%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP124-2.005 : 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 : n004.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 10:12:41 AM UTC 2026
% Result : Satisfiable 3.66s 1.48s
% Output : Saturation 4.90s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u71,axiom,
~ product(e_5,e_1,e_5) ).
cnf(u76,axiom,
product(e_5,e_1,e_4) ).
cnf(u79,axiom,
~ product(e_5,e_1,e_3) ).
cnf(u83,axiom,
~ product(e_5,e_1,e_2) ).
cnf(u87,axiom,
~ product(e_5,e_1,e_1) ).
cnf(u93,axiom,
product(e_4,e_1,e_5) ).
cnf(u96,axiom,
~ product(e_4,e_1,e_4) ).
cnf(u100,axiom,
~ product(e_4,e_1,e_3) ).
cnf(u104,axiom,
~ product(e_4,e_1,e_2) ).
cnf(u108,axiom,
~ product(e_4,e_1,e_1) ).
cnf(u113,axiom,
~ product(e_3,e_1,e_5) ).
cnf(u117,axiom,
~ product(e_3,e_1,e_4) ).
cnf(u121,axiom,
~ product(e_3,e_1,e_3) ).
cnf(u126,axiom,
product(e_3,e_1,e_2) ).
cnf(u129,axiom,
~ product(e_3,e_1,e_1) ).
cnf(u134,axiom,
~ product(e_2,e_1,e_5) ).
cnf(u138,axiom,
~ product(e_2,e_1,e_4) ).
cnf(u143,axiom,
product(e_2,e_1,e_3) ).
cnf(u146,axiom,
~ product(e_2,e_1,e_2) ).
cnf(u150,axiom,
~ product(e_2,e_1,e_1) ).
cnf(u188,axiom,
~ product(e_5,e_2,e_5) ).
cnf(u192,axiom,
~ product(e_5,e_2,e_4) ).
cnf(u197,axiom,
product(e_5,e_2,e_3) ).
cnf(u200,axiom,
~ product(e_5,e_2,e_2) ).
cnf(u204,axiom,
~ product(e_5,e_2,e_1) ).
cnf(u209,axiom,
~ product(e_4,e_2,e_5) ).
cnf(u213,axiom,
~ product(e_4,e_2,e_4) ).
cnf(u217,axiom,
~ product(e_4,e_2,e_3) ).
cnf(u221,axiom,
~ product(e_4,e_2,e_2) ).
cnf(u226,axiom,
product(e_4,e_2,e_1) ).
cnf(u231,axiom,
product(e_3,e_2,e_5) ).
cnf(u234,axiom,
~ product(e_3,e_2,e_4) ).
cnf(u238,axiom,
~ product(e_3,e_2,e_3) ).
cnf(u242,axiom,
~ product(e_3,e_2,e_2) ).
cnf(u246,axiom,
~ product(e_3,e_2,e_1) ).
cnf(u251,axiom,
~ product(e_1,e_2,e_5) ).
cnf(u256,axiom,
product(e_1,e_2,e_4) ).
cnf(u259,axiom,
~ product(e_1,e_2,e_3) ).
cnf(u263,axiom,
~ product(e_1,e_2,e_2) ).
cnf(u267,axiom,
~ product(e_1,e_2,e_1) ).
cnf(u426,axiom,
~ product(e_5,e_3,e_5) ).
cnf(u430,axiom,
~ product(e_5,e_3,e_4) ).
cnf(u434,axiom,
~ product(e_5,e_3,e_3) ).
cnf(u438,axiom,
~ product(e_5,e_3,e_2) ).
cnf(u443,axiom,
product(e_5,e_3,e_1) ).
cnf(u447,axiom,
~ product(e_4,e_3,e_5) ).
cnf(u451,axiom,
~ product(e_4,e_3,e_4) ).
cnf(u455,axiom,
~ product(e_4,e_3,e_3) ).
cnf(u460,axiom,
product(e_4,e_3,e_2) ).
cnf(u463,axiom,
~ product(e_4,e_3,e_1) ).
cnf(u468,axiom,
~ product(e_2,e_3,e_5) ).
cnf(u473,axiom,
product(e_2,e_3,e_4) ).
cnf(u476,axiom,
~ product(e_2,e_3,e_3) ).
cnf(u480,axiom,
~ product(e_2,e_3,e_2) ).
cnf(u484,axiom,
~ product(e_2,e_3,e_1) ).
cnf(u490,axiom,
product(e_1,e_3,e_5) ).
cnf(u493,axiom,
~ product(e_1,e_3,e_4) ).
cnf(u497,axiom,
~ product(e_1,e_3,e_3) ).
cnf(u501,axiom,
~ product(e_1,e_3,e_2) ).
cnf(u505,axiom,
~ product(e_1,e_3,e_1) ).
cnf(u711,axiom,
~ product(e_5,e_4,e_5) ).
cnf(u715,axiom,
~ product(e_5,e_4,e_4) ).
cnf(u724,axiom,
product(e_5,e_4,e_2) ).
cnf(u732,axiom,
~ product(e_3,e_4,e_5) ).
cnf(u736,axiom,
~ product(e_3,e_4,e_4) ).
cnf(u740,axiom,
~ product(e_3,e_4,e_3) ).
cnf(u744,axiom,
~ product(e_3,e_4,e_2) ).
cnf(u749,axiom,
product(e_3,e_4,e_1) ).
cnf(u755,negated_conjecture,
~ product(e_2,e_4,e_4) ).
cnf(u759,negated_conjecture,
~ product(e_2,e_4,e_3) ).
cnf(u763,negated_conjecture,
~ product(e_2,e_4,e_2) ).
cnf(u767,negated_conjecture,
~ product(e_2,e_4,e_1) ).
cnf(u772,negated_conjecture,
~ product(e_1,e_4,e_5) ).
cnf(u776,negated_conjecture,
~ product(e_1,e_4,e_4) ).
cnf(u780,negated_conjecture,
~ product(e_1,e_4,e_2) ).
cnf(u784,negated_conjecture,
~ product(e_1,e_4,e_1) ).
cnf(u790,axiom,
product(e_2,e_4,e_5) ).
cnf(u795,axiom,
product(e_1,e_4,e_3) ).
