TSTP Solution File: GRP123-8.004 by SnakeForV-SAT---1.0
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SnakeForV-SAT---1.0
% Problem : GRP123-8.004 : TPTP v8.1.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% Computer : n009.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8042.1875MB
% OS : Linux 3.10.0-693.el7.x86_64
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Wed Aug 31 16:20:19 EDT 2022
% Result : Satisfiable 1.50s 0.59s
% Output : Saturation 1.50s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u71,axiom,
~ cycle(e_2,e_3) ).
cnf(u75,axiom,
~ cycle(e_2,e_2) ).
cnf(u80,axiom,
cycle(e_2,e_0) ).
cnf(u83,axiom,
~ cycle(e_2,e_1) ).
cnf(u89,axiom,
cycle(e_1,e_0) ).
cnf(u92,axiom,
~ cycle(e_1,e_3) ).
cnf(u96,axiom,
~ cycle(e_1,e_1) ).
cnf(u100,axiom,
~ cycle(e_1,e_2) ).
cnf(u105,axiom,
~ cycle(e_3,e_3) ).
cnf(u110,axiom,
cycle(e_3,e_0) ).
cnf(u113,axiom,
~ cycle(e_3,e_2) ).
cnf(u117,axiom,
~ cycle(e_3,e_1) ).
cnf(u151,axiom,
( ~ greater(X15,X16)
| ~ cycle(X17,X16)
| ~ cycle(e_1,X15)
| ~ next(e_3,X17) ) ).
cnf(u155,axiom,
( ~ next(e_3,X23)
| ~ cycle(e_2,X21)
| ~ cycle(X23,X22)
| ~ greater(X21,X22) ) ).
cnf(u161,axiom,
( ~ greater(X3,X4)
| ~ cycle(e_0,X3)
| ~ next(e_2,X5)
| ~ cycle(X5,X4) ) ).
cnf(u165,axiom,
( ~ cycle(e_0,X6)
| ~ next(e_3,X8)
| ~ greater(X6,X7)
| ~ cycle(X8,X7) ) ).
cnf(u169,axiom,
( ~ cycle(X14,X13)
| ~ greater(X12,X13)
| ~ next(e_2,X14)
| ~ cycle(e_1,X12) ) ).
cnf(u179,axiom,
~ product1(e_1,e_4,e_4) ).
cnf(u184,axiom,
product1(e_1,e_4,e_3) ).
cnf(u187,axiom,
~ product1(e_1,e_4,e_1) ).
cnf(u191,axiom,
~ product1(e_1,e_4,e_2) ).
cnf(u197,axiom,
product1(e_1,e_3,e_2) ).
cnf(u200,axiom,
~ product1(e_1,e_3,e_3) ).
cnf(u204,axiom,
~ product1(e_1,e_3,e_1) ).
cnf(u208,axiom,
~ product1(e_1,e_3,e_4) ).
cnf(u213,axiom,
~ product1(e_1,e_2,e_1) ).
cnf(u218,axiom,
product1(e_1,e_2,e_4) ).
cnf(u221,axiom,
~ product1(e_1,e_2,e_2) ).
cnf(u225,axiom,
~ product1(e_1,e_2,e_3) ).
cnf(u261,axiom,
~ product1(e_2,e_1,e_1) ).
cnf(u265,axiom,
~ product1(e_2,e_1,e_2) ).
cnf(u270,axiom,
product1(e_2,e_1,e_3) ).
cnf(u273,axiom,
~ product1(e_2,e_1,e_4) ).
cnf(u278,axiom,
~ product1(e_2,e_4,e_2) ).
cnf(u282,axiom,
~ product1(e_2,e_4,e_4) ).
cnf(u286,axiom,
~ product1(e_2,e_4,e_3) ).
cnf(u291,axiom,
product1(e_2,e_4,e_1) ).
cnf(u295,axiom,
~ product1(e_2,e_3,e_2) ).
cnf(u299,axiom,
~ product1(e_2,e_3,e_1) ).
cnf(u304,axiom,
product1(e_2,e_3,e_4) ).
cnf(u335,axiom,
~ product1(e_3,e_4,e_4) ).
cnf(u340,axiom,
product1(e_3,e_4,e_2) ).
cnf(u343,axiom,
~ product1(e_3,e_4,e_3) ).
cnf(u347,axiom,
~ product1(e_3,e_4,e_1) ).
cnf(u352,axiom,
~ product1(e_3,e_2,e_4) ).
cnf(u356,axiom,
~ product1(e_3,e_2,e_2) ).
cnf(u360,axiom,
~ product1(e_3,e_2,e_3) ).
cnf(u365,axiom,
product1(e_3,e_2,e_1) ).
cnf(u369,axiom,
~ product1(e_3,e_1,e_3) ).
cnf(u373,axiom,
~ product1(e_3,e_1,e_2) ).
cnf(u377,axiom,
~ product1(e_3,e_1,e_1) ).
cnf(u382,axiom,
product1(e_3,e_1,e_4) ).
