%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP123-1.005 : 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 : n026.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 10:12:39 AM UTC 2026
% Result : Satisfiable 41.80s 7.32s
% Output : Saturation 43.39s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u58,axiom,
~ product(e_5,e_4,e_3) ).
cnf(u63,axiom,
product(e_5,e_4,e_2) ).
cnf(u66,axiom,
~ product(e_5,e_4,e_1) ).
cnf(u84,axiom,
product(e_4,e_5,e_3) ).
cnf(u87,axiom,
~ product(e_4,e_5,e_2) ).
cnf(u91,axiom,
~ product(e_4,e_5,e_1) ).
cnf(u128,negated_conjecture,
~ product(e_2,e_4,e_4) ).
cnf(u133,negated_conjecture,
product(e_2,e_4,e_3) ).
cnf(u136,negated_conjecture,
~ product(e_2,e_4,e_2) ).
cnf(u140,negated_conjecture,
~ product(e_2,e_4,e_1) ).
cnf(u148,negated_conjecture,
~ product(e_3,e_5,e_3) ).
cnf(u153,negated_conjecture,
product(e_3,e_5,e_2) ).
cnf(u156,negated_conjecture,
~ product(e_3,e_5,e_1) ).
cnf(u181,negated_conjecture,
~ product(e_3,e_4,e_4) ).
cnf(u185,negated_conjecture,
~ product(e_3,e_4,e_3) ).
cnf(u189,negated_conjecture,
~ product(e_3,e_4,e_2) ).
cnf(u194,negated_conjecture,
product(e_3,e_4,e_1) ).
cnf(u216,negated_conjecture,
~ product(e_1,e_4,e_4) ).
cnf(u220,negated_conjecture,
~ product(e_1,e_4,e_3) ).
cnf(u224,negated_conjecture,
~ product(e_1,e_4,e_2) ).
cnf(u228,negated_conjecture,
~ product(e_1,e_4,e_1) ).
cnf(u255,negated_conjecture,
~ product(e_2,e_5,e_3) ).
cnf(u259,negated_conjecture,
~ product(e_2,e_5,e_2) ).
cnf(u264,negated_conjecture,
product(e_2,e_5,e_1) ).
cnf(u306,negated_conjecture,
~ product(e_5,e_3,e_4) ).
cnf(u310,negated_conjecture,
~ product(e_5,e_3,e_3) ).
cnf(u314,negated_conjecture,
~ product(e_5,e_3,e_2) ).
cnf(u319,negated_conjecture,
product(e_5,e_3,e_1) ).
cnf(u327,negated_conjecture,
product(e_5,e_2,e_4) ).
cnf(u330,negated_conjecture,
~ product(e_5,e_2,e_3) ).
cnf(u334,negated_conjecture,
~ product(e_5,e_2,e_2) ).
cnf(u338,negated_conjecture,
~ product(e_5,e_2,e_1) ).
cnf(u346,negated_conjecture,
~ product(e_5,e_1,e_4) ).
cnf(u351,negated_conjecture,
product(e_5,e_1,e_3) ).
cnf(u354,negated_conjecture,
~ product(e_5,e_1,e_2) ).
cnf(u358,negated_conjecture,
~ product(e_5,e_1,e_1) ).
cnf(u375,negated_conjecture,
~ product(e_4,e_2,e_4) ).
cnf(u379,negated_conjecture,
~ product(e_4,e_2,e_3) ).
cnf(u383,negated_conjecture,
~ product(e_4,e_2,e_2) ).
cnf(u388,negated_conjecture,
product(e_4,e_2,e_1) ).
cnf(u401,negated_conjecture,
~ product(e_3,e_2,e_4) ).
cnf(u405,negated_conjecture,
~ product(e_3,e_2,e_3) ).
cnf(u409,negated_conjecture,
~ product(e_3,e_2,e_2) ).
cnf(u413,negated_conjecture,
~ product(e_3,e_2,e_1) ).
cnf(u438,negated_conjecture,
~ product(e_4,e_3,e_4) ).
cnf(u442,negated_conjecture,
~ product(e_4,e_3,e_3) ).
cnf(u446,negated_conjecture,
~ product(e_4,e_3,e_2) ).
cnf(u450,negated_conjecture,
~ product(e_4,e_3,e_1) ).
cnf(u500,negated_conjecture,
product(e_2,e_3,e_4) ).
cnf(u503,negated_conjecture,
~ product(e_2,e_3,e_3) ).
cnf(u507,negated_conjecture,
~ product(e_2,e_3,e_2) ).
cnf(u511,negated_conjecture,
~ product(e_2,e_3,e_1) ).
cnf(u526,negated_conjecture,
~ product(e_4,e_1,e_4) ).
cnf(u530,negated_conjecture,
~ product(e_4,e_1,e_3) ).
cnf(u535,negated_conjecture,
product(e_4,e_1,e_2) ).
cnf(u538,negated_conjecture,
~ product(e_4,e_1,e_1) ).
cnf(u553,negated_conjecture,
product(e_3,e_1,e_4) ).
cnf(u556,negated_conjecture,
~ product(e_3,e_1,e_3) ).
cnf(u560,negated_conjecture,
~ product(e_3,e_1,e_2) ).
cnf(u564,negated_conjecture,
~ product(e_3,e_1,e_1) ).
cnf(u578,negated_conjecture,
~ product(e_2,e_1,e_4) ).
cnf(u582,negated_conjecture,
~ product(e_2,e_1,e_3) ).
cnf(u586,negated_conjecture,
~ product(e_2,e_1,e_2) ).
cnf(u590,negated_conjecture,
~ product(e_2,e_1,e_1) ).
cnf(u604,negated_conjecture,
~ product(e_1,e_2,e_4) ).
cnf(u609,negated_conjecture,
product(e_1,e_2,e_3) ).
cnf(u612,negated_conjecture,
~ product(e_1,e_2,e_2) ).
cnf(u616,negated_conjecture,
~ product(e_1,e_2,e_1) ).
cnf(u630,negated_conjecture,
~ product(e_1,e_3,e_4) ).
cnf(u634,negated_conjecture,
~ product(e_1,e_3,e_3) ).
cnf(u639,negated_conjecture,
product(e_1,e_3,e_2) ).
cnf(u642,negated_conjecture,
~ product(e_1,e_3,e_1) ).
cnf(u818,negated_conjecture,
~ product(e_1,e_5,e_3) ).
cnf(u822,negated_conjecture,
~ product(e_1,e_5,e_2) ).
cnf(u826,negated_conjecture,
~ product(e_1,e_5,e_1) ).
cnf(u968,negated_conjecture,
( ~ product(e_4,e_5,X0)
| equalish(e_5,X1)
| ~ product(e_5,X1,X0)
| product(e_1,X1,e_4)
| product(e_1,X1,e_3)
| product(e_1,X1,e_2)
| product(e_1,X1,e_1)
| ~ group_element(X1) ) ).
cnf(u1213,negated_conjecture,
( ~ product(e_5,e_4,X2)
| ~ product(X0,X1,X2)
| ~ product(e_1,X1,X0)
| equalish(X0,e_5) ) ).
cnf(u1584,negated_conjecture,
product(e_1,e_5,e_4) ).
cnf(u2502,negated_conjecture,
( ~ product(e_5,X0,e_5)
| ~ group_element(X0)
| product(e_2,X0,e_4)
| product(e_2,X0,e_3)
| product(e_2,X0,e_2)
| product(e_2,X0,e_1) ) ).
cnf(u3071,negated_conjecture,
~ product(e_4,e_4,e_3) ).
cnf(u3075,negated_conjecture,
~ product(e_4,e_4,e_2) ).
cnf(u4728,negated_conjecture,
~ product(e_2,e_2,e_3) ).
cnf(u4732,negated_conjecture,
~ product(e_2,e_2,e_1) ).
cnf(u4736,negated_conjecture,
( ~ product(X0,e_2,e_2)
| ~ group_element(X0)
| equalish(e_2,X0)
| product(X0,X0,e_4)
| product(X0,X0,e_3)
| product(X0,X0,e_1) ) ).
cnf(u4828,negated_conjecture,
~ product(e_3,e_3,e_4) ).
cnf(u4832,negated_conjecture,
~ product(e_3,e_3,e_1) ).
cnf(u4836,negated_conjecture,
( ~ product(X0,e_3,e_3)
| ~ group_element(X0)
| equalish(e_3,X0)
| product(X0,X0,e_4)
| product(X0,X0,e_2)
| product(X0,X0,e_1) ) ).
cnf(u4947,negated_conjecture,
( ~ product(X0,e_1,e_1)
| ~ group_element(X0)
| equalish(e_1,X0)
| product(X0,X0,e_4)
| product(X0,X0,e_3)
| product(X0,X0,e_2) ) ).
cnf(u4963,negated_conjecture,
( ~ product(X0,e_4,e_4)
| ~ group_element(X0)
| equalish(e_4,X0)
| product(X0,X0,e_3)
| product(X0,X0,e_2)
| product(X0,X0,e_1) ) ).
cnf(u3583,negated_conjecture,
( ~ product(e_4,e_1,X0)
| equalish(X0,e_2) ) ).
cnf(u3608,negated_conjecture,
( ~ product(e_5,e_1,X0)
| equalish(X0,e_3) ) ).
cnf(u4382,negated_conjecture,
( ~ group_element(X1)
| equalish(X1,e_4)
| ~ group_element(X0)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| ~ product(e_2,X0,X1) ) ).
cnf(u1140,negated_conjecture,
( ~ product(e_5,X0,e_2)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u4177,axiom,
( ~ group_element(X1)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ group_element(X0)
| product(X0,X1,e_2)
| equalish(e_4,X1)
| product(X0,X1,e_1)
| product(X0,e_4,e_1)
| product(X0,e_4,e_2)
| product(X0,e_4,e_3)
| product(X0,e_4,e_4) ) ).
cnf(u952,negated_conjecture,
( ~ group_element(X3)
| ~ product(X1,X0,X2)
| equalish(X1,e_5)
| ~ product(e_4,X0,X1)
| product(e_4,X3,e_1)
| product(e_4,X3,e_2)
| product(e_4,X3,e_3)
| product(e_4,X3,e_4)
| ~ product(e_5,X3,X2) ) ).
cnf(u4657,negated_conjecture,
( ~ group_element(X0)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| equalish(X0,e_2)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_4) ) ).
cnf(u3188,negated_conjecture,
( ~ product(e_2,e_5,X0)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_5) ) ).
cnf(u4551,axiom,
( ~ group_element(X0)
| product(X0,e_2,e_4)
| product(X0,e_2,e_3)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1)
| product(X0,e_4,e_1)
| product(X0,e_4,e_2)
| product(X0,e_4,e_3)
| product(X0,e_4,e_4) ) ).
cnf(u3569,negated_conjecture,
( ~ product(e_5,e_3,X2)
| equalish(X1,e_3)
| ~ product(e_4,X1,X0)
| ~ product(X0,X1,X2) ) ).
cnf(u3611,negated_conjecture,
( ~ product(e_3,e_1,X0)
| ~ product(e_5,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_3) ) ).
cnf(u3609,negated_conjecture,
( ~ product(e_5,X0,e_3)
| equalish(X0,e_1) ) ).
cnf(u3394,negated_conjecture,
( ~ product(e_5,e_2,X0)
| equalish(X0,e_4) ) ).
cnf(u3731,negated_conjecture,
( ~ product(e_2,X0,e_3)
| equalish(X0,e_4) ) ).
cnf(u3175,negated_conjecture,
( ~ product(X0,e_5,e_1)
| equalish(X0,e_2) ) ).
cnf(u4174,axiom,
( ~ group_element(X1)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ group_element(X0)
| product(X0,X1,e_2)
| equalish(e_1,X1)
| product(X0,X1,e_1)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4) ) ).