cnf(u982,axiom,
~ product(e_4,e_5,e_5) ).
cnf(u986,axiom,
~ product(e_4,e_5,e_4) ).
cnf(u991,axiom,
product(e_4,e_5,e_3) ).
cnf(u994,axiom,
~ product(e_4,e_5,e_2) ).
cnf(u998,axiom,
~ product(e_4,e_5,e_1) ).
cnf(u1008,negated_conjecture,
~ product(e_1,e_5,e_5) ).
cnf(u1012,negated_conjecture,
~ product(e_1,e_5,e_3) ).
cnf(u1017,negated_conjecture,
product(e_1,e_5,e_2) ).
cnf(u1020,negated_conjecture,
~ product(e_1,e_5,e_1) ).
cnf(u1025,negated_conjecture,
~ product(e_3,e_5,e_3) ).
cnf(u1029,negated_conjecture,
~ product(e_3,e_5,e_2) ).
cnf(u1033,negated_conjecture,
~ product(e_3,e_5,e_1) ).
cnf(u1038,negated_conjecture,
~ product(e_2,e_5,e_5) ).
cnf(u1042,negated_conjecture,
~ product(e_2,e_5,e_2) ).
cnf(u1047,negated_conjecture,
product(e_2,e_5,e_1) ).
cnf(u1051,negated_conjecture,
~ product(e_2,e_5,e_4) ).
cnf(u1056,axiom,
~ product(e_1,e_5,e_4) ).
cnf(u1061,negated_conjecture,
~ product(e_3,e_5,e_5) ).
cnf(u1067,axiom,
product(e_3,e_5,e_4) ).
cnf(u1071,axiom,
~ product(e_2,e_5,e_3) ).
cnf(u2954,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_3)
| equalish(X0,e_5) ) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2) ).
cnf(e_3_is_not_e_5,axiom,
~ equalish(e_3,e_5) ).
cnf(u2959,axiom,
( ~ product(X0,e_2,e_3)
| equalish(X0,e_5) ) ).
cnf(u3134,negated_conjecture,
( ~ product(e_5,e_1,X0)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_1) ) ).
cnf(e_5_is_not_e_2,axiom,
~ equalish(e_5,e_2) ).
cnf(u3481,negated_conjecture,
~ product(e_3,e_3,e_5) ).
cnf(u3116,negated_conjecture,
( ~ product(e_3,e_4,X0)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_3) ) ).
cnf(u61,axiom,
( ~ group_element(X0)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| product(X0,e_3,e_4)
| product(X0,e_3,e_5) ) ).
cnf(u2996,negated_conjecture,
( ~ product(e_4,X1,X2)
| ~ product(e_2,e_1,X0)
| ~ product(X1,X2,X0)
| equalish(X1,e_2) ) ).
cnf(u3131,negated_conjecture,
( ~ product(e_2,X0,e_1)
| equalish(X0,e_5) ) ).
cnf(u3120,negated_conjecture,
( ~ product(e_3,e_4,X0)
| ~ product(e_1,e_3,X0) ) ).
cnf(u3773,negated_conjecture,
( ~ product(e_3,e_5,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_3) ) ).
cnf(u3771,axiom,
( ~ product(e_1,X0,e_5)
| equalish(X0,e_3) ) ).
cnf(u3002,negated_conjecture,
( ~ product(e_2,e_1,X0)
| ~ product(e_1,e_5,X0) ) ).
cnf(u3403,negated_conjecture,
( ~ product(e_5,X1,X2)
| ~ product(e_3,e_1,X0)
| ~ product(X1,X2,X0)
| equalish(X1,e_3) ) ).
cnf(u3406,negated_conjecture,
( ~ product(X0,e_5,e_3)
| ~ product(X0,X0,e_1)
| equalish(e_5,X0) ) ).
cnf(u3423,negated_conjecture,
( ~ product(e_5,e_5,X0)
| ~ product(e_3,e_1,X0) ) ).
cnf(u3791,negated_conjecture,
( ~ product(e_4,e_1,X0)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_4) ) ).
cnf(u3551,negated_conjecture,
( ~ product(X0,e_2,e_4)
| ~ product(X0,X0,e_5)
| equalish(e_4,X0) ) ).
cnf(u3921,negated_conjecture,
( ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_2)
| equalish(X1,e_4) ) ).
cnf(u3538,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_5)
| equalish(X1,e_4) ) ).
cnf(u3708,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_4)
| equalish(X0,e_5) ) ).
cnf(u3444,negated_conjecture,
( ~ product(X0,e_3,e_1)
| ~ product(X0,X0,e_2)
| equalish(e_3,X0) ) ).
cnf(u3845,negated_conjecture,
( ~ product(e_5,e_3,X0)
| ~ product(e_2,e_1,X0) ) ).
cnf(u3843,negated_conjecture,
( ~ product(e_5,e_3,X0)
| ~ product(e_1,e_5,X0) ) ).
cnf(e_4_greater_e_1,axiom,
greater(e_4,e_1) ).
cnf(u645,axiom,
~ next(e_2,e_1) ).
cnf(u3411,negated_conjecture,
( ~ product(e_3,e_1,X0)
| ~ product(e_2,e_3,X0) ) ).
cnf(e_2_greater_e_1,axiom,
greater(e_2,e_1) ).
cnf(u3576,axiom,
( ~ product(X0,e_4,e_3)
| equalish(X0,e_1) ) ).
cnf(u3311,negated_conjecture,
( ~ product(X0,e_5,e_4)
| ~ product(X0,X0,e_2)
| equalish(e_4,X0) ) ).
cnf(u390,axiom,
~ next(e_4,e_4) ).
cnf(u3213,axiom,
( ~ product(e_4,X0,e_2)
| equalish(X0,e_3) ) ).
cnf(element_1,axiom,
group_element(e_1) ).
cnf(u388,axiom,
~ next(e_4,e_2) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3) ).
cnf(u3219,negated_conjecture,
~ product(e_4,e_4,e_5) ).
cnf(product_idempotence,axiom,
product(X0,X0,X0) ).
cnf(u3115,axiom,
( ~ product(X0,e_3,e_4)
| equalish(X0,e_2) ) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3) ).
