%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP123-2.005 : TPTP v9.3.1. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.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 45.15s 7.27s
% Output : Saturation 45.80s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u74,axiom,
product(e_5,e_4,e_3) ).
cnf(u77,axiom,
~ product(e_5,e_4,e_2) ).
cnf(u81,axiom,
~ product(e_5,e_4,e_1) ).
cnf(u98,axiom,
~ product(e_4,e_5,e_4) ).
cnf(u103,axiom,
product(e_4,e_5,e_3) ).
cnf(u106,axiom,
~ product(e_4,e_5,e_2) ).
cnf(u110,axiom,
~ product(e_4,e_5,e_1) ).
cnf(u115,axiom,
~ product(e_3,e_5,e_4) ).
cnf(u119,axiom,
~ product(e_3,e_5,e_3) ).
cnf(u123,axiom,
~ product(e_3,e_5,e_2) ).
cnf(u128,axiom,
product(e_3,e_5,e_1) ).
cnf(u133,axiom,
product(e_2,e_5,e_4) ).
cnf(u136,axiom,
~ product(e_2,e_5,e_3) ).
cnf(u140,axiom,
~ product(e_2,e_5,e_2) ).
cnf(u144,axiom,
~ product(e_2,e_5,e_1) ).
cnf(u149,axiom,
~ product(e_1,e_5,e_4) ).
cnf(u153,axiom,
~ product(e_1,e_5,e_3) ).
cnf(u158,axiom,
product(e_1,e_5,e_2) ).
cnf(u161,axiom,
~ product(e_1,e_5,e_1) ).
cnf(u220,negated_conjecture,
~ product(e_2,e_4,e_4) ).
cnf(u224,negated_conjecture,
~ product(e_2,e_4,e_3) ).
cnf(u228,negated_conjecture,
~ product(e_2,e_4,e_2) ).
cnf(u233,negated_conjecture,
product(e_2,e_4,e_1) ).
cnf(u261,negated_conjecture,
~ product(e_3,e_4,e_4) ).
cnf(u265,negated_conjecture,
~ product(e_3,e_4,e_3) ).
cnf(u270,negated_conjecture,
product(e_3,e_4,e_2) ).
cnf(u273,negated_conjecture,
~ product(e_3,e_4,e_1) ).
cnf(u296,negated_conjecture,
~ product(e_1,e_4,e_4) ).
cnf(u300,negated_conjecture,
~ product(e_1,e_4,e_3) ).
cnf(u304,negated_conjecture,
~ product(e_1,e_4,e_2) ).
cnf(u308,negated_conjecture,
~ product(e_1,e_4,e_1) ).
cnf(u460,negated_conjecture,
~ product(e_4,e_3,e_4) ).
cnf(u464,negated_conjecture,
~ product(e_4,e_3,e_3) ).
cnf(u468,negated_conjecture,
~ product(e_4,e_3,e_1) ).
cnf(u472,negated_conjecture,
~ product(e_5,e_3,e_3) ).
cnf(u476,negated_conjecture,
~ product(e_5,e_3,e_2) ).
cnf(u481,negated_conjecture,
product(e_5,e_3,e_1) ).
cnf(u485,negated_conjecture,
~ product(e_4,e_2,e_4) ).
cnf(u489,negated_conjecture,
~ product(e_4,e_2,e_3) ).
cnf(u494,negated_conjecture,
product(e_4,e_2,e_1) ).
cnf(u497,negated_conjecture,
~ product(e_5,e_2,e_3) ).
cnf(u501,negated_conjecture,
~ product(e_5,e_2,e_2) ).
cnf(u505,negated_conjecture,
~ product(e_5,e_2,e_1) ).
cnf(u510,negated_conjecture,
~ product(e_4,e_1,e_4) ).
cnf(u514,negated_conjecture,
~ product(e_4,e_1,e_3) ).
cnf(u518,negated_conjecture,
~ product(e_4,e_1,e_1) ).
cnf(u522,negated_conjecture,
~ product(e_5,e_1,e_3) ).
cnf(u527,negated_conjecture,
product(e_5,e_1,e_2) ).
cnf(u530,negated_conjecture,
~ product(e_5,e_1,e_1) ).
cnf(u652,negated_conjecture,
product(e_4,e_3,e_2) ).
cnf(u656,negated_conjecture,
~ product(e_4,e_2,e_2) ).
cnf(u661,negated_conjecture,
~ product(e_4,e_1,e_2) ).
cnf(u698,negated_conjecture,
~ product(e_2,e_2,e_4) ).
cnf(u702,negated_conjecture,
~ product(e_2,e_2,e_1) ).
cnf(u774,negated_conjecture,
~ product(e_2,e_1,e_4) ).
cnf(u779,negated_conjecture,
product(e_2,e_1,e_3) ).
cnf(u782,negated_conjecture,
~ product(e_2,e_1,e_1) ).
cnf(u807,negated_conjecture,
~ product(e_1,e_1,e_4) ).
cnf(u811,negated_conjecture,
~ product(e_1,e_1,e_3) ).
cnf(u853,negated_conjecture,
~ product(e_3,e_2,e_4) ).
cnf(u857,negated_conjecture,
~ product(e_3,e_2,e_2) ).
cnf(u861,negated_conjecture,
~ product(e_3,e_2,e_1) ).
cnf(u945,axiom,
~ product(e_5,e_3,e_4) ).
cnf(u952,negated_conjecture,
~ product(e_5,e_1,e_4) ).
cnf(u1026,negated_conjecture,
~ product(e_2,e_3,e_2) ).
cnf(u1030,negated_conjecture,
~ product(e_2,e_3,e_1) ).
cnf(u1036,negated_conjecture,
~ product(e_2,e_3,e_3) ).
cnf(u1062,negated_conjecture,
product(e_1,e_3,e_4) ).
cnf(u1065,negated_conjecture,
~ product(e_1,e_3,e_3) ).
cnf(u1069,negated_conjecture,
~ product(e_1,e_3,e_1) ).
cnf(u1075,negated_conjecture,
~ product(e_1,e_3,e_2) ).
cnf(u1136,negated_conjecture,
( ~ product(X1,X0,e_5)
| equalish(X0,e_3)
| ~ product(e_4,X0,X1) ) ).
cnf(u1188,negated_conjecture,
( ~ product(X1,X0,e_5)
| equalish(X1,e_2)
| ~ product(e_4,X0,X1) ) ).
cnf(u1236,negated_conjecture,
~ product(e_2,e_1,e_2) ).
cnf(u1317,negated_conjecture,
~ product(e_3,e_1,e_2) ).
cnf(u1321,negated_conjecture,
~ product(e_3,e_1,e_1) ).
cnf(u1333,negated_conjecture,
product(e_3,e_1,e_4) ).
cnf(u1340,negated_conjecture,
( ~ product(e_4,e_1,X0)
| equalish(X0,e_5) ) ).
cnf(u1346,negated_conjecture,
product(e_5,e_2,e_4) ).
cnf(u1834,negated_conjecture,
~ product(e_1,e_2,e_4) ).
cnf(u1977,negated_conjecture,
product(e_1,e_2,e_3) ).
cnf(u1980,negated_conjecture,
~ product(e_1,e_2,e_2) ).
cnf(u2041,negated_conjecture,
~ product(e_1,e_2,e_1) ).
cnf(u2468,negated_conjecture,
~ product(e_3,e_3,e_4) ).
cnf(u2472,negated_conjecture,
~ product(e_3,e_3,e_2) ).
cnf(u3063,negated_conjecture,
~ product(e_3,e_2,e_3) ).
cnf(u3067,negated_conjecture,
( ~ product(X1,X0,e_5)
| equalish(X0,e_2)
| ~ product(e_1,X0,X1) ) ).
cnf(u3154,negated_conjecture,
~ product(e_2,e_3,e_4) ).
cnf(u3244,negated_conjecture,
( ~ product(X1,X0,e_5)
| equalish(X1,e_3)
| ~ product(e_1,X0,X1) ) ).
cnf(u5116,negated_conjecture,
( ~ product(e_3,X1,X0)
| ~ product(X0,X1,e_4)
| equalish(X0,e_5) ) ).
cnf(u4135,negated_conjecture,
( ~ product(e_5,e_1,X0)
| equalish(X0,e_2) ) ).
cnf(u4486,negated_conjecture,
( ~ product(e_1,e_5,X0)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_1) ) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2) ).
cnf(u5271,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(u5530,axiom,
( ~ 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)
| 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(e_3_is_not_e_5,axiom,
~ equalish(e_3,e_5) ).
cnf(u4877,negated_conjecture,
( ~ product(X1,X0,e_3)
| ~ product(e_5,X0,X1)
| equalish(X1,e_2) ) ).
cnf(u5280,negated_conjecture,
( ~ product(e_4,X1,X0)
| equalish(X0,e_5)
| ~ product(X0,X1,e_2) ) ).
cnf(u5684,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(u5547,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_1) ) ).
cnf(e_5_is_not_e_2,axiom,
~ equalish(e_5,e_2) ).
cnf(u3127,negated_conjecture,
~ product(e_1,e_5,e_5) ).
cnf(u4503,negated_conjecture,
( ~ product(e_2,e_5,X0)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_5) ) ).
cnf(u4150,negated_conjecture,
( ~ product(e_4,e_1,X0)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_4) ) ).
cnf(u61,axiom,
( ~ product(X0,X1,X1)
| equalish(X0,X1) ) ).
cnf(u4775,negated_conjecture,
( ~ product(e_4,X0,X1)
| ~ product(X1,X0,e_1)
| equalish(X1,e_3) ) ).
cnf(u3501,negated_conjecture,
( ~ product(X0,e_1,e_3)
| equalish(X0,e_2) ) ).
cnf(u4501,axiom,
( ~ product(X0,e_5,e_2)
| equalish(X0,e_1) ) ).
cnf(u189,negated_conjecture,
( ~ group_element(X0)
| ~ product(e_5,X2,X3)
| ~ product(X3,X2,X1)
| equalish(X2,X0)
| ~ product(e_4,X0,X1)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u4783,negated_conjecture,
~ product(e_4,e_4,e_1) ).
cnf(u4919,negated_conjecture,
( ~ product(e_5,X0,e_4)
| equalish(X0,e_1)
| ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_4) ) ).
cnf(u4784,negated_conjecture,
( ~ product(e_5,X0,e_1)
| ~ group_element(X0)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4) ) ).
cnf(u4786,negated_conjecture,
( ~ product(e_3,X0,X1)
| ~ product(X1,X0,e_2)
| equalish(X1,e_1) ) ).
cnf(u333,negated_conjecture,
( ~ product(X2,X1,e_5)
| ~ product(X0,X1,X2)
| equalish(X1,e_5)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| ~ group_element(X0) ) ).
cnf(u5152,negated_conjecture,
( ~ group_element(X2)
| equalish(X1,X2)
| ~ product(X0,X1,e_4)
| product(e_3,X2,e_2)
| product(e_3,X2,e_3)
| product(e_3,X2,e_4)
| ~ product(e_3,X1,X0)
| product(e_5,X2,e_1)
| equalish(X2,e_5) ) ).