cnf(u907,negated_conjecture,
( ~ group_element(X2)
| ~ product(X2,X3,X4)
| ~ product(X4,X3,X1)
| equalish(X4,e_5)
| ~ group_element(X0)
| product(X2,X0,e_1)
| product(X2,X0,e_2)
| product(X2,X0,e_3)
| product(X2,X0,e_4)
| ~ product(e_5,X0,X1) ) ).
cnf(u4621,negated_conjecture,
( ~ product(e_3,X0,e_2)
| ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_4)
| equalish(X0,e_4) ) ).
cnf(u4399,negated_conjecture,
( ~ group_element(X0)
| ~ product(X2,X1,e_3)
| equalish(X1,e_5)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| ~ product(X0,X1,X2) ) ).
cnf(u4259,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X1,X0,e_4)
| equalish(X1,e_2) ) ).
cnf(u4976,negated_conjecture,
( ~ product(e_1,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)
| ~ group_element(X0) ) ).
cnf(u3359,negated_conjecture,
( ~ product(e_1,e_2,X0)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_1) ) ).
cnf(u3180,negated_conjecture,
( ~ product(e_1,e_5,X0)
| ~ 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)
| ~ product(e_5,X1,X0) ) ).
cnf(u3825,negated_conjecture,
~ product(e_5,e_5,e_4) ).
cnf(u1717,negated_conjecture,
( ~ product(e_5,X0,e_3)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u3174,negated_conjecture,
( ~ product(e_2,X0,e_1)
| equalish(X0,e_5) ) ).
cnf(u2984,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| equalish(X0,e_1) ) ).
cnf(u3096,negated_conjecture,
( ~ group_element(X0)
| 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(e_5,X0,e_1)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4) ) ).
cnf(u73,axiom,
( ~ product(X1,e_5,e_4)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| ~ group_element(X0)
| product(X0,e_5,e_1)
| equalish(X1,X0) ) ).
cnf(u4312,negated_conjecture,
~ product(e_2,e_3,e_5) ).
cnf(u3571,negated_conjecture,
( ~ product(e_4,e_3,X0)
| equalish(X0,e_5) ) ).
cnf(u546,negated_conjecture,
~ product(e_3,e_1,e_5) ).
cnf(u5016,negated_conjecture,
( ~ product(e_2,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)
| ~ group_element(X0) ) ).
cnf(u3737,negated_conjecture,
( ~ product(e_3,e_4,X0)
| ~ 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)
| ~ product(e_5,X1,X0) ) ).
cnf(u4983,negated_conjecture,
( ~ group_element(X0)
| product(e_5,X0,e_3)
| product(e_5,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(u4524,axiom,
( ~ group_element(X0)
| product(X0,e_4,e_4)
| product(X0,e_4,e_3)
| product(X0,e_4,e_2)
| product(X0,e_4,e_1)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4) ) ).
cnf(u4327,negated_conjecture,
( ~ group_element(X1)
| equalish(X0,e_4)
| ~ group_element(X0)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| ~ product(e_3,X0,X1) ) ).
cnf(u3386,negated_conjecture,
( ~ product(e_4,e_1,X0)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_1) ) ).
cnf(u288,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X1,X0,X2)
| equalish(X0,X3)
| ~ group_element(X3)
| product(e_2,X3,e_1)
| product(e_2,X3,e_2)
| product(e_2,X3,e_3)
| product(e_2,X3,e_4)
| ~ product(e_5,X3,X2) ) ).
cnf(u3395,negated_conjecture,
( ~ product(e_5,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(u2078,axiom,
( ~ group_element(X2)
| equalish(X0,X1)
| product(X1,X2,e_1)
| product(X1,X2,e_2)
| product(X1,X2,e_3)
| product(X1,X2,e_4)
| ~ group_element(X1)
| product(X0,X2,e_1)
| product(X0,X2,e_2)
| product(X0,X2,e_3)
| product(X0,X2,e_4)
| ~ group_element(X0) ) ).
cnf(u3383,negated_conjecture,
( ~ product(e_3,X0,e_4)
| equalish(X0,e_1) ) ).
cnf(u2946,negated_conjecture,
( ~ product(e_1,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(u3754,negated_conjecture,
( ~ product(X1,X0,e_1)
| ~ product(e_4,X0,X1)
| equalish(X0,e_3) ) ).
cnf(u3648,axiom,
( ~ group_element(X1)
| product(e_5,X0,e_3)
| ~ group_element(X0)
| equalish(X0,e_5)
| product(e_5,X0,e_1)
| equalish(X1,X0)
| product(e_5,X1,e_1)
| product(e_5,X1,e_2)
| product(e_5,X1,e_3)
| product(e_5,X0,e_2)
| equalish(X1,e_5) ) ).
cnf(u4671,negated_conjecture,
( ~ product(e_4,X0,e_1)
| ~ group_element(X0)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| equalish(X0,e_1) ) ).
cnf(u4635,negated_conjecture,
( ~ product(e_3,X0,e_2)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u4252,negated_conjecture,
( ~ product(e_3,X0,e_1)
| equalish(X0,e_4) ) ).
cnf(u4372,negated_conjecture,
~ product(e_2,e_5,e_5) ).
cnf(u2945,negated_conjecture,
( ~ product(e_1,e_5,X0)
| equalish(X0,e_4) ) ).
cnf(u4196,negated_conjecture,
( ~ group_element(X1)
| equalish(X1,e_3)
| ~ group_element(X0)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| ~ product(e_1,X0,X1) ) ).
cnf(u624,negated_conjecture,
~ product(e_1,e_3,e_5) ).
cnf(u74,axiom,
( ~ group_element(X0)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| product(X0,e_5,e_1)
| ~ product(X0,X1,e_4)
| equalish(X1,e_5) ) ).
cnf(u5003,negated_conjecture,
( ~ group_element(X0)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,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(u43,axiom,
( ~ product(e_5,X1,e_4)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| ~ group_element(X0)
| equalish(X0,e_5)
| product(e_5,X0,e_1)
| equalish(X1,X0) ) ).
cnf(u939,negated_conjecture,
( ~ product(e_4,X0,e_5)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| ~ group_element(X0)
| equalish(X0,e_5) ) ).
cnf(u4268,negated_conjecture,
( ~ product(e_2,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(u46,axiom,
( ~ product(X0,X1,X1)
| equalish(X0,X1) ) ).
cnf(product_right_cancellation,axiom,
( ~ product(X0,X3,X2)
| ~ product(X0,X1,X2)
| equalish(X1,X3) ) ).
cnf(u4239,negated_conjecture,
( ~ product(X1,X0,e_1)
| ~ product(e_2,X0,X1)
| equalish(X1,e_3) ) ).
cnf(u2551,axiom,
( ~ group_element(X0)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4)
| product(e_4,X0,e_1)
| ~ product(e_4,X0,X1)
| equalish(X1,e_5) ) ).
cnf(qg1_2,negated_conjecture,
( ~ product(X5,X4,X3)
| ~ product(X3,X4,X2)
| ~ product(X5,X1,X0)
| ~ product(X0,X1,X2)
| equalish(X1,X4) ) ).
cnf(u5030,negated_conjecture,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X1,X1,e_1)
| product(X1,X1,e_3)
| product(X1,X1,e_4)
| equalish(X0,X1)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| ~ product(X1,X0,e_2) ) ).
cnf(u4251,negated_conjecture,
( ~ product(e_3,e_4,X0)
| equalish(X0,e_1) ) ).
cnf(u4647,negated_conjecture,
( ~ product(e_1,X0,e_4)
| ~ group_element(X0)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(product_total_function1,axiom,
( product(X0,X1,e_5)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ group_element(X0) ) ).
cnf(u4255,negated_conjecture,
( ~ product(e_1,e_4,X0)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_4) ) ).
cnf(e_5_is_not_e_4,axiom,
~ equalish(e_5,e_4) ).
cnf(u4716,negated_conjecture,
( ~ group_element(X1)
| ~ group_element(X0)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_4)
| equalish(e_3,X0)
| product(e_3,X1,e_1)
| product(e_3,X1,e_2)
| product(e_3,X1,e_4)
| ~ product(X0,X1,e_3) ) ).
cnf(u4156,negated_conjecture,
( ~ product(e_3,X0,X1)
| ~ product(X1,X0,e_2)
| equalish(X0,e_1) ) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2) ).
cnf(u4178,axiom,
( ~ group_element(X1)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ group_element(X0)
| product(X0,X1,e_2)
| equalish(e_5,X1)
| product(X0,X1,e_1)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4) ) ).
cnf(e_5_is_not_e_1,axiom,
~ equalish(e_5,e_1) ).
cnf(u2053,negated_conjecture,
( ~ product(e_5,X0,e_3)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u4212,negated_conjecture,
( ~ group_element(X1)
| equalish(X1,e_2)
| ~ group_element(X0)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| ~ product(e_4,X0,X1) ) ).
cnf(e_4_is_not_e_5,axiom,
~ equalish(e_4,e_5) ).
cnf(u4072,negated_conjecture,
( ~ product(X1,X0,e_1)
| ~ product(e_5,X0,X1)
| equalish(X1,e_4) ) ).
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(u4194,negated_conjecture,
( ~ product(X1,X0,e_5)
| ~ product(e_1,X0,X1)
| equalish(X1,e_3) ) ).
cnf(u2079,axiom,
( ~ group_element(X0)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| equalish(e_5,X0) ) ).
cnf(element_2,axiom,
group_element(e_2) ).
cnf(u3322,negated_conjecture,
( ~ product(e_3,e_2,X0)
| equalish(X0,e_5) ) ).
cnf(element_1,axiom,
group_element(e_1) ).
cnf(u4408,axiom,
( ~ group_element(X0)
| product(X1,e_5,e_1)
| product(X1,e_5,e_2)
| product(X1,e_5,e_3)
| product(X1,e_5,e_4)
| ~ group_element(X1)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| equalish(X0,X1) ) ).
cnf(u4031,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X1,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(u4274,negated_conjecture,
( ~ product(e_4,e_3,X0)
| ~ 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)
| ~ product(e_5,X1,X0) ) ).
cnf(u3696,negated_conjecture,
( ~ product(e_1,X0,e_2)
| equalish(X0,e_3) ) ).
cnf(u3582,negated_conjecture,
( ~ product(e_5,X0,e_2)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u3734,negated_conjecture,
( ~ product(e_3,e_4,X0)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_4) ) ).
cnf(u3829,negated_conjecture,
( ~ product(X1,X0,e_3)
| ~ product(e_5,X0,X1)
| equalish(X1,e_2) ) ).
cnf(u3479,negated_conjecture,
( ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| equalish(X0,e_2)
| equalish(X0,e_5) ) ).
cnf(u108,negated_conjecture,
( ~ product(X2,X1,X0)
| ~ product(X0,X1,X2)
| equalish(X1,X0) ) ).
cnf(u4014,negated_conjecture,
~ product(e_5,e_5,e_1) ).
cnf(u4169,negated_conjecture,
( ~ product(X1,X0,e_5)
| ~ product(e_4,X0,X1)
| equalish(X0,e_1) ) ).
cnf(u4210,negated_conjecture,
( ~ product(X1,X0,e_5)
| ~ product(e_4,X0,X1)
| equalish(X1,e_2) ) ).
cnf(u4949,negated_conjecture,
( ~ product(X0,e_4,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| product(X0,X0,e_4)
| equalish(e_1,X0)
| ~ group_element(X0) ) ).
cnf(u3204,axiom,
( ~ product(e_4,e_5,X0)
| equalish(X0,e_3) ) ).
cnf(u3173,negated_conjecture,
( ~ product(e_2,e_5,X0)
| equalish(X0,e_1) ) ).
cnf(u984,negated_conjecture,
( ~ group_element(X0)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_1)
| equalish(X0,e_5)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4) ) ).