cnf(u2999,negated_conjecture,
( ~ product(X0,e_4,e_2)
| ~ product(X0,X0,e_1)
| equalish(e_4,X0) ) ).
cnf(u3915,negated_conjecture,
( ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_2)
| equalish(X0,e_5) ) ).
cnf(u62,axiom,
( ~ group_element(X0)
| product(X0,e_4,e_1)
| product(X0,e_4,e_2)
| product(X0,e_4,e_3)
| product(X0,e_4,e_4)
| product(X0,e_4,e_5) ) ).
cnf(u2843,negated_conjecture,
( ~ product(e_5,e_2,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_2) ) ).
cnf(u3232,negated_conjecture,
( ~ product(e_4,e_4,X0)
| ~ product(e_3,e_2,X0) ) ).
cnf(u3491,negated_conjecture,
~ product(e_2,e_2,e_1) ).
cnf(u60,axiom,
( ~ group_element(X0)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| product(X0,e_2,e_4)
| product(X0,e_2,e_5) ) ).
cnf(u3738,negated_conjecture,
~ product(e_2,e_2,e_4) ).
cnf(u3775,negated_conjecture,
( ~ product(X0,e_1,e_3)
| ~ product(X0,X0,e_5)
| equalish(e_3,X0) ) ).
cnf(u3407,negated_conjecture,
( ~ product(e_4,e_2,X0)
| ~ product(e_3,e_1,X0) ) ).
cnf(u2901,negated_conjecture,
( ~ product(X0,e_4,e_1)
| ~ product(X0,X0,e_5)
| equalish(e_1,X0) ) ).
cnf(u2899,negated_conjecture,
( ~ product(e_4,X1,X2)
| ~ product(e_1,e_5,X0)
| ~ product(X1,X2,X0)
| equalish(X1,e_1) ) ).
cnf(u974,negated_conjecture,
( ~ product(X0,e_2,e_1)
| ~ product(X0,X0,e_3)
| equalish(e_2,X0) ) ).
cnf(u3029,negated_conjecture,
( ~ product(X0,e_3,e_2)
| ~ product(X0,X0,e_5)
| equalish(e_2,X0) ) ).
cnf(u3027,negated_conjecture,
( ~ product(e_3,X1,X2)
| ~ product(e_2,e_5,X0)
| ~ product(X1,X2,X0)
| equalish(X1,e_2) ) ).
cnf(u3813,negated_conjecture,
( ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_5)
| equalish(X0,e_4) ) ).
cnf(u3794,negated_conjecture,
( ~ product(X0,e_3,e_4)
| ~ product(X0,X0,e_1)
| equalish(e_3,X0) ) ).
cnf(u3692,negated_conjecture,
~ product(e_1,e_1,e_5) ).
cnf(u2902,negated_conjecture,
( ~ product(X0,e_4,e_1)
| ~ product(X0,X0,e_5)
| equalish(e_4,X0) ) ).
cnf(u3546,axiom,
( ~ product(e_2,e_4,X0)
| equalish(X0,e_5) ) ).
cnf(u968,axiom,
( ~ product(e_2,e_1,X0)
| equalish(X0,e_3) ) ).
cnf(u3030,negated_conjecture,
( ~ product(X0,e_3,e_2)
| ~ product(X0,X0,e_5)
| equalish(e_3,X0) ) ).
cnf(u3036,axiom,
( ~ product(e_1,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(u3041,negated_conjecture,
( ~ product(X0,e_1,e_2)
| ~ product(X0,X0,e_4)
| equalish(e_1,X0) ) ).
cnf(u631,negated_conjecture,
~ product(e_2,e_2,e_5) ).
cnf(u3306,axiom,
( ~ product(e_5,e_4,X0)
| equalish(X0,e_2) ) ).
cnf(u3580,negated_conjecture,
( ~ product(X0,e_1,e_4)
| ~ product(X0,X0,e_3)
| equalish(e_1,X0) ) ).
cnf(u646,axiom,
~ next(e_2,e_2) ).
cnf(u385,axiom,
~ next(e_5,e_2) ).
cnf(e_3_greater_e_1,axiom,
greater(e_3,e_1) ).
cnf(u2841,negated_conjecture,
( ~ product(X0,e_5,e_2)
| equalish(X0,e_1) ) ).
cnf(u3577,negated_conjecture,
( ~ product(e_4,e_3,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_4) ) ).
cnf(u2958,axiom,
( ~ product(e_5,X0,e_3)
| equalish(X0,e_2) ) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1) ).
cnf(u3840,negated_conjecture,
( ~ product(X0,e_4,e_5)
| ~ product(X0,X0,e_3)
| equalish(e_4,X0) ) ).
cnf(u3223,negated_conjecture,
( ~ product(e_3,e_2,X0)
| ~ product(e_2,e_1,X0) ) ).
cnf(u3212,axiom,
( ~ product(e_4,e_3,X0)
| equalish(X0,e_2) ) ).
cnf(element_4,axiom,
group_element(e_4) ).
cnf(u389,axiom,
~ next(e_4,e_3) ).
cnf(qg2_1,negated_conjecture,
( ~ product(X5,X3,X4)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X0,X1,X2)
| equalish(X0,X3) ) ).
cnf(u3216,negated_conjecture,
( ~ product(e_4,X1,X2)
| ~ product(e_3,e_2,X0)
| ~ product(X1,X2,X0)
| equalish(X2,e_2) ) ).
cnf(u3892,negated_conjecture,
( ~ product(X0,e_3,e_5)
| ~ product(X0,X0,e_4)
| equalish(e_5,X0) ) ).
cnf(element_2,axiom,
group_element(e_2) ).
cnf(u3890,negated_conjecture,
( ~ product(e_5,e_4,X0)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_5) ) ).
cnf(u2842,negated_conjecture,
( ~ product(e_5,e_2,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_5) ) ).
cnf(product_left_cancellation,axiom,
( ~ product(X3,X1,X2)
| ~ product(X0,X1,X2)
| equalish(X0,X3) ) ).
cnf(u3724,negated_conjecture,
( ~ product(X0,e_5,e_1)
| ~ product(X0,X0,e_4)
| equalish(e_1,X0) ) ).
