%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : GRP126-2.005 : 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 : n001.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 10:12:45 AM UTC 2026
% Result : Satisfiable 3.95s 1.59s
% Output : Saturation 5.70s
% Verified :
% SZS Type : ERROR: Analysing output (MakeTreeStats fails)
% Comments :
%------------------------------------------------------------------------------
cnf(u68,axiom,
~ product(e_5,e_1,e_5) ).
cnf(u73,axiom,
product(e_5,e_1,e_4) ).
cnf(u76,axiom,
~ product(e_5,e_1,e_3) ).
cnf(u80,axiom,
~ product(e_5,e_1,e_2) ).
cnf(u84,axiom,
~ product(e_5,e_1,e_1) ).
cnf(u90,axiom,
product(e_4,e_1,e_5) ).
cnf(u93,axiom,
~ product(e_4,e_1,e_4) ).
cnf(u97,axiom,
~ product(e_4,e_1,e_3) ).
cnf(u101,axiom,
~ product(e_4,e_1,e_2) ).
cnf(u105,axiom,
~ product(e_4,e_1,e_1) ).
cnf(u110,axiom,
~ product(e_3,e_1,e_5) ).
cnf(u114,axiom,
~ product(e_3,e_1,e_4) ).
cnf(u118,axiom,
~ product(e_3,e_1,e_3) ).
cnf(u123,axiom,
product(e_3,e_1,e_2) ).
cnf(u126,axiom,
~ product(e_3,e_1,e_1) ).
cnf(u131,axiom,
~ product(e_2,e_1,e_5) ).
cnf(u135,axiom,
~ product(e_2,e_1,e_4) ).
cnf(u140,axiom,
product(e_2,e_1,e_3) ).
cnf(u143,axiom,
~ product(e_2,e_1,e_2) ).
cnf(u147,axiom,
~ product(e_2,e_1,e_1) ).
cnf(u184,axiom,
~ product(e_5,e_2,e_5) ).
cnf(u188,axiom,
~ product(e_5,e_2,e_4) ).
cnf(u193,axiom,
product(e_5,e_2,e_3) ).
cnf(u196,axiom,
~ product(e_5,e_2,e_2) ).
cnf(u200,axiom,
~ product(e_5,e_2,e_1) ).
cnf(u205,axiom,
~ product(e_4,e_2,e_5) ).
cnf(u209,axiom,
~ product(e_4,e_2,e_4) ).
cnf(u213,axiom,
~ product(e_4,e_2,e_3) ).
cnf(u217,axiom,
~ product(e_4,e_2,e_2) ).
cnf(u222,axiom,
product(e_4,e_2,e_1) ).
cnf(u227,axiom,
product(e_3,e_2,e_5) ).
cnf(u230,axiom,
~ product(e_3,e_2,e_4) ).
cnf(u234,axiom,
~ product(e_3,e_2,e_3) ).
cnf(u238,axiom,
~ product(e_3,e_2,e_2) ).
cnf(u242,axiom,
~ product(e_3,e_2,e_1) ).
cnf(u247,axiom,
~ product(e_1,e_2,e_5) ).
cnf(u252,axiom,
product(e_1,e_2,e_4) ).
cnf(u255,axiom,
~ product(e_1,e_2,e_3) ).
cnf(u259,axiom,
~ product(e_1,e_2,e_2) ).
cnf(u263,axiom,
~ product(e_1,e_2,e_1) ).
cnf(u396,axiom,
~ product(e_4,e_3,e_5) ).
cnf(u400,axiom,
~ product(e_4,e_3,e_4) ).
cnf(u404,axiom,
~ product(e_4,e_3,e_3) ).
cnf(u409,axiom,
product(e_4,e_3,e_2) ).
cnf(u412,axiom,
~ product(e_4,e_3,e_1) ).
cnf(u417,axiom,
~ product(e_2,e_3,e_5) ).
cnf(u422,axiom,
product(e_2,e_3,e_4) ).
cnf(u425,axiom,
~ product(e_2,e_3,e_3) ).
cnf(u429,axiom,
~ product(e_2,e_3,e_2) ).
cnf(u433,axiom,
~ product(e_2,e_3,e_1) ).
cnf(u439,axiom,
product(e_1,e_3,e_5) ).
cnf(u442,axiom,
~ product(e_1,e_3,e_4) ).
cnf(u446,axiom,
~ product(e_1,e_3,e_3) ).
cnf(u450,axiom,
~ product(e_1,e_3,e_2) ).