cnf(u410,axiom,
product1(e_4,e_1,e_2) ).
cnf(u427,axiom,
product1(e_4,e_3,e_1) ).
cnf(u443,axiom,
~ product1(e_4,e_2,e_2) ).
cnf(u448,axiom,
product1(e_4,e_2,e_3) ).
cnf(u487,axiom,
~ product2(e_3,e_1,e_4) ).
cnf(u491,axiom,
~ product2(e_3,e_1,e_1) ).
cnf(u495,axiom,
~ product2(e_3,e_1,e_3) ).
cnf(u500,axiom,
product2(e_3,e_1,e_2) ).
cnf(u504,axiom,
~ product2(e_2,e_1,e_3) ).
cnf(u508,axiom,
~ product2(e_2,e_1,e_1) ).
cnf(u512,axiom,
~ product2(e_2,e_1,e_2) ).
cnf(u517,axiom,
product2(e_2,e_1,e_4) ).
cnf(u521,axiom,
~ product2(e_4,e_1,e_1) ).
cnf(u525,axiom,
~ product2(e_4,e_1,e_4) ).
cnf(u530,axiom,
product2(e_4,e_1,e_3) ).
cnf(u533,axiom,
~ product2(e_4,e_1,e_2) ).
cnf(u542,axiom,
~ product2(e_4,e_2,e_3) ).
cnf(u546,axiom,
~ product2(e_4,e_2,e_4) ).
cnf(u551,axiom,
product2(e_4,e_2,e_1) ).
cnf(u554,axiom,
~ product2(e_4,e_2,e_2) ).
cnf(u559,axiom,
~ product2(e_3,e_2,e_3) ).
cnf(u563,axiom,
~ product2(e_3,e_2,e_1) ).
cnf(u568,axiom,
product2(e_3,e_2,e_4) ).
cnf(u576,axiom,
~ product2(e_1,e_2,e_4) ).
cnf(u580,axiom,
~ product2(e_1,e_2,e_2) ).
cnf(u585,axiom,
product2(e_1,e_2,e_3) ).
cnf(u588,axiom,
~ product2(e_1,e_2,e_1) ).
cnf(u617,axiom,
product2(e_2,e_3,e_1) ).
cnf(u620,axiom,
~ product2(e_2,e_3,e_2) ).
cnf(u624,axiom,
~ product2(e_2,e_3,e_4) ).
cnf(u633,axiom,
~ product2(e_4,e_3,e_3) ).
cnf(u637,axiom,
~ product2(e_4,e_3,e_1) ).
cnf(u642,axiom,
product2(e_4,e_3,e_2) ).
cnf(u650,axiom,
~ product2(e_1,e_3,e_3) ).
cnf(u654,axiom,
~ product2(e_1,e_3,e_1) ).
cnf(u658,axiom,
~ product2(e_1,e_3,e_2) ).
cnf(u663,axiom,
product2(e_1,e_3,e_4) ).
cnf(u699,axiom,
~ product2(e_3,e_4,e_2) ).
cnf(u704,axiom,
product2(e_3,e_4,e_1) ).
cnf(u716,axiom,
~ product2(e_1,e_4,e_3) ).
cnf(u720,axiom,
~ product2(e_1,e_4,e_4) ).
cnf(u724,axiom,
~ product2(e_1,e_4,e_1) ).
cnf(u729,axiom,
product2(e_1,e_4,e_2) ).
cnf(u733,axiom,
~ product2(e_2,e_4,e_4) ).
cnf(u737,axiom,
~ product2(e_2,e_4,e_2) ).
cnf(u742,axiom,
product2(e_2,e_4,e_3) ).
cnf(u830,axiom,
~ next(e_1,e_3) ).
cnf(u835,axiom,
~ next(e_1,e_1) ).
cnf(u838,axiom,
( ~ greater(X0,e_0)
| ~ cycle(e_0,X0) ) ).
cnf(u844,axiom,
~ next(e_1,e_4) ).
cnf(u1330,axiom,
~ cycle(e_1,e_4) ).
cnf(u1356,axiom,
~ cycle(e_0,e_2) ).
cnf(u1364,axiom,
~ cycle(e_0,e_3) ).
cnf(u1372,axiom,
~ cycle(e_0,e_4) ).
cnf(u1380,axiom,
~ cycle(e_0,e_1) ).
cnf(u1399,axiom,
~ greater(e_0,e_0) ).
cnf(u1428,axiom,
~ next(e_2,e_1) ).
cnf(u1431,axiom,
( ~ greater(X0,e_0)
| ~ cycle(e_1,X0) ) ).
cnf(u1436,axiom,
~ next(e_2,e_4) ).
cnf(u1441,axiom,
~ next(e_2,e_2) ).
cnf(u1456,axiom,
~ cycle(e_3,e_4) ).
cnf(product2_idempotence,axiom,
product2(X0,X0,X0) ).
cnf(u1188,axiom,
( ~ product2(e_4,e_3,X2)
| equalish(e_2,X2) ) ).