cnf(u1117,axiom,
( ~ group_element(X1)
| equalish(X0,e_5)
| product(e_4,X1,e_1)
| product(e_4,X1,e_2)
| product(e_4,X1,e_3)
| product(e_4,X1,e_4)
| ~ product(e_4,X1,X0) ) ).
cnf(u4696,negated_conjecture,
~ product(e_2,e_2,e_3) ).
cnf(u4546,negated_conjecture,
( ~ product(e_2,e_3,X0)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_2) ) ).
cnf(u3406,axiom,
( ~ product(e_1,e_1,X0)
| ~ greater(X0,e_2) ) ).
cnf(u5210,negated_conjecture,
( ~ product(e_4,X1,X0)
| equalish(X1,e_1)
| ~ product(X0,X1,e_2) ) ).
cnf(u3410,axiom,
~ greater(e_1,e_2) ).
cnf(u194,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(u4715,negated_conjecture,
( ~ product(e_1,e_4,X0)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_4) ) ).
cnf(u5599,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(u4744,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_5)
| product(e_1,X0,e_1)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3) ) ).
cnf(e_4_greater_e_1,axiom,
greater(e_4,e_1) ).
cnf(u4627,negated_conjecture,
( ~ product(e_3,e_4,X0)
| ~ product(e_5,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_3) ) ).
cnf(u4614,negated_conjecture,
( ~ product(e_3,e_2,X0)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_2) ) ).
cnf(u5486,axiom,
( ~ 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)
| 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(e_2_greater_e_1,axiom,
greater(e_2,e_1) ).
cnf(u5636,negated_conjecture,
( ~ product(X0,e_4,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(u5653,negated_conjecture,
( ~ product(X0,e_1,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(element_1,axiom,
group_element(e_1) ).
cnf(u5663,negated_conjecture,
( ~ product(e_2,X0,e_3)
| ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| equalish(X0,e_4) ) ).
cnf(u4502,negated_conjecture,
( ~ product(e_2,e_5,X0)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_2) ) ).
cnf(u4901,negated_conjecture,
~ product(e_5,e_5,e_1) ).
cnf(u1534,negated_conjecture,
( ~ group_element(X3)
| equalish(X1,X3)
| ~ product(X0,X1,X2)
| product(X0,X3,e_1)
| product(X0,X3,e_2)
| product(X0,X3,e_3)
| product(X0,X3,e_4)
| ~ group_element(X0)
| product(e_5,X3,e_1)
| product(e_5,X3,e_2)
| product(e_5,X3,e_3)
| product(e_5,X3,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)
| ~ group_element(X2) ) ).
cnf(u401,negated_conjecture,
( ~ product(X0,X0,X1)
| ~ product(X0,X2,X3)
| ~ product(X3,X2,X1)
| equalish(X3,X0) ) ).
cnf(u4855,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)
| product(e_3,X0,e_4) ) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3) ).
cnf(u4625,axiom,
( ~ product(e_5,X0,e_3)
| equalish(X0,e_4) ) ).
cnf(u4500,axiom,
( ~ product(e_1,X0,e_2)
| equalish(X0,e_5) ) ).
cnf(product_idempotence,axiom,
product(X0,X0,X0) ).
cnf(u5374,negated_conjecture,
( ~ group_element(X1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| ~ group_element(X0)
| product(X0,e_5,e_1)
| product(e_1,X1,e_1)
| product(e_1,X1,e_2)
| product(e_1,X1,e_3)
| product(e_1,X1,e_4)
| ~ product(X0,X1,e_1) ) ).
cnf(u4519,negated_conjecture,
( ~ group_element(X0)
| ~ product(X2,X1,e_4)
| equalish(X2,e_5)
| 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,X1,X2) ) ).
cnf(u4753,negated_conjecture,
( ~ product(e_5,X0,e_2)
| equalish(X0,e_5)
| ~ group_element(X0)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4) ) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3) ).
cnf(u4142,negated_conjecture,
( ~ group_element(X0)
| ~ product(X2,X1,e_2)
| equalish(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)
| ~ product(X0,X1,X2) ) ).
cnf(u4762,negated_conjecture,
( ~ product(e_4,X0,e_1)
| ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| equalish(X0,e_3) ) ).
cnf(u4147,negated_conjecture,
( ~ product(e_3,e_1,X0)
| equalish(X0,e_4) ) ).
cnf(u62,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(u4892,negated_conjecture,
( ~ product(e_5,X0,e_3)
| ~ group_element(X0)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4) ) ).
cnf(u5074,negated_conjecture,
( ~ product(e_5,X0,e_1)
| ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4) ) ).
cnf(u4911,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X1,X0,e_4)
| equalish(X0,e_1) ) ).
cnf(u5162,negated_conjecture,
( ~ product(e_3,X0,X1)
| ~ product(X1,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(u5556,negated_conjecture,
( ~ group_element(X0)
| product(e_5,X0,e_3)
| product(e_5,X0,e_4)
| equalish(X0,e_1)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3) ) ).
cnf(u5020,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)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_4) ) ).
cnf(u934,axiom,
( ~ group_element(X1)
| equalish(X0,X1)
| product(X2,X1,e_1)
| product(X2,X1,e_2)
| product(X2,X1,e_3)
| product(X2,X1,e_4)
| ~ group_element(X2)
| ~ group_element(X0)
| product(X2,X0,e_1)
| product(X2,X0,e_2)
| product(X2,X0,e_3)
| product(X2,X0,e_4) ) ).
cnf(u5183,negated_conjecture,
( ~ product(X1,X0,e_5)
| ~ product(e_2,X0,X1)
| equalish(X1,e_1) ) ).
cnf(u1206,negated_conjecture,
( ~ group_element(X2)
| equalish(X1,e_5)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| ~ group_element(X0)
| ~ 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(u50,axiom,
equalish(X0,X0) ).
cnf(u4528,negated_conjecture,
( ~ product(X0,X1,e_1)
| equalish(X0,e_4)
| ~ product(e_5,X1,X0) ) ).
cnf(u5445,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)
| equalish(X0,e_3)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4) ) ).
cnf(u3407,axiom,
( ~ product(e_2,e_1,X0)
| ~ greater(X0,e_3) ) ).
cnf(u4437,negated_conjecture,
( ~ product(e_4,e_2,X2)
| ~ product(X1,X0,X2)
| equalish(X0,e_2)
| ~ product(e_5,X0,X1) ) ).
cnf(u1118,axiom,
( ~ group_element(X1)
| equalish(X0,e_5)
| product(e_5,X1,e_1)
| product(e_5,X1,e_2)
| product(e_5,X1,e_3)
| product(e_5,X1,e_4)
| ~ product(e_5,X1,X0) ) ).
cnf(u5341,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(u5568,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(u5600,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(u4944,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X1,X0,e_4)
| equalish(X1,e_3) ) ).
cnf(u5661,negated_conjecture,
( ~ product(e_2,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_4) ) ).
cnf(u4969,negated_conjecture,
( ~ product(X1,X0,e_5)
| ~ product(e_3,X0,X1)
| equalish(X1,e_4) ) ).
cnf(u4290,axiom,
( ~ product(e_4,e_5,X0)
| equalish(X0,e_3) ) ).
cnf(u201,negated_conjecture,
( ~ product(e_4,X0,e_5)
| equalish(X0,e_4)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u1116,axiom,
( ~ product(e_3,X1,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)
| equalish(X0,e_5) ) ).
cnf(u5443,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)
| equalish(X0,e_1)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4) ) ).
cnf(u5228,negated_conjecture,
( ~ group_element(X0)
| product(X1,e_5,e_2)
| product(X1,e_5,e_3)
| product(X1,e_5,e_4)
| ~ group_element(X1)
| equalish(X0,e_5)
| product(e_1,X0,e_1)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4)
| ~ product(X1,X0,e_1) ) ).
cnf(u4459,negated_conjecture,
( ~ product(X0,e_2,e_1)
| equalish(X0,e_4) ) ).
cnf(u4941,negated_conjecture,
( ~ product(X1,X0,e_5)
| ~ product(e_3,X0,X1)
| equalish(X0,e_1) ) ).
cnf(u5623,negated_conjecture,
( ~ product(X0,e_3,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(u4952,negated_conjecture,
( ~ product(e_5,X0,e_4)
| ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4) ) ).
cnf(u4457,negated_conjecture,
( ~ product(e_4,e_2,X0)
| equalish(X0,e_1) ) ).
cnf(u4613,negated_conjecture,
( ~ product(e_3,e_2,X0)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_3) ) ).
cnf(u4835,negated_conjecture,
~ product(e_5,e_5,e_4) ).
cnf(u4585,negated_conjecture,
( ~ product(e_1,e_3,X0)
| ~ product(e_5,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_3) ) ).
cnf(u4582,negated_conjecture,
( ~ product(e_5,X0,e_1)
| equalish(X0,e_3) ) ).
cnf(u5746,negated_conjecture,
( ~ product(e_2,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(u4593,negated_conjecture,
( ~ product(e_3,X0,e_2)
| equalish(X0,e_4) ) ).
cnf(u4860,negated_conjecture,
( ~ group_element(X0)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_5,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) ) ).
cnf(u5652,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(u4714,negated_conjecture,
( ~ product(e_1,e_4,X0)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_1) ) ).
cnf(u5669,negated_conjecture,
( ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_4)
| equalish(X0,e_4)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4) ) ).
cnf(e_3_greater_e_1,axiom,
greater(e_3,e_1) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1) ).
cnf(u4624,axiom,
( ~ product(e_5,e_4,X0)
| equalish(X0,e_3) ) ).
cnf(element_4,axiom,
group_element(e_4) ).
cnf(u4626,axiom,
( ~ product(X0,e_4,e_3)
| equalish(X0,e_5) ) ).
