
| product1(X0,e_4,e_2)
| equalish(X0,e_4)
| product1(X0,e_4,e_1)
| ~ product1(X0,X1,e_3)
| equalish(X1,e_4) ) ).
cnf(u727,negated_conjecture,
( ~ product2(e_2,X0,e_4)
| equalish(X0,e_1) ) ).
cnf(u1022,axiom,
( ~ group_element(X1)
| product2(e_3,X0,e_1)
| product2(e_3,X0,e_2)
| product2(e_3,X0,e_3)
| equalish(X1,X0)
| ~ group_element(X0)
| product2(e_3,X1,e_1)
| product2(e_3,X1,e_2)
| product2(e_3,X1,e_3) ) ).
cnf(u629,negated_conjecture,
( ~ product2(e_4,X0,e_3)
| equalish(X0,e_1) ) ).
cnf(u1009,axiom,
( ~ product2(e_1,X0,e_4)
| ~ group_element(X1)
| product2(e_1,X1,e_1)
| product2(e_1,X1,e_2)
| product2(e_1,X1,e_3)
| equalish(X0,X1) ) ).
cnf(u852,axiom,
( ~ group_element(X2)
| equalish(X0,X1)
| product1(X1,X2,e_1)
| product1(X1,X2,e_2)
| product1(X1,X2,e_3)
| ~ group_element(X1)
| product1(X0,X2,e_1)
| product1(X0,X2,e_2)
| product1(X0,X2,e_3)
| ~ group_element(X0) ) ).
cnf(u1025,axiom,
( ~ group_element(X1)
| product2(e_1,X0,e_1)
| product2(e_1,X0,e_2)
| product2(e_1,X0,e_3)
| equalish(X1,X0)
| ~ group_element(X0)
| product2(e_1,X1,e_1)
| product2(e_1,X1,e_2)
| product2(e_1,X1,e_3) ) ).
cnf(u1030,axiom,
( ~ group_element(X1)
| equalish(X0,e_1)
| product2(e_1,X1,e_1)
| product2(e_1,X1,e_2)
| product2(e_1,X1,e_3)
| ~ product2(X0,X1,e_4) ) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3) ).
cnf(product1_total_function2,axiom,
( ~ product1(X0,X1,X3)
| ~ product1(X0,X1,X2)
| equalish(X2,X3) ) ).
cnf(u356,negated_conjecture,
( ~ product1(e_3,e_2,X0)
| equalish(X0,e_1) ) ).
cnf(u368,negated_conjecture,
product2(e_1,e_4,e_2) ).
cnf(u319,negated_conjecture,
( ~ group_element(X0)
| product1(X0,e_3,e_1)
| product1(X0,e_3,e_2)
| product1(X0,e_3,e_3)
| product2(e_1,X0,e_3) ) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4) ).
cnf(product2_left_cancellation,axiom,
( ~ product2(X3,X1,X2)
| ~ product2(X0,X1,X2)
| equalish(X0,X3) ) ).
cnf(u472,negated_conjecture,
( ~ product2(X0,e_4,e_3)
| equalish(X0,e_2) ) ).
cnf(u467,negated_conjecture,
( ~ product2(X0,e_2,e_3)
| equalish(X0,e_1) ) ).
cnf(u1012,axiom,
( ~ product2(e_4,X0,e_4)
| ~ group_element(X1)
| product2(e_4,X1,e_1)
| product2(e_4,X1,e_2)
| product2(e_4,X1,e_3)
| equalish(X0,X1) ) ).
cnf(u611,negated_conjecture,
( ~ product1(X0,e_4,e_2)
| product2(e_1,X0,e_4) ) ).
cnf(u1215,axiom,
( ~ group_element(X0)
| product1(X0,e_1,e_2)
| product1(X0,e_1,e_3)
| product1(X0,e_1,e_1)
| product1(X0,e_3,e_1)
| product1(X0,e_3,e_2)
| product1(X0,e_3,e_3) ) ).
cnf(u545,negated_conjecture,
( ~ product1(X0,e_1,e_3)
| equalish(X0,e_2) ) ).
cnf(u150,axiom,
( ~ product2(X0,X1,X1)
| equalish(X0,X1) ) ).
cnf(u194,negated_conjecture,
( ~ product1(X1,X0,X0)
| equalish(X2,X0)
| ~ product2(X0,X1,X2) ) ).
cnf(u721,negated_conjecture,
( ~ product1(X0,e_4,e_3)
| equalish(X0,e_1) ) ).