cnf(u1179,axiom,
( ~ product2(e_4,e_2,X2)
| equalish(e_1,X2) ) ).
cnf(u1251,axiom,
( ~ product2(e_4,e_1,X2)
| equalish(e_3,X2) ) ).
cnf(u1250,axiom,
( ~ product2(e_4,X1,e_3)
| equalish(X1,e_1) ) ).
cnf(u1187,axiom,
( ~ product2(e_4,X1,e_2)
| equalish(X1,e_3) ) ).
cnf(u1178,axiom,
( ~ product2(e_4,X1,e_1)
| equalish(X1,e_2) ) ).
cnf(u1191,axiom,
( ~ product2(e_3,e_4,X2)
| equalish(e_1,X2) ) ).
cnf(u1182,axiom,
( ~ product2(e_3,e_2,X2)
| equalish(e_4,X2) ) ).
cnf(u1199,axiom,
( ~ product2(e_3,e_1,X2)
| equalish(e_2,X2) ) ).
cnf(u1198,axiom,
( ~ product2(e_3,X1,e_2)
| equalish(X1,e_1) ) ).
cnf(u1190,axiom,
( ~ product2(e_3,X1,e_1)
| equalish(X1,e_4) ) ).
cnf(u1181,axiom,
( ~ product2(e_3,X1,e_4)
| equalish(X1,e_2) ) ).
cnf(u819,axiom,
( ~ product2(e_2,e_4,X2)
| equalish(e_3,X2) ) ).
cnf(u1258,axiom,
( ~ product2(e_2,e_3,X2)
| equalish(e_1,X2) ) ).
cnf(u1202,axiom,
( ~ product2(e_2,e_1,X2)
| equalish(e_4,X2) ) ).
cnf(u1257,axiom,
( ~ product2(e_2,X1,e_1)
| equalish(X1,e_3) ) ).
cnf(u1201,axiom,
( ~ product2(e_2,X1,e_4)
| equalish(X1,e_1) ) ).
cnf(u818,axiom,
( ~ product2(e_2,X1,e_3)
| equalish(X1,e_4) ) ).
cnf(u1121,axiom,
( ~ product2(e_1,e_4,X2)
| equalish(e_2,X2) ) ).
cnf(u1129,axiom,
( ~ product2(e_1,e_3,X2)
| equalish(e_4,X2) ) ).
cnf(u1185,axiom,
( ~ product2(e_1,e_2,X2)
| equalish(e_3,X2) ) ).
cnf(u1184,axiom,
( ~ product2(e_1,X1,e_3)
| equalish(X1,e_2) ) ).
cnf(u1128,axiom,
( ~ product2(e_1,X1,e_4)
| equalish(X1,e_3) ) ).
cnf(u1120,axiom,
( ~ product2(e_1,X1,e_2)
| equalish(X1,e_4) ) ).
cnf(u1189,axiom,
( ~ product2(X0,e_4,e_1)
| equalish(e_3,X0) ) ).
cnf(u1119,axiom,
( ~ product2(X0,e_4,e_2)
| equalish(e_1,X0) ) ).
cnf(u817,axiom,
( ~ product2(X0,e_4,e_3)
| equalish(e_2,X0) ) ).
cnf(u1256,axiom,
( ~ product2(X0,e_3,e_1)
| equalish(e_2,X0) ) ).
cnf(u1186,axiom,
( ~ product2(X0,e_3,e_2)
| equalish(e_4,X0) ) ).
cnf(u1127,axiom,
( ~ product2(X0,e_3,e_4)
| equalish(e_1,X0) ) ).
cnf(u1183,axiom,
( ~ product2(X0,e_2,e_3)
| equalish(e_1,X0) ) ).
cnf(u1180,axiom,
( ~ product2(X0,e_2,e_4)
| equalish(e_3,X0) ) ).
cnf(u1177,axiom,
( ~ product2(X0,e_2,e_1)
| equalish(e_4,X0) ) ).
cnf(u1249,axiom,
( ~ product2(X0,e_1,e_3)
| equalish(e_4,X0) ) ).
cnf(u1200,axiom,
( ~ product2(X0,e_1,e_4)
| equalish(e_2,X0) ) ).
cnf(u1197,axiom,
( ~ product2(X0,e_1,e_2)
| equalish(e_3,X0) ) ).
cnf(u63,axiom,
( ~ product2(X0,X1,X1)
| equalish(X1,X0) ) ).
cnf(u61,axiom,
( ~ product2(X0,X1,X0)
| equalish(X1,X0) ) ).
cnf(product2_total_function2,axiom,
( ~ product2(X0,X1,X3)
| equalish(X3,X2)
| ~ product2(X0,X1,X2) ) ).
cnf(product2_right_cancellation,axiom,
( ~ product2(X0,X2,X1)
| ~ product2(X0,X3,X1)
| equalish(X3,X2) ) ).
cnf(product2_left_cancellation,axiom,
( ~ product2(X3,X1,X0)
| ~ product2(X2,X1,X0)
| equalish(X3,X2) ) ).