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(element_2,axiom,
group_element(e_2) ).
cnf(u431,negated_conjecture,
( ~ product(X2,X1,e_5)
| ~ product(X0,X1,X2)
| equalish(X2,e_5)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| ~ group_element(X0) ) ).
cnf(u5512,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| product(X0,e_5,e_1)
| product(X0,e_4,e_2)
| product(X0,e_4,e_3)
| product(X0,e_4,e_4) ) ).
cnf(u402,negated_conjecture,
( ~ product(e_5,X0,X1)
| ~ 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)
| ~ group_element(X2) ) ).
cnf(product_left_cancellation,axiom,
( ~ product(X3,X1,X2)
| ~ product(X0,X1,X2)
| equalish(X0,X3) ) ).
cnf(u5174,negated_conjecture,
( ~ product(X1,X0,e_5)
| ~ product(e_2,X0,X1)
| equalish(X0,e_4) ) ).
cnf(u3495,negated_conjecture,
~ greater(e_3,e_3) ).
cnf(u59,axiom,
( ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| equalish(X0,e_5)
| ~ product(e_5,X0,X1)
| equalish(X1,e_4) ) ).
cnf(u429,negated_conjecture,
( ~ group_element(X0)
| ~ product(X2,X1,e_4)
| equalish(X2,e_5)
| ~ group_element(X3)
| product(X0,X3,e_1)
| product(X0,X3,e_2)
| product(X0,X3,e_3)
| product(X0,X3,e_4)
| ~ product(X0,X1,X2)
| product(e_5,X3,e_1)
| product(e_5,X3,e_2)
| product(e_5,X3,e_3)
| equalish(X3,e_5) ) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2) ).
cnf(u5302,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(u5373,negated_conjecture,
( ~ group_element(X1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| ~ group_element(X0)
| product(X0,e_5,e_1)
| product(e_2,X1,e_1)
| product(e_2,X1,e_2)
| product(e_2,X1,e_3)
| product(e_2,X1,e_4)
| ~ product(X0,X1,e_2) ) ).
cnf(u57,axiom,
( product(e_5,X0,e_4)
| ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u1468,negated_conjecture,
( ~ group_element(X3)
| equalish(X2,e_5)
| ~ product(X0,X1,X2)
| product(X0,X3,e_1)
| product(X0,X3,e_2)
| product(X0,X3,e_3)
| product(X0,X3,e_4)
| ~ group_element(X0)
| product(e_5,X3,e_1)
| product(e_5,X3,e_2)
| product(e_5,X3,e_3)
| product(e_5,X3,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)
| ~ group_element(X2) ) ).
cnf(u3502,negated_conjecture,
( ~ product(e_3,e_1,X0)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_3) ) ).
cnf(u5176,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_2,X0,X1) ) ).
cnf(u4143,negated_conjecture,
( ~ group_element(X0)
| ~ product(X2,X1,e_2)
| equalish(X2,e_5)
| 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,X1,X2) ) ).
cnf(u5300,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(u63,axiom,
( ~ group_element(X1)
| equalish(X0,e_5)
| ~ product(X0,X1,e_4)
| product(e_5,X1,e_1)
| product(e_5,X1,e_2)
| product(e_5,X1,e_3)
| equalish(X1,e_5) ) ).
cnf(u5304,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(u4526,negated_conjecture,
( ~ product(X0,X1,e_1)
| equalish(X1,e_2)
| ~ product(e_5,X1,X0) ) ).
cnf(u191,negated_conjecture,
( ~ product(X2,X1,X0)
| ~ product(X0,X1,X2)
| equalish(X1,X0) ) ).
cnf(u5371,negated_conjecture,
( ~ group_element(X1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| ~ group_element(X0)
| product(X0,e_5,e_1)
| product(e_4,X1,e_1)
| product(e_4,X1,e_2)
| product(e_4,X1,e_3)
| product(e_4,X1,e_4)
| ~ product(X0,X1,e_4) ) ).
cnf(u331,negated_conjecture,
( ~ group_element(X0)
| ~ product(X2,X1,e_4)
| equalish(X1,X3)
| ~ group_element(X3)
| product(X0,X3,e_1)
| product(X0,X3,e_2)
| product(X0,X3,e_3)
| product(X0,X3,e_4)
| ~ product(X0,X1,X2)
| product(e_5,X3,e_1)
| product(e_5,X3,e_2)
| product(e_5,X3,e_3)
| equalish(X3,e_5) ) ).
cnf(u5076,axiom,
( ~ group_element(X1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| equalish(X0,e_5)
| ~ group_element(X0)
| equalish(X1,X0)
| product(e_5,X0,e_1)
| product(e_5,X1,e_1)
| product(e_5,X1,e_2)
| product(e_5,X1,e_3)
| equalish(X1,e_5) ) ).
cnf(u1115,axiom,
( ~ product(e_2,X1,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)
| equalish(X0,e_5) ) ).
cnf(u3026,negated_conjecture,
~ product(e_5,e_1,e_5) ).
cnf(u5227,negated_conjecture,
( ~ group_element(X0)
| product(X1,e_5,e_1)
| product(X1,e_5,e_3)
| product(X1,e_5,e_4)
| ~ group_element(X1)
| equalish(X0,e_5)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| ~ product(X1,X0,e_2) ) ).
cnf(u5705,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(u5683,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(u5597,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(u4804,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(u4957,negated_conjecture,
( ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| equalish(X0,e_5) ) ).
cnf(u5058,negated_conjecture,
( ~ group_element(X0)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4) ) ).
cnf(u5487,axiom,
( ~ 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)
| 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(u5066,negated_conjecture,
( ~ product(e_3,X0,X1)
| ~ product(X1,X0,e_1)
| equalish(X1,e_2) ) ).
cnf(u4838,negated_conjecture,
( ~ product(e_4,X0,X1)
| ~ product(X1,X0,e_3)
| equalish(X0,e_2) ) ).
cnf(u4713,negated_conjecture,
( ~ product(X0,e_4,e_1)
| equalish(X0,e_2) ) ).
cnf(u4596,negated_conjecture,
( ~ product(e_2,e_4,X0)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_4) ) ).
cnf(e_5_greater_e_3,axiom,
greater(e_5,e_3) ).
cnf(u5237,negated_conjecture,
( ~ product(X0,e_3,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| ~ group_element(X0)
| product(X0,e_5,e_1) ) ).
cnf(u5488,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_3,e_3)
| product(X0,e_3,e_4)
| 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(u4487,negated_conjecture,
( ~ product(e_1,e_5,X0)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_5) ) ).
cnf(u4604,negated_conjecture,
( ~ product(e_4,e_3,X0)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_3) ) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4) ).
cnf(u5548,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_1) ) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2) ).
cnf(u4485,axiom,
( ~ product(X0,e_5,e_1)
| equalish(X0,e_3) ) ).
cnf(u4495,negated_conjecture,
( ~ product(e_4,e_5,X0)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_5) ) ).
cnf(u4594,negated_conjecture,
( ~ product(X0,e_4,e_2)
| equalish(X0,e_3) ) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2) ).
cnf(u536,negated_conjecture,
( ~ group_element(X0)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u415,negated_conjecture,
( ~ product(e_5,X0,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)
| ~ group_element(X1) ) ).
cnf(u4642,negated_conjecture,
( ~ group_element(X0)
| ~ product(e_4,X1,X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| equalish(X0,e_2) ) ).
cnf(u4138,negated_conjecture,
( ~ product(e_2,e_1,X0)
| ~ product(e_5,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_2) ) ).
cnf(e_2_is_not_e_5,axiom,
~ equalish(e_2,e_5) ).
cnf(u4493,axiom,
( ~ product(X0,e_5,e_4)
| equalish(X0,e_2) ) ).
cnf(u1416,negated_conjecture,
~ product(e_4,e_2,e_5) ).
cnf(u1050,negated_conjecture,
~ product(e_1,e_3,e_5) ).
cnf(product_right_cancellation,axiom,
( ~ product(X0,X3,X2)
| ~ product(X0,X1,X2)
| equalish(X1,X3) ) ).
cnf(u4884,negated_conjecture,
( ~ product(e_4,X0,X1)
| ~ product(X1,X0,e_3)
| equalish(X1,e_1) ) ).
cnf(u413,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(element_3,axiom,
group_element(e_3) ).
cnf(u4483,axiom,
( ~ product(e_3,e_5,X0)
| equalish(X0,e_1) ) ).
cnf(u5444,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)
| equalish(X0,e_2)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4) ) ).
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(u3503,negated_conjecture,
( ~ product(e_3,e_1,X0)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_1) ) ).
cnf(u5294,negated_conjecture,
( ~ product(e_2,X1,X0)
| equalish(X0,e_5)
| ~ product(X0,X1,e_1) ) ).
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(u5054,negated_conjecture,
( ~ product(e_1,X0,e_2)
| ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4) ) ).
cnf(u4763,negated_conjecture,
( ~ product(e_4,X0,e_3)
| ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| equalish(X0,e_3) ) ).
cnf(u58,axiom,
( ~ product(e_5,X1,e_4)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| equalish(X0,e_5)
| ~ group_element(X0)
| equalish(X1,X0) ) ).
cnf(u4136,negated_conjecture,
( ~ product(e_5,X0,e_2)
| equalish(X0,e_1) ) ).
cnf(u430,negated_conjecture,
( ~ product(X2,X1,e_5)
| ~ product(X0,X1,X2)
| equalish(X2,e_5)
| ~ group_element(X3)
| product(X0,X3,e_1)
| product(X0,X3,e_2)
| product(X0,X3,e_3)
| product(X0,X3,e_4)
| ~ group_element(X0)
| product(e_5,X3,e_1)
| product(e_5,X3,e_2)
| product(e_5,X3,e_3)
| product(e_5,X3,e_4) ) ).
cnf(u5196,negated_conjecture,
( ~ product(e_2,X1,X0)
| equalish(X1,e_3)
| ~ product(X0,X1,e_1) ) ).
cnf(u5745,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(u4461,negated_conjecture,
( ~ product(e_1,e_2,X0)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_2) ) ).
cnf(u184,negated_conjecture,
( ~ product(e_5,X0,X1)
| ~ 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)
| ~ group_element(X2) ) ).
cnf(u1613,negated_conjecture,
~ product(e_5,e_2,e_5) ).
cnf(u5729,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(u5077,negated_conjecture,
( ~ group_element(X0)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| equalish(X0,e_5)
| product(e_5,X0,e_1)
| equalish(e_2,X0) ) ).
cnf(u4711,negated_conjecture,
( ~ product(e_2,e_4,X0)
| equalish(X0,e_1) ) ).
cnf(u5611,negated_conjecture,
( ~ product(X0,e_2,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(u5598,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(u5752,negated_conjecture,
( ~ group_element(X0)
| product(e_5,X0,e_2)
| 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) ) ).
cnf(u4994,negated_conjecture,
( ~ product(e_5,X0,e_2)
| equalish(X0,e_3)
| ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_2)
| product(e_1,X0,e_3) ) ).
cnf(u5457,axiom,
( ~ 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)
| 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(u4847,negated_conjecture,
( ~ product(e_5,X0,e_3)
| equalish(X0,e_2)
| ~ group_element(X0)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4) ) ).
cnf(u5610,negated_conjecture,
( ~ product(X0,e_3,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(e_5_greater_e_4,axiom,
greater(e_5,e_4) ).
cnf(u4492,axiom,
( ~ product(e_2,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3) ).
cnf(u5013,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(u2692,negated_conjecture,
~ product(e_5,e_3,e_5) ).
cnf(u5142,negated_conjecture,
( ~ product(e_5,X0,e_2)
| ~ 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(u4632,negated_conjecture,
( ~ group_element(X0)
| ~ product(X2,X1,e_3)
| equalish(X2,e_5)
| 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,X1,X2) ) ).
cnf(u5257,negated_conjecture,
( ~ product(X0,e_1,e_4)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| ~ group_element(X0)
| product(X0,e_5,e_1) ) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3) ).