cnf(u3896,negated_conjecture,
( ~ product(e_5,e_4,X0)
| ~ product(e_2,e_5,X0) ) ).
cnf(u59,axiom,
( ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4)
| product(X0,e_1,e_5) ) ).
cnf(u3728,negated_conjecture,
( ~ product(e_3,e_1,X0)
| ~ product(e_1,e_4,X0) ) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2) ).
cnf(u57,axiom,
( ~ product(X0,X1,X1)
| equalish(X0,X1) ) ).
cnf(u3889,axiom,
( ~ product(X0,e_5,e_4)
| equalish(X0,e_3) ) ).
cnf(u3774,negated_conjecture,
( ~ product(e_3,e_5,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_5) ) ).
cnf(u63,axiom,
( ~ group_element(X0)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| product(X0,e_5,e_5) ) ).
cnf(u2898,axiom,
( ~ product(X0,e_1,e_5)
| equalish(X0,e_4) ) ).
cnf(u3780,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_1)
| equalish(X0,e_3) ) ).
cnf(u3011,negated_conjecture,
( ~ product(e_4,e_4,X0)
| ~ product(e_2,e_1,X0) ) ).
cnf(u3797,negated_conjecture,
( ~ product(e_4,e_1,X0)
| ~ product(e_1,e_2,X0) ) ).
cnf(u3402,axiom,
( ~ product(X0,e_3,e_1)
| equalish(X0,e_5) ) ).
cnf(u969,axiom,
( ~ product(e_2,X0,e_3)
| equalish(X0,e_1) ) ).
cnf(u3026,axiom,
( ~ product(X0,e_2,e_5)
| equalish(X0,e_3) ) ).
cnf(u3790,axiom,
( ~ product(X0,e_4,e_1)
| equalish(X0,e_3) ) ).
cnf(u3847,negated_conjecture,
( ~ product(e_5,e_3,X0)
| ~ product(e_3,e_2,X0) ) ).
cnf(u2897,axiom,
( ~ product(e_4,X0,e_5)
| equalish(X0,e_1) ) ).
cnf(u973,negated_conjecture,
( ~ product(X0,e_2,e_1)
| ~ product(X0,X0,e_3)
| equalish(e_1,X0) ) ).
cnf(u3162,negated_conjecture,
~ product(e_5,e_5,e_4) ).
cnf(u971,negated_conjecture,
( ~ product(e_2,X1,X2)
| ~ product(e_1,e_3,X0)
| ~ product(X1,X2,X0)
| equalish(X1,e_1) ) ).
cnf(u3025,axiom,
( ~ product(e_3,X0,e_5)
| equalish(X0,e_2) ) ).
cnf(u3309,negated_conjecture,
( ~ product(e_5,X1,X2)
| ~ product(e_4,e_2,X0)
| ~ product(X1,X2,X0)
| equalish(X1,e_4) ) ).
cnf(u3440,axiom,
( ~ product(X0,e_1,e_2)
| equalish(X0,e_3) ) ).
cnf(u3039,negated_conjecture,
( ~ product(e_2,e_4,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_4) ) ).
cnf(u3315,negated_conjecture,
( ~ product(e_4,e_2,X0)
| ~ product(e_2,e_3,X0) ) ).
cnf(e_5_greater_e_3,axiom,
greater(e_5,e_3) ).
cnf(u2839,negated_conjecture,
( ~ product(e_1,e_5,X0)
| equalish(X0,e_2) ) ).
cnf(u3214,axiom,
( ~ product(X0,e_3,e_2)
| equalish(X0,e_4) ) ).
cnf(u2953,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_3)
| equalish(X1,e_2) ) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4) ).
cnf(u2967,negated_conjecture,
~ product(e_1,e_1,e_3) ).
cnf(u3903,negated_conjecture,
~ product(e_1,e_1,e_4) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2) ).
cnf(u3719,axiom,
( ~ product(e_5,e_1,X0)
| equalish(X0,e_4) ) ).
cnf(u386,axiom,
~ next(e_5,e_3) ).
cnf(e_2_is_not_e_5,axiom,
~ equalish(e_2,e_5) ).
cnf(u3836,axiom,
( ~ product(X0,e_5,e_3)
| equalish(X0,e_4) ) ).
cnf(u3725,negated_conjecture,
( ~ product(X0,e_5,e_1)
| ~ product(X0,X0,e_4)
| equalish(e_5,X0) ) ).
cnf(product_right_cancellation,axiom,
( ~ product(X0,X3,X2)
| ~ product(X0,X1,X2)
| equalish(X1,X3) ) ).
cnf(u3723,negated_conjecture,
( ~ product(e_5,X1,X2)
| ~ product(e_1,e_4,X0)
| ~ product(X1,X2,X0)
| equalish(X2,e_4) ) ).
cnf(u1174,negated_conjecture,
( ~ product(e_2,e_2,X0)
| ~ product(e_1,e_3,X0) ) ).
cnf(u384,axiom,
~ next(e_5,e_1) ).
cnf(element_3,axiom,
group_element(e_3) ).
cnf(u2960,negated_conjecture,
( ~ product(e_5,X1,X2)
| ~ product(e_2,e_3,X0)
| ~ product(X1,X2,X0)
| equalish(X1,e_2) ) ).
cnf(product_total_function1,axiom,
( ~ group_element(X1)
| ~ group_element(X0)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| product(X0,X1,e_5) ) ).
cnf(u2997,negated_conjecture,
( ~ product(e_4,X1,X2)
| ~ product(e_2,e_1,X0)
| ~ product(X1,X2,X0)
| equalish(X2,e_1) ) ).
cnf(qg2_2,negated_conjecture,
( ~ product(X5,X3,X4)
| ~ product(X3,X4,X2)
| ~ product(X5,X0,X1)
| ~ product(X0,X1,X2)
| equalish(X1,X4) ) ).
cnf(u2995,axiom,
( ~ product(X0,e_2,e_1)
| equalish(X0,e_4) ) ).
cnf(u3217,negated_conjecture,
( ~ product(X0,e_4,e_3)
| ~ product(X0,X0,e_2)
| equalish(e_3,X0) ) ).