cnf(u3176,negated_conjecture,
( ~ product(e_1,e_5,X0)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_1) ) ).
cnf(u2947,negated_conjecture,
( ~ product(X0,e_5,e_4)
| equalish(X0,e_1) ) ).
cnf(u3358,negated_conjecture,
( ~ product(X0,e_2,e_1)
| equalish(X0,e_4) ) ).
cnf(u3693,negated_conjecture,
( ~ product(e_2,e_3,X0)
| equalish(e_3,X1)
| ~ 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)
| ~ product(e_5,X1,X0) ) ).
cnf(u3357,negated_conjecture,
( ~ product(e_4,X0,e_1)
| equalish(X0,e_2) ) ).
cnf(u1138,negated_conjecture,
( ~ product(e_2,e_2,X0)
| ~ 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)
| ~ product(e_5,X1,X0) ) ).
cnf(u2552,axiom,
( ~ group_element(X0)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| product(e_5,X0,e_1)
| ~ product(e_5,X0,X1)
| equalish(X1,e_5) ) ).
cnf(u4175,axiom,
( ~ group_element(X1)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ group_element(X0)
| product(X0,X1,e_2)
| equalish(e_2,X1)
| product(X0,X1,e_1)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| product(X0,e_2,e_4) ) ).
cnf(u4495,axiom,
( ~ group_element(X0)
| product(X0,e_4,e_4)
| product(X0,e_4,e_3)
| product(X0,e_4,e_2)
| product(X0,e_4,e_1)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4) ) ).
cnf(u3758,negated_conjecture,
( ~ product(e_5,e_3,X0)
| equalish(X0,e_1) ) ).
cnf(u4260,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X1,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(u4619,negated_conjecture,
( ~ product(e_3,X0,e_5)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| equalish(X0,e_4) ) ).
cnf(u3762,negated_conjecture,
( ~ product(e_1,e_3,X0)
| ~ product(e_5,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_3) ) ).
cnf(element_4,axiom,
group_element(e_4) ).
cnf(u2548,axiom,
( ~ group_element(X0)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4)
| product(e_1,X0,e_1)
| ~ product(e_1,X0,X1)
| equalish(X1,e_5) ) ).
cnf(u4132,negated_conjecture,
( ~ group_element(X1)
| equalish(X0,e_2)
| ~ group_element(X0)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| ~ product(e_1,X0,X1) ) ).
cnf(u4123,negated_conjecture,
~ product(e_2,e_2,e_4) ).
cnf(u4494,axiom,
( ~ group_element(X0)
| product(X0,e_5,e_4)
| product(X0,e_5,e_3)
| product(X0,e_5,e_2)
| product(X0,e_5,e_1)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4) ) ).
cnf(u2542,axiom,
( ~ group_element(X0)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| product(e_5,X0,e_1)
| equalish(e_5,X0) ) ).
cnf(u4005,negated_conjecture,
( ~ product(X1,X0,e_4)
| ~ product(e_5,X0,X1)
| equalish(X0,e_1) ) ).
cnf(u5052,negated_conjecture,
( ~ product(X0,e_2,e_3)
| product(X0,X0,e_1)
| product(X0,X0,e_4)
| equalish(e_2,X0)
| ~ group_element(X0) ) ).
cnf(u119,negated_conjecture,
~ product(e_3,e_5,e_4) ).
cnf(u4405,axiom,
( ~ group_element(X0)
| product(X1,e_2,e_1)
| product(X1,e_2,e_2)
| product(X1,e_2,e_3)
| product(X1,e_2,e_4)
| ~ group_element(X1)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| product(X0,e_2,e_4)
| equalish(X0,X1) ) ).
cnf(u4002,negated_conjecture,
~ product(e_5,e_3,e_5) ).
cnf(u105,negated_conjecture,
( ~ group_element(X0)
| ~ product(e_5,X2,X3)
| ~ product(X3,X2,X1)
| equalish(X2,X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| ~ product(e_4,X0,X1)
| equalish(X0,e_5) ) ).
cnf(u4172,negated_conjecture,
~ product(e_4,e_5,e_5) ).
cnf(u3610,negated_conjecture,
( ~ product(X0,e_1,e_3)
| equalish(X0,e_5) ) ).
cnf(u4271,negated_conjecture,
( ~ product(e_4,e_3,X0)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_3) ) ).
cnf(u1708,negated_conjecture,
( ~ product(e_3,e_3,X0)
| equalish(e_3,X1)
| ~ 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)
| ~ product(e_5,X1,X0) ) ).
cnf(u924,negated_conjecture,
( ~ product(X2,X1,e_5)
| ~ product(X0,X1,X2)
| equalish(X2,X0)
| ~ group_element(X0)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| product(X0,X0,e_4) ) ).
cnf(u290,negated_conjecture,
( ~ group_element(X3)
| ~ product(X1,X0,X2)
| equalish(X0,X3)
| ~ product(e_4,X0,X1)
| product(e_4,X3,e_1)
| product(e_4,X3,e_2)
| product(e_4,X3,e_3)
| product(e_4,X3,e_4)
| ~ product(e_5,X3,X2) ) ).
cnf(u4270,negated_conjecture,
( ~ product(e_4,e_3,X0)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_4) ) ).
cnf(u102,negated_conjecture,
( ~ product(X0,X0,X1)
| ~ product(X0,X2,X3)
| ~ product(X3,X2,X1)
| equalish(X2,X0) ) ).
cnf(u5031,negated_conjecture,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X1,X1,e_2)
| product(X1,X1,e_3)
| product(X1,X1,e_4)
| equalish(X0,X1)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4)
| ~ product(X1,X0,e_1) ) ).
cnf(u4445,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| product(X0,e_3,e_4)
| product(X0,e_3,e_1)
| equalish(e_4,X0) ) ).
cnf(u3587,negated_conjecture,
( ~ product(e_2,e_1,X0)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_1) ) ).
cnf(u3748,negated_conjecture,
~ product(e_4,e_4,e_5) ).
cnf(u4689,negated_conjecture,
( ~ product(e_2,X0,e_5)
| ~ group_element(X0)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(u369,negated_conjecture,
~ product(e_4,e_2,e_5) ).
cnf(u4267,negated_conjecture,
( ~ product(e_2,e_3,X0)
| equalish(X0,e_4) ) ).
cnf(u53,axiom,
( product(X0,e_5,e_4)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| ~ group_element(X0) ) ).
cnf(u4019,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| product(X0,e_5,e_2)
| product(X0,e_5,e_1)
| equalish(e_1,X0) ) ).
cnf(u4254,negated_conjecture,
( ~ product(e_1,e_4,X0)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_1) ) ).
cnf(u3207,negated_conjecture,
( ~ product(e_3,e_5,X0)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_3) ) ).
cnf(u47,axiom,
( ~ product(X0,X1,e_5)
| equalish(X0,X2)
| ~ group_element(X1)
| product(X2,X1,e_1)
| product(X2,X1,e_2)
| product(X2,X1,e_3)
| product(X2,X1,e_4)
| ~ group_element(X2) ) ).
cnf(u5029,negated_conjecture,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X1,X1,e_1)
| product(X1,X1,e_2)
| product(X1,X1,e_4)
| equalish(X0,X1)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| ~ product(X1,X0,e_3) ) ).
cnf(u34,axiom,
( ~ product(X0,X1,X0)
| equalish(X1,X0) ) ).
cnf(u3385,negated_conjecture,
( ~ product(e_4,e_1,X0)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_4) ) ).
cnf(u5041,negated_conjecture,
( ~ product(X0,e_1,e_2)
| product(X0,X0,e_3)
| product(X0,X0,e_4)
| equalish(e_1,X0)
| ~ group_element(X0) ) ).
cnf(u3381,negated_conjecture,
( ~ product(e_4,e_1,X0)
| equalish(e_1,X1)
| ~ 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)
| ~ product(e_5,X1,X0) ) ).
cnf(u3986,negated_conjecture,
( ~ product(X1,X0,e_2)
| ~ product(e_5,X0,X1)
| equalish(X0,e_3) ) ).
cnf(u960,negated_conjecture,
( ~ product(e_1,e_1,X0)
| equalish(e_1,X1)
| ~ 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)
| ~ product(e_5,X1,X0) ) ).
cnf(u3761,negated_conjecture,
( ~ product(e_1,e_3,X0)
| ~ product(e_5,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_1) ) ).
cnf(u4013,negated_conjecture,
~ product(e_5,e_2,e_5) ).
cnf(u3177,negated_conjecture,
( ~ product(e_1,e_5,X0)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_5) ) ).
cnf(u4238,negated_conjecture,
~ product(e_4,e_5,e_4) ).
cnf(u3184,negated_conjecture,
( ~ product(e_3,e_5,X0)
| equalish(X0,e_2) ) ).
cnf(u3206,axiom,
( ~ product(X0,e_5,e_3)
| equalish(X0,e_4) ) ).
cnf(u4389,negated_conjecture,
( ~ product(X1,X0,e_1)
| ~ product(e_3,X0,X1)
| equalish(X1,e_2) ) ).
cnf(u4300,negated_conjecture,
( ~ group_element(X0)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| product(e_3,X0,e_1)
| product(e_5,X0,e_4) ) ).
cnf(u3733,negated_conjecture,
( ~ product(e_3,e_4,X0)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_3) ) ).
cnf(u4241,negated_conjecture,
( ~ product(e_5,X0,e_1)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u3284,negated_conjecture,
( ~ product(e_1,e_2,X0)
| equalish(X0,e_3) ) ).
cnf(u3253,negated_conjecture,
( ~ product(e_5,X0,e_4)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u3792,negated_conjecture,
~ product(e_1,e_1,e_4) ).
cnf(u3975,negated_conjecture,
( ~ group_element(X0)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| product(e_2,X0,e_2)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u3855,negated_conjecture,
~ product(e_1,e_1,e_5) ).
cnf(u3899,negated_conjecture,
~ product(e_3,e_5,e_5) ).
cnf(u3730,negated_conjecture,
( ~ product(e_2,e_4,X0)
| equalish(X0,e_3) ) ).
cnf(u908,negated_conjecture,
( ~ product(e_4,e_5,X0)
| ~ product(X1,X2,X3)
| ~ product(X3,X2,X0)
| equalish(X3,e_4)
| product(X1,e_5,e_1)
| product(X1,e_5,e_2)
| product(X1,e_5,e_3)
| equalish(X1,e_5)
| ~ group_element(X1) ) ).
cnf(u2550,axiom,
( ~ group_element(X0)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| product(e_3,X0,e_1)
| ~ product(e_3,X0,X1)
| equalish(X1,e_5) ) ).
cnf(u4669,negated_conjecture,
( ~ product(e_4,X0,e_3)
| ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| equalish(X0,e_1) ) ).
cnf(u5080,negated_conjecture,
( ~ group_element(X1)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| product(X0,X0,e_4)
| ~ 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)
| equalish(X1,X0)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4) ) ).
cnf(u3741,axiom,
( ~ product(e_5,e_4,X0)
| equalish(X0,e_2) ) ).
cnf(u3389,negated_conjecture,
( ~ product(e_4,e_1,X0)
| ~ 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)
| ~ product(e_5,X1,X0) ) ).
cnf(u4692,negated_conjecture,
( ~ product(e_2,X0,e_3)
| ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(u3585,negated_conjecture,
( ~ product(X0,e_1,e_2)
| equalish(X0,e_4) ) ).
cnf(u75,axiom,
( ~ group_element(X0)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| product(X0,e_5,e_1)
| ~ product(X0,e_5,X1)
| equalish(X1,e_4) ) ).
cnf(u3570,negated_conjecture,
( ~ product(e_5,e_3,X2)
| equalish(X0,e_5)
| ~ product(e_4,X1,X0)
| ~ product(X0,X1,X2) ) ).