cnf(u59,axiom,
( ~ product2(X0,X0,X1)
| equalish(X0,X1) ) ).
cnf(product1_idempotence,axiom,
product1(X0,X0,X0) ).
cnf(u678,axiom,
( ~ product1(e_4,X1,e_3)
| equalish(X1,e_2) ) ).
cnf(u607,axiom,
( ~ product1(e_4,X1,e_2)
| equalish(X1,e_1) ) ).
cnf(u666,axiom,
( ~ product1(e_4,X1,e_1)
| equalish(X1,e_3) ) ).
cnf(u679,axiom,
( ~ product1(e_4,e_2,X2)
| equalish(X2,e_3) ) ).
cnf(u667,axiom,
( ~ product1(e_4,e_3,X2)
| equalish(X2,e_1) ) ).
cnf(u608,axiom,
( ~ product1(e_4,e_1,X2)
| equalish(X2,e_2) ) ).
cnf(u1232,axiom,
( ~ product1(e_3,e_4,X2)
| equalish(X2,e_2) ) ).
cnf(u992,axiom,
( ~ product1(e_3,e_2,X2)
| equalish(X2,e_1) ) ).
cnf(u970,axiom,
( ~ product1(e_3,e_1,X2)
| equalish(X2,e_4) ) ).
cnf(u1231,axiom,
( ~ product1(e_3,X1,e_2)
| equalish(X1,e_4) ) ).
cnf(u991,axiom,
( ~ product1(e_3,X1,e_1)
| equalish(X1,e_2) ) ).
cnf(u969,axiom,
( ~ product1(e_3,X1,e_4)
| equalish(X1,e_1) ) ).
cnf(u933,axiom,
( ~ product1(e_2,e_4,X2)
| equalish(X2,e_1) ) ).
cnf(u921,axiom,
( ~ product1(e_2,e_3,X2)
| equalish(X2,e_4) ) ).
cnf(u1218,axiom,
( ~ product1(e_2,e_1,X2)
| equalish(X2,e_3) ) ).
cnf(u1217,axiom,
( ~ product1(e_2,X1,e_3)
| equalish(X1,e_1) ) ).
cnf(u932,axiom,
( ~ product1(e_2,X1,e_1)
| equalish(X1,e_4) ) ).
cnf(u920,axiom,
( ~ product1(e_2,X1,e_4)
| equalish(X1,e_3) ) ).
cnf(u929,axiom,
( ~ product1(e_1,e_4,X2)
| equalish(X2,e_3) ) ).
cnf(u1210,axiom,
( ~ product1(e_1,e_3,X2)
| equalish(X2,e_2) ) ).
cnf(u1006,axiom,
( ~ product1(e_1,e_2,X2)
| equalish(X2,e_4) ) ).
cnf(u1209,axiom,
( ~ product1(e_1,X1,e_2)
| equalish(X1,e_3) ) ).
cnf(u1005,axiom,
( ~ product1(e_1,X1,e_4)
| equalish(X1,e_2) ) ).
cnf(u928,axiom,
( ~ product1(e_1,X1,e_3)
| equalish(X1,e_4) ) ).
cnf(u1230,axiom,
( ~ product1(X0,e_4,e_2)
| equalish(e_3,X0) ) ).
cnf(u934,negated_conjecture,
( ~ product1(X3,e_4,e_2)
| product2(e_1,X3,e_4) ) ).
cnf(u931,axiom,
( ~ product1(X0,e_4,e_1)
| equalish(e_2,X0) ) ).
cnf(u930,negated_conjecture,
( ~ product1(X3,e_4,e_1)
| product2(e_3,X3,e_4) ) ).
cnf(u927,axiom,
( ~ product1(X0,e_4,e_3)
| equalish(e_1,X0) ) ).
cnf(u1233,negated_conjecture,
( ~ product1(X3,e_4,e_3)
| product2(e_2,X3,e_4) ) ).
cnf(u1208,axiom,
( ~ product1(X0,e_3,e_2)
| equalish(e_1,X0) ) ).
cnf(u922,negated_conjecture,
( ~ product1(X3,e_3,e_2)
| product2(e_4,X3,e_3) ) ).
cnf(u919,axiom,
( ~ product1(X0,e_3,e_4)
| equalish(e_2,X0) ) ).
cnf(u668,negated_conjecture,
( ~ product1(X3,e_3,e_4)
| product2(e_1,X3,e_3) ) ).
cnf(u665,axiom,
( ~ product1(X0,e_3,e_1)
| equalish(e_4,X0) ) ).
cnf(u1211,negated_conjecture,
( ~ product1(X3,e_3,e_1)
| product2(e_2,X3,e_3) ) ).
cnf(u1004,axiom,
( ~ product1(X0,e_2,e_4)
| equalish(e_1,X0) ) ).
cnf(u680,negated_conjecture,
( ~ product1(X3,e_2,e_4)
| product2(e_3,X3,e_2) ) ).
cnf(u990,axiom,
( ~ product1(X0,e_2,e_1)
| equalish(e_3,X0) ) ).