cnf(u3135,negated_conjecture,
( ~ product(X0,e_2,e_5)
| ~ product(X0,X0,e_1)
| equalish(e_5,X0) ) ).
cnf(u3722,negated_conjecture,
( ~ product(e_5,X1,X2)
| ~ product(e_1,e_4,X0)
| ~ product(X1,X2,X0)
| equalish(X1,e_1) ) ).
cnf(u2998,negated_conjecture,
( ~ product(X0,e_4,e_2)
| ~ product(X0,X0,e_1)
| equalish(e_2,X0) ) ).
cnf(u3400,axiom,
( ~ product(e_5,e_3,X0)
| equalish(X0,e_1) ) ).
cnf(u3165,negated_conjecture,
~ product(e_3,e_3,e_1) ).
cnf(u2895,axiom,
( ~ greater(e_5,X0)
| ~ next(e_4,X0) ) ).
cnf(u970,axiom,
( ~ product(X0,e_1,e_3)
| equalish(X0,e_2) ) ).
cnf(u3548,axiom,
( ~ product(X0,e_4,e_5)
| equalish(X0,e_2) ) ).
cnf(u3437,axiom,
( ~ greater(e_2,X0)
| ~ next(e_3,X0) ) ).
cnf(u3441,negated_conjecture,
( ~ product(e_3,X1,X2)
| ~ product(e_1,e_2,X0)
| ~ product(X1,X2,X0)
| equalish(X1,e_1) ) ).
cnf(u3308,axiom,
( ~ product(X0,e_4,e_2)
| equalish(X0,e_5) ) ).
cnf(u3443,negated_conjecture,
( ~ product(X0,e_3,e_1)
| ~ product(X0,X0,e_2)
| equalish(e_1,X0) ) ).
cnf(e_5_greater_e_4,axiom,
greater(e_5,e_4) ).
cnf(u3312,negated_conjecture,
( ~ product(X0,e_5,e_4)
| ~ product(X0,X0,e_2)
| equalish(e_5,X0) ) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4) ).
cnf(u3707,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_4)
| equalish(X1,e_1) ) ).
cnf(u3887,axiom,
( ~ product(e_3,e_5,X0)
| equalish(X0,e_4) ) ).
cnf(u3834,axiom,
( ~ product(e_4,e_5,X0)
| equalish(X0,e_3) ) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3) ).
cnf(u3837,negated_conjecture,
( ~ product(e_5,e_3,X0)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_5) ) ).
cnf(u3445,negated_conjecture,
~ product(e_3,e_3,e_4) ).
cnf(u3824,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_3)
| equalish(X0,e_4) ) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3) ).
cnf(u3853,negated_conjecture,
~ product(e_2,e_2,e_3) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1) ).
cnf(u387,axiom,
~ next(e_4,e_1) ).
cnf(u52,axiom,
( ~ greater(e_1,X0)
| ~ next(e_1,X0) ) ).
cnf(u2981,negated_conjecture,
( ~ product(e_5,e_5,X0)
| ~ product(e_2,e_3,X0) ) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4) ).
cnf(product_total_function2,axiom,
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| equalish(X2,X3) ) ).
cnf(u2994,axiom,
( ~ product(e_4,X0,e_1)
| equalish(X0,e_2) ) ).
cnf(e_5_is_not_e_4,axiom,
~ equalish(e_5,e_4) ).
cnf(u3772,axiom,
( ~ product(X0,e_3,e_5)
| equalish(X0,e_1) ) ).
cnf(u3119,negated_conjecture,
( ~ product(X0,e_2,e_3)
| ~ product(X0,X0,e_4)
| equalish(e_2,X0) ) ).
cnf(u3118,negated_conjecture,
( ~ product(X0,e_2,e_3)
| ~ product(X0,X0,e_4)
| equalish(e_3,X0) ) ).
cnf(u3130,negated_conjecture,
( ~ product(e_2,e_5,X0)
| equalish(X0,e_1) ) ).
cnf(u2993,axiom,
( ~ product(e_4,e_2,X0)
| equalish(X0,e_1) ) ).
cnf(u3404,negated_conjecture,
( ~ product(e_5,X1,X2)
| ~ product(e_3,e_1,X0)
| ~ product(X1,X2,X0)
| equalish(X2,e_1) ) ).
cnf(u3401,axiom,
( ~ product(e_5,X0,e_1)
| equalish(X0,e_3) ) ).
cnf(u3721,axiom,
( ~ product(X0,e_1,e_4)
| equalish(X0,e_5) ) ).
cnf(u1503,negated_conjecture,
~ product(e_4,e_4,e_3) ).
cnf(u3581,negated_conjecture,
~ product(e_1,e_1,e_2) ).
cnf(u3038,negated_conjecture,
( ~ product(e_2,e_4,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_2) ) ).
cnf(u3310,negated_conjecture,
( ~ product(e_5,X1,X2)
| ~ product(e_4,e_2,X0)
| ~ product(X1,X2,X0)
| equalish(X2,e_2) ) ).
cnf(u3549,negated_conjecture,
( ~ product(e_4,e_5,X0)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_4) ) ).
cnf(u2909,negated_conjecture,
( ~ product(e_4,e_4,X0)
| ~ product(e_1,e_5,X0) ) ).
cnf(u3553,negated_conjecture,
( ~ product(e_4,e_5,X0)
| ~ product(e_1,e_3,X0) ) ).
cnf(u3307,axiom,
( ~ product(e_5,X0,e_2)
| equalish(X0,e_4) ) ).
cnf(u3795,negated_conjecture,
( ~ product(e_4,e_1,X0)
| ~ product(e_2,e_5,X0) ) ).
cnf(u3447,negated_conjecture,
( ~ product(e_2,e_5,X0)
| ~ product(e_1,e_2,X0) ) ).
cnf(u3037,axiom,
( ~ product(X0,e_2,e_4)
| equalish(X0,e_1) ) ).
cnf(u3835,axiom,
( ~ product(e_4,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u3451,negated_conjecture,
~ product(e_5,e_5,e_2) ).
cnf(u3035,axiom,
( ~ product(e_1,e_2,X0)
| equalish(X0,e_4) ) ).