cnf(u454,axiom,
~ product(e_1,e_3,e_1) ).
cnf(u535,axiom,
~ product(e_5,e_3,e_5) ).
cnf(u539,axiom,
~ product(e_5,e_3,e_4) ).
cnf(u543,axiom,
~ product(e_5,e_3,e_3) ).
cnf(u552,axiom,
product(e_5,e_3,e_1) ).
cnf(u638,axiom,
~ product(e_3,e_4,e_5) ).
cnf(u642,axiom,
~ product(e_3,e_4,e_4) ).
cnf(u646,axiom,
~ product(e_3,e_4,e_3) ).
cnf(u650,axiom,
~ product(e_3,e_4,e_2) ).
cnf(u655,axiom,
product(e_3,e_4,e_1) ).
cnf(u660,axiom,
product(e_2,e_4,e_5) ).
cnf(u663,axiom,
~ product(e_2,e_4,e_4) ).
cnf(u667,axiom,
~ product(e_2,e_4,e_3) ).
cnf(u671,axiom,
~ product(e_2,e_4,e_2) ).
cnf(u675,axiom,
~ product(e_2,e_4,e_1) ).
cnf(u680,axiom,
~ product(e_1,e_4,e_5) ).
cnf(u689,axiom,
product(e_1,e_4,e_3) ).
cnf(u692,axiom,
~ product(e_1,e_4,e_2) ).
cnf(u802,axiom,
~ product(e_5,e_4,e_5) ).
cnf(u806,axiom,
~ product(e_5,e_4,e_4) ).
cnf(u810,axiom,
~ product(e_5,e_4,e_3) ).
cnf(u815,axiom,
product(e_5,e_4,e_2) ).
cnf(u818,axiom,
~ product(e_5,e_4,e_1) ).
cnf(u874,axiom,
~ product(e_4,e_5,e_5) ).
cnf(u878,axiom,
~ product(e_4,e_5,e_4) ).
cnf(u883,axiom,
product(e_4,e_5,e_3) ).
cnf(u886,axiom,
~ product(e_4,e_5,e_2) ).
cnf(u890,axiom,
~ product(e_4,e_5,e_1) ).
cnf(u895,axiom,
~ product(e_2,e_5,e_5) ).
cnf(u899,axiom,
~ product(e_2,e_5,e_4) ).
cnf(u903,axiom,
~ product(e_2,e_5,e_3) ).
cnf(u907,axiom,
~ product(e_2,e_5,e_2) ).
cnf(u912,axiom,
product(e_2,e_5,e_1) ).
cnf(u916,axiom,
~ product(e_1,e_5,e_5) ).
cnf(u920,axiom,
~ product(e_1,e_5,e_4) ).
cnf(u924,axiom,
~ product(e_1,e_5,e_3) ).
cnf(u929,axiom,
product(e_1,e_5,e_2) ).
cnf(u932,axiom,
~ product(e_1,e_5,e_1) ).
cnf(u1294,axiom,
~ product(e_3,e_5,e_5) ).
cnf(u1299,axiom,
product(e_3,e_5,e_4) ).
cnf(u1302,axiom,
~ product(e_3,e_5,e_3) ).
cnf(u1306,axiom,
~ product(e_3,e_5,e_2) ).
cnf(u1310,axiom,
~ product(e_3,e_5,e_1) ).
cnf(u1837,axiom,
( ~ product(e_1,X0,e_3)
| equalish(X0,e_4) ) ).
cnf(u2132,negated_conjecture,
( ~ product(e_5,e_2,X0)
| product(X0,e_1,e_2) ) ).
cnf(u56,axiom,
( ~ group_element(X0)
| product(X0,e_1,e_1)
| product(X0,e_1,e_2)
| product(X0,e_1,e_3)
| product(X0,e_1,e_4)
| product(X0,e_1,e_5) ) ).
cnf(u50,axiom,
( ~ product(X0,X0,X1)
| equalish(X1,X0) ) ).
cnf(u1495,axiom,
( ~ product(e_3,e_4,X0)
| equalish(X0,e_1) ) ).
cnf(u2140,axiom,
( ~ greater(e_2,X0)
| ~ next(e_3,X0) ) ).
cnf(u1839,negated_conjecture,
( ~ product(e_4,e_1,X0)
| product(X0,e_3,e_1) ) ).
cnf(u1314,axiom,
( ~ product(X0,e_2,e_4)
| equalish(X0,e_1) ) ).
cnf(u1902,axiom,
( ~ product(e_4,e_1,X0)
| equalish(X0,e_5) ) ).