cnf(u4997,negated_conjecture,
( ~ product(e_4,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)
| ~ group_element(X0) ) ).
cnf(u4213,negated_conjecture,
( ~ product(e_3,X0,X1)
| ~ product(X1,X0,e_2)
| equalish(X1,e_4) ) ).
cnf(u4590,negated_conjecture,
( ~ product(e_5,X0,e_5)
| ~ 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(u33,axiom,
( ~ product(X0,X0,X1)
| equalish(X1,X0) ) ).
cnf(u4293,negated_conjecture,
( ~ product(e_5,X0,e_5)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u4543,negated_conjecture,
( ~ group_element(X2)
| equalish(X1,X0)
| ~ group_element(X0)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| product(X0,X0,e_4)
| ~ 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,X2) ) ).
cnf(product_total_function2,axiom,
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| equalish(X2,X3) ) ).
cnf(u3744,negated_conjecture,
( ~ product(e_2,e_4,X0)
| ~ product(e_5,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_2) ) ).
cnf(product_idempotence,axiom,
product(X0,X0,X0) ).
cnf(u4221,negated_conjecture,
( ~ product(X1,X0,e_1)
| ~ product(e_3,X0,X1)
| equalish(X0,e_5) ) ).
cnf(product_left_cancellation,axiom,
( ~ product(X3,X1,X2)
| ~ product(X0,X1,X2)
| equalish(X0,X3) ) ).
cnf(u4978,negated_conjecture,
( ~ product(e_1,X0,e_2)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| ~ group_element(X0) ) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4) ).
cnf(u3645,negated_conjecture,
( ~ product(X1,X0,e_2)
| ~ product(e_4,X0,X1)
| equalish(X0,e_5) ) ).
cnf(u2055,negated_conjecture,
( ~ product(e_5,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4)
| ~ group_element(X0) ) ).
cnf(e_5_is_not_e_2,axiom,
~ equalish(e_5,e_2) ).
cnf(u4151,negated_conjecture,
~ product(e_4,e_1,e_5) ).
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(element_3,axiom,
group_element(e_3) ).
cnf(u4678,negated_conjecture,
( ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| equalish(X0,e_1)
| product(e_4,X0,e_1)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4) ) ).
cnf(u289,negated_conjecture,
( ~ product(e_3,X0,X1)
| ~ product(X1,X0,X2)
| equalish(X0,X3)
| ~ group_element(X3)
| product(e_3,X3,e_1)
| product(e_3,X3,e_2)
| product(e_3,X3,e_3)
| product(e_3,X3,e_4)
| ~ product(e_5,X3,X2) ) ).
cnf(u2063,negated_conjecture,
( ~ group_element(X0)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_1)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u5018,negated_conjecture,
( ~ product(e_2,X0,e_1)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4)
| ~ group_element(X0) ) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2) ).
cnf(u4197,negated_conjecture,
( ~ product(X1,X0,e_3)
| ~ product(e_4,X0,X1)
| equalish(X1,e_1) ) ).
cnf(element_5,axiom,
group_element(e_5) ).
cnf(u4063,negated_conjecture,
( ~ product(X1,X0,e_4)
| ~ product(e_5,X0,X1)
| equalish(X1,e_3) ) ).
cnf(u120,negated_conjecture,
~ product(e_2,e_4,e_5) ).
cnf(u3287,negated_conjecture,
( ~ product(e_3,e_2,X0)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_3) ) ).
cnf(u2949,negated_conjecture,
( ~ product(e_4,e_5,X0)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_5) ) ).
cnf(u114,negated_conjecture,
( ~ group_element(X1)
| equalish(X0,e_5)
| ~ group_element(X0)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| ~ product(e_5,X0,X1) ) ).
cnf(u915,negated_conjecture,
( ~ group_element(X0)
| ~ product(e_5,X2,X3)
| ~ product(X3,X2,X1)
| equalish(X3,e_4)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| ~ product(e_4,X0,X1)
| equalish(X0,e_5) ) ).
cnf(u116,negated_conjecture,
( ~ product(e_4,X0,e_5)
| equalish(X0,e_4)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| ~ group_element(X0)
| equalish(X0,e_5) ) ).
cnf(u950,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X1,X0,X2)
| equalish(X1,e_5)
| ~ group_element(X3)
| product(e_2,X3,e_1)
| product(e_2,X3,e_2)
| product(e_2,X3,e_3)
| product(e_2,X3,e_4)
| ~ product(e_5,X3,X2) ) ).
cnf(u4550,axiom,
( ~ group_element(X0)
| product(X0,e_3,e_4)
| product(X0,e_3,e_3)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1)
| product(X0,e_4,e_1)
| product(X0,e_4,e_2)
| product(X0,e_4,e_3)
| product(X0,e_4,e_4) ) ).
cnf(u4407,axiom,
( ~ group_element(X0)
| product(X1,e_4,e_1)
| product(X1,e_4,e_2)
| product(X1,e_4,e_3)
| product(X1,e_4,e_4)
| ~ group_element(X1)
| product(X0,e_4,e_1)
| product(X0,e_4,e_2)
| product(X0,e_4,e_3)
| product(X0,e_4,e_4)
| equalish(X0,X1) ) ).
cnf(u4015,negated_conjecture,
~ product(e_5,e_4,e_4) ).
cnf(u4718,negated_conjecture,
( ~ group_element(X1)
| ~ group_element(X0)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| product(X0,X0,e_4)
| equalish(e_1,X0)
| product(e_1,X1,e_2)
| product(e_1,X1,e_3)
| product(e_1,X1,e_4)
| ~ product(X0,X1,e_1) ) ).
cnf(u3836,negated_conjecture,
( ~ product(X1,X0,e_2)
| ~ product(e_4,X0,X1)
| equalish(X1,e_3) ) ).
cnf(u3286,negated_conjecture,
( ~ product(X0,e_2,e_3)
| equalish(X0,e_1) ) ).
cnf(u4717,negated_conjecture,
( ~ group_element(X1)
| ~ group_element(X0)
| product(X0,X0,e_1)
| product(X0,X0,e_3)
| product(X0,X0,e_4)
| equalish(e_2,X0)
| product(e_2,X1,e_1)
| product(e_2,X1,e_3)
| product(e_2,X1,e_4)
| ~ product(X0,X1,e_2) ) ).
cnf(u4130,negated_conjecture,
( ~ product(X1,X0,e_5)
| ~ product(e_1,X0,X1)
| equalish(X0,e_2) ) ).
cnf(u3680,negated_conjecture,
( ~ product(e_1,e_4,X0)
| equalish(X0,e_5) ) ).
cnf(u3743,axiom,
( ~ product(X0,e_4,e_2)
| equalish(X0,e_5) ) ).
cnf(u4633,negated_conjecture,
( ~ product(e_3,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)
| ~ group_element(X0) ) ).
cnf(u4171,negated_conjecture,
( ~ group_element(X1)
| equalish(X0,e_1)
| ~ group_element(X0)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| ~ product(e_4,X0,X1) ) ).
cnf(u5017,negated_conjecture,
( ~ product(e_2,X0,e_3)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u4018,axiom,
( ~ group_element(X1)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| ~ group_element(X0)
| product(X0,e_5,e_1)
| equalish(X1,X0)
| product(X1,e_5,e_1)
| product(X1,e_5,e_2)
| product(X1,e_5,e_3)
| equalish(X1,e_5)
| product(X0,e_5,e_2) ) ).
cnf(u3203,negated_conjecture,
( ~ product(e_5,X0,e_3)
| equalish(e_5,X0)
| product(e_1,X0,e_4)
| product(e_1,X0,e_3)
| product(e_1,X0,e_2)
| product(e_1,X0,e_1)
| ~ group_element(X0) ) ).
cnf(u5076,negated_conjecture,
( ~ product(X0,e_4,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| equalish(e_4,X0)
| ~ group_element(X0) ) ).
cnf(u3191,negated_conjecture,
( ~ product(e_2,e_5,X0)
| ~ 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)
| ~ product(e_5,X1,X0) ) ).
cnf(u3205,axiom,
( ~ product(e_4,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u3396,negated_conjecture,
( ~ product(X0,e_2,e_4)
| equalish(X0,e_5) ) ).
cnf(u4977,negated_conjecture,
( ~ product(e_1,X0,e_4)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u3208,negated_conjecture,
( ~ product(e_3,e_5,X0)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_5) ) ).
cnf(u4345,negated_conjecture,
( ~ product(e_5,X0,e_4)
| ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4) ) ).
cnf(u3697,negated_conjecture,
( ~ product(X0,e_3,e_2)
| equalish(X0,e_1) ) ).
cnf(u3824,negated_conjecture,
~ product(e_5,e_1,e_5) ).
cnf(u4334,negated_conjecture,
( ~ product(X1,X0,e_5)
| ~ product(e_3,X0,X1)
| equalish(X1,e_1) ) ).
cnf(u4114,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X1,X0,e_4)
| equalish(X1,e_1) ) ).
cnf(u112,negated_conjecture,
( ~ product(X2,X1,e_5)
| ~ product(X0,X1,X2)
| equalish(X1,X0)
| ~ group_element(X0)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| product(X0,X0,e_4) ) ).
cnf(u4998,negated_conjecture,
( ~ product(e_4,X0,e_3)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u3185,negated_conjecture,
( ~ product(e_3,X0,e_2)
| equalish(X0,e_5) ) ).
cnf(u5027,negated_conjecture,
( ~ product(X1,X0,e_5)
| ~ group_element(X1)
| product(X1,X1,e_1)
| product(X1,X1,e_2)
| product(X1,X1,e_3)
| product(X1,X1,e_4)
| ~ 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(X0,X1) ) ).
cnf(u4568,axiom,
( ~ group_element(X0)
| product(X0,e_2,e_4)
| product(X0,e_2,e_3)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| product(X0,e_3,e_4) ) ).
cnf(u3817,negated_conjecture,
( ~ product(X1,X0,e_3)
| ~ product(e_5,X0,X1)
| equalish(X0,e_4) ) ).
cnf(u4351,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_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u3742,axiom,
( ~ product(e_5,X0,e_2)
| equalish(X0,e_4) ) ).
cnf(u4336,negated_conjecture,
( ~ group_element(X1)
| equalish(X1,e_1)
| ~ group_element(X0)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| ~ product(e_3,X0,X1) ) ).
cnf(u920,negated_conjecture,
( ~ product(X2,X1,X0)
| ~ product(X0,X1,X2)
| equalish(X2,X0) ) ).
cnf(u4497,axiom,
( ~ group_element(X0)
| product(X0,e_2,e_4)
| product(X0,e_2,e_3)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4) ) ).
cnf(u3586,negated_conjecture,
( ~ product(e_2,e_1,X0)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_2) ) ).
cnf(u4525,axiom,
( ~ group_element(X0)
| product(X0,e_3,e_4)
| product(X0,e_3,e_3)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4) ) ).
cnf(u4715,negated_conjecture,
( ~ group_element(X1)
| ~ group_element(X0)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| equalish(e_4,X0)
| product(e_4,X1,e_1)
| product(e_4,X1,e_2)
| product(e_4,X1,e_3)
| ~ product(X0,X1,e_4) ) ).
cnf(u4431,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_4,e_2)
| product(X0,e_4,e_3)
| product(X0,e_4,e_4)
| product(X0,e_4,e_1)
| equalish(e_1,X0) ) ).
cnf(u3382,negated_conjecture,
( ~ product(e_3,e_1,X0)
| equalish(X0,e_4) ) ).
cnf(u41,axiom,
( ~ group_element(X0)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| product(X0,X0,e_4)
| equalish(e_5,X0) ) ).