cnf(u3871,negated_conjecture,
( ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_1)
| equalish(X1,e_3) ) ).
cnf(u3575,axiom,
( ~ product(e_1,X0,e_3)
| equalish(X0,e_4) ) ).
cnf(e_5_greater_e_2,axiom,
greater(e_5,e_2) ).
cnf(u3818,negated_conjecture,
( ~ product(e_3,X0,X1)
| ~ product(X0,X1,e_5)
| equalish(X1,e_1) ) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3) ).
cnf(u3050,negated_conjecture,
( ~ product(e_3,e_3,X0)
| ~ product(e_2,e_5,X0) ) ).
cnf(u3579,negated_conjecture,
( ~ product(X0,e_1,e_4)
| ~ product(X0,X0,e_3)
| equalish(e_4,X0) ) ).
cnf(u3839,negated_conjecture,
( ~ product(X0,e_4,e_5)
| ~ product(X0,X0,e_3)
| equalish(e_5,X0) ) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2) ).
cnf(e_4_is_not_e_5,axiom,
~ equalish(e_4,e_5) ).
cnf(u3841,negated_conjecture,
~ product(e_4,e_4,e_1) ).
cnf(u3726,negated_conjecture,
~ product(e_5,e_5,e_3) ).
cnf(no_redundancy,axiom,
( ~ product(X0,e_1,X1)
| ~ next(X0,X2)
| ~ greater(X1,X2) ) ).
cnf(u3732,negated_conjecture,
( ~ product(e_2,e_3,X0)
| ~ product(e_1,e_4,X0) ) ).
cnf(u2963,negated_conjecture,
( ~ product(X0,e_5,e_2)
| ~ product(X0,X0,e_3)
| equalish(e_5,X0) ) ).
cnf(u3313,negated_conjecture,
~ product(e_5,e_5,e_1) ).
cnf(u3730,negated_conjecture,
( ~ product(e_4,e_2,X0)
| ~ product(e_1,e_4,X0) ) ).
cnf(u3457,negated_conjecture,
( ~ product(e_3,e_3,X0)
| ~ product(e_1,e_2,X0) ) ).
cnf(u49,negated_conjecture,
( ~ product(X2,X3,X1)
| ~ product(X0,X2,X3)
| ~ product(X0,X0,X1)
| equalish(X2,X0) ) ).
cnf(u3893,negated_conjecture,
( ~ product(X0,e_3,e_5)
| ~ product(X0,X0,e_4)
| equalish(e_3,X0) ) ).
cnf(e_1_is_not_e_5,axiom,
~ equalish(e_1,e_5) ).
cnf(u3113,axiom,
( ~ product(e_2,e_3,X0)
| equalish(X0,e_4) ) ).
cnf(u3756,negated_conjecture,
( ~ product(e_5,e_5,X0)
| ~ product(e_1,e_4,X0) ) ).
cnf(u3891,negated_conjecture,
( ~ product(e_5,e_4,X0)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_4) ) ).
cnf(u2844,negated_conjecture,
( ~ product(X0,e_1,e_5)
| ~ product(X0,X0,e_2)
| equalish(e_5,X0) ) ).
cnf(u55,axiom,
( ~ product(X0,X1,X0)
| equalish(X1,X0) ) ).
cnf(u3218,negated_conjecture,
( ~ product(X0,e_4,e_3)
| ~ product(X0,X0,e_2)
| equalish(e_4,X0) ) ).
cnf(u3133,negated_conjecture,
( ~ product(e_5,e_1,X0)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X1,e_5) ) ).
cnf(u3114,axiom,
( ~ product(e_2,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(u53,axiom,
( ~ product(X0,X0,X1)
| equalish(X1,X0) ) ).
cnf(u3894,negated_conjecture,
~ product(e_3,e_3,e_2) ).
cnf(u3898,negated_conjecture,
( ~ product(e_5,e_4,X0)
| ~ product(e_1,e_2,X0) ) ).
cnf(u3139,negated_conjecture,
( ~ product(e_5,e_1,X0)
| ~ product(e_1,e_3,X0) ) ).
cnf(u2900,negated_conjecture,
( ~ product(e_4,X1,X2)
| ~ product(e_1,e_5,X0)
| ~ product(X1,X2,X0)
| equalish(X2,e_5) ) ).
cnf(u3405,negated_conjecture,
( ~ product(X0,e_5,e_3)
| ~ product(X0,X0,e_1)
| equalish(e_3,X0) ) ).
cnf(u3331,negated_conjecture,
( ~ product(e_5,e_5,X0)
| ~ product(e_4,e_2,X0) ) ).
cnf(u3028,negated_conjecture,
( ~ product(e_3,X1,X2)
| ~ product(e_2,e_5,X0)
| ~ product(X1,X2,X0)
| equalish(X2,e_5) ) ).
cnf(u3779,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_1)
| equalish(X1,e_4) ) ).
cnf(u967,axiom,
( ~ greater(e_3,X0)
| ~ next(e_2,X0) ) ).
cnf(u3539,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_5)
| equalish(X0,e_2) ) ).
cnf(u3788,axiom,
( ~ product(e_3,e_4,X0)
| equalish(X0,e_1) ) ).
cnf(u3438,axiom,
( ~ product(e_3,e_1,X0)
| equalish(X0,e_2) ) ).
cnf(u3792,negated_conjecture,
( ~ product(e_4,e_1,X0)
| ~ product(e_3,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_1) ) ).
cnf(u3040,negated_conjecture,
( ~ product(X0,e_1,e_2)
| ~ product(X0,X0,e_4)
| equalish(e_2,X0) ) ).
cnf(u3823,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X0,X1,e_3)
| equalish(X1,e_5) ) ).
cnf(u3442,negated_conjecture,
( ~ product(e_3,X1,X2)
| ~ product(e_1,e_2,X0)
| ~ product(X1,X2,X0)
| equalish(X2,e_2) ) ).
cnf(u3583,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_2)
| equalish(X0,e_4) ) ).
cnf(element_5,axiom,
group_element(e_5) ).
cnf(u3838,negated_conjecture,
( ~ product(e_5,e_3,X0)
| ~ product(e_4,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_3) ) ).