cnf(u2240,axiom,
( ~ product(X0,e_4,e_5)
| equalish(X0,e_2) ) ).
cnf(u2192,negated_conjecture,
( ~ product(e_3,e_2,X0)
| product(X0,e_4,e_2) ) ).
cnf(u49,axiom,
( ~ greater(e_1,X0)
| ~ next(e_1,X0) ) ).
cnf(u52,axiom,
( ~ product(X0,X1,X0)
| equalish(X1,X0) ) ).
cnf(u1752,axiom,
( ~ product(X0,e_3,e_2)
| equalish(X0,e_4) ) ).
cnf(product_right_cancellation,axiom,
( ~ product(X0,X3,X2)
| ~ product(X0,X1,X2)
| equalish(X1,X3) ) ).
cnf(qg4,negated_conjecture,
( ~ product(X1,X0,X3)
| ~ product(X0,X1,X2)
| product(X2,X3,X1) ) ).
cnf(product_idempotence,axiom,
product(X0,X0,X0) ).
cnf(u2109,axiom,
( ~ product(X0,e_2,e_3)
| equalish(X0,e_5) ) ).
cnf(u2057,negated_conjecture,
( ~ product(e_5,e_3,X0)
| product(X0,e_4,e_3) ) ).
cnf(u1732,axiom,
( ~ product(e_2,X0,e_3)
| equalish(X0,e_1) ) ).
cnf(e_3_is_not_e_5,axiom,
~ equalish(e_3,e_5) ).
cnf(e_5_is_not_e_3,axiom,
~ equalish(e_5,e_3) ).
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(u1494,axiom,
( ~ product(e_3,X0,e_1)
| equalish(X0,e_4) ) ).
cnf(e_2_is_not_e_5,axiom,
~ equalish(e_2,e_5) ).
cnf(u2210,negated_conjecture,
( ~ product(e_1,e_5,X0)
| product(X0,e_4,e_5) ) ).
cnf(u2051,negated_conjecture,
( ~ product(e_2,e_3,X0)
| product(X0,e_5,e_3) ) ).
cnf(element_4,axiom,
group_element(e_4) ).
cnf(e_1_is_not_e_3,axiom,
~ equalish(e_1,e_3) ).
cnf(u1496,negated_conjecture,
( ~ product(e_4,e_3,X0)
| product(X0,e_1,e_3) ) ).
cnf(e_1_is_not_e_2,axiom,
~ equalish(e_1,e_2) ).
cnf(e_5_greater_e_1,axiom,
greater(e_5,e_1) ).
cnf(no_redundancy,axiom,
( ~ product(X0,e_1,X1)
| ~ next(X0,X2)
| ~ greater(X1,X2) ) ).
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(u1922,axiom,
( ~ product(X0,e_3,e_1)
| equalish(X0,e_5) ) ).
cnf(u2170,axiom,
( ~ product(X0,e_4,e_2)
| equalish(X0,e_5) ) ).
cnf(u1991,axiom,
( ~ product(e_1,e_3,X0)
| equalish(X0,e_5) ) ).
cnf(u2172,axiom,
( ~ product(e_5,e_4,X0)
| equalish(X0,e_2) ) ).
cnf(u1753,axiom,
( ~ product(e_4,X0,e_2)
| equalish(X0,e_3) ) ).
cnf(u2110,axiom,
( ~ product(e_5,X0,e_3)
| equalish(X0,e_2) ) ).
cnf(u2247,axiom,
( ~ product(e_1,X0,e_2)
| equalish(X0,e_5) ) ).
cnf(u1925,negated_conjecture,
( ~ product(e_3,e_5,X0)
| product(X0,e_1,e_5) ) ).
cnf(u171,axiom,
~ next(e_5,e_2) ).
cnf(u174,axiom,
~ next(e_4,e_2) ).
cnf(u173,axiom,
~ next(e_4,e_1) ).
cnf(u364,axiom,
~ next(e_2,e_2) ).
cnf(u1901,axiom,
( ~ product(e_4,X0,e_5)
| equalish(X0,e_1) ) ).
cnf(e_4_then_e_5,axiom,
next(e_4,e_5) ).
cnf(u2220,axiom,
( ~ product(e_4,X0,e_1)
| equalish(X0,e_2) ) ).
cnf(u2048,axiom,
( ~ product(X0,e_2,e_5)
| equalish(X0,e_3) ) ).
cnf(u2241,axiom,
( ~ product(e_2,X0,e_5)
| equalish(X0,e_4) ) ).