cnf(u44,axiom,
( ~ group_element(X0)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,X0,e_1)
| equalish(X0,e_5)
| ~ product(e_5,X0,X1)
| equalish(X1,e_4) ) ).
cnf(u4325,negated_conjecture,
( ~ product(X1,X0,e_5)
| ~ product(e_3,X0,X1)
| equalish(X0,e_4) ) ).
cnf(u103,negated_conjecture,
( ~ group_element(X2)
| ~ product(X2,X3,X4)
| ~ product(X4,X3,X1)
| equalish(X3,X0)
| ~ group_element(X0)
| product(X2,X0,e_1)
| product(X2,X0,e_2)
| product(X2,X0,e_3)
| product(X2,X0,e_4)
| ~ product(e_5,X0,X1) ) ).
cnf(u3280,negated_conjecture,
( ~ product(e_3,e_2,X0)
| equalish(e_2,X1)
| ~ 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)
| ~ product(e_5,X1,X0) ) ).
cnf(u926,negated_conjecture,
( ~ group_element(X1)
| equalish(X1,e_5)
| ~ group_element(X0)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| ~ product(e_5,X0,X1) ) ).
cnf(u3695,negated_conjecture,
( ~ product(e_1,e_3,X0)
| equalish(X0,e_2) ) ).
cnf(u1715,negated_conjecture,
( ~ product(e_3,e_3,X0)
| ~ 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)
| ~ product(e_5,X1,X0) ) ).
cnf(u3187,negated_conjecture,
( ~ product(e_2,e_5,X0)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_2) ) ).
cnf(u5028,negated_conjecture,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X1,X1,e_1)
| product(X1,X1,e_2)
| product(X1,X1,e_3)
| equalish(X0,X1)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4)
| ~ product(X1,X0,e_4) ) ).
cnf(u3780,negated_conjecture,
( ~ product(X0,X1,e_2)
| ~ product(e_1,X1,X0)
| equalish(X0,e_5) ) ).
cnf(u4496,axiom,
( ~ group_element(X0)
| product(X0,e_3,e_4)
| product(X0,e_3,e_3)
| product(X0,e_3,e_2)
| product(X0,e_3,e_1)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4) ) ).
cnf(u48,axiom,
( ~ group_element(X1)
| equalish(X0,e_5)
| product(e_5,X1,e_1)
| product(e_5,X1,e_2)
| product(e_5,X1,e_3)
| ~ product(X0,X1,e_4)
| equalish(X1,e_5) ) ).
cnf(u3760,negated_conjecture,
( ~ product(X0,e_3,e_1)
| equalish(X0,e_5) ) ).
cnf(u4369,negated_conjecture,
( ~ product(X1,X0,e_5)
| ~ product(e_2,X0,X1)
| equalish(X0,e_3) ) ).
cnf(u906,negated_conjecture,
( ~ product(X0,X0,X1)
| ~ product(X0,X2,X3)
| ~ product(X3,X2,X1)
| equalish(X3,X0) ) ).
cnf(u42,axiom,
( product(e_5,X0,e_4)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| ~ group_element(X0)
| equalish(X0,e_5) ) ).
cnf(u4051,negated_conjecture,
( ~ product(X1,X0,e_2)
| ~ product(e_5,X0,X1)
| equalish(X1,e_1) ) ).
cnf(u3612,negated_conjecture,
( ~ product(e_3,e_1,X0)
| ~ product(e_5,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_1) ) ).
cnf(u3996,negated_conjecture,
( ~ product(X1,X0,e_1)
| ~ product(e_5,X0,X1)
| equalish(X0,e_2) ) ).
cnf(u4258,negated_conjecture,
( ~ product(e_1,e_4,X0)
| ~ 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)
| ~ product(e_5,X1,X0) ) ).
cnf(u3186,negated_conjecture,
( ~ product(X0,e_5,e_2)
| equalish(X0,e_3) ) ).
cnf(u4999,negated_conjecture,
( ~ product(e_4,X0,e_1)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u3732,negated_conjecture,
( ~ product(X0,e_4,e_3)
| equalish(X0,e_2) ) ).
cnf(u35,axiom,
equalish(X0,X0) ).
cnf(u4646,negated_conjecture,
( ~ product(e_1,X0,e_5)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| equalish(X0,e_2) ) ).
cnf(u2549,axiom,
( ~ group_element(X0)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| product(e_2,X0,e_1)
| ~ product(e_2,X0,X1)
| equalish(X1,e_5) ) ).
cnf(u38,axiom,
( ~ group_element(X1)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| ~ group_element(X0)
| ~ product(X1,X0,X2)
| equalish(X2,e_5) ) ).
cnf(u953,negated_conjecture,
( ~ group_element(X3)
| ~ product(X1,X0,X2)
| equalish(X1,e_5)
| ~ product(e_5,X0,X1)
| product(e_5,X3,e_1)
| product(e_5,X3,e_2)
| product(e_5,X3,e_3)
| product(e_5,X3,e_4)
| ~ product(e_5,X3,X2) ) ).
cnf(u3755,negated_conjecture,
( ~ product(X0,X1,e_1)
| ~ product(e_4,X1,X0)
| equalish(X0,e_5) ) ).
cnf(u37,axiom,
( ~ product(X1,X2,e_5)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| ~ group_element(X1)
| ~ group_element(X0)
| equalish(X2,X0) ) ).
cnf(u4003,negated_conjecture,
~ product(e_5,e_5,e_2) ).
cnf(e_5_is_not_e_3,axiom,
~ equalish(e_5,e_3) ).
cnf(u3172,negated_conjecture,
( ~ product(e_1,e_5,X0)
| equalish(e_5,X1)
| ~ 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)
| ~ product(e_5,X1,X0) ) ).
cnf(qg1_1,negated_conjecture,
( ~ product(X5,X4,X3)
| ~ product(X3,X4,X2)
| ~ product(X5,X1,X0)
| ~ product(X0,X1,X2)
| equalish(X0,X3) ) ).
cnf(u1131,negated_conjecture,
( ~ product(e_2,e_2,X0)
| equalish(e_2,X1)
| ~ 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)
| ~ product(e_5,X1,X0) ) ).
cnf(u3398,negated_conjecture,
( ~ product(e_4,e_2,X0)
| ~ product(e_5,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_2) ) ).
cnf(u3397,negated_conjecture,
( ~ product(e_4,e_2,X0)
| ~ product(e_5,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_4) ) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1) ).
cnf(u949,negated_conjecture,
( ~ group_element(X3)
| ~ product(X1,X0,X2)
| equalish(X1,e_5)
| ~ product(e_1,X0,X1)
| product(e_1,X3,e_1)
| product(e_1,X3,e_2)
| product(e_1,X3,e_3)
| product(e_1,X3,e_4)
| ~ product(e_5,X3,X2) ) ).
cnf(e_3_is_not_e_5,axiom,
~ equalish(e_3,e_5) ).
cnf(u3994,negated_conjecture,
~ product(e_5,e_5,e_3) ).
cnf(u5063,negated_conjecture,
( ~ product(X0,e_3,e_4)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| equalish(e_3,X0)
| ~ group_element(X0) ) ).
cnf(u4417,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4)
| product(X0,e_1,e_1)
| equalish(e_2,X0) ) ).
cnf(u3356,negated_conjecture,
( ~ product(e_4,e_2,X0)
| equalish(X0,e_1) ) ).
cnf(u4622,negated_conjecture,
( ~ product(e_3,X0,e_4)
| ~ group_element(X0)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| equalish(X0,e_4) ) ).
cnf(u4264,negated_conjecture,
( ~ product(e_4,e_3,X0)
| equalish(e_3,X1)
| ~ 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)
| ~ product(e_5,X1,X0) ) ).
cnf(u2948,negated_conjecture,
( ~ product(e_4,e_5,X0)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_4) ) ).
cnf(u3285,negated_conjecture,
( ~ product(e_1,X0,e_3)
| equalish(X0,e_2) ) ).
cnf(u291,negated_conjecture,
( ~ group_element(X3)
| ~ product(X1,X0,X2)
| equalish(X0,X3)
| ~ product(e_5,X0,X1)
| product(e_5,X3,e_1)
| product(e_5,X3,e_2)
| product(e_5,X3,e_3)
| product(e_5,X3,e_4)
| ~ product(e_5,X3,X2) ) ).
cnf(u3584,negated_conjecture,
( ~ product(e_4,X0,e_2)
| equalish(X0,e_1) ) ).
cnf(u3288,negated_conjecture,
( ~ product(e_3,e_2,X0)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_2) ) ).
cnf(u2541,axiom,
( ~ group_element(X2)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ group_element(X0)
| ~ group_element(X1)
| equalish(X2,X1)
| product(X0,X1,e_1)
| product(X0,X2,e_1)
| product(X0,X2,e_2)
| product(X0,X2,e_3)
| product(X0,X2,e_4) ) ).
cnf(u4240,negated_conjecture,
( ~ product(X1,X0,e_1)
| ~ product(e_2,X0,X1)
| equalish(X0,e_4) ) ).
cnf(u4700,negated_conjecture,
( ~ group_element(X0)
| product(e_5,X0,e_3)
| equalish(X0,e_3)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3) ) ).
cnf(u3183,negated_conjecture,
( ~ product(e_2,e_5,X0)
| equalish(e_5,X1)
| ~ 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)
| ~ product(e_5,X1,X0) ) ).
cnf(u4144,negated_conjecture,
( ~ product(X1,X0,e_3)
| ~ product(e_4,X0,X1)
| equalish(X0,e_2) ) ).
cnf(u3698,negated_conjecture,
( ~ product(e_2,e_3,X0)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_2) ) ).
cnf(u4739,negated_conjecture,
( ~ product(X0,e_1,e_2)
| product(X0,X0,e_1)
| product(X0,X0,e_3)
| product(X0,X0,e_4)
| equalish(e_2,X0)
| ~ group_element(X0) ) ).
cnf(u4470,negated_conjecture,
( ~ group_element(X0)
| ~ product(X2,X1,e_3)
| equalish(X2,e_4)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| ~ product(X0,X1,X2) ) ).
cnf(u4691,negated_conjecture,
( ~ product(e_2,X0,e_1)
| ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(u4371,negated_conjecture,
( ~ group_element(X1)
| equalish(X0,e_3)
| ~ group_element(X0)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| ~ product(e_2,X0,X1) ) ).
cnf(u951,negated_conjecture,
( ~ product(e_3,X0,X1)
| ~ product(X1,X0,X2)
| equalish(X1,e_5)
| ~ group_element(X3)
| product(e_3,X3,e_1)
| product(e_3,X3,e_2)
| product(e_3,X3,e_3)
| product(e_3,X3,e_4)
| ~ product(e_5,X3,X2) ) ).
cnf(u3745,negated_conjecture,
( ~ product(e_2,e_4,X0)
| ~ product(e_5,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_4) ) ).
cnf(u3993,negated_conjecture,
~ product(e_5,e_4,e_5) ).
cnf(u3759,negated_conjecture,
( ~ product(e_5,X0,e_1)
| equalish(X0,e_3) ) ).
cnf(u4176,axiom,
( ~ group_element(X1)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ group_element(X0)
| product(X0,X1,e_2)
| equalish(e_3,X1)
| product(X0,X1,e_1)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| product(X0,e_3,e_4) ) ).
cnf(u4398,negated_conjecture,
( ~ group_element(X2)
| equalish(X2,X0)
| ~ group_element(X0)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| product(X0,X0,e_4)
| ~ 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,X2) ) ).
cnf(u3847,negated_conjecture,
( ~ product(X1,X0,e_3)
| ~ product(e_1,X0,X1)
| equalish(X0,e_5) ) ).
cnf(u4839,negated_conjecture,
( ~ product(X0,e_2,e_3)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_4)
| equalish(e_3,X0)
| ~ group_element(X0) ) ).