cnf(u165,negated_conjecture,
~ product1(e_2,e_2,e_4) ).
cnf(u1032,axiom,
( ~ group_element(X1)
| equalish(X0,e_3)
| product2(e_3,X1,e_1)
| product2(e_3,X1,e_2)
| product2(e_3,X1,e_3)
| ~ product2(X0,X1,e_4) ) ).
cnf(u959,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_1)
| product2(e_2,X0,e_1)
| product2(e_2,X0,e_2)
| product2(e_2,X0,e_3) ) ).
cnf(u1010,axiom,
( ~ product2(e_2,X0,e_4)
| ~ group_element(X1)
| product2(e_2,X1,e_1)
| product2(e_2,X1,e_2)
| product2(e_2,X1,e_3)
| equalish(X0,X1) ) ).
cnf(u168,axiom,
( product2(X0,e_4,e_3)
| product2(X0,e_4,e_1)
| product2(X0,e_4,e_2)
| equalish(X0,e_4)
| ~ group_element(X0) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP123-9.004 : TPTP v9.3.1. Bugfixed v1.2.1.
% 0.00/0.06 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 % Computer : n005.cluster.edu
% 0.12/0.39 % Model : x86_64 x86_64
% 0.12/0.39 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.39 % Memory : 8046.5625MB
% 0.12/0.39 % OS : Linux 6.8.0-71-generic
% 0.12/0.39 % CPULimit : 300
% 0.12/0.39 % WCLimit : 300
% 0.12/0.39 % DateTime : Sun Sep 27 09:20:02 UTC 2026
% 0.12/0.39 % CPUTime :
% 0.12/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.12/0.43 Running first-order theorem proving
% 0.12/0.43 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 9.38/2.14 % (3730401)Input is clausal, will run a generic CNF schedule.
% 9.38/2.14 % (3730450)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=9213681:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 9.38/2.14 % (3730450)Instruction limit reached!
% 9.38/2.14 % (3730450)------------------------------
% 9.38/2.14 % (3730450)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.14 % (3730450)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.14 % (3730450)CaDiCaL version: 2.1.3
% 9.38/2.14 % (3730450)Termination reason: Instruction limit
% 9.38/2.14 % (3730450)Termination phase: Saturation
% 9.38/2.14 % (3730450)Time elapsed: 0.035 s
% 9.38/2.14 % (3730450)Peak memory usage: 88 MB
% 9.38/2.14 % (3730450)Instructions burned: 116 (million)
% 9.38/2.14 % (3730443)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=263775592:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 9.38/2.14 % (3730446)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1688258315:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 9.38/2.14 % (3730441)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=2938353652:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 9.38/2.14 % (3730454)dis-21_1_sil=8000:lcm=predicate:random_seed=2639062361: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)
% 9.38/2.14 % (3730452)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1061455411:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 9.38/2.14 % (3730448)lrs+10_1_sil=8000:sp=occurrence:random_seed=837700462:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 9.38/2.14 % (3730448)Instruction limit reached!
% 9.38/2.14 % (3730448)------------------------------
% 9.38/2.14 % (3730448)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.14 % (3730448)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.14 % (3730448)CaDiCaL version: 2.1.3
% 9.38/2.14 % (3730448)Termination reason: Instruction limit
% 9.38/2.14 % (3730448)Termination phase: Saturation
% 9.38/2.14 % (3730448)Time elapsed: 0.063 s
% 9.38/2.14 % (3730448)Peak memory usage: 88 MB
% 9.38/2.14 % (3730448)Instructions burned: 108 (million)
% 9.38/2.14 % (3730454)Instruction limit reached!
% 9.38/2.14 % (3730454)------------------------------
% 9.38/2.14 % (3730454)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.14 % (3730454)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.14 % (3730454)CaDiCaL version: 2.1.3
% 9.38/2.14 % (3730454)Termination reason: Instruction limit
% 9.38/2.14 % (3730454)Termination phase: Saturation
% 9.38/2.14 % (3730454)Time elapsed: 0.075 s
% 9.38/2.14 % (3730454)Peak memory usage: 88 MB
% 9.38/2.14 % (3730454)Instructions burned: 118 (million)
% 9.38/2.14 % (3730494)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=718455593:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 9.38/2.14 % (3730452)Refutation not found, incomplete strategy
% 9.38/2.14 % (3730452)------------------------------
% 9.38/2.14 % (3730452)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.14 % (3730452)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.14 % (3730452)CaDiCaL version: 2.1.3
% 9.38/2.14 % (3730452)Termination reason: Refutation not found, incomplete strategy
% 9.38/2.14 % (3730452)Time elapsed: 0.084 s
% 9.38/2.14 % (3730452)Peak memory usage: 89 MB
% 9.38/2.14 % (3730452)Instructions burned: 130 (million)
% 9.38/2.14 % (3730494)Instruction limit reached!