cnf(u4139,negated_conjecture,
( ~ product(e_2,e_1,X0)
| ~ product(e_5,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_1) ) ).
cnf(u4760,negated_conjecture,
( ~ product(e_4,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(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1) ).
cnf(u5372,negated_conjecture,
( ~ group_element(X1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| ~ group_element(X0)
| product(X0,e_5,e_1)
| product(e_3,X1,e_1)
| product(e_3,X1,e_2)
| product(e_3,X1,e_3)
| product(e_3,X1,e_4)
| ~ product(X0,X1,e_3) ) ).
cnf(u410,negated_conjecture,
( ~ product(X2,X1,X0)
| ~ product(X0,X1,X2)
| equalish(X2,X0) ) ).
cnf(u4137,negated_conjecture,
( ~ product(X0,e_1,e_2)
| equalish(X0,e_5) ) ).
cnf(u52,axiom,
( ~ group_element(X0)
| equalish(e_5,X0)
| product(X0,X0,e_1)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| product(X0,X0,e_4) ) ).
cnf(u5268,negated_conjecture,
( ~ product(X0,e_4,e_1)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| ~ group_element(X0)
| product(X0,e_5,e_2) ) ).
cnf(u4499,axiom,
( ~ product(e_1,e_5,X0)
| equalish(X0,e_2) ) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4) ).
cnf(u408,negated_conjecture,
( ~ group_element(X0)
| ~ product(e_5,X2,X3)
| ~ product(X3,X2,X1)
| equalish(X3,e_4)
| ~ product(e_4,X0,X1)
| product(e_5,X0,e_1)
| product(e_5,X0,e_2)
| product(e_5,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(product_total_function2,axiom,
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| equalish(X2,X3) ) ).
cnf(u4145,negated_conjecture,
~ greater(e_4,e_4) ).
cnf(u2698,negated_conjecture,
~ product(e_5,e_5,e_3) ).
cnf(u4494,negated_conjecture,
( ~ product(e_4,e_5,X0)
| ~ product(e_2,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_4) ) ).
cnf(u3499,negated_conjecture,
( ~ product(e_2,e_1,X0)
| equalish(X0,e_3) ) ).
cnf(e_5_is_not_e_4,axiom,
~ equalish(e_5,e_4) ).
cnf(u4151,negated_conjecture,
( ~ product(e_4,e_1,X0)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_1) ) ).
cnf(u3126,negated_conjecture,
( ~ group_element(X1)
| ~ product(e_1,X0,X1)
| ~ group_element(X0)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(u920,negated_conjecture,
( ~ product(e_5,X0,e_2)
| ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(u5681,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(u4149,negated_conjecture,
( ~ product(X0,e_1,e_4)
| equalish(X0,e_3) ) ).
cnf(u5053,negated_conjecture,
( ~ product(e_1,X0,e_4)
| ~ group_element(X0)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4) ) ).
cnf(u5447,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)
| equalish(X0,e_5)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4) ) ).
cnf(u5569,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(u3247,negated_conjecture,
( ~ group_element(X0)
| ~ product(e_1,X1,X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| equalish(X0,e_3) ) ).
cnf(u5550,negated_conjecture,
( ~ product(e_3,X0,e_1)
| ~ group_element(X0)
| product(e_1,X0,e_2)
| product(e_1,X0,e_4)
| equalish(X0,e_1) ) ).
cnf(u4543,negated_conjecture,
( ~ product(e_4,e_3,X0)
| equalish(X0,e_2) ) ).
cnf(u4438,negated_conjecture,
( ~ product(e_4,e_2,X2)
| ~ product(X1,X0,X2)
| equalish(X1,e_4)
| ~ product(e_5,X0,X1) ) ).
cnf(u1615,negated_conjecture,
~ product(e_5,e_4,e_4) ).
cnf(u3408,axiom,
( ~ product(e_3,e_1,X0)
| ~ greater(X0,e_4) ) ).
cnf(u4681,negated_conjecture,
( ~ product(X1,X0,e_1)
| ~ product(e_4,X0,X1)
| equalish(X0,e_5) ) ).
cnf(u4436,negated_conjecture,
( ~ product(X0,e_2,e_4)
| equalish(X0,e_5) ) ).
cnf(u5747,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(u4689,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X1,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u4294,negated_conjecture,
( ~ product(e_3,e_5,X0)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_5) ) ).
cnf(u5456,axiom,
( ~ 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)
| 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(u4698,negated_conjecture,
( ~ product(e_5,X0,e_3)
| equalish(X0,e_5)
| ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3) ) ).
cnf(u5134,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X1,X0,e_2)
| equalish(X1,e_4) ) ).
cnf(u4583,negated_conjecture,
( ~ product(X0,e_3,e_1)
| equalish(X0,e_5) ) ).
cnf(u4572,negated_conjecture,
( ~ group_element(X0)
| equalish(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(u4292,axiom,
( ~ product(X0,e_5,e_3)
| equalish(X0,e_4) ) ).
cnf(u4826,negated_conjecture,
~ product(e_5,e_5,e_2) ).
cnf(u4581,negated_conjecture,
( ~ product(e_5,e_3,X0)
| equalish(X0,e_1) ) ).
cnf(u4712,negated_conjecture,
( ~ product(e_2,X0,e_1)
| equalish(X0,e_4) ) ).
cnf(u4545,negated_conjecture,
( ~ product(X0,e_3,e_2)
| equalish(X0,e_4) ) ).
cnf(u4982,negated_conjecture,
~ product(e_3,e_3,e_1) ).
cnf(u4610,negated_conjecture,
( ~ product(e_1,e_2,X0)
| equalish(X0,e_3) ) ).
cnf(u5226,negated_conjecture,
( ~ group_element(X0)
| product(X1,e_5,e_1)
| product(X1,e_5,e_2)
| product(X1,e_5,e_4)
| ~ group_element(X1)
| equalish(X0,e_5)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| ~ product(X1,X0,e_3) ) ).
cnf(u5084,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(u4589,negated_conjecture,
( ~ group_element(X0)
| ~ product(X2,X1,e_1)
| equalish(X2,e_5)
| 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,X1,X2) ) ).
cnf(u5247,negated_conjecture,
( ~ product(X0,e_2,e_3)
| product(X0,e_5,e_2)
| product(X0,e_5,e_4)
| ~ group_element(X0)
| product(X0,e_5,e_1) ) ).
cnf(e_5_greater_e_2,axiom,
greater(e_5,e_2) ).
cnf(u5355,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_4,X0) ) ).
cnf(u5624,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(u4868,negated_conjecture,
( ~ product(X1,X0,e_4)
| ~ product(e_5,X0,X1)
| equalish(X1,e_1) ) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2) ).
cnf(u4592,negated_conjecture,
( ~ product(e_3,e_4,X0)
| equalish(X0,e_2) ) ).
cnf(u4993,negated_conjecture,
~ product(e_1,e_1,e_2) ).
cnf(u4894,negated_conjecture,
( ~ product(X1,X0,e_2)
| ~ product(e_5,X0,X1)
| equalish(X0,e_4) ) ).
cnf(u4731,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X1,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(no_redundancy,axiom,
( ~ next(X0,X2)
| ~ product(X0,e_1,X1)
| ~ greater(X1,X2) ) ).
cnf(u5458,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_2,e_2)
| product(X0,e_2,e_4)
| 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(u394,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(e_4_is_not_e_5,axiom,
~ equalish(e_4,e_5) ).
cnf(u4148,negated_conjecture,
( ~ product(e_3,X0,e_4)
| equalish(X0,e_1) ) ).
cnf(u5513,negated_conjecture,
( ~ group_element(X0)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| product(X0,e_5,e_1)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3) ) ).
cnf(u4902,negated_conjecture,
( ~ product(X1,X0,e_2)
| ~ product(e_5,X0,X1)
| equalish(X1,e_3) ) ).
cnf(u5015,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(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3) ).
cnf(u921,negated_conjecture,
( ~ product(e_5,X0,e_3)
| ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(u935,axiom,
( ~ group_element(X0)
| equalish(e_5,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) ) ).
cnf(u49,axiom,
( ~ group_element(X0)
| equalish(X2,e_5)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| ~ product(X0,X1,X2) ) ).
cnf(e_1_is_not_e_5,axiom,
~ equalish(e_1,e_5) ).
cnf(u5303,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(u4512,negated_conjecture,
( ~ product(e_5,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(u4518,negated_conjecture,
( ~ group_element(X0)
| ~ product(X2,X1,e_4)
| equalish(X1,e_2)
| 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,X1,X2) ) ).
cnf(u53,axiom,
( ~ product(X0,X1,X0)
| equalish(X1,X0) ) ).
cnf(u5680,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(u183,negated_conjecture,
( ~ product(X0,X0,X1)
| ~ product(X0,X2,X3)
| ~ product(X3,X2,X1)
| equalish(X2,X0) ) ).
cnf(u5682,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(u4796,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X1,X0,e_4)
| equalish(X1,e_2) ) ).
cnf(u5637,negated_conjecture,
( ~ product(X0,e_1,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(u5716,negated_conjecture,
( ~ product(X0,e_1,e_4)
| product(X0,X0,e_2)
| product(X0,X0,e_3)
| equalish(e_1,X0)
| ~ group_element(X0) ) ).
cnf(u5733,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(u5446,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)
| equalish(X0,e_4)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4) ) ).
cnf(u4293,negated_conjecture,
( ~ product(e_3,e_5,X0)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_3) ) ).
cnf(u5185,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_2,X0,X1) ) ).
cnf(u4687,negated_conjecture,
~ product(e_4,e_3,e_5) ).
cnf(u5570,negated_conjecture,
( ~ product(e_3,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(u3409,axiom,
( ~ greater(X0,e_5)
| ~ product(e_4,e_1,X0) ) ).
cnf(u68,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(X0,e_5) ) ).
cnf(u4460,negated_conjecture,
( ~ product(e_1,e_2,X0)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_1) ) ).
cnf(u5313,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(u196,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(u4291,axiom,
( ~ product(e_4,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u4816,negated_conjecture,
( ~ product(e_5,X0,e_3)
| ~ group_element(X0)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_2,X0,e_3)
| product(e_2,X0,e_4) ) ).
cnf(u1498,negated_conjecture,
( ~ group_element(X2)
| equalish(X2,e_5)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| ~ group_element(X0)
| ~ 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(u5225,negated_conjecture,
( ~ group_element(X0)
| product(X1,e_5,e_1)
| product(X1,e_5,e_2)
| product(X1,e_5,e_3)
| ~ group_element(X1)
| equalish(X0,e_5)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_4)
| ~ product(X1,X0,e_4) ) ).
cnf(u4588,negated_conjecture,
( ~ group_element(X0)
| ~ product(X2,X1,e_1)
| equalish(X1,e_3)
| 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,X1,X2) ) ).