cnf(u3567,negated_conjecture,
( ~ product(e_2,e_1,X0)
| equalish(X0,e_5) ) ).
cnf(u3699,negated_conjecture,
( ~ product(e_2,e_3,X0)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_3) ) ).
cnf(u4253,negated_conjecture,
( ~ product(X0,e_4,e_1)
| equalish(X0,e_3) ) ).
cnf(u3360,negated_conjecture,
( ~ product(e_1,e_2,X0)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_2) ) ).
cnf(u3882,negated_conjecture,
( ~ product(X1,X0,e_3)
| ~ product(e_1,X0,X1)
| equalish(X1,e_4) ) ).
cnf(u4380,negated_conjecture,
( ~ product(X1,X0,e_5)
| ~ product(e_2,X0,X1)
| equalish(X1,e_4) ) ).
cnf(u4269,negated_conjecture,
( ~ product(X0,e_3,e_4)
| equalish(X0,e_2) ) ).
cnf(u4596,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)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3) ) ).
cnf(u4406,axiom,
( ~ group_element(X0)
| product(X1,e_3,e_1)
| product(X1,e_3,e_2)
| product(X1,e_3,e_3)
| product(X1,e_3,e_4)
| ~ group_element(X1)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| product(X0,e_3,e_4)
| equalish(X0,X1) ) ).
cnf(u2052,negated_conjecture,
( ~ product(e_5,X0,e_4)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| ~ group_element(X0) ) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3) ).
cnf(e_2_is_not_e_5,axiom,
~ equalish(e_2,e_5) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3) ).
cnf(u4634,negated_conjecture,
( ~ product(e_3,X0,e_4)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u4404,axiom,
( ~ group_element(X0)
| product(X1,e_1,e_1)
| product(X1,e_1,e_2)
| product(X1,e_1,e_3)
| product(X1,e_1,e_4)
| ~ group_element(X1)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4)
| equalish(X0,X1) ) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1) ).
cnf(u4668,negated_conjecture,
( ~ product(e_4,X0,e_5)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_4)
| equalish(X0,e_1) ) ).
cnf(u3649,negated_conjecture,
( ~ group_element(X0)
| product(e_5,X0,e_3)
| product(e_5,X0,e_2)
| equalish(X0,e_5)
| product(e_5,X0,e_1)
| equalish(e_2,X0) ) ).
cnf(u4526,axiom,
( ~ group_element(X0)
| product(X0,e_2,e_4)
| product(X0,e_2,e_3)
| product(X0,e_2,e_2)
| product(X0,e_2,e_1)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4) ) ).
cnf(u3384,negated_conjecture,
( ~ product(X0,e_1,e_4)
| equalish(X0,e_3) ) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3) ).
cnf(u2054,negated_conjecture,
( ~ product(e_5,X0,e_2)
| product(e_2,X0,e_1)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u4133,negated_conjecture,
~ product(e_1,e_5,e_5) ).
cnf(u122,negated_conjecture,
( ~ product(e_4,e_5,X0)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| equalish(X0,e_5)
| ~ group_element(X0) ) ).
cnf(u4220,negated_conjecture,
~ product(e_3,e_3,e_2) ).
cnf(u287,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X1,X0,X2)
| equalish(X0,X3)
| ~ group_element(X3)
| product(e_1,X3,e_1)
| product(e_1,X3,e_2)
| product(e_1,X3,e_3)
| product(e_1,X3,e_4)
| ~ product(e_5,X3,X2) ) ).
cnf(u3729,negated_conjecture,
( ~ product(e_3,e_4,X0)
| equalish(e_4,X1)
| ~ 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)
| ~ product(e_5,X1,X0) ) ).
cnf(u4965,negated_conjecture,
( ~ product(X0,e_3,e_4)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| equalish(e_4,X0)
| ~ group_element(X0) ) ).
cnf(u3844,negated_conjecture,
( ~ product(e_5,X0,e_1)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| ~ group_element(X0) ) ).
cnf(u4649,negated_conjecture,
( ~ product(e_1,X0,e_2)
| ~ group_element(X0)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(u4459,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| product(X0,e_2,e_4)
| product(X0,e_2,e_1)
| equalish(e_3,X0) ) ).
cnf(u4245,negated_conjecture,
( ~ product(e_1,e_4,X0)
| equalish(e_4,X1)
| ~ 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)
| ~ product(e_5,X1,X0) ) ).
cnf(u104,negated_conjecture,
( ~ product(e_4,e_5,X0)
| ~ product(X1,X2,X3)
| ~ product(X3,X2,X0)
| equalish(X2,e_5)
| product(X1,e_5,e_1)
| product(X1,e_5,e_2)
| product(X1,e_5,e_3)
| equalish(X1,e_5)
| ~ group_element(X1) ) ).
cnf(u4228,negated_conjecture,
~ product(e_3,e_3,e_5) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP123-1.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.10/0.35 % Computer : n026.cluster.edu
% 0.10/0.35 % Model : x86_64 x86_64
% 0.10/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.35 % Memory : 8046.5625MB
% 0.10/0.35 % OS : Linux 6.8.0-71-generic
% 0.10/0.36 % CPULimit : 300
% 0.10/0.36 % WCLimit : 300
% 0.10/0.36 % DateTime : Sun Sep 27 09:22:57 UTC 2026
% 0.12/0.36 % CPUTime :
% 0.12/0.36 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.12/0.39 Running first-order theorem proving
% 0.12/0.39 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 8.92/2.05 % (2568981)Input is clausal, will run a generic CNF schedule.
% 8.92/2.05 % (2568990)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1015626909:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.92/2.05 % (2568990)Instruction limit reached!
% 8.92/2.05 % (2568990)------------------------------
% 8.92/2.05 % (2568990)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.92/2.05 % (2568990)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.05 % (2568990)CaDiCaL version: 2.1.3
% 8.92/2.05 % (2568990)Termination reason: Instruction limit
% 8.92/2.05 % (2568990)Termination phase: Saturation
% 8.92/2.05 % (2568990)Time elapsed: 0.033 s
% 8.92/2.05 % (2568990)Peak memory usage: 88 MB
% 8.92/2.05 % (2568990)Instructions burned: 117 (million)
% 8.92/2.05 % (2568987)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=445135376:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.92/2.05 % (2568986)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=568551892:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.92/2.05 % (2568988)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=1314239626:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.92/2.05 % (2568989)lrs+10_1_sil=8000:sp=occurrence:random_seed=1239490219:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.92/2.05 % (2568991)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1502483600:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.92/2.05 % (2568992)dis-21_1_sil=8000:lcm=predicate:random_seed=3493717770:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 8.92/2.05 % (2568989)Instruction limit reached!
% 8.92/2.05 % (2568989)------------------------------
% 8.92/2.05 % (2568989)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.92/2.05 % (2568989)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.05 % (2568989)CaDiCaL version: 2.1.3
% 8.92/2.05 % (2568989)Termination reason: Instruction limit
% 8.92/2.05 % (2568989)Termination phase: Saturation
% 8.92/2.05 % (2568989)Time elapsed: 0.057 s
% 8.92/2.05 % (2568989)Peak memory usage: 88 MB
% 8.92/2.05 % (2568989)Instructions burned: 107 (million)
% 8.92/2.05 % (2568991)Refutation not found, incomplete strategy
% 8.92/2.05 % (2568991)------------------------------
% 8.92/2.05 % (2568991)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.92/2.05 % (2568991)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.05 % (2568991)CaDiCaL version: 2.1.3
% 8.92/2.05 % (2568991)Termination reason: Refutation not found, incomplete strategy
% 8.92/2.05 % (2568991)Time elapsed: 0.072 s
% 8.92/2.05 % (2568991)Peak memory usage: 89 MB
% 8.92/2.05 % (2568991)Instructions burned: 106 (million)
% 8.92/2.05 % (2568994)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=1376499026:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 8.92/2.05 % (2568992)Instruction limit reached!
% 8.92/2.05 % (2568992)------------------------------
% 8.92/2.05 % (2568992)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.92/2.05 % (2568992)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.05 % (2568992)CaDiCaL version: 2.1.3
% 8.92/2.05 % (2568992)Termination reason: Instruction limit
% 8.92/2.05 % (2568992)Termination phase: Saturation
% 8.92/2.05 % (2568992)Time elapsed: 0.071 s
% 8.92/2.05 % (2568992)Peak memory usage: 89 MB
% 8.92/2.05 % (2568992)Instructions burned: 117 (million)
% 8.92/2.05 % (2568994)Instruction limit reached!
% 8.92/2.05 % (2568994)------------------------------
% 8.92/2.05 % (2568994)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.92/2.05 % (2568994)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.92/2.05 % (2568994)CaDiCaL version: 2.1.3
% 8.92/2.05 % (2568994)Termination reason: Instruction limit
% 8.92/2.05 % (2568994)Termination phase: Saturation
% 8.92/2.05 % (2568994)Time elapsed: 0.038 s
% 8.92/2.05 % (2568994)Peak memory usage: 88 MB
% 8.92/2.05 % (2568994)Instructions burned: 144 (million)
% 8.92/2.05 % (2569001)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3855776894: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)
% 13.09/2.86 % (2569004)lrs+10_64_to=lpo:sil=8000:random_seed=3434415225:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 13.09/2.86 % (2569001)Refutation not found, incomplete strategy
% 13.09/2.86 % (2569001)------------------------------
% 13.09/2.86 % (2569001)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.09/2.86 % (2569001)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.09/2.86 % (2569001)CaDiCaL version: 2.1.3
% 13.09/2.86 % (2569001)Termination reason: Refutation not found, incomplete strategy
% 13.09/2.86 % (2569001)Time elapsed: 0.003 s
% 13.09/2.86 % (2569001)Peak memory usage: 87 MB
% 13.09/2.86 % (2569001)Instructions burned: 3 (million)
% 13.09/2.86 % (2569003)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=66868282:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 13.09/2.86 % (2569004)Instruction limit reached!
% 13.09/2.86 % (2569004)------------------------------
% 13.09/2.86 % (2569004)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.09/2.86 % (2569004)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.09/2.86 % (2569004)CaDiCaL version: 2.1.3
% 13.09/2.86 % (2569004)Termination reason: Instruction limit
% 13.09/2.86 % (2569004)Termination phase: Saturation
% 13.09/2.86 % (2569004)Time elapsed: 0.040 s
% 13.09/2.86 % (2569004)Peak memory usage: 88 MB
% 13.09/2.86 % (2569004)Instructions burned: 128 (million)
% 13.09/2.86 % (2568991)------------------------------
% 13.09/2.86 % (2568991)------------------------------
% 13.09/2.86 % (2569003)Instruction limit reached!
% 13.09/2.86 % (2569003)------------------------------
% 13.09/2.86 % (2569003)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.09/2.86 % (2569003)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.09/2.86 % (2569003)CaDiCaL version: 2.1.3
% 13.09/2.86 % (2569003)Termination reason: Instruction limit
% 13.09/2.86 % (2569003)Termination phase: Saturation
% 13.09/2.86 % (2569003)Time elapsed: 0.110 s
% 13.09/2.86 % (2569003)Peak memory usage: 88 MB
% 13.09/2.86 % (2569003)Instructions burned: 220 (million)
% 13.09/2.86 % (2569008)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=158447880:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 13.09/2.86 % (2569008)Instruction limit reached!