% 9.38/2.14 % (3730494)------------------------------
% 9.38/2.14 % (3730494)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 9.38/2.14 % (3730494)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 9.38/2.14 % (3730494)CaDiCaL version: 2.1.3
% 9.38/2.14 % (3730494)Termination reason: Instruction limit
% 9.38/2.14 % (3730494)Termination phase: Saturation
% 9.38/2.14 % (3730494)Time elapsed: 0.047 s
% 9.38/2.14 % (3730494)Peak memory usage: 89 MB
% 9.38/2.14 % (3730494)Instructions burned: 146 (million)
% 9.38/2.14 % (3730522)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=224622734: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)
% 13.87/2.93 % (3730522)Refutation not found, incomplete strategy
% 13.87/2.93 % (3730522)------------------------------
% 13.87/2.93 % (3730522)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.87/2.93 % (3730522)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.87/2.93 % (3730522)CaDiCaL version: 2.1.3
% 13.87/2.93 % (3730522)Termination reason: Refutation not found, incomplete strategy
% 13.87/2.93 % (3730522)Time elapsed: 0.002 s
% 13.87/2.93 % (3730522)Peak memory usage: 87 MB
% 13.87/2.93 % (3730522)Instructions burned: 1 (million)
% 13.87/2.93 % (3730526)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=4285600425:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 13.87/2.93 % (3730536)lrs+10_64_to=lpo:sil=8000:random_seed=652826065:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 13.87/2.93 % (3730536)Instruction limit reached!
% 13.87/2.93 % (3730536)------------------------------
% 13.87/2.93 % (3730536)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.87/2.93 % (3730536)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.87/2.93 % (3730536)CaDiCaL version: 2.1.3
% 13.87/2.93 % (3730536)Termination reason: Instruction limit
% 13.87/2.93 % (3730536)Termination phase: Saturation
% 13.87/2.93 % (3730536)Time elapsed: 0.035 s
% 13.87/2.93 % (3730536)Peak memory usage: 88 MB
% 13.87/2.93 % (3730536)Instructions burned: 130 (million)
% 13.87/2.93 % (3730452)------------------------------
% 13.87/2.93 % (3730452)------------------------------
% 13.87/2.93 % (3730526)Instruction limit reached!
% 13.87/2.93 % (3730526)------------------------------
% 13.87/2.93 % (3730526)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.87/2.93 % (3730526)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.87/2.93 % (3730526)CaDiCaL version: 2.1.3
% 13.87/2.93 % (3730526)Termination reason: Instruction limit
% 13.87/2.93 % (3730526)Termination phase: Saturation
% 13.87/2.93 % (3730526)Time elapsed: 0.126 s
% 13.87/2.93 % (3730526)Peak memory usage: 89 MB
% 13.87/2.93 % (3730526)Instructions burned: 220 (million)
% 13.87/2.93 % (3730550)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2594416394:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 13.87/2.93 % (3730550)Refutation not found, incomplete strategy
% 13.87/2.93 % (3730550)------------------------------
% 13.87/2.93 % (3730550)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.87/2.93 % (3730550)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.87/2.93 % (3730550)CaDiCaL version: 2.1.3
% 13.87/2.93 % (3730550)Termination reason: Refutation not found, incomplete strategy
% 13.87/2.93 % (3730550)Time elapsed: 0.016 s
% 13.87/2.93 % (3730550)Peak memory usage: 88 MB
% 13.87/2.93 % (3730550)Instructions burned: 47 (million)
% 13.87/2.93 % (3730522)------------------------------
% 13.87/2.93 % (3730522)------------------------------
% 13.87/2.93 % (3730588)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=1500985746:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 13.87/2.93 % (3730586)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1177668447:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 13.87/2.93 % (3730550)------------------------------
% 13.87/2.93 % (3730550)------------------------------
% 13.87/2.93 % (3730586)Instruction limit reached!