cnf(u4308,negated_conjecture,
( ~ group_element(X1)
| ~ product(e_4,X0,X1)
| ~ group_element(X0)
| product(X1,X0,e_1)
| product(X1,X0,e_2)
| product(X1,X0,e_3)
| product(X1,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(u4971,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_3,X0,X1) ) ).
cnf(u4818,negated_conjecture,
( ~ product(X1,X0,e_4)
| ~ product(e_5,X0,X1)
| equalish(X0,e_3) ) ).
cnf(u4972,negated_conjecture,
~ product(e_3,e_5,e_5) ).
cnf(u4484,axiom,
( ~ product(e_3,X0,e_1)
| equalish(X0,e_5) ) ).
cnf(u4458,negated_conjecture,
( ~ product(e_4,X0,e_1)
| equalish(X0,e_2) ) ).
cnf(u4544,negated_conjecture,
( ~ product(e_4,X0,e_2)
| equalish(X0,e_3) ) ).
cnf(u5327,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_2,X0) ) ).
cnf(u423,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_3)
| equalish(X0,e_5) ) ).
cnf(u4974,negated_conjecture,
( ~ product(e_3,X0,X1)
| ~ product(X1,X0,e_1)
| equalish(X0,e_4) ) ).
cnf(u4745,negated_conjecture,
( ~ product(e_3,X0,X1)
| ~ product(X1,X0,e_2)
| equalish(X0,e_5) ) ).
cnf(u4856,negated_conjecture,
( ~ product(e_4,X0,e_1)
| ~ 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(u4985,negated_conjecture,
( ~ product(e_1,X0,X1)
| ~ product(X1,X0,e_2)
| equalish(X0,e_3) ) ).
cnf(u5664,negated_conjecture,
( ~ product(e_2,X0,e_4)
| ~ group_element(X0)
| product(e_4,X0,e_1)
| product(e_4,X0,e_3)
| equalish(X0,e_4) ) ).
cnf(element_5,axiom,
group_element(e_5) ).
cnf(u4595,negated_conjecture,
( ~ product(e_2,e_4,X0)
| ~ product(e_3,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_2) ) ).
cnf(u4584,negated_conjecture,
( ~ product(e_1,e_3,X0)
| ~ product(e_5,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_1) ) ).
cnf(u4854,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_3)
| product(e_5,X0,e_4) ) ).
cnf(e_4_greater_e_2,axiom,
greater(e_4,e_2) ).
cnf(u5012,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(u4612,negated_conjecture,
( ~ product(X0,e_2,e_3)
| equalish(X0,e_1) ) ).
cnf(u4603,negated_conjecture,
( ~ product(e_4,e_3,X0)
| ~ product(e_1,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X2,e_4) ) ).
cnf(u919,negated_conjecture,
( ~ product(e_5,X0,e_1)
| ~ 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(X0,e_5) ) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1) ).
cnf(u255,negated_conjecture,
~ product(e_3,e_4,e_5) ).
cnf(u395,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(u1157,negated_conjecture,
~ product(e_4,e_5,e_5) ).
cnf(e_5_greater_e_1,axiom,
greater(e_5,e_1) ).
cnf(u4601,negated_conjecture,
( ~ product(e_1,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(u4740,negated_conjecture,
( ~ product(e_5,X0,e_4)
| equalish(X0,e_5)
| ~ group_element(X0)
| product(e_1,X0,e_1)
| product(e_1,X0,e_3)
| product(e_1,X0,e_4) ) ).
cnf(e_5_is_not_e_3,axiom,
~ equalish(e_5,e_3) ).
cnf(e_5_is_not_e_1,axiom,
~ equalish(e_5,e_1) ).
cnf(u5423,negated_conjecture,
( ~ product(e_1,X1,X0)
| equalish(X1,e_4)
| ~ product(X0,X1,e_3) ) ).
cnf(u4631,negated_conjecture,
( ~ group_element(X0)
| ~ product(X2,X1,e_3)
| equalish(X1,e_4)
| 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,X1,X2) ) ).
cnf(u48,axiom,
( ~ product(X0,X0,X1)
| equalish(X1,X0) ) ).
cnf(u4511,negated_conjecture,
( ~ product(e_5,e_2,X0)
| equalish(X0,e_4) ) ).
cnf(u922,negated_conjecture,
( ~ product(e_5,X0,e_4)
| ~ group_element(X0)
| product(e_4,X0,e_1)
| product(e_4,X0,e_2)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(u3500,negated_conjecture,
( ~ product(e_2,X0,e_3)
| equalish(X0,e_1) ) ).
cnf(u5694,negated_conjecture,
( ~ product(X0,e_3,e_2)
| product(X0,X0,e_1)
| product(X0,X0,e_4)
| equalish(e_3,X0)
| ~ group_element(X0) ) ).
cnf(u54,axiom,
( ~ product(X0,X1,e_5)
| equalish(X1,X2)
| ~ group_element(X2)
| product(X0,X2,e_1)
| product(X0,X2,e_2)
| product(X0,X2,e_3)
| product(X0,X2,e_4)
| ~ group_element(X0) ) ).
cnf(u5575,negated_conjecture,
( ~ group_element(X0)
| product(e_5,X0,e_4)
| 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) ) ).
cnf(u4768,negated_conjecture,
( ~ 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)
| product(e_4,X0,e_1)
| product(e_4,X0,e_3)
| product(e_4,X0,e_4) ) ).
cnf(u5301,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(u4794,negated_conjecture,
( ~ product(e_5,X0,e_2)
| ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_2)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4) ) ).
cnf(u762,negated_conjecture,
~ product(e_2,e_1,e_5) ).
cnf(u332,negated_conjecture,
( ~ product(X2,X1,e_5)
| ~ product(X0,X1,X2)
| equalish(X1,X3)
| ~ group_element(X3)
| product(X0,X3,e_1)
| product(X0,X3,e_2)
| product(X0,X3,e_3)
| product(X0,X3,e_4)
| ~ group_element(X0)
| product(e_5,X3,e_1)
| product(e_5,X3,e_2)
| product(e_5,X3,e_3)
| product(e_5,X3,e_4) ) ).
cnf(u4924,negated_conjecture,
( ~ group_element(X0)
| equalish(X0,e_1)
| product(e_2,X0,e_1)
| product(e_2,X0,e_2)
| product(e_5,X0,e_1)
| product(e_5,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u5437,negated_conjecture,
( ~ product(e_1,X1,X0)
| equalish(X0,e_5)
| ~ product(X0,X1,e_3) ) ).
cnf(u5186,negated_conjecture,
~ product(e_2,e_5,e_5) ).
cnf(u5052,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)
| product(e_5,X0,e_4) ) ).
cnf(u4697,negated_conjecture,
~ product(e_3,e_1,e_3) ).
cnf(u4943,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_3,X0,X1) ) ).
cnf(u4808,negated_conjecture,
( ~ product(e_2,X0,X1)
| ~ product(X1,X0,e_3)
| equalish(X1,e_4) ) ).
cnf(u1114,axiom,
( ~ product(e_1,X1,X0)
| ~ group_element(X1)
| product(e_1,X1,e_1)
| product(e_1,X1,e_2)
| product(e_1,X1,e_3)
| product(e_1,X1,e_4)
| equalish(X0,e_5) ) ).
cnf(u4834,negated_conjecture,
~ product(e_5,e_4,e_5) ).
cnf(u4547,negated_conjecture,
( ~ product(e_2,e_3,X0)
| ~ product(e_4,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_3) ) ).
cnf(u5455,axiom,
( ~ 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)
| 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(u4983,negated_conjecture,
( ~ product(e_5,X0,e_1)
| equalish(X0,e_4)
| ~ group_element(X0)
| product(e_3,X0,e_1)
| product(e_3,X0,e_3)
| product(e_3,X0,e_4) ) ).
cnf(e_4_then_e_5,axiom,
next(e_4,e_5) ).
cnf(u4602,negated_conjecture,
( ~ product(X0,e_3,e_4)
| equalish(X0,e_1) ) ).
cnf(u4827,negated_conjecture,
( ~ product(X1,X0,e_3)
| ~ product(e_5,X0,X1)
| equalish(X0,e_1) ) ).
cnf(u4718,negated_conjecture,
~ product(e_4,e_4,e_2) ).
cnf(u4600,negated_conjecture,
( ~ product(e_1,e_3,X0)
| equalish(X0,e_4) ) ).
cnf(u4611,negated_conjecture,
( ~ product(e_1,X0,e_3)
| equalish(X0,e_2) ) ).
cnf(u533,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_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(u4846,negated_conjecture,
~ product(e_4,e_4,e_3) ).
cnf(u4628,negated_conjecture,
( ~ product(e_3,e_4,X0)
| ~ product(e_5,X1,X2)
| ~ product(X2,X1,X0)
| equalish(X1,e_4) ) ).
cnf(u4491,axiom,
( ~ product(e_2,e_5,X0)
| equalish(X0,e_4) ) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : GRP123-2.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.38 % Computer : n015.cluster.edu
% 0.10/0.38 % Model : x86_64 x86_64
% 0.10/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.10/0.38 % Memory : 8046.5625MB
% 0.10/0.38 % OS : Linux 6.8.0-71-generic
% 0.10/0.38 % CPULimit : 300
% 0.10/0.38 % WCLimit : 300
% 0.10/0.38 % DateTime : Sun Sep 27 09:23:16 UTC 2026
% 0.10/0.38 % CPUTime :
% 0.10/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.10/0.42 Running first-order theorem proving
% 0.10/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 8.69/2.12 % (1392164)Input is clausal, will run a generic CNF schedule.
% 8.69/2.12 % (1392170)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=3691006216:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 8.69/2.12 % (1392169)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=2407248619:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 8.69/2.12 % (1392175)dis-21_1_sil=8000:lcm=predicate:random_seed=1593127086: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)
% 8.69/2.12 % (1392173)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=671469264:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 8.69/2.12 % (1392172)lrs+10_1_sil=8000:sp=occurrence:random_seed=2458174913:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 8.69/2.12 % (1392171)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=4271604447:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 8.69/2.12 % (1392174)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1873371753:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 8.69/2.12 % (1392174)Refutation not found, incomplete strategy
% 8.69/2.12 % (1392174)------------------------------
% 8.69/2.12 % (1392174)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.12 % (1392174)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.12 % (1392174)CaDiCaL version: 2.1.3
% 8.69/2.12 % (1392174)Termination reason: Refutation not found, incomplete strategy
% 8.69/2.12 % (1392174)Time elapsed: 0.057 s
% 8.69/2.12 % (1392174)Peak memory usage: 89 MB
% 8.69/2.12 % (1392174)Instructions burned: 87 (million)
% 8.69/2.12 % (1392172)Instruction limit reached!