% 13.09/2.86 % (2569008)------------------------------
% 13.09/2.86 % (2569008)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.09/2.86 % (2569008)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.09/2.86 % (2569008)CaDiCaL version: 2.1.3
% 13.09/2.86 % (2569008)Termination reason: Instruction limit
% 13.09/2.86 % (2569008)Termination phase: Saturation
% 13.09/2.86 % (2569008)Time elapsed: 0.063 s
% 13.09/2.86 % (2569008)Peak memory usage: 88 MB
% 13.09/2.86 % (2569008)Instructions burned: 197 (million)
% 13.09/2.86 % (2569001)------------------------------
% 13.09/2.86 % (2569001)------------------------------
% 13.09/2.86 % (2569010)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2286571549:i=3394:sd=4:ss=included:sgt=64_2995 on theBenchmark for (2995ds/3394Mi)
% 13.09/2.86 % (2569009)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=1302052965:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 13.09/2.86 % (2569012)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=3413423220:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 13.09/2.86 % (2569012)Refutation not found, incomplete strategy
% 13.09/2.86 % (2569012)------------------------------
% 13.09/2.86 % (2569012)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 13.09/2.86 % (2569012)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 13.09/2.86 % (2569012)CaDiCaL version: 2.1.3
% 13.09/2.86 % (2569012)Termination reason: Refutation not found, incomplete strategy
% 13.09/2.86 % (2569012)Time elapsed: 0.003 s
% 13.09/2.86 % (2569012)Peak memory usage: 88 MB
% 13.09/2.86 % (2569012)Instructions burned: 10 (million)
% 13.09/2.86 % (2569009)Instruction limit reached!
% 13.09/2.86 % (2569009)------------------------------
% 13.09/2.86 % (2569009)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.99/3.65 % (2569009)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.99/3.65 % (2569009)CaDiCaL version: 2.1.3
% 19.99/3.65 % (2569009)Termination reason: Instruction limit
% 19.99/3.65 % (2569009)Termination phase: Saturation
% 19.99/3.65 % (2569009)Time elapsed: 0.085 s
% 19.99/3.65 % (2569009)Peak memory usage: 88 MB
% 19.99/3.65 % (2569009)Instructions burned: 159 (million)
% 19.99/3.65 % (2569015)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=4188803259:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 19.99/3.65 % (2568987)Refutation not found, incomplete strategy
% 19.99/3.65 % (2568987)------------------------------
% 19.99/3.65 % (2568987)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.99/3.65 % (2568987)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.99/3.65 % (2568987)CaDiCaL version: 2.1.3
% 19.99/3.65 % (2568987)Termination reason: Refutation not found, incomplete strategy
% 19.99/3.65 % (2568987)Time elapsed: 0.613 s
% 19.99/3.65 % (2568987)Peak memory usage: 127 MB
% 19.99/3.65 % (2568987)Instructions burned: 913 (million)
% 19.99/3.65 % (2569012)------------------------------
% 19.99/3.65 % (2569012)------------------------------
% 19.99/3.65 % (2569015)Instruction limit reached!
% 19.99/3.65 % (2569015)------------------------------
% 19.99/3.65 % (2569015)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.99/3.65 % (2569015)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.99/3.65 % (2569015)CaDiCaL version: 2.1.3
% 19.99/3.65 % (2569015)Termination reason: Instruction limit
% 19.99/3.65 % (2569015)Termination phase: Saturation
% 19.99/3.65 % (2569015)Time elapsed: 0.057 s
% 19.99/3.65 % (2569015)Peak memory usage: 88 MB
% 19.99/3.65 % (2569015)Instructions burned: 108 (million)
% 19.99/3.65 % (2569017)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=2462019065:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 19.99/3.65 % (2569019)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=2412386795:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 19.99/3.65 % (2569020)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=606047551:i=134:sd=2:doe=on:ss=axioms:sgt=14_2992 on theBenchmark for (2992ds/134Mi)
% 19.99/3.65 % (2569017)Instruction limit reached!
% 19.99/3.65 % (2569017)------------------------------
% 19.99/3.65 % (2569017)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.99/3.65 % (2569017)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.99/3.65 % (2569017)CaDiCaL version: 2.1.3
% 19.99/3.65 % (2569017)Termination reason: Instruction limit
% 19.99/3.65 % (2569017)Termination phase: Saturation
% 19.99/3.65 % (2569017)Time elapsed: 0.122 s
% 19.99/3.65 % (2569017)Peak memory usage: 88 MB
% 19.99/3.65 % (2569017)Instructions burned: 242 (million)
% 19.99/3.65 % (2569020)Instruction limit reached!
% 19.99/3.65 % (2569020)------------------------------
% 19.99/3.65 % (2569020)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.99/3.65 % (2569020)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 19.99/3.65 % (2569020)CaDiCaL version: 2.1.3
% 19.99/3.65 % (2569020)Termination reason: Instruction limit
% 19.99/3.65 % (2569020)Termination phase: Saturation
% 19.99/3.65 % (2569020)Time elapsed: 0.081 s
% 19.99/3.65 % (2569020)Peak memory usage: 88 MB
% 19.99/3.65 % (2569020)Instructions burned: 135 (million)
% 19.99/3.65 % (2568987)------------------------------
% 19.99/3.65 % (2568987)------------------------------
% 19.99/3.65 % (2569024)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=1631013984:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 19.99/3.65 % (2569025)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1085061892:i=191:fgj=on:bd=all_2990 on theBenchmark for (2990ds/191Mi)
% 19.99/3.65 % (2569026)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=1265494934:i=264:kws=precedence:fsr=off_2989 on theBenchmark for (2989ds/264Mi)
% 19.99/3.65 % (2569025)Instruction limit reached!
% 19.99/3.65 % (2569025)------------------------------
% 19.99/3.65 % (2569025)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 19.99/3.65 % (2569025)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/5.02 % (2569025)CaDiCaL version: 2.1.3
% 28.73/5.02 % (2569025)Termination reason: Instruction limit
% 28.73/5.02 % (2569025)Termination phase: Saturation
% 28.73/5.02 % (2569025)Time elapsed: 0.105 s
% 28.73/5.02 % (2569025)Peak memory usage: 88 MB
% 28.73/5.02 % (2569025)Instructions burned: 191 (million)
% 28.73/5.02 % (2569026)Instruction limit reached!
% 28.73/5.02 % (2569026)------------------------------
% 28.73/5.02 % (2569026)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.73/5.02 % (2569026)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 28.73/5.02 % (2569026)CaDiCaL version: 2.1.3
% 28.73/5.02 % (2569026)Termination reason: Instruction limit
% 28.73/5.02 % (2569026)Termination phase: Saturation
% 28.73/5.02 % (2569026)Time elapsed: 0.140 s
% 28.73/5.02 % (2569026)Peak memory usage: 90 MB
% 28.73/5.02 % (2569026)Instructions burned: 264 (million)
% 28.73/5.02 % (2569024)Instruction limit reached!
% 28.73/5.02 % (2569024)------------------------------
% 28.73/5.02 % (2569024)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 28.73/5.02 % (2569024)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.88/5.16 % (2569024)CaDiCaL version: 2.1.3
% 29.88/5.16 % (2569024)Termination reason: Instruction limit
% 29.88/5.16 % (2569024)Termination phase: Saturation
% 29.88/5.16 % (2569024)Time elapsed: 0.253 s
% 29.88/5.16 % (2569024)Peak memory usage: 90 MB
% 29.88/5.16 % (2569024)Instructions burned: 500 (million)
% 29.88/5.16 % (2569030)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=4268241991:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 29.88/5.16 % (2569031)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=1720484140:i=3256:kws=precedence:bd=preordered:av=off_2987 on theBenchmark for (2987ds/3256Mi)
% 29.88/5.16 % (2569030)Instruction limit reached!
% 29.88/5.16 % (2569030)------------------------------
% 29.88/5.16 % (2569030)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.88/5.16 % (2569030)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.88/5.16 % (2569030)CaDiCaL version: 2.1.3
% 29.88/5.16 % (2569030)Termination reason: Instruction limit
% 29.88/5.16 % (2569030)Termination phase: Saturation
% 29.88/5.16 % (2569030)Time elapsed: 0.085 s
% 29.88/5.16 % (2569030)Peak memory usage: 88 MB
% 29.88/5.16 % (2569030)Instructions burned: 156 (million)
% 29.88/5.16 % (2569032)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=1426971272:i=537:av=off:ss=included_2986 on theBenchmark for (2986ds/537Mi)
% 29.88/5.16 % (2569035)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3551437678:i=180:bd=preordered:av=off_2985 on theBenchmark for (2985ds/180Mi)
% 29.88/5.16 % (2569035)Instruction limit reached!
% 29.88/5.16 % (2569035)------------------------------
% 29.88/5.16 % (2569035)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.88/5.16 % (2569035)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.88/5.16 % (2569035)CaDiCaL version: 2.1.3
% 29.88/5.16 % (2569035)Termination reason: Instruction limit
% 29.88/5.16 % (2569035)Termination phase: Saturation
% 29.88/5.16 % (2569035)Time elapsed: 0.094 s
% 29.88/5.16 % (2569035)Peak memory usage: 87 MB
% 29.88/5.16 % (2569035)Instructions burned: 181 (million)
% 29.88/5.16 % (2569032)Instruction limit reached!
% 29.88/5.16 % (2569032)------------------------------
% 29.88/5.16 % (2569032)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 29.88/5.16 % (2569032)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 29.88/5.16 % (2569032)CaDiCaL version: 2.1.3
% 29.88/5.16 % (2569032)Termination reason: Instruction limit
% 29.88/5.16 % (2569032)Termination phase: Saturation
% 29.88/5.16 % (2569032)Time elapsed: 0.253 s
% 29.88/5.16 % (2569032)Peak memory usage: 88 MB
% 29.88/5.16 % (2569032)Instructions burned: 537 (million)
% 29.88/5.16 % (2569038)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=2697108067:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2983 on theBenchmark for (2983ds/10307Mi)
% 29.88/5.16 % (2569039)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=3826360432:i=412:gtgl=4:gtg=exists_all_2982 on theBenchmark for (2982ds/412Mi)
% 29.88/5.16 % (2569039)Instruction limit reached!
% 29.88/5.16 % (2569039)------------------------------
% 41.80/7.32 % (2569039)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.80/7.32 % (2569039)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.80/7.32 % (2569039)CaDiCaL version: 2.1.3
% 41.80/7.32 % (2569039)Termination reason: Instruction limit
% 41.80/7.32 % (2569039)Termination phase: Saturation
% 41.80/7.32 % (2569039)Time elapsed: 0.190 s
% 41.80/7.32 % (2569039)Peak memory usage: 90 MB
% 41.80/7.32 % (2569039)Instructions burned: 413 (million)
% 41.80/7.32 % (2569042)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=3231617056:s2pl=no:i=8478:s2at=4:nm=6_2979 on theBenchmark for (2979ds/8478Mi)
% 41.80/7.32 % (2569019)Instruction limit reached!
% 41.80/7.32 % (2569019)------------------------------
% 41.80/7.32 % (2569019)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.80/7.32 % (2569019)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.80/7.32 % (2569019)CaDiCaL version: 2.1.3
% 41.80/7.32 % (2569019)Termination reason: Instruction limit
% 41.80/7.32 % (2569019)Termination phase: Saturation
% 41.80/7.32 % (2569019)Time elapsed: 1.456 s
% 41.80/7.32 % (2569019)Peak memory usage: 135 MB
% 41.80/7.32 % (2569019)Instructions burned: 5212 (million)
% 41.80/7.32 % (2569044)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=1035019556:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2976 on theBenchmark for (2976ds/303Mi)
% 41.80/7.32 % (2569044)Instruction limit reached!