% 13.87/2.93 % (3730586)------------------------------
% 13.87/2.93 % (3730586)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.87/2.93 % (3730586)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.87/2.93 % (3730586)CaDiCaL version: 2.1.3
% 13.87/2.93 % (3730586)Termination reason: Instruction limit
% 13.87/2.93 % (3730586)Termination phase: Saturation
% 13.87/2.93 % (3730586)Time elapsed: 0.091 s
% 13.87/2.93 % (3730586)Peak memory usage: 88 MB
% 13.87/2.93 % (3730586)Instructions burned: 157 (million)
% 13.87/2.93 % (3730591)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=287055005:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 13.87/2.93 % (3730591)Refutation not found, incomplete strategy
% 13.87/2.93 % (3730591)------------------------------
% 20.26/3.88 % (3730591)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.26/3.88 % (3730591)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/3.88 % (3730591)CaDiCaL version: 2.1.3
% 20.26/3.88 % (3730591)Termination reason: Refutation not found, incomplete strategy
% 20.26/3.88 % (3730591)Time elapsed: 0.004 s
% 20.26/3.88 % (3730591)Peak memory usage: 87 MB
% 20.26/3.88 % (3730591)Instructions burned: 6 (million)
% 20.26/3.88 % (3730594)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=453452439:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 20.26/3.88 % (3730443)Refutation not found, incomplete strategy
% 20.26/3.88 % (3730443)------------------------------
% 20.26/3.88 % (3730443)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.26/3.88 % (3730443)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/3.88 % (3730443)CaDiCaL version: 2.1.3
% 20.26/3.88 % (3730443)Termination reason: Refutation not found, incomplete strategy
% 20.26/3.88 % (3730443)Time elapsed: 0.622 s
% 20.26/3.88 % (3730443)Peak memory usage: 127 MB
% 20.26/3.88 % (3730443)Instructions burned: 925 (million)
% 20.26/3.88 % (3730594)Instruction limit reached!
% 20.26/3.88 % (3730594)------------------------------
% 20.26/3.88 % (3730594)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.26/3.88 % (3730594)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/3.88 % (3730594)CaDiCaL version: 2.1.3
% 20.26/3.88 % (3730594)Termination reason: Instruction limit
% 20.26/3.88 % (3730594)Termination phase: Saturation
% 20.26/3.88 % (3730594)Time elapsed: 0.031 s
% 20.26/3.88 % (3730594)Peak memory usage: 88 MB
% 20.26/3.88 % (3730594)Instructions burned: 107 (million)
% 20.26/3.88 % (3730595)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2493533661:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 20.26/3.88 % (3730598)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=127611802:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 20.26/3.88 % (3730591)------------------------------
% 20.26/3.88 % (3730591)------------------------------
% 20.26/3.88 % (3730595)Instruction limit reached!
% 20.26/3.88 % (3730595)------------------------------
% 20.26/3.88 % (3730595)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.26/3.88 % (3730595)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/3.88 % (3730595)CaDiCaL version: 2.1.3
% 20.26/3.88 % (3730595)Termination reason: Instruction limit
% 20.26/3.88 % (3730595)Termination phase: Saturation
% 20.26/3.88 % (3730595)Time elapsed: 0.126 s
% 20.26/3.88 % (3730595)Peak memory usage: 88 MB
% 20.26/3.88 % (3730595)Instructions burned: 244 (million)
% 20.26/3.88 % (3730443)------------------------------
% 20.26/3.88 % (3730443)------------------------------
% 20.26/3.88 % (3730602)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=3598772692:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 20.26/3.88 % (3730601)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3809689665:i=134:sd=2:doe=on:ss=axioms:sgt=14_2990 on theBenchmark for (2990ds/134Mi)
% 20.26/3.88 % (3730601)Refutation not found, incomplete strategy
% 20.26/3.88 % (3730601)------------------------------
% 20.26/3.88 % (3730601)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.26/3.88 % (3730601)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/3.88 % (3730601)CaDiCaL version: 2.1.3
% 20.26/3.88 % (3730601)Termination reason: Refutation not found, incomplete strategy
% 20.26/3.88 % (3730601)Time elapsed: 0.036 s
% 20.26/3.88 % (3730601)Peak memory usage: 89 MB
% 20.26/3.88 % (3730601)Instructions burned: 55 (million)
% 20.26/3.88 % (3730603)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1220291661:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 20.26/3.88 % (3730603)Instruction limit reached!