cnf(u2845,negated_conjecture,
( ~ product(X0,e_1,e_5)
| ~ product(X0,X0,e_2)
| equalish(e_1,X0) ) ).
cnf(u2840,negated_conjecture,
( ~ product(e_1,X0,e_2)
| equalish(X0,e_5) ) ).
cnf(e_4_greater_e_2,axiom,
greater(e_4,e_2) ).
cnf(u3552,negated_conjecture,
( ~ product(X0,e_2,e_4)
| ~ product(X0,X0,e_5)
| equalish(e_2,X0) ) ).
cnf(u3720,axiom,
( ~ product(e_5,X0,e_4)
| equalish(X0,e_1) ) ).
cnf(u2962,negated_conjecture,
( ~ product(X0,e_5,e_2)
| ~ product(X0,X0,e_3)
| equalish(e_2,X0) ) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1) ).
cnf(u2957,axiom,
( ~ product(e_5,e_2,X0)
| equalish(X0,e_3) ) ).
cnf(u3877,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_4)
| equalish(X1,e_5) ) ).
cnf(e_5_greater_e_1,axiom,
greater(e_5,e_1) ).
cnf(u3221,negated_conjecture,
( ~ product(e_3,e_2,X0)
| ~ product(e_1,e_5,X0) ) ).
cnf(e_5_is_not_e_3,axiom,
~ equalish(e_5,e_3) ).
cnf(u3117,negated_conjecture,
( ~ product(e_3,e_4,X0)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_4) ) ).
cnf(e_5_is_not_e_1,axiom,
~ equalish(e_5,e_1) ).
cnf(u3215,negated_conjecture,
( ~ product(e_4,X1,X2)
| ~ product(e_3,e_2,X0)
| ~ product(X1,X2,X0)
| equalish(X1,e_3) ) ).
cnf(u2961,negated_conjecture,
( ~ product(e_5,X1,X2)
| ~ product(e_2,e_3,X0)
| ~ product(X1,X2,X0)
| equalish(X2,e_3) ) ).
cnf(u48,negated_conjecture,
( ~ product(X2,X3,X1)
| ~ product(X0,X2,X3)
| ~ product(X0,X0,X1)
| equalish(X3,X0) ) ).
cnf(u3878,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_4)
| equalish(X0,e_3) ) ).
cnf(u54,axiom,
equalish(X0,X0) ).
cnf(u3132,negated_conjecture,
( ~ product(X0,e_5,e_1)
| equalish(X0,e_2) ) ).
cnf(u3888,axiom,
( ~ product(e_3,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(u2903,negated_conjecture,
~ product(e_4,e_4,e_2) ).
cnf(u3136,negated_conjecture,
( ~ product(X0,e_2,e_5)
| ~ product(X0,X0,e_1)
| equalish(e_2,X0) ) ).
cnf(u3770,axiom,
( ~ product(e_1,e_3,X0)
| equalish(X0,e_5) ) ).
cnf(u3789,axiom,
( ~ product(e_3,X0,e_1)
| equalish(X0,e_4) ) ).
cnf(u2896,axiom,
( ~ product(e_4,e_1,X0)
| equalish(X0,e_5) ) ).
cnf(u972,negated_conjecture,
( ~ product(e_2,X1,X2)
| ~ product(e_1,e_3,X0)
| ~ product(X1,X2,X0)
| equalish(X2,e_3) ) ).
cnf(u3439,axiom,
( ~ product(e_3,X0,e_2)
| equalish(X0,e_1) ) ).
cnf(u3776,negated_conjecture,
( ~ product(X0,e_1,e_3)
| ~ product(X0,X0,e_5)
| equalish(e_1,X0) ) ).
cnf(u3793,negated_conjecture,
( ~ product(X0,e_3,e_4)
| ~ product(X0,X0,e_1)
| equalish(e_4,X0) ) ).
cnf(u3547,axiom,
( ~ product(e_2,X0,e_5)
| equalish(X0,e_4) ) ).
cnf(u3933,axiom,
~ next(e_3,e_1) ).
cnf(u3024,axiom,
( ~ product(e_3,e_2,X0)
| equalish(X0,e_5) ) ).
cnf(u3589,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X0,X1,e_2)
| equalish(X1,e_3) ) ).
cnf(u3550,negated_conjecture,
( ~ product(e_4,e_5,X0)
| ~ product(e_2,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_5) ) ).
cnf(e_4_then_e_5,axiom,
next(e_4,e_5) ).
cnf(u3574,axiom,
( ~ product(e_1,e_4,X0)
| equalish(X0,e_3) ) ).
cnf(u3718,axiom,
( ~ greater(e_4,X0)
| ~ next(e_5,X0) ) ).
cnf(u3578,negated_conjecture,
( ~ product(e_4,e_3,X0)
| ~ product(e_1,X1,X2)
| ~ product(X1,X2,X0)
| equalish(X2,e_3) ) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4) ).
cnf(u3865,negated_conjecture,
( ~ product(e_4,X0,X1)
| ~ product(X0,X1,e_1)
| equalish(X0,e_5) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP124-2.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.37 % Computer : n004.cluster.edu
% 0.09/0.37 % Model : x86_64 x86_64
% 0.09/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.37 % Memory : 8046.5625MB
% 0.09/0.37 % OS : Linux 6.8.0-71-generic
% 0.09/0.37 % CPULimit : 300
% 0.09/0.37 % WCLimit : 300
% 0.09/0.37 % DateTime : Sun Sep 27 09:20:37 UTC 2026
% 0.09/0.37 % CPUTime :
% 0.09/0.37 Running run_vampire /export/starexec/sandbox2/benchmark/theBenchmark.p 300 THM
% 0.09/0.41 Running first-order theorem proving
% 0.09/0.41 Running: /export/starexec/sandbox2/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 3.66/1.48 % (3248777)Input is clausal, will run a generic CNF schedule.
% 3.66/1.48 % (3248785)lrs+10_1_sil=8000:sp=occurrence:random_seed=3693714007:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.66/1.48 % (3248785)Instruction limit reached!