% 41.80/7.32 % (2569044)------------------------------
% 41.80/7.32 % (2569044)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.80/7.32 % (2569044)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.80/7.32 % (2569044)CaDiCaL version: 2.1.3
% 41.80/7.32 % (2569044)Termination reason: Instruction limit
% 41.80/7.32 % (2569044)Termination phase: Saturation
% 41.80/7.32 % (2569044)Time elapsed: 0.090 s
% 41.80/7.32 % (2569044)Peak memory usage: 90 MB
% 41.80/7.32 % (2569044)Instructions burned: 303 (million)
% 41.80/7.32 % (2569046)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=1443680530:st=4:i=720:sd=3:fsr=off:ss=axioms_2974 on theBenchmark for (2974ds/720Mi)
% 41.80/7.32 % (2569046)Refutation not found, incomplete strategy
% 41.80/7.32 % (2569046)------------------------------
% 41.80/7.32 % (2569046)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.80/7.32 % (2569046)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.80/7.32 % (2569046)CaDiCaL version: 2.1.3
% 41.80/7.32 % (2569046)Termination reason: Refutation not found, incomplete strategy
% 41.80/7.32 % (2569046)Time elapsed: 0.001 s
% 41.80/7.32 % (2569046)Peak memory usage: 88 MB
% 41.80/7.32 % (2569046)Instructions burned: 1 (million)
% 41.80/7.32 % (2569046)------------------------------
% 41.80/7.32 % (2569046)------------------------------
% 41.80/7.32 % (2569010)Instruction limit reached!
% 41.80/7.32 % (2569010)------------------------------
% 41.80/7.32 % (2569010)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.80/7.32 % (2569010)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.80/7.32 % (2569010)CaDiCaL version: 2.1.3
% 41.80/7.32 % (2569010)Termination reason: Instruction limit
% 41.80/7.32 % (2569010)Termination phase: Saturation
% 41.80/7.32 % (2569010)Time elapsed: 2.150 s
% 41.80/7.32 % (2569010)Peak memory usage: 139 MB
% 41.80/7.32 % (2569010)Instructions burned: 3394 (million)
% 41.80/7.32 % (2569042)Refutation not found, incomplete strategy
% 41.80/7.32 % (2569042)------------------------------
% 41.80/7.32 % (2569042)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.80/7.32 % (2569042)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.80/7.32 % (2569042)CaDiCaL version: 2.1.3
% 41.80/7.32 % (2569042)Termination reason: Refutation not found, incomplete strategy
% 41.80/7.32 % (2569042)Time elapsed: 0.612 s
% 41.80/7.32 % (2569042)Peak memory usage: 128 MB
% 41.80/7.32 % (2569042)Instructions burned: 925 (million)
% 41.80/7.32 % (2569048)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=285810089:i=598:bs=on:bd=preordered:av=off:ss=axioms_2972 on theBenchmark for (2972ds/598Mi)
% 41.80/7.32 % (2569048)Refutation not found, incomplete strategy
% 41.80/7.32 % (2569048)------------------------------
% 41.80/7.32 % (2569048)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.80/7.32 % (2569048)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.80/7.32 % (2569048)CaDiCaL version: 2.1.3
% 41.80/7.32 % (2569048)Termination reason: Refutation not found, incomplete strategy
% 41.80/7.32 % (2569048)Time elapsed: 0.0000 s
% 41.80/7.32 % (2569048)Peak memory usage: 86 MB
% 41.80/7.32 % (2569049)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=238822256:i=2989:sd=3:ss=axioms:sgt=60_2972 on theBenchmark for (2972ds/2989Mi)
% 41.80/7.32 % (2569048)------------------------------
% 41.80/7.32 % (2569048)------------------------------
% 41.80/7.32 % (2569042)------------------------------
% 41.80/7.32 % (2569042)------------------------------
% 41.80/7.32 % (2569052)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=3434909869:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2970 on theBenchmark for (2970ds/1997Mi)
% 41.80/7.32 % (2569053)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=1687809015:i=2088:bd=preordered:av=off_2969 on theBenchmark for (2969ds/2088Mi)
% 41.80/7.32 % (2569031)Instruction limit reached!
% 41.80/7.32 % (2569031)------------------------------
% 41.80/7.32 % (2569031)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.80/7.32 % (2569031)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.80/7.32 % (2569031)CaDiCaL version: 2.1.3
% 41.80/7.32 % (2569031)Termination reason: Instruction limit
% 41.80/7.32 % (2569031)Termination phase: Saturation
% 41.80/7.32 % (2569031)Time elapsed: 1.940 s
% 41.80/7.32 % (2569031)Peak memory usage: 135 MB
% 41.80/7.32 % (2569031)Instructions burned: 3256 (million)
% 41.80/7.32 % (2569056)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=2842345159:i=1098:nicw=on_2966 on theBenchmark for (2966ds/1098Mi)
% 41.80/7.32 % (2569052)Instruction limit reached!
% 41.80/7.32 % (2569052)------------------------------
% 41.80/7.32 % (2569052)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.80/7.32 % (2569052)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.80/7.32 % (2569052)CaDiCaL version: 2.1.3
% 41.80/7.32 % (2569052)Termination reason: Instruction limit
% 41.80/7.32 % (2569052)Termination phase: Saturation
% 41.80/7.32 % (2569052)Time elapsed: 0.745 s
% 41.80/7.32 % (2569052)Peak memory usage: 134 MB
% 41.80/7.32 % (2569052)Instructions burned: 1999 (million)
% 41.80/7.32 % (2569058)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=1112614012:i=433:bd=preordered_2961 on theBenchmark for (2961ds/433Mi)
% 41.80/7.32 % (2569058)Instruction limit reached!
% 41.80/7.32 % (2569058)------------------------------
% 41.80/7.32 % (2569058)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.80/7.32 % (2569058)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.80/7.32 % (2569058)CaDiCaL version: 2.1.3
% 41.80/7.32 % (2569058)Termination reason: Instruction limit
% 41.80/7.32 % (2569058)Termination phase: Saturation
% 41.80/7.32 % (2569058)Time elapsed: 0.123 s
% 41.80/7.32 % (2569058)Peak memory usage: 89 MB
% 41.80/7.32 % (2569058)Instructions burned: 434 (million)
% 41.80/7.32 % (2569056)Instruction limit reached!
% 41.80/7.32 % (2569056)------------------------------
% 41.80/7.32 % (2569056)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.80/7.32 % (2569056)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.80/7.32 % (2569056)CaDiCaL version: 2.1.3
% 41.80/7.32 % (2569056)Termination reason: Instruction limit
% 41.80/7.32 % (2569056)Termination phase: Saturation
% 41.80/7.32 % (2569056)Time elapsed: 0.568 s
% 41.80/7.32 % (2569056)Peak memory usage: 92 MB
% 41.80/7.32 % (2569056)Instructions burned: 1098 (million)
% 41.80/7.32 % (2569060)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=1400251736:st=5.37:cond=on:i=2942:s2at=20:aac=none:fgj=on:bs=on:gtg=exists_sym:ss=axioms:er=filter:sgt=16_2959 on theBenchmark for (2959ds/2942Mi)
% 41.80/7.32 % (2569061)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=161815805:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2959 on theBenchmark for (2959ds/6922Mi)
% 41.80/7.32 % (2569053)Instruction limit reached!
% 41.80/7.32 % (2569053)------------------------------
% 41.80/7.32 % (2569053)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.80/7.32 % (2569053)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.80/7.32 % (2569053)CaDiCaL version: 2.1.3
% 41.80/7.32 % (2569049)Instruction limit reached!
% 41.80/7.32 % (2569049)------------------------------
% 41.80/7.32 % (2569049)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.80/7.32 % (2569053)Termination reason: Instruction limit
% 41.80/7.32 % (2569053)Termination phase: Saturation
% 41.80/7.32 % (2569053)Time elapsed: 1.620 s
% 41.80/7.32 % (2569053)Peak memory usage: 132 MB
% 41.80/7.32 % (2569049)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.80/7.32 % (2569053)Instructions burned: 2090 (million)
% 41.80/7.32 % (2569049)CaDiCaL version: 2.1.3
% 41.80/7.32 % (2569049)Termination reason: Instruction limit
% 41.80/7.32 % (2569049)Termination phase: Saturation
% 41.80/7.32 % (2569049)Time elapsed: 1.897 s
% 41.80/7.32 % (2569049)Peak memory usage: 139 MB
% 41.80/7.32 % (2569049)Instructions burned: 2990 (million)
% 41.80/7.32 % (2569064)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=2315593972:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2952 on theBenchmark for (2952ds/596Mi)
% 41.80/7.32 % (2569064)Refutation not found, incomplete strategy
% 41.80/7.32 % (2569064)------------------------------
% 41.80/7.32 % (2569064)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.80/7.32 % (2569064)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.80/7.32 % (2569064)CaDiCaL version: 2.1.3
% 41.80/7.32 % (2569064)Termination reason: Refutation not found, incomplete strategy
% 41.80/7.32 % (2569064)Time elapsed: 0.003 s
% 41.80/7.32 % (2569064)Peak memory usage: 88 MB
% 41.80/7.32 % (2569064)Instructions burned: 10 (million)
% 41.80/7.32 % (2569065)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=523018164:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2952 on theBenchmark for (2952ds/4123Mi)
% 41.80/7.32 % (2569064)------------------------------
% 41.80/7.32 % (2569064)------------------------------
% 41.80/7.32 % (2569068)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=2896314936:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2949 on theBenchmark for (2949ds/16411Mi)
% 41.80/7.32 % (2569061)Refutation not found, incomplete strategy
% 41.80/7.32 % (2569061)------------------------------
% 41.80/7.32 % (2569061)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.80/7.32 % (2569061)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.80/7.32 % (2569061)CaDiCaL version: 2.1.3
% 41.80/7.32 % (2569061)Termination reason: Refutation not found, incomplete strategy
% 41.80/7.32 % (2569061)Time elapsed: 1.589 s
% 41.80/7.32 % (2569061)Peak memory usage: 128 MB
% 41.80/7.32 % (2569061)Instructions burned: 914 (million)
% 41.80/7.32 % (2569061)------------------------------
% 41.80/7.32 % (2569061)------------------------------
% 41.80/7.32 % (2569070)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=3992517829:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2939 on theBenchmark for (2939ds/1670Mi)
% 41.80/7.32 % (2569068)First to succeed.
% 41.80/7.32 % (2569068)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-2568981"
% 41.80/7.32 % (2569060)Instruction limit reached!
% 41.80/7.32 % (2569060)------------------------------
% 41.80/7.32 % (2569060)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.80/7.32 % (2569060)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.80/7.32 % (2569060)CaDiCaL version: 2.1.3
% 41.80/7.32 % (2569060)Termination reason: Instruction limit
% 41.80/7.32 % (2569060)Termination phase: Saturation
% 41.80/7.32 % (2569060)Time elapsed: 2.273 s
% 41.80/7.32 % (2569060)Peak memory usage: 136 MB
% 41.80/7.32 % (2569060)Instructions burned: 2943 (million)
% 41.80/7.32 % (2569072)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=2946863626:st=3:cond=fast:i=1722:sd=2:ss=included:fsd=on_2936 on theBenchmark for (2936ds/1722Mi)
% 41.80/7.32 % SZS status Satisfiable for theBenchmark
% 41.80/7.32 % SZS output start Saturation.
% See solution above
% 43.39/7.58 % SZS output start Definitions and Model Updates.
% 43.39/7.58 % SZS output end Definitions and Model Updates.
% 43.39/7.58 % (2569068)------------------------------
% 43.39/7.58 % (2569068)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 43.39/7.58 % (2569068)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 43.39/7.58 % (2569068)CaDiCaL version: 2.1.3
% 43.39/7.58 % (2569068)Termination reason: Satisfiable
% 43.39/7.58 % (2569068)Time elapsed: 1.089 s
% 43.39/7.58 % (2569068)Peak memory usage: 132 MB
% 43.39/7.58 % (2569068)Instructions burned: 1610 (million)
% 43.39/7.58 % (2569068)------------------------------
% 43.39/7.58 % (2569068)------------------------------
% 43.39/7.58 % (2568981)Success in time 6.558 s
% 43.39/7.58 % Vampire exiting
%------------------------------------------------------------------------------