% 20.26/3.88 % (3730603)------------------------------
% 20.26/3.88 % (3730603)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 20.26/3.88 % (3730603)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 20.26/3.88 % (3730603)CaDiCaL version: 2.1.3
% 20.26/3.88 % (3730603)Termination reason: Instruction limit
% 31.73/5.36 % (3730603)Termination phase: Saturation
% 31.73/5.36 % (3730603)Time elapsed: 0.107 s
% 31.73/5.36 % (3730603)Peak memory usage: 88 MB
% 31.73/5.36 % (3730603)Instructions burned: 193 (million)
% 31.73/5.36 % (3730601)------------------------------
% 31.73/5.36 % (3730601)------------------------------
% 31.73/5.36 % (3730602)Instruction limit reached!
% 31.73/5.36 % (3730602)------------------------------
% 31.73/5.36 % (3730602)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.73/5.36 % (3730602)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.73/5.36 % (3730602)CaDiCaL version: 2.1.3
% 31.73/5.36 % (3730602)Termination reason: Instruction limit
% 31.73/5.36 % (3730602)Termination phase: Saturation
% 31.73/5.36 % (3730602)Time elapsed: 0.269 s
% 31.73/5.36 % (3730602)Peak memory usage: 90 MB
% 31.73/5.36 % (3730602)Instructions burned: 500 (million)
% 31.73/5.36 % (3730607)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=2093438337:i=264:kws=precedence:fsr=off_2987 on theBenchmark for (2987ds/264Mi)
% 31.73/5.36 % (3730609)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=4062605802:i=3256:kws=precedence:bd=preordered:av=off_2986 on theBenchmark for (2986ds/3256Mi)
% 31.73/5.36 % (3730608)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=758022904:cond=on:i=156:bs=on:gtg=exists_all:er=known_2986 on theBenchmark for (2986ds/156Mi)
% 31.73/5.36 % (3730607)Instruction limit reached!
% 31.73/5.36 % (3730607)------------------------------
% 31.73/5.36 % (3730607)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.73/5.36 % (3730607)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.73/5.36 % (3730607)CaDiCaL version: 2.1.3
% 31.73/5.36 % (3730607)Termination reason: Instruction limit
% 31.73/5.36 % (3730607)Termination phase: Saturation
% 31.73/5.36 % (3730607)Time elapsed: 0.147 s
% 31.73/5.36 % (3730607)Peak memory usage: 90 MB
% 31.73/5.36 % (3730607)Instructions burned: 264 (million)
% 31.73/5.36 % (3730608)Instruction limit reached!
% 31.73/5.36 % (3730608)------------------------------
% 31.73/5.36 % (3730608)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.73/5.36 % (3730608)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.73/5.36 % (3730608)CaDiCaL version: 2.1.3
% 31.73/5.36 % (3730608)Termination reason: Instruction limit
% 31.73/5.36 % (3730608)Termination phase: Saturation
% 31.73/5.36 % (3730608)Time elapsed: 0.085 s
% 31.73/5.36 % (3730608)Peak memory usage: 88 MB
% 31.73/5.36 % (3730608)Instructions burned: 157 (million)
% 31.73/5.36 % (3730613)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=197639916:i=537:av=off:ss=included_2984 on theBenchmark for (2984ds/537Mi)
% 31.73/5.36 % (3730614)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=1331742790:i=180:bd=preordered:av=off_2984 on theBenchmark for (2984ds/180Mi)
% 31.73/5.36 % (3730614)Instruction limit reached!
% 31.73/5.36 % (3730614)------------------------------
% 31.73/5.36 % (3730614)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.73/5.36 % (3730614)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.73/5.36 % (3730614)CaDiCaL version: 2.1.3
% 31.73/5.36 % (3730614)Termination reason: Instruction limit
% 31.73/5.36 % (3730614)Termination phase: Saturation
% 31.73/5.36 % (3730614)Time elapsed: 0.092 s
% 31.73/5.36 % (3730614)Peak memory usage: 87 MB
% 31.73/5.36 % (3730614)Instructions burned: 181 (million)
% 31.73/5.36 % (3730617)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=2238596654:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2981 on theBenchmark for (2981ds/10307Mi)
% 31.73/5.36 % (3730613)Instruction limit reached!
% 31.73/5.36 % (3730613)------------------------------
% 31.73/5.36 % (3730613)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.73/5.36 % (3730613)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.73/5.36 % (3730613)CaDiCaL version: 2.1.3
% 31.73/5.36 % (3730613)Termination reason: Instruction limit
% 31.73/5.36 % (3730613)Termination phase: Saturation
% 31.73/5.36 % (3730613)Time elapsed: 0.269 s
% 31.73/5.36 % (3730613)Peak memory usage: 88 MB
% 31.73/5.36 % (3730613)Instructions burned: 538 (million)
% 31.73/5.36 % (3730619)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=3942891771:i=412:gtgl=4:gtg=exists_all_2980 on theBenchmark for (2980ds/412Mi)
% 40.29/6.58 % (3730619)Instruction limit reached!