% 8.69/2.12 % (1392172)------------------------------
% 8.69/2.12 % (1392172)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.12 % (1392172)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.12 % (1392172)CaDiCaL version: 2.1.3
% 8.69/2.12 % (1392172)Termination reason: Instruction limit
% 8.69/2.12 % (1392172)Termination phase: Saturation
% 8.69/2.12 % (1392172)Time elapsed: 0.060 s
% 8.69/2.12 % (1392172)Peak memory usage: 88 MB
% 8.69/2.12 % (1392172)Instructions burned: 107 (million)
% 8.69/2.12 % (1392173)Instruction limit reached!
% 8.69/2.12 % (1392173)------------------------------
% 8.69/2.12 % (1392173)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.12 % (1392173)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.12 % (1392173)CaDiCaL version: 2.1.3
% 8.69/2.12 % (1392173)Termination reason: Instruction limit
% 8.69/2.12 % (1392173)Termination phase: Saturation
% 8.69/2.12 % (1392173)Time elapsed: 0.060 s
% 8.69/2.12 % (1392173)Peak memory usage: 88 MB
% 8.69/2.12 % (1392173)Instructions burned: 114 (million)
% 8.69/2.12 % (1392175)Instruction limit reached!
% 8.69/2.12 % (1392175)------------------------------
% 8.69/2.12 % (1392175)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.12 % (1392175)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.12 % (1392175)CaDiCaL version: 2.1.3
% 8.69/2.12 % (1392175)Termination reason: Instruction limit
% 8.69/2.12 % (1392175)Termination phase: Saturation
% 8.69/2.12 % (1392175)Time elapsed: 0.072 s
% 8.69/2.12 % (1392175)Peak memory usage: 88 MB
% 8.69/2.12 % (1392175)Instructions burned: 117 (million)
% 8.69/2.12 % (1392184)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=930976497: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)
% 8.69/2.12 % (1392183)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=1078623171:i=143:sd=2:aac=none:ss=axioms:sgt=16_2997 on theBenchmark for (2997ds/143Mi)
% 8.69/2.12 % (1392184)Refutation not found, incomplete strategy
% 8.69/2.12 % (1392184)------------------------------
% 8.69/2.12 % (1392184)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.69/2.12 % (1392184)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.69/2.12 % (1392184)CaDiCaL version: 2.1.3
% 12.66/2.76 % (1392184)Termination reason: Refutation not found, incomplete strategy
% 12.66/2.76 % (1392184)Time elapsed: 0.003 s
% 12.66/2.76 % (1392184)Peak memory usage: 87 MB
% 12.66/2.76 % (1392184)Instructions burned: 3 (million)
% 12.66/2.76 % (1392185)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2272150053:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 12.66/2.76 % (1392183)Instruction limit reached!
% 12.66/2.76 % (1392183)------------------------------
% 12.66/2.76 % (1392183)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.76 % (1392183)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.76 % (1392183)CaDiCaL version: 2.1.3
% 12.66/2.76 % (1392183)Termination reason: Instruction limit
% 12.66/2.76 % (1392183)Termination phase: Saturation
% 12.66/2.76 % (1392183)Time elapsed: 0.073 s
% 12.66/2.76 % (1392183)Peak memory usage: 88 MB
% 12.66/2.76 % (1392183)Instructions burned: 143 (million)
% 12.66/2.76 % (1392174)------------------------------
% 12.66/2.76 % (1392174)------------------------------
% 12.66/2.76 % (1392185)Instruction limit reached!
% 12.66/2.76 % (1392185)------------------------------
% 12.66/2.76 % (1392185)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.76 % (1392185)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.76 % (1392185)CaDiCaL version: 2.1.3
% 12.66/2.76 % (1392185)Termination reason: Instruction limit
% 12.66/2.76 % (1392185)Termination phase: Saturation
% 12.66/2.76 % (1392185)Time elapsed: 0.112 s
% 12.66/2.76 % (1392185)Peak memory usage: 88 MB
% 12.66/2.76 % (1392185)Instructions burned: 219 (million)
% 12.66/2.76 % (1392170)Refutation not found, incomplete strategy
% 12.66/2.76 % (1392170)------------------------------
% 12.66/2.76 % (1392170)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.76 % (1392170)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.76 % (1392170)CaDiCaL version: 2.1.3
% 12.66/2.76 % (1392170)Termination reason: Refutation not found, incomplete strategy
% 12.66/2.76 % (1392170)Time elapsed: 0.364 s
% 12.66/2.76 % (1392170)Peak memory usage: 127 MB
% 12.66/2.76 % (1392170)Instructions burned: 940 (million)
% 12.66/2.76 % (1392189)lrs+10_64_to=lpo:sil=8000:random_seed=2710309365:i=126:bd=preordered_2995 on theBenchmark for (2995ds/126Mi)
% 12.66/2.76 % (1392184)------------------------------
% 12.66/2.76 % (1392184)------------------------------
% 12.66/2.76 % (1392190)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=4219139255:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 12.66/2.76 % (1392191)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3639289612:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 12.66/2.76 % (1392170)------------------------------
% 12.66/2.76 % (1392170)------------------------------
% 12.66/2.76 % (1392189)Instruction limit reached!
% 12.66/2.76 % (1392189)------------------------------
% 12.66/2.76 % (1392189)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.76 % (1392189)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.76 % (1392189)CaDiCaL version: 2.1.3
% 12.66/2.76 % (1392189)Termination reason: Instruction limit
% 12.66/2.76 % (1392189)Termination phase: Saturation
% 12.66/2.76 % (1392189)Time elapsed: 0.078 s
% 12.66/2.76 % (1392189)Peak memory usage: 88 MB
% 12.66/2.76 % (1392189)Instructions burned: 127 (million)
% 12.66/2.76 % (1392191)Instruction limit reached!
% 12.66/2.76 % (1392191)------------------------------
% 12.66/2.76 % (1392191)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.76 % (1392191)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.76 % (1392191)CaDiCaL version: 2.1.3
% 12.66/2.76 % (1392191)Termination reason: Instruction limit
% 12.66/2.76 % (1392191)Termination phase: Saturation
% 12.66/2.76 % (1392191)Time elapsed: 0.087 s
% 12.66/2.76 % (1392191)Peak memory usage: 88 MB
% 12.66/2.76 % (1392191)Instructions burned: 158 (million)
% 12.66/2.76 % (1392195)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=2143515801:i=3394:sd=4:ss=included:sgt=64_2993 on theBenchmark for (2993ds/3394Mi)
% 12.66/2.76 % (1392190)Instruction limit reached!
% 12.66/2.76 % (1392190)------------------------------
% 12.66/2.76 % (1392190)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 12.66/2.76 % (1392190)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 12.66/2.76 % (1392190)CaDiCaL version: 2.1.3
% 18.66/3.58 % (1392190)Termination reason: Instruction limit
% 18.66/3.58 % (1392190)Termination phase: Saturation
% 18.66/3.58 % (1392190)Time elapsed: 0.122 s
% 18.66/3.58 % (1392190)Peak memory usage: 88 MB
% 18.66/3.58 % (1392190)Instructions burned: 195 (million)
% 18.66/3.58 % (1392196)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=2242674795:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2993 on theBenchmark for (2993ds/106Mi)
% 18.66/3.58 % (1392197)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3951069544:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 18.66/3.58 % (1392196)Refutation not found, incomplete strategy
% 18.66/3.58 % (1392196)------------------------------
% 18.66/3.58 % (1392196)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/3.58 % (1392196)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/3.58 % (1392196)CaDiCaL version: 2.1.3
% 18.66/3.58 % (1392196)Termination reason: Refutation not found, incomplete strategy
% 18.66/3.58 % (1392196)Time elapsed: 0.009 s
% 18.66/3.58 % (1392196)Peak memory usage: 88 MB
% 18.66/3.58 % (1392196)Instructions burned: 17 (million)
% 18.66/3.58 % (1392198)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=3129232412:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2993 on theBenchmark for (2993ds/242Mi)
% 18.66/3.58 % (1392197)Instruction limit reached!
% 18.66/3.58 % (1392197)------------------------------
% 18.66/3.58 % (1392197)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/3.58 % (1392197)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/3.58 % (1392197)CaDiCaL version: 2.1.3
% 18.66/3.58 % (1392197)Termination reason: Instruction limit
% 18.66/3.58 % (1392197)Termination phase: Saturation
% 18.66/3.58 % (1392197)Time elapsed: 0.057 s
% 18.66/3.58 % (1392197)Peak memory usage: 88 MB
% 18.66/3.58 % (1392197)Instructions burned: 108 (million)
% 18.66/3.58 % (1392200)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=445249949:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 18.66/3.58 % (1392198)Instruction limit reached!
% 18.66/3.58 % (1392198)------------------------------
% 18.66/3.58 % (1392198)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/3.58 % (1392198)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/3.58 % (1392198)CaDiCaL version: 2.1.3
% 18.66/3.58 % (1392198)Termination reason: Instruction limit
% 18.66/3.58 % (1392198)Termination phase: Saturation
% 18.66/3.58 % (1392198)Time elapsed: 0.125 s
% 18.66/3.58 % (1392198)Peak memory usage: 88 MB
% 18.66/3.58 % (1392198)Instructions burned: 244 (million)
% 18.66/3.58 % (1392204)lrs+1011_16_sil=32000:erd=off:bce=on:random_seed=3905150177:i=134:sd=2:doe=on:ss=axioms:sgt=14_2991 on theBenchmark for (2991ds/134Mi)
% 18.66/3.58 % (1392196)------------------------------
% 18.66/3.58 % (1392196)------------------------------
% 18.66/3.58 % (1392204)Instruction limit reached!
% 18.66/3.58 % (1392204)------------------------------
% 18.66/3.58 % (1392204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/3.58 % (1392204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 18.66/3.58 % (1392204)CaDiCaL version: 2.1.3
% 18.66/3.58 % (1392204)Termination reason: Instruction limit
% 18.66/3.58 % (1392204)Termination phase: Saturation
% 18.66/3.58 % (1392204)Time elapsed: 0.081 s
% 18.66/3.58 % (1392204)Peak memory usage: 88 MB
% 18.66/3.58 % (1392204)Instructions burned: 134 (million)
% 18.66/3.58 % (1392206)ott+10_5:4_to=lpo:sil=8000:prc=on:fde=unused:sp=unary_frequency:spb=goal:urr=on:random_seed=466019765:i=499:bd=all_2990 on theBenchmark for (2990ds/499Mi)
% 18.66/3.58 % (1392208)lrs+10_64_to=lpo:sil=8000:prc=on:sp=reverse_frequency:nwc=5:alpa=false:flr=on:random_seed=1362617056:i=191:fgj=on:bd=all_2989 on theBenchmark for (2989ds/191Mi)
% 18.66/3.58 % (1392209)lrs-11_32_anc=all:sil=8000:spb=goal_then_units:sac=on:random_seed=3554674484:i=264:kws=precedence:fsr=off_2989 on theBenchmark for (2989ds/264Mi)
% 18.66/3.58 % (1392208)Instruction limit reached!