cnf(u1007,negated_conjecture,
( ~ product1(X3,e_2,e_1)
| product2(e_4,X3,e_2) ) ).
cnf(u677,axiom,
( ~ product1(X0,e_2,e_3)
| equalish(e_4,X0) ) ).
cnf(u993,negated_conjecture,
( ~ product1(X3,e_2,e_3)
| product2(e_1,X3,e_2) ) ).
cnf(u1216,axiom,
( ~ product1(X0,e_1,e_3)
| equalish(e_2,X0) ) ).
cnf(u971,negated_conjecture,
( ~ product1(X3,e_1,e_3)
| product2(e_4,X3,e_1) ) ).
cnf(u968,axiom,
( ~ product1(X0,e_1,e_4)
| equalish(e_3,X0) ) ).
cnf(u609,negated_conjecture,
( ~ product1(X3,e_1,e_4)
| product2(e_2,X3,e_1) ) ).
cnf(u606,axiom,
( ~ product1(X0,e_1,e_2)
| equalish(e_4,X0) ) ).
cnf(u1219,negated_conjecture,
( ~ product1(X3,e_1,e_2)
| product2(e_3,X3,e_1) ) ).
cnf(u55,axiom,
( ~ product1(X0,X1,X0)
| equalish(X1,X0) ) ).
cnf(u49,negated_conjecture,
( ~ product1(X0,X1,X1)
| product2(X1,X0,X1) ) ).
cnf(u57,axiom,
( ~ product1(X0,X1,X1)
| equalish(X1,X0) ) ).
cnf(qg1a,negated_conjecture,
( ~ product1(X4,X1,X5)
| ~ product1(X0,X1,X4)
| product2(X5,X0,X1) ) ).
cnf(product1_total_function2,axiom,
( ~ product1(X0,X1,X2)
| equalish(X3,X2)
| ~ product1(X0,X1,X3) ) ).
cnf(product1_right_cancellation,axiom,
( ~ product1(X0,X2,X1)
| ~ product1(X0,X3,X1)
| equalish(X3,X2) ) ).
cnf(product1_left_cancellation,axiom,
( ~ product1(X3,X1,X0)
| ~ product1(X2,X1,X0)
| equalish(X3,X2) ) ).
cnf(u50,axiom,
( ~ product1(X1,X1,X0)
| equalish(X0,X1) ) ).
cnf(element_4,axiom,
group_element(e_4) ).
cnf(element_3,axiom,
group_element(e_3) ).
cnf(element_2,axiom,
group_element(e_2) ).
cnf(element_1,axiom,
group_element(e_1) ).
cnf(u129,axiom,
( ~ group_element(X3)
| product2(X3,e_4,e_2)
| product2(X3,e_4,e_3)
| product2(X3,e_4,e_4)
| product2(X3,e_4,e_1) ) ).
cnf(u128,axiom,
( ~ group_element(X2)
| product2(X2,e_3,e_2)
| product2(X2,e_3,e_4)
| product2(X2,e_3,e_3)
| product2(X2,e_3,e_1) ) ).
cnf(u127,axiom,
( ~ group_element(X1)
| product2(X1,e_2,e_2)
| product2(X1,e_2,e_4)
| product2(X1,e_2,e_3)
| product2(X1,e_2,e_1) ) ).
cnf(u126,axiom,
( ~ group_element(X0)
| product2(X0,e_1,e_4)
| product2(X0,e_1,e_2)
| product2(X0,e_1,e_1)
| product2(X0,e_1,e_3) ) ).
cnf(u124,axiom,
( ~ group_element(X3)
| product1(e_4,X3,e_4)
| product1(e_4,X3,e_2)
| product1(e_4,X3,e_1)
| product1(e_4,X3,e_3) ) ).
cnf(u123,axiom,
( ~ group_element(X2)
| product1(e_3,X2,e_2)
| product1(e_3,X2,e_3)
| product1(e_3,X2,e_4)
| product1(e_3,X2,e_1) ) ).
cnf(u122,axiom,
( ~ group_element(X1)
| product1(e_2,X1,e_2)
| product1(e_2,X1,e_1)
| product1(e_2,X1,e_4)
| product1(e_2,X1,e_3) ) ).
cnf(u121,axiom,
( ~ group_element(X0)
| product1(e_1,X0,e_1)
| product1(e_1,X0,e_4)
| product1(e_1,X0,e_3)
| product1(e_1,X0,e_2) ) ).
cnf(product2_total_function1,axiom,
( ~ group_element(X1)
| ~ group_element(X0)
| product2(X0,X1,e_3)
| product2(X0,X1,e_4)
| product2(X0,X1,e_2)
| product2(X0,X1,e_1) ) ).
cnf(product1_total_function1,axiom,
( ~ group_element(X0)
| product1(X0,X1,e_1)
| product1(X0,X1,e_3)
| ~ group_element(X1)
| product1(X0,X1,e_4)
| product1(X0,X1,e_2) ) ).