% 40.29/6.58 % (3730619)------------------------------
% 40.29/6.58 % (3730619)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.29/6.58 % (3730619)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.29/6.58 % (3730619)CaDiCaL version: 2.1.3
% 40.29/6.58 % (3730619)Termination reason: Instruction limit
% 40.29/6.58 % (3730619)Termination phase: Saturation
% 40.29/6.58 % (3730619)Time elapsed: 0.197 s
% 40.29/6.58 % (3730619)Peak memory usage: 90 MB
% 40.29/6.58 % (3730619)Instructions burned: 412 (million)
% 40.29/6.58 % (3730621)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=1996111587:s2pl=no:i=8478:s2at=4:nm=6_2977 on theBenchmark for (2977ds/8478Mi)
% 40.29/6.58 % (3730598)Instruction limit reached!
% 40.29/6.58 % (3730598)------------------------------
% 40.29/6.58 % (3730598)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.29/6.58 % (3730598)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.29/6.58 % (3730598)CaDiCaL version: 2.1.3
% 40.29/6.58 % (3730598)Termination reason: Instruction limit
% 40.29/6.58 % (3730598)Termination phase: Saturation
% 40.29/6.58 % (3730598)Time elapsed: 1.692 s
% 40.29/6.58 % (3730598)Peak memory usage: 136 MB
% 40.29/6.58 % (3730598)Instructions burned: 5212 (million)
% 40.29/6.58 % (3730623)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=252861758:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2974 on theBenchmark for (2974ds/303Mi)
% 40.29/6.58 % (3730588)Instruction limit reached!
% 40.29/6.58 % (3730588)------------------------------
% 40.29/6.58 % (3730588)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.29/6.58 % (3730588)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.29/6.58 % (3730588)CaDiCaL version: 2.1.3
% 40.29/6.58 % (3730588)Termination reason: Instruction limit
% 40.29/6.58 % (3730588)Termination phase: Saturation
% 40.29/6.58 % (3730588)Time elapsed: 2.167 s
% 40.29/6.58 % (3730588)Peak memory usage: 142 MB
% 40.29/6.58 % (3730588)Instructions burned: 3394 (million)
% 40.29/6.58 % (3730623)Instruction limit reached!
% 40.29/6.58 % (3730623)------------------------------
% 40.29/6.58 % (3730623)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.29/6.58 % (3730623)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.29/6.58 % (3730623)CaDiCaL version: 2.1.3
% 40.29/6.58 % (3730623)Termination reason: Instruction limit
% 40.29/6.58 % (3730623)Termination phase: Saturation
% 40.29/6.58 % (3730623)Time elapsed: 0.095 s
% 40.29/6.58 % (3730623)Peak memory usage: 90 MB
% 40.29/6.58 % (3730623)Instructions burned: 306 (million)
% 40.29/6.58 % (3730625)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=3397194361:st=4:i=720:sd=3:fsr=off:ss=axioms_2972 on theBenchmark for (2972ds/720Mi)
% 40.29/6.58 % (3730625)Refutation not found, incomplete strategy
% 40.29/6.58 % (3730625)------------------------------
% 40.29/6.58 % (3730625)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.29/6.58 % (3730625)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.29/6.58 % (3730625)CaDiCaL version: 2.1.3
% 40.29/6.58 % (3730625)Termination reason: Refutation not found, incomplete strategy
% 40.29/6.58 % (3730625)Time elapsed: 0.001 s
% 40.29/6.58 % (3730625)Peak memory usage: 88 MB
% 40.29/6.58 % (3730625)Instructions burned: 1 (million)
% 40.29/6.58 % (3730626)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=907209443:i=598:bs=on:bd=preordered:av=off:ss=axioms_2972 on theBenchmark for (2972ds/598Mi)
% 40.29/6.58 % (3730625)------------------------------
% 40.29/6.58 % (3730625)------------------------------
% 40.29/6.58 % (3730621)Refutation not found, incomplete strategy
% 40.29/6.58 % (3730621)------------------------------
% 40.29/6.58 % (3730621)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.29/6.58 % (3730621)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.29/6.58 % (3730621)CaDiCaL version: 2.1.3
% 40.29/6.58 % (3730621)Termination reason: Refutation not found, incomplete strategy
% 40.29/6.58 % (3730621)Time elapsed: 0.612 s
% 40.29/6.58 % (3730621)Peak memory usage: 128 MB
% 40.29/6.58 % (3730621)Instructions burned: 922 (million)
% 40.29/6.58 % (3730629)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=1191501549:i=2989:sd=3:ss=axioms:sgt=60_2969 on theBenchmark for (2969ds/2989Mi)
% 40.29/6.58 % (3730626)Instruction limit reached!