% 18.66/3.58 % (1392208)------------------------------
% 18.66/3.58 % (1392208)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 18.66/3.58 % (1392208)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/5.21 % (1392208)CaDiCaL version: 2.1.3
% 31.02/5.21 % (1392208)Termination reason: Instruction limit
% 31.02/5.21 % (1392208)Termination phase: Saturation
% 31.02/5.21 % (1392208)Time elapsed: 0.113 s
% 31.02/5.21 % (1392208)Peak memory usage: 88 MB
% 31.02/5.21 % (1392208)Instructions burned: 194 (million)
% 31.02/5.21 % (1392209)Instruction limit reached!
% 31.02/5.21 % (1392209)------------------------------
% 31.02/5.21 % (1392209)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.02/5.21 % (1392209)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/5.21 % (1392209)CaDiCaL version: 2.1.3
% 31.02/5.21 % (1392209)Termination reason: Instruction limit
% 31.02/5.21 % (1392209)Termination phase: Saturation
% 31.02/5.21 % (1392209)Time elapsed: 0.141 s
% 31.02/5.21 % (1392209)Peak memory usage: 90 MB
% 31.02/5.21 % (1392209)Instructions burned: 264 (million)
% 31.02/5.21 % (1392206)Instruction limit reached!
% 31.02/5.21 % (1392206)------------------------------
% 31.02/5.21 % (1392206)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.02/5.21 % (1392206)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/5.21 % (1392206)CaDiCaL version: 2.1.3
% 31.02/5.21 % (1392206)Termination reason: Instruction limit
% 31.02/5.21 % (1392206)Termination phase: Saturation
% 31.02/5.21 % (1392206)Time elapsed: 0.264 s
% 31.02/5.21 % (1392206)Peak memory usage: 90 MB
% 31.02/5.21 % (1392206)Instructions burned: 500 (million)
% 31.02/5.21 % (1392213)lrs-22_64_to=lpo:sil=8000:sp=const_frequency:urr=ec_only:nwc=4:flr=on:random_seed=2176779949:cond=on:i=156:bs=on:gtg=exists_all:er=known_2987 on theBenchmark for (2987ds/156Mi)
% 31.02/5.21 % (1392214)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=2167640144:i=3256:kws=precedence:bd=preordered:av=off_2986 on theBenchmark for (2986ds/3256Mi)
% 31.02/5.21 % (1392215)dis+1003_128_sil=8000:tgt=full:fd=off:random_seed=3594603604:i=537:av=off:ss=included_2986 on theBenchmark for (2986ds/537Mi)
% 31.02/5.21 % (1392213)Instruction limit reached!
% 31.02/5.21 % (1392213)------------------------------
% 31.02/5.21 % (1392213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.02/5.21 % (1392213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/5.21 % (1392213)CaDiCaL version: 2.1.3
% 31.02/5.21 % (1392213)Termination reason: Instruction limit
% 31.02/5.21 % (1392213)Termination phase: Saturation
% 31.02/5.21 % (1392213)Time elapsed: 0.085 s
% 31.02/5.21 % (1392213)Peak memory usage: 88 MB
% 31.02/5.21 % (1392213)Instructions burned: 156 (million)
% 31.02/5.21 % (1392219)ott+1010_32_to=lpo:sil=8000:urr=on:nwc=4:random_seed=3602064387:i=180:bd=preordered:av=off_2985 on theBenchmark for (2985ds/180Mi)
% 31.02/5.21 % (1392219)Instruction limit reached!
% 31.02/5.21 % (1392219)------------------------------
% 31.02/5.21 % (1392219)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.02/5.21 % (1392219)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/5.21 % (1392219)CaDiCaL version: 2.1.3
% 31.02/5.21 % (1392219)Termination reason: Instruction limit
% 31.02/5.21 % (1392219)Termination phase: Saturation
% 31.02/5.21 % (1392219)Time elapsed: 0.097 s
% 31.02/5.21 % (1392219)Peak memory usage: 87 MB
% 31.02/5.21 % (1392219)Instructions burned: 180 (million)
% 31.02/5.21 % (1392215)Instruction limit reached!
% 31.02/5.21 % (1392215)------------------------------
% 31.02/5.21 % (1392215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 31.02/5.21 % (1392215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 31.02/5.21 % (1392215)CaDiCaL version: 2.1.3
% 31.02/5.21 % (1392215)Termination reason: Instruction limit
% 31.02/5.21 % (1392215)Termination phase: Saturation
% 31.02/5.21 % (1392215)Time elapsed: 0.253 s
% 31.02/5.21 % (1392215)Peak memory usage: 88 MB
% 31.02/5.21 % (1392215)Instructions burned: 537 (million)
% 31.02/5.21 % (1392221)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=1321481078:i=10307:s2at=3:bs=on:bd=preordered:fsd=on_2982 on theBenchmark for (2982ds/10307Mi)
% 31.02/5.21 % (1392222)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=3001230592:i=412:gtgl=4:gtg=exists_all_2982 on theBenchmark for (2982ds/412Mi)
% 31.02/5.21 % (1392195)Instruction limit reached!
% 31.02/5.21 % (1392195)------------------------------
% 41.03/6.83 % (1392195)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.03/6.83 % (1392195)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.03/6.83 % (1392195)CaDiCaL version: 2.1.3
% 41.03/6.83 % (1392195)Termination reason: Instruction limit
% 41.03/6.83 % (1392195)Termination phase: Saturation
% 41.03/6.83 % (1392195)Time elapsed: 1.181 s
% 41.03/6.83 % (1392195)Peak memory usage: 140 MB
% 41.03/6.83 % (1392195)Instructions burned: 3396 (million)
% 41.03/6.83 % (1392225)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=1132916129:s2pl=no:i=8478:s2at=4:nm=6_2980 on theBenchmark for (2980ds/8478Mi)
% 41.03/6.83 % (1392222)Instruction limit reached!
% 41.03/6.83 % (1392222)------------------------------
% 41.03/6.83 % (1392222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.03/6.83 % (1392222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.03/6.83 % (1392222)CaDiCaL version: 2.1.3
% 41.03/6.83 % (1392222)Termination reason: Instruction limit
% 41.03/6.83 % (1392222)Termination phase: Saturation
% 41.03/6.83 % (1392222)Time elapsed: 0.199 s
% 41.03/6.83 % (1392222)Peak memory usage: 90 MB
% 41.03/6.83 % (1392222)Instructions burned: 412 (million)
% 41.03/6.83 % (1392227)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=3240886438:s2a=on:i=303:s2at=2:sd=1:kws=inv_arity:bs=on:ins=10:fdi=1024:sup=off:ss=included_2979 on theBenchmark for (2979ds/303Mi)
% 41.03/6.83 % (1392225)Refutation not found, incomplete strategy
% 41.03/6.83 % (1392225)------------------------------
% 41.03/6.83 % (1392225)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.03/6.83 % (1392225)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.03/6.83 % (1392225)CaDiCaL version: 2.1.3
% 41.03/6.83 % (1392225)Termination reason: Refutation not found, incomplete strategy
% 41.03/6.83 % (1392225)Time elapsed: 0.342 s
% 41.03/6.83 % (1392225)Peak memory usage: 128 MB
% 41.03/6.83 % (1392225)Instructions burned: 945 (million)
% 41.03/6.83 % (1392227)Instruction limit reached!
% 41.03/6.83 % (1392227)------------------------------
% 41.03/6.83 % (1392227)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.03/6.83 % (1392227)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.03/6.83 % (1392227)CaDiCaL version: 2.1.3
% 41.03/6.83 % (1392227)Termination reason: Instruction limit
% 41.03/6.83 % (1392227)Termination phase: Saturation
% 41.03/6.83 % (1392227)Time elapsed: 0.171 s
% 41.03/6.83 % (1392227)Peak memory usage: 90 MB
% 41.03/6.83 % (1392227)Instructions burned: 303 (million)
% 41.03/6.83 % (1392225)------------------------------
% 41.03/6.83 % (1392225)------------------------------
% 41.03/6.83 % (1392271)lrs+10_1_to=lpo:sil=16000:fde=none:sos=on:urr=on:bsr=on:random_seed=3830886067:st=4:i=720:sd=3:fsr=off:ss=axioms_2976 on theBenchmark for (2976ds/720Mi)
% 41.03/6.83 % (1392271)Refutation not found, incomplete strategy
% 41.03/6.83 % (1392271)------------------------------
% 41.03/6.83 % (1392271)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.03/6.83 % (1392271)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.03/6.83 % (1392271)CaDiCaL version: 2.1.3
% 41.03/6.83 % (1392271)Termination reason: Refutation not found, incomplete strategy
% 41.03/6.83 % (1392271)Time elapsed: 0.002 s
% 41.03/6.83 % (1392271)Peak memory usage: 88 MB
% 41.03/6.83 % (1392271)Instructions burned: 2 (million)
% 41.03/6.83 % (1392273)lrs-20_1_to=lpo:sil=32000:tgt=ground:sp=reverse_frequency:spb=goal:urr=on:bsr=unit_only:nwc=1.5:random_seed=3477437775:i=598:bs=on:bd=preordered:av=off:ss=axioms_2975 on theBenchmark for (2975ds/598Mi)
% 41.03/6.83 % (1392273)Refutation not found, incomplete strategy
% 41.03/6.83 % (1392273)------------------------------
% 41.03/6.83 % (1392273)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 41.03/6.83 % (1392273)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 41.03/6.83 % (1392273)CaDiCaL version: 2.1.3
% 41.03/6.83 % (1392273)Termination reason: Refutation not found, incomplete strategy
% 41.03/6.83 % (1392273)Time elapsed: 0.0000 s
% 41.03/6.83 % (1392273)Peak memory usage: 86 MB
% 41.03/6.83 % (1392273)------------------------------
% 41.03/6.83 % (1392273)------------------------------
% 41.03/6.83 % (1392271)------------------------------
% 41.03/6.83 % (1392271)------------------------------
% 45.15/7.27 % (1392275)dis-1010_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:sp=occurrence:random_seed=3888558806:i=2989:sd=3:ss=axioms:sgt=60_2972 on theBenchmark for (2972ds/2989Mi)
% 45.15/7.27 % (1392276)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=4073205457:i=1997:bd=preordered:av=off:gtg=all:gsp=on_2972 on theBenchmark for (2972ds/1997Mi)
% 45.15/7.27 % (1392214)Instruction limit reached!
% 45.15/7.27 % (1392214)------------------------------
% 45.15/7.27 % (1392214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.15/7.27 % (1392214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.27 % (1392214)CaDiCaL version: 2.1.3
% 45.15/7.27 % (1392214)Termination reason: Instruction limit
% 45.15/7.27 % (1392214)Termination phase: Saturation
% 45.15/7.27 % (1392214)Time elapsed: 1.810 s
% 45.15/7.27 % (1392214)Peak memory usage: 134 MB
% 45.15/7.27 % (1392214)Instructions burned: 3256 (million)
% 45.15/7.27 % (1392279)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=1476946940:i=2088:bd=preordered:av=off_2967 on theBenchmark for (2967ds/2088Mi)
% 45.15/7.27 % (1392200)Instruction limit reached!