cnf(cycle2,axiom,
( ~ group_element(X0)
| cycle(X0,e_3)
| cycle(X0,e_0)
| cycle(X0,e_2)
| cycle(X0,e_1) ) ).
cnf(u51,axiom,
equalish(X0,X0) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4) ).
cnf(e_2_is_not_e_3,axiom,
~ equalish(e_2,e_3) ).
cnf(e_2_is_not_e_1,axiom,
~ equalish(e_2,e_1) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2) ).
cnf(cycle3,axiom,
cycle(e_4,e_0) ).
cnf(u53,axiom,
( ~ cycle(e_4,X0)
| equalish(e_0,X0) ) ).
cnf(u1477,axiom,
( ~ cycle(e_3,X2)
| equalish(e_0,X2) ) ).
cnf(u1507,axiom,
~ cycle(e_2,e_4) ).
cnf(u135,axiom,
( ~ cycle(e_2,X5)
| ~ cycle(e_1,X3)
| equalish(X3,X4)
| ~ next(X5,X4)
| ~ greater(X3,e_0) ) ).
cnf(u136,axiom,
( ~ cycle(e_2,X6)
| ~ cycle(e_3,X8)
| ~ greater(X6,e_0)
| ~ next(X8,X7)
| equalish(X6,X7) ) ).
cnf(u1395,axiom,
( ~ cycle(e_2,X5)
| equalish(e_0,X5) ) ).
cnf(u125,axiom,
( ~ cycle(e_1,X0)
| equalish(e_0,X0) ) ).
cnf(u1467,axiom,
( ~ cycle(e_1,X0)
| equalish(X0,e_1)
| ~ greater(X0,e_0) ) ).
cnf(cycle1,axiom,
( ~ cycle(X0,X1)
| ~ cycle(X0,X2)
| equalish(X1,X2) ) ).
cnf(u171,axiom,
( ~ cycle(X2,X1)
| ~ cycle(e_0,X0)
| ~ greater(X0,X1)
| ~ next(e_1,X2) ) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3) ).
cnf(e_4_greater_e_2,axiom,
greater(e_4,e_2) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2) ).
cnf(e_4_greater_e_1,axiom,
greater(e_4,e_1) ).
cnf(e_3_greater_e_1,axiom,
greater(e_3,e_1) ).
cnf(e_2_greater_e_1,axiom,
greater(e_2,e_1) ).
cnf(e_4_greater_e_0,axiom,
greater(e_4,e_0) ).
cnf(e_3_greater_e_0,axiom,
greater(e_3,e_0) ).
cnf(e_2_greater_e_0,axiom,
greater(e_2,e_0) ).
cnf(e_1_greater_e_0,axiom,
greater(e_1,e_0) ).
cnf(u134,axiom,
( ~ greater(X0,e_0)
| ~ next(X2,X1)
| equalish(X0,X1)
| ~ cycle(e_0,X0)
| ~ cycle(e_1,X2) ) ).
cnf(u137,axiom,
( ~ greater(X9,e_0)
| ~ cycle(e_3,X9)
| ~ cycle(e_4,X11)
| equalish(X9,X10)
| ~ next(X11,X10) ) ).
cnf(cycle5,axiom,
( ~ greater(X1,X0)
| ~ greater(X4,X5)
| ~ cycle(X0,X4)
| ~ cycle(X3,X5)
| ~ next(X1,X3)
| ~ cycle(X1,e_0) ) ).
cnf(u172,axiom,
( ~ greater(X18,X19)
| ~ next(e_4,X20)
| ~ cycle(X20,X19)
| ~ cycle(e_1,X18) ) ).
cnf(u1496,axiom,
( ~ greater(X0,X1)
| ~ cycle(e_4,X1)
| ~ cycle(e_2,X0) ) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4) ).
cnf(e_2_then_e_3,axiom,
next(e_2,e_3) ).
cnf(e_1_then_e_2,axiom,
next(e_1,e_2) ).
cnf(e_0_then_e_1,axiom,
next(e_0,e_1) ).
cnf(u148,axiom,
( ~ next(e_4,X11)
| ~ greater(X9,X10)
| ~ cycle(X11,X10)
| ~ cycle(e_0,X9) ) ).
cnf(u157,axiom,
( ~ next(e_4,X26)
| ~ cycle(X26,X25)
| ~ cycle(e_2,X24)
| ~ greater(X24,X25) ) ).
cnf(u158,axiom,
( ~ next(e_4,X29)
| ~ cycle(X29,X28)
| ~ cycle(e_3,X27)
| ~ greater(X27,X28) ) ).
cnf(u1393,axiom,
( ~ next(e_0,X3)
| ~ greater(X2,e_0)
| equalish(X2,X3)
| ~ cycle(e_1,X2) ) ).
cnf(cycle4,axiom,
( ~ next(X0,X3)
| ~ cycle(X0,X1)
| ~ greater(X1,e_0)
| equalish(X1,X4)
| ~ next(X2,X4)
| ~ cycle(X3,X2) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP123-8.004 : TPTP v8.1.0. Released v1.2.0.