% 40.29/6.58 % (3730626)------------------------------
% 40.29/6.58 % (3730626)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.29/6.58 % (3730626)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.29/6.58 % (3730626)CaDiCaL version: 2.1.3
% 40.29/6.58 % (3730626)Termination reason: Instruction limit
% 40.29/6.58 % (3730626)Termination phase: Saturation
% 40.29/6.58 % (3730626)Time elapsed: 0.322 s
% 40.29/6.58 % (3730626)Peak memory usage: 89 MB
% 40.29/6.58 % (3730626)Instructions burned: 598 (million)
% 40.29/6.58 % (3730621)------------------------------
% 40.29/6.58 % (3730621)------------------------------
% 40.29/6.58 % (3730631)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=1734784491:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2967 on theBenchmark for (2967ds/1997Mi)
% 40.29/6.58 % (3730632)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=1813054010:i=2088:bd=preordered:av=off_2967 on theBenchmark for (2967ds/2088Mi)
% 40.29/6.58 % (3730609)Instruction limit reached!
% 40.29/6.58 % (3730609)------------------------------
% 40.29/6.58 % (3730609)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.29/6.58 % (3730609)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.29/6.58 % (3730609)CaDiCaL version: 2.1.3
% 40.29/6.58 % (3730609)Termination reason: Instruction limit
% 40.29/6.58 % (3730609)Termination phase: Saturation
% 40.29/6.58 % (3730609)Time elapsed: 2.111 s
% 40.29/6.58 % (3730609)Peak memory usage: 138 MB
% 40.29/6.58 % (3730609)Instructions burned: 3256 (million)
% 40.29/6.58 % (3730635)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=469580708:i=1098:nicw=on_2963 on theBenchmark for (2963ds/1098Mi)
% 40.29/6.58 % (3730629)Instruction limit reached!
% 40.29/6.58 % (3730629)------------------------------
% 40.29/6.58 % (3730629)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.29/6.58 % (3730629)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.29/6.58 % (3730629)CaDiCaL version: 2.1.3
% 40.29/6.58 % (3730629)Termination reason: Instruction limit
% 40.29/6.58 % (3730629)Termination phase: Saturation
% 40.29/6.58 % (3730629)Time elapsed: 1.018 s
% 40.29/6.58 % (3730629)Peak memory usage: 142 MB
% 40.29/6.58 % (3730629)Instructions burned: 2995 (million)
% 40.29/6.58 % (3730637)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=4134551398:i=433:bd=preordered_2958 on theBenchmark for (2958ds/433Mi)
% 40.29/6.58 % (3730637)Refutation not found, incomplete strategy
% 40.29/6.58 % (3730637)------------------------------
% 40.29/6.58 % (3730637)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.29/6.58 % (3730637)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.29/6.58 % (3730637)CaDiCaL version: 2.1.3
% 40.29/6.58 % (3730637)Termination reason: Refutation not found, incomplete strategy
% 40.29/6.58 % (3730637)Time elapsed: 0.023 s
% 40.29/6.58 % (3730637)Peak memory usage: 88 MB
% 40.29/6.58 % (3730637)Instructions burned: 68 (million)
% 40.29/6.58 % (3730635)Instruction limit reached!
% 40.29/6.58 % (3730635)------------------------------
% 40.29/6.58 % (3730635)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.29/6.58 % (3730635)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.29/6.58 % (3730635)CaDiCaL version: 2.1.3
% 40.29/6.58 % (3730635)Termination reason: Instruction limit
% 40.29/6.58 % (3730635)Termination phase: Saturation
% 40.29/6.58 % (3730635)Time elapsed: 0.602 s
% 40.29/6.58 % (3730635)Peak memory usage: 94 MB
% 40.29/6.58 % (3730635)Instructions burned: 1099 (million)
% 40.29/6.58 % (3730637)------------------------------
% 40.29/6.58 % (3730637)------------------------------
% 40.29/6.58 % (3730639)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=3313235172:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2956 on theBenchmark for (2956ds/2942Mi)
% 40.29/6.58 % (3730640)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=560530820:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2956 on theBenchmark for (2956ds/6922Mi)
% 40.29/6.58 % (3730632)Instruction limit reached!