% 3.66/1.48 % (3248785)------------------------------
% 3.66/1.48 % (3248785)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.48 % (3248785)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.48 % (3248785)CaDiCaL version: 2.1.3
% 3.66/1.48 % (3248785)Termination reason: Instruction limit
% 3.66/1.48 % (3248785)Termination phase: Saturation
% 3.66/1.48 % (3248785)Time elapsed: 0.032 s
% 3.66/1.48 % (3248785)Peak memory usage: 88 MB
% 3.66/1.48 % (3248785)Instructions burned: 110 (million)
% 3.66/1.48 % (3248783)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=4098286970:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.66/1.48 % (3248784)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3076354060:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.66/1.48 % (3248782)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=746162104:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.66/1.48 % (3248787)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=2835190900:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.66/1.48 % (3248786)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=1827629627:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.66/1.48 % (3248788)dis-21_1_sil=8000:lcm=predicate:random_seed=2473100305: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)
% 3.66/1.48 % (3248786)Instruction limit reached!
% 3.66/1.48 % (3248786)------------------------------
% 3.66/1.48 % (3248786)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.48 % (3248786)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.48 % (3248786)CaDiCaL version: 2.1.3
% 3.66/1.48 % (3248786)Termination reason: Instruction limit
% 3.66/1.48 % (3248786)Termination phase: Saturation
% 3.66/1.48 % (3248786)Time elapsed: 0.059 s
% 3.66/1.48 % (3248786)Peak memory usage: 87 MB
% 3.66/1.48 % (3248786)Instructions burned: 115 (million)
% 3.66/1.48 % (3248787)Refutation not found, incomplete strategy
% 3.66/1.48 % (3248787)------------------------------
% 3.66/1.48 % (3248787)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.48 % (3248787)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.48 % (3248787)CaDiCaL version: 2.1.3
% 3.66/1.48 % (3248787)Termination reason: Refutation not found, incomplete strategy
% 3.66/1.48 % (3248787)Time elapsed: 0.060 s
% 3.66/1.48 % (3248787)Peak memory usage: 89 MB
% 3.66/1.48 % (3248787)Instructions burned: 98 (million)
% 3.66/1.48 % (3248788)Instruction limit reached!
% 3.66/1.48 % (3248788)------------------------------
% 3.66/1.48 % (3248788)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.48 % (3248788)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.48 % (3248788)CaDiCaL version: 2.1.3
% 3.66/1.48 % (3248788)Termination reason: Instruction limit
% 3.66/1.48 % (3248788)Termination phase: Saturation
% 3.66/1.48 % (3248788)Time elapsed: 0.069 s
% 3.66/1.48 % (3248788)Peak memory usage: 89 MB
% 3.66/1.48 % (3248788)Instructions burned: 117 (million)
% 3.66/1.48 % (3248793)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=2685395135:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.66/1.48 % (3248793)Instruction limit reached!
% 3.66/1.48 % (3248793)------------------------------
% 3.66/1.48 % (3248793)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.48 % (3248793)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.48 % (3248793)CaDiCaL version: 2.1.3
% 3.66/1.48 % (3248793)Termination reason: Instruction limit
% 3.66/1.48 % (3248793)Termination phase: Saturation
% 3.66/1.48 % (3248793)Time elapsed: 0.039 s
% 3.66/1.48 % (3248793)Peak memory usage: 89 MB
% 3.66/1.48 % (3248793)Instructions burned: 147 (million)
% 3.66/1.48 % (3248797)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=3280720462: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)
% 3.66/1.48 % (3248798)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=1021211681:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.66/1.48 % (3248797)Refutation not found, incomplete strategy
% 3.66/1.48 % (3248797)------------------------------
% 3.66/1.48 % (3248797)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.48 % (3248797)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.48 % (3248797)CaDiCaL version: 2.1.3
% 3.66/1.48 % (3248797)Termination reason: Refutation not found, incomplete strategy
% 3.66/1.48 % (3248797)Time elapsed: 0.002 s
% 3.66/1.48 % (3248797)Peak memory usage: 87 MB
% 3.66/1.48 % (3248797)Instructions burned: 3 (million)
% 3.66/1.48 % (3248800)lrs+10_64_to=lpo:sil=8000:random_seed=3818294635:i=126:bd=preordered_2996 on theBenchmark for (2996ds/126Mi)
% 3.66/1.48 % (3248800)First to succeed.
% 3.66/1.48 % (3248800)Solution written to "/export/starexec/sandbox2/tmp/vampire-proof-3248777"
% 3.66/1.48 % (3248787)------------------------------
% 3.66/1.48 % (3248787)------------------------------
% 3.66/1.48 % (3248798)Instruction limit reached!
% 3.66/1.48 % (3248798)------------------------------
% 3.66/1.48 % (3248798)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.66/1.48 % (3248798)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.66/1.48 % (3248798)CaDiCaL version: 2.1.3
% 3.66/1.48 % (3248798)Termination reason: Instruction limit
% 3.66/1.48 % (3248798)Termination phase: Saturation
% 3.66/1.48 % (3248798)Time elapsed: 0.111 s
% 3.66/1.48 % (3248798)Peak memory usage: 88 MB
% 3.66/1.48 % (3248798)Instructions burned: 221 (million)
% 3.66/1.48 % SZS status Satisfiable for theBenchmark
% 3.66/1.48 % SZS output start Saturation.
% See solution above
% 4.90/1.58 % SZS output start Definitions and Model Updates.
% 4.90/1.58 % SZS output end Definitions and Model Updates.
% 4.90/1.58 % (3248800)------------------------------
% 4.90/1.58 % (3248800)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 4.90/1.58 % (3248800)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 4.90/1.58 % (3248800)CaDiCaL version: 2.1.3
% 4.90/1.58 % (3248800)Termination reason: Satisfiable
% 4.90/1.58 % (3248800)Time elapsed: 0.037 s
% 4.90/1.58 % (3248800)Peak memory usage: 88 MB
% 4.90/1.58 % (3248800)Instructions burned: 113 (million)
% 4.90/1.58 % (3248800)------------------------------
% 4.90/1.58 % (3248800)------------------------------
% 4.90/1.58 % (3248777)Success in time 0.63 s
% 4.90/1.58 % Vampire exiting
%------------------------------------------------------------------------------