% 0.08/0.13 % Command : vampire --input_syntax tptp --proof tptp --output_axiom_names on --mode portfolio --schedule snake_tptp_sat --cores 0 -t %d %s
% 0.14/0.34 % Computer : n009.cluster.edu
% 0.14/0.34 % Model : x86_64 x86_64
% 0.14/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.34 % Memory : 8042.1875MB
% 0.14/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.34 % CPULimit : 300
% 0.14/0.34 % WCLimit : 300
% 0.14/0.34 % DateTime : Mon Aug 29 22:10:20 EDT 2022
% 0.14/0.34 % CPUTime :
% 0.19/0.46 % (10857)dis+10_1:1_fsd=on:sp=occurrence:i=7:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/7Mi)
% 0.19/0.47 % (10865)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=75:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/75Mi)
% 0.19/0.48 % (10857)Instruction limit reached!
% 0.19/0.48 % (10857)------------------------------
% 0.19/0.48 % (10857)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.48 % (10857)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.48 % (10857)Termination reason: Unknown
% 0.19/0.48 % (10857)Termination phase: Saturation
% 0.19/0.48
% 0.19/0.48 % (10857)Memory used [KB]: 5500
% 0.19/0.48 % (10857)Time elapsed: 0.071 s
% 0.19/0.48 % (10857)Instructions burned: 7 (million)
% 0.19/0.48 % (10857)------------------------------
% 0.19/0.48 % (10857)------------------------------
% 0.19/0.51 % (10855)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=48:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/48Mi)
% 0.19/0.52 % (10858)dis+2_1:64_add=large:bce=on:bd=off:i=2:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/2Mi)
% 0.19/0.52 % (10872)dis+21_1:1_av=off:er=filter:slsq=on:slsqc=0:slsqr=1,1:sp=frequency:to=lpo:i=498:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/498Mi)
% 0.19/0.52 % (10858)Instruction limit reached!
% 0.19/0.52 % (10858)------------------------------
% 0.19/0.52 % (10858)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 0.19/0.52 % (10858)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 0.19/0.52 % (10858)Termination reason: Unknown
% 0.19/0.52 % (10858)Termination phase: Saturation
% 0.19/0.52
% 0.19/0.52 % (10858)Memory used [KB]: 5500
% 0.19/0.52 % (10858)Time elapsed: 0.126 s
% 0.19/0.52 % (10858)Instructions burned: 3 (million)
% 0.19/0.52 % (10858)------------------------------
% 0.19/0.52 % (10858)------------------------------
% 0.19/0.52 % (10854)ott+33_1:4_s2a=on:tgt=ground:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 0.19/0.52 % (10852)ott+4_1:1_av=off:bd=off:nwc=5.0:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=37:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/37Mi)
% 1.28/0.52 % (10864)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.28/0.52 % (10862)ott+10_1:28_bd=off:bs=on:tgt=ground:i=101:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/101Mi)
% 1.28/0.52 % (10853)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.52 % (10851)ott+10_1:32_abs=on:br=off:urr=ec_only:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.28/0.52 % (10879)ott+10_7:2_awrs=decay:awrsf=8:bd=preordered:drc=off:fd=preordered:fde=unused:fsr=off:slsq=on:slsqc=2:slsqr=5,8:sp=const_min:spb=units:to=lpo:i=355:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/355Mi)
% 1.28/0.52 % (10851)Refutation not found, incomplete strategy% (10851)------------------------------
% 1.28/0.52 % (10851)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.28/0.52 % (10851)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.28/0.53 % (10851)Termination reason: Refutation not found, incomplete strategy
% 1.28/0.53
% 1.28/0.53 % (10851)Memory used [KB]: 5373
% 1.28/0.53 % (10851)Time elapsed: 0.136 s
% 1.28/0.53 % (10851)Instructions burned: 2 (million)
% 1.28/0.53 % (10851)------------------------------
% 1.28/0.53 % (10851)------------------------------
% 1.28/0.53 % (10860)ott+2_1:1_fsr=off:gsp=on:i=50:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/50Mi)
% 1.28/0.53 % (10859)ott-1_1:6_av=off:cond=on:fsr=off:nwc=3.0:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.53 % (10861)ott+10_1:32_bd=off:fsr=off:newcnf=on:tgt=full:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.28/0.53 % (10871)ott+3_1:1_gsp=on:lcm=predicate:i=138:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/138Mi)
% 1.28/0.53 % (10878)ott+33_1:4_s2a=on:tgt=ground:i=439:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/439Mi)