% 45.15/7.27 % (1392200)------------------------------
% 45.15/7.27 % (1392200)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.15/7.27 % (1392200)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.27 % (1392200)CaDiCaL version: 2.1.3
% 45.15/7.27 % (1392200)Termination reason: Instruction limit
% 45.15/7.27 % (1392200)Termination phase: Saturation
% 45.15/7.27 % (1392200)Time elapsed: 2.878 s
% 45.15/7.27 % (1392200)Peak memory usage: 136 MB
% 45.15/7.27 % (1392200)Instructions burned: 5208 (million)
% 45.15/7.27 % (1392275)Instruction limit reached!
% 45.15/7.27 % (1392275)------------------------------
% 45.15/7.27 % (1392275)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.15/7.27 % (1392275)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.27 % (1392275)CaDiCaL version: 2.1.3
% 45.15/7.27 % (1392275)Termination reason: Instruction limit
% 45.15/7.27 % (1392275)Termination phase: Saturation
% 45.15/7.27 % (1392275)Time elapsed: 1.022 s
% 45.15/7.27 % (1392275)Peak memory usage: 139 MB
% 45.15/7.27 % (1392275)Instructions burned: 2991 (million)
% 45.15/7.27 % (1392281)lrs+1010_64:1_anc=all:to=lpo:sil=16000:fde=none:sp=const_frequency:urr=full:sac=on:random_seed=2925577028:i=1098:nicw=on_2962 on theBenchmark for (2962ds/1098Mi)
% 45.15/7.27 % (1392282)lrs-1011_32:1_to=lpo:sil=32000:tgt=ground:sos=on:spb=goal_then_units:acc=on:random_seed=4139886009:i=433:bd=preordered_2961 on theBenchmark for (2961ds/433Mi)
% 45.15/7.27 % (1392282)Instruction limit reached!
% 45.15/7.27 % (1392282)------------------------------
% 45.15/7.27 % (1392282)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.15/7.27 % (1392282)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.27 % (1392282)CaDiCaL version: 2.1.3
% 45.15/7.27 % (1392282)Termination reason: Instruction limit
% 45.15/7.27 % (1392282)Termination phase: Saturation
% 45.15/7.27 % (1392282)Time elapsed: 0.125 s
% 45.15/7.27 % (1392282)Peak memory usage: 89 MB
% 45.15/7.27 % (1392282)Instructions burned: 443 (million)
% 45.15/7.27 % (1392285)lrs+1002_1_ncem=casc2026/models/loop3.pt:sil=32000:npcc=on:prc=on:etr=on:spb=goal:flr=on:random_seed=4037061787: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)
% 45.15/7.27 % (1392276)Instruction limit reached!
% 45.15/7.27 % (1392276)------------------------------
% 45.15/7.27 % (1392276)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.15/7.27 % (1392276)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.27 % (1392276)CaDiCaL version: 2.1.3
% 45.15/7.27 % (1392276)Termination reason: Instruction limit
% 45.15/7.27 % (1392276)Termination phase: Saturation
% 45.15/7.27 % (1392276)Time elapsed: 1.343 s
% 45.15/7.27 % (1392276)Peak memory usage: 134 MB
% 45.15/7.27 % (1392276)Instructions burned: 1998 (million)
% 45.15/7.27 % (1392287)lrs+35_1_ncem=casc2026/models/loop8.pt:sil=64000:npcc=on:sp=reverse_arity:urr=full:rp=on:br=off:random_seed=1754020168:i=6922:s2at=5:sd=3:bd=all:ss=axioms:er=known:sgt=32_2957 on theBenchmark for (2957ds/6922Mi)
% 45.15/7.27 % (1392281)Instruction limit reached!
% 45.15/7.27 % (1392281)------------------------------
% 45.15/7.27 % (1392281)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.15/7.27 % (1392281)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.27 % (1392281)CaDiCaL version: 2.1.3
% 45.15/7.27 % (1392281)Termination reason: Instruction limit
% 45.15/7.27 % (1392281)Termination phase: Saturation
% 45.15/7.27 % (1392281)Time elapsed: 0.565 s
% 45.15/7.27 % (1392281)Peak memory usage: 92 MB
% 45.15/7.27 % (1392281)Instructions burned: 1100 (million)
% 45.15/7.27 % (1392289)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=2728411730:s2a=on:i=596:s2at=2.3:gtgl=5:gtg=all:sup=off_2955 on theBenchmark for (2955ds/596Mi)
% 45.15/7.27 % (1392289)Refutation not found, incomplete strategy
% 45.15/7.27 % (1392289)------------------------------
% 45.15/7.27 % (1392289)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.15/7.27 % (1392289)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.27 % (1392289)CaDiCaL version: 2.1.3
% 45.15/7.27 % (1392289)Termination reason: Refutation not found, incomplete strategy
% 45.15/7.27 % (1392289)Time elapsed: 0.008 s
% 45.15/7.27 % (1392289)Peak memory usage: 88 MB
% 45.15/7.27 % (1392289)Instructions burned: 14 (million)
% 45.15/7.27 % (1392279)Instruction limit reached!
% 45.15/7.27 % (1392279)------------------------------
% 45.15/7.27 % (1392279)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.15/7.27 % (1392279)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.27 % (1392279)CaDiCaL version: 2.1.3
% 45.15/7.27 % (1392279)Termination reason: Instruction limit
% 45.15/7.27 % (1392279)Termination phase: Saturation
% 45.15/7.27 % (1392279)Time elapsed: 1.280 s
% 45.15/7.27 % (1392279)Peak memory usage: 133 MB
% 45.15/7.27 % (1392279)Instructions burned: 2088 (million)
% 45.15/7.27 % (1392291)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=742720039:i=4123:kws=inv_frequency:bd=preordered:av=off:er=known_2953 on theBenchmark for (2953ds/4123Mi)
% 45.15/7.27 % (1392289)------------------------------
% 45.15/7.27 % (1392289)------------------------------
% 45.15/7.27 % (1392293)lrs+11_1_ncem=casc2026/models/loop8.pt:sil=32000:npcc=on:lma=off:kmz=on:random_seed=3435572868:i=16411:kws=arity:fgj=on:bd=preordered:ins=6:ss=axioms:sgt=30_2951 on theBenchmark for (2951ds/16411Mi)
% 45.15/7.27 % (1392287)Refutation not found, incomplete strategy
% 45.15/7.27 % (1392287)------------------------------
% 45.15/7.27 % (1392287)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.15/7.27 % (1392287)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.27 % (1392287)CaDiCaL version: 2.1.3
% 45.15/7.27 % (1392287)Termination reason: Refutation not found, incomplete strategy
% 45.15/7.27 % (1392287)Time elapsed: 0.612 s
% 45.15/7.27 % (1392287)Peak memory usage: 128 MB
% 45.15/7.27 % (1392287)Instructions burned: 934 (million)
% 45.15/7.27 % (1392287)------------------------------
% 45.15/7.27 % (1392287)------------------------------
% 45.15/7.27 % (1392285)Instruction limit reached!
% 45.15/7.27 % (1392285)------------------------------
% 45.15/7.27 % (1392285)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.15/7.27 % (1392285)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.27 % (1392285)CaDiCaL version: 2.1.3
% 45.15/7.27 % (1392285)Termination reason: Instruction limit
% 45.15/7.27 % (1392285)Termination phase: Saturation
% 45.15/7.27 % (1392285)Time elapsed: 1.044 s
% 45.15/7.27 % (1392285)Peak memory usage: 136 MB
% 45.15/7.27 % (1392285)Instructions burned: 2943 (million)
% 45.15/7.27 % (1392295)lrs+0_1_ncem=casc2026/models/loop1.pt:sil=8000:tgt=full:npcc=on:sp=reverse_frequency:gs=on:random_seed=3625568401:i=1670:kws=inv_precedence:bd=all:av=off:gtg=exists_all_2947 on theBenchmark for (2947ds/1670Mi)
% 45.15/7.27 % (1392296)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=551052082:st=3:cond=fast:i=1722:sd=2:ss=included:fsd=on_2947 on theBenchmark for (2947ds/1722Mi)
% 45.15/7.27 % (1392295)Instruction limit reached!
% 45.15/7.27 % (1392295)------------------------------
% 45.15/7.27 % (1392295)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.15/7.27 % (1392295)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.27 % (1392295)CaDiCaL version: 2.1.3
% 45.15/7.27 % (1392295)Termination reason: Instruction limit
% 45.15/7.27 % (1392295)Termination phase: Saturation
% 45.15/7.27 % (1392295)Time elapsed: 0.671 s
% 45.15/7.27 % (1392295)Peak memory usage: 136 MB
% 45.15/7.27 % (1392295)Instructions burned: 1672 (million)
% 45.15/7.27 % (1392293)First to succeed.
% 45.15/7.27 % (1392299)ott-1004_1_anc=all_dependent:to=lpo:ncem=casc2026/models/loop8.pt:sil=32000:tgt=full:npcc=on:sas=cadical:sp=const_frequency:acc=on:urr=ec_only:gs=on:s2agt=40:alpa=false:sac=on:random_seed=781125846:cts=off:cond=on:i=9530:bs=on:fsd=on_2940 on theBenchmark for (2940ds/9530Mi)
% 45.15/7.27 % (1392293)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1392164"
% 45.15/7.27 % (1392296)Refutation not found, incomplete strategy
% 45.15/7.27 % (1392296)------------------------------
% 45.15/7.27 % (1392296)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.15/7.27 % (1392296)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.15/7.27 % (1392296)CaDiCaL version: 2.1.3
% 45.15/7.27 % (1392296)Termination reason: Refutation not found, incomplete strategy
% 45.15/7.27 % (1392296)Time elapsed: 0.932 s
% 45.15/7.27 % (1392296)Peak memory usage: 132 MB
% 45.15/7.27 % (1392296)Instructions burned: 1528 (million)
% 45.15/7.27 % SZS status Satisfiable for theBenchmark
% 45.15/7.27 % SZS output start Saturation.
% See solution above
% 45.80/7.46 % SZS output start Definitions and Model Updates.
% 45.80/7.46 % SZS output end Definitions and Model Updates.
% 45.80/7.46 % (1392293)------------------------------
% 45.80/7.46 % (1392293)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 45.80/7.46 % (1392293)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 45.80/7.46 % (1392293)CaDiCaL version: 2.1.3
% 45.80/7.46 % (1392293)Termination reason: Satisfiable
% 45.80/7.46 % (1392293)Time elapsed: 1.176 s
% 45.80/7.46 % (1392293)Peak memory usage: 133 MB
% 45.80/7.46 % (1392293)Instructions burned: 1683 (million)
% 45.80/7.46 % (1392293)------------------------------
% 45.80/7.46 % (1392293)------------------------------
% 45.80/7.46 % (1392164)Success in time 6.411 s
% 45.80/7.46 % Vampire exiting
%------------------------------------------------------------------------------