% 40.29/6.58 % (3730632)------------------------------
% 40.29/6.58 % (3730632)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.29/6.58 % (3730632)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.29/6.58 % (3730632)CaDiCaL version: 2.1.3
% 40.29/6.58 % (3730632)Termination reason: Instruction limit
% 40.29/6.58 % (3730632)Termination phase: Saturation
% 40.29/6.58 % (3730632)Time elapsed: 1.367 s
% 40.29/6.58 % (3730632)Peak memory usage: 134 MB
% 40.29/6.58 % (3730632)Instructions burned: 2089 (million)
% 40.29/6.58 % (3730631)Instruction limit reached!
% 40.29/6.58 % (3730631)------------------------------
% 40.29/6.58 % (3730631)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.29/6.58 % (3730631)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.29/6.58 % (3730631)CaDiCaL version: 2.1.3
% 40.29/6.58 % (3730631)Termination reason: Instruction limit
% 40.29/6.58 % (3730631)Termination phase: Saturation
% 40.29/6.58 % (3730631)Time elapsed: 1.441 s
% 40.29/6.58 % (3730631)Peak memory usage: 134 MB
% 40.29/6.58 % (3730631)Instructions burned: 1997 (million)
% 40.29/6.58 % (3730640)Refutation not found, incomplete strategy
% 40.29/6.58 % (3730640)------------------------------
% 40.29/6.58 % (3730640)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.29/6.58 % (3730640)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.29/6.58 % (3730640)CaDiCaL version: 2.1.3
% 40.29/6.58 % (3730640)Termination reason: Refutation not found, incomplete strategy
% 40.29/6.58 % (3730640)Time elapsed: 0.377 s
% 40.29/6.58 % (3730640)Peak memory usage: 128 MB
% 40.29/6.58 % (3730640)Instructions burned: 926 (million)
% 40.29/6.58 % (3730643)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=648599939:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2952 on theBenchmark for (2952ds/596Mi)
% 40.29/6.58 % (3730643)Refutation not found, incomplete strategy
% 40.29/6.58 % (3730643)------------------------------
% 40.29/6.58 % (3730643)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 40.29/6.58 % (3730643)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 40.29/6.58 % (3730643)CaDiCaL version: 2.1.3
% 40.29/6.58 % (3730643)Termination reason: Refutation not found, incomplete strategy
% 40.29/6.58 % (3730643)Time elapsed: 0.003 s
% 40.29/6.58 % (3730643)Peak memory usage: 88 MB
% 40.29/6.58 % (3730643)Instructions burned: 9 (million)
% 40.29/6.58 % (3730644)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=978705417:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2951 on theBenchmark for (2951ds/4123Mi)
% 40.29/6.58 % (3730643)------------------------------
% 40.29/6.58 % (3730643)------------------------------
% 40.29/6.58 % (3730640)------------------------------
% 40.29/6.58 % (3730640)------------------------------
% 40.29/6.58 % (3730647)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=1974584831:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2949 on theBenchmark for (2949ds/16411Mi)
% 40.29/6.58 % (3730649)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=2674120744:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2948 on theBenchmark for (2948ds/1670Mi)
% 40.29/6.58 % (3730647)First to succeed.
% 40.29/6.58 % (3730647)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3730401"
% 40.29/6.58 % SZS status Satisfiable for theBenchmark
% 40.29/6.58 % SZS output start Saturation.
% See solution above
% 41.00/6.78 % SZS output start Definitions and Model Updates.
% 41.00/6.78 for all inputs,
% 41.00/6.78 define product(X0,X1,X2) := $true
% 41.00/6.78 % SZS output end Definitions and Model Updates.
% 41.00/6.78 % (3730647)------------------------------
% 41.00/6.78 % (3730647)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.00/6.78 % (3730647)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.00/6.78 % (3730647)CaDiCaL version: 2.1.3
% 41.00/6.78 % (3730647)Termination reason: Satisfiable
% 41.00/6.78 % (3730647)Time elapsed: 0.412 s
% 41.00/6.78 % (3730647)Peak memory usage: 129 MB
% 41.00/6.78 % (3730647)Instructions burned: 1084 (million)
% 41.00/6.78 % (3730647)------------------------------
% 41.00/6.78 % (3730647)------------------------------
% 41.00/6.78 % (3730401)Success in time 5.707 s
% 41.00/6.78 % Vampire exiting
%------------------------------------------------------------------------------