% 1.28/0.53 % (10856)fmb+10_1:1_fmbsr=2.0:nm=4:skr=on:i=51:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/51Mi)
% 1.28/0.53 % (10850)fmb+10_1:1_bce=on:fmbsr=1.5:nm=4:skr=on:i=191324:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/191324Mi)
% 1.28/0.53 % (10873)ott+11_1:1_drc=off:nwc=5.0:slsq=on:slsqc=1:spb=goal_then_units:to=lpo:i=467:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/467Mi)
% 1.28/0.53 Detected maximum model sizes of [5]
% 1.28/0.53 TRYING [1]
% 1.28/0.53 TRYING [2]
% 1.28/0.54 % (10876)ins+10_1:1_awrs=decay:awrsf=30:bsr=unit_only:foolp=on:igrr=8/457:igs=10:igwr=on:nwc=1.5:sp=weighted_frequency:to=lpo:uhcvi=on:i=68:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/68Mi)
% 1.28/0.54 TRYING [3]
% 1.28/0.54 % (10875)ott+10_1:5_bd=off:tgt=full:i=500:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/500Mi)
% 1.28/0.54 % (10877)ott+11_2:3_av=off:fde=unused:nwc=5.0:tgt=ground:i=177:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/177Mi)
% 1.28/0.54 % (10870)ott+10_1:8_bsd=on:fsd=on:lcm=predicate:nwc=5.0:s2a=on:s2at=1.5:spb=goal_then_units:i=176:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/176Mi)
% 1.50/0.54 % (10868)ott+10_1:1_tgt=ground:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.50/0.54 % (10863)ott+10_1:5_bd=off:tgt=full:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.50/0.54 % (10867)fmb+10_1:1_bce=on:i=59:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/59Mi)
% 1.50/0.54 % (10869)ott+4_1:1_av=off:bd=off:nwc=5.0:rp=on:s2a=on:s2at=2.0:slsq=on:slsqc=2:slsql=off:slsqr=1,2:sp=frequency:i=100:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/100Mi)
% 1.50/0.54 Detected maximum model sizes of [5]
% 1.50/0.54 TRYING [1]
% 1.50/0.54 % (10866)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=99:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/99Mi)
% 1.50/0.54 TRYING [2]
% 1.50/0.55 TRYING [3]
% 1.50/0.55 % (10874)ott+10_1:1_kws=precedence:tgt=ground:i=482:si=on:rawr=on:rtra=on_0 on theBenchmark for (2999ds/482Mi)
% 1.50/0.55 % (10865)Instruction limit reached!
% 1.50/0.55 % (10865)------------------------------
% 1.50/0.55 % (10865)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.55 Detected maximum model sizes of [5]
% 1.50/0.55 TRYING [1]
% 1.50/0.55 TRYING [2]
% 1.50/0.55 % (10865)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.55 % (10865)Termination reason: Unknown
% 1.50/0.55 % (10865)Termination phase: Saturation
% 1.50/0.55
% 1.50/0.55 % (10865)Memory used [KB]: 1151
% 1.50/0.55 % (10865)Time elapsed: 0.154 s
% 1.50/0.55 % (10865)Instructions burned: 75 (million)
% 1.50/0.55 % (10865)------------------------------
% 1.50/0.55 % (10865)------------------------------
% 1.50/0.56 TRYING [3]
% 1.50/0.56 TRYING [4]
% 1.50/0.56 TRYING [4]
% 1.50/0.56 TRYING [4]
% 1.50/0.57 TRYING [5]
% 1.50/0.57 TRYING [5]
% 1.50/0.58 % (10852)Instruction limit reached!
% 1.50/0.58 % (10852)------------------------------
% 1.50/0.58 % (10852)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.58 % (10852)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.58 % (10852)Termination reason: Unknown
% 1.50/0.58 % (10852)Termination phase: Saturation
% 1.50/0.58
% 1.50/0.58 % (10852)Memory used [KB]: 1151
% 1.50/0.58 % (10852)Time elapsed: 0.170 s
% 1.50/0.58 % (10852)Instructions burned: 39 (million)
% 1.50/0.58 % (10852)------------------------------
% 1.50/0.58 % (10852)------------------------------
% 1.50/0.58 TRYING [5]
% 1.50/0.59 % (10878)First to succeed.
% 1.50/0.59 % (10880)dis+34_1:32_abs=on:add=off:bsr=on:gsp=on:sp=weighted_frequency:i=388:si=on:rawr=on:rtra=on_0 on theBenchmark for (2998ds/388Mi)
% 1.50/0.59 % SZS status Satisfiable for theBenchmark
% 1.50/0.59 % (10878)# SZS output start Saturation.
% See solution above
% 1.50/0.60 % (10878)------------------------------
% 1.50/0.60 % (10878)Version: Vampire 4.7 (commit 807e37dd9 on 2022-08-23 09:55:27 +0200)
% 1.50/0.60 % (10878)Linked with Z3 4.8.13.0 f03d756e086f81f2596157241e0decfb1c982299 z3-4.8.4-5390-gf03d756e0
% 1.50/0.60 % (10878)Termination reason: Satisfiable
% 1.50/0.60
% 1.50/0.60 % (10878)Memory used [KB]: 6140
% 1.50/0.60 % (10878)Time elapsed: 0.206 s
% 1.50/0.60 % (10878)Instructions burned: 36 (million)
% 1.50/0.60 % (10878)------------------------------
% 1.50/0.60 % (10878)------------------------------
% 1.50/0.60 % (10849)Success in time 0.246 s
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