cnf(u1493,axiom,
( ~ product(X0,e_4,e_1)
| equalish(X0,e_3) ) ).
cnf(u2207,axiom,
( ~ product(X0,e_1,e_4)
| equalish(X0,e_5) ) ).
cnf(u2131,axiom,
( ~ product(e_2,e_5,X0)
| equalish(X0,e_1) ) ).
cnf(u1755,negated_conjecture,
( ~ product(e_3,e_4,X0)
| product(X0,e_2,e_4) ) ).
cnf(u58,axiom,
( ~ group_element(X0)
| product(X0,e_3,e_1)
| product(X0,e_3,e_2)
| product(X0,e_3,e_3)
| product(X0,e_3,e_4)
| product(X0,e_3,e_5) ) ).
cnf(u57,axiom,
( ~ group_element(X0)
| product(X0,e_2,e_1)
| product(X0,e_2,e_2)
| product(X0,e_2,e_3)
| product(X0,e_2,e_4)
| product(X0,e_2,e_5) ) ).
cnf(u60,axiom,
( ~ group_element(X0)
| product(X0,e_5,e_1)
| product(X0,e_5,e_2)
| product(X0,e_5,e_3)
| product(X0,e_5,e_4)
| product(X0,e_5,e_5) ) ).
cnf(u51,axiom,
equalish(X0,X0) ).
cnf(u54,axiom,
( ~ product(X0,X1,X1)
| equalish(X0,X1) ) ).
cnf(e_5_is_not_e_4,axiom,
~ equalish(e_5,e_4) ).
cnf(u2190,axiom,
( ~ product(e_2,X0,e_4)
| equalish(X0,e_3) ) ).
cnf(u1900,axiom,
( ~ product(X0,e_1,e_5)
| equalish(X0,e_4) ) ).
cnf(u1731,axiom,
( ~ product(X0,e_1,e_3)
| equalish(X0,e_2) ) ).
cnf(u47,negated_conjecture,
( ~ product(X0,X0,X1)
| product(X1,X0,X0) ) ).
cnf(u2111,axiom,
( ~ product(e_5,e_2,X0)
| equalish(X0,e_3) ) ).
cnf(e_4_is_not_e_2,axiom,
~ equalish(e_4,e_2) ).
cnf(u1992,negated_conjecture,
( ~ product(e_3,e_1,X0)
| product(X0,e_5,e_1) ) ).
cnf(u2196,axiom,
( ~ product(e_4,X0,e_3)
| equalish(X0,e_5) ) ).
cnf(u2189,axiom,
( ~ product(X0,e_3,e_4)
| equalish(X0,e_2) ) ).
cnf(u2141,axiom,
( ~ product(X0,e_1,e_2)
| equalish(X0,e_3) ) ).
cnf(e_4_is_not_e_1,axiom,
~ equalish(e_4,e_1) ).
cnf(u2055,axiom,
( ~ product(e_3,X0,e_4)
| equalish(X0,e_5) ) ).
cnf(u2221,axiom,
( ~ product(e_4,e_2,X0)
| equalish(X0,e_1) ) ).
cnf(e_4_is_not_e_5,axiom,
~ equalish(e_4,e_5) ).
cnf(u2248,axiom,
( ~ product(e_1,e_5,X0)
| equalish(X0,e_2) ) ).
cnf(e_2_is_not_e_4,axiom,
~ equalish(e_2,e_4) ).
cnf(e_3_is_not_e_2,axiom,
~ equalish(e_3,e_2) ).
cnf(u2242,axiom,
( ~ product(e_2,e_4,X0)
| equalish(X0,e_5) ) ).
cnf(e_3_is_not_e_1,axiom,
~ equalish(e_3,e_1) ).
cnf(element_1,axiom,
group_element(e_1) ).
cnf(e_1_is_not_e_4,axiom,
~ equalish(e_1,e_4) ).
cnf(e_4_greater_e_2,axiom,
greater(e_4,e_2) ).
cnf(u2200,axiom,
~ next(e_3,e_1) ).
cnf(e_3_greater_e_2,axiom,
greater(e_3,e_2) ).
cnf(u175,axiom,
~ next(e_4,e_3) ).
cnf(e_4_greater_e_3,axiom,
greater(e_4,e_3) ).
cnf(e_3_then_e_4,axiom,
next(e_3,e_4) ).
cnf(e_3_greater_e_1,axiom,
greater(e_3,e_1) ).
cnf(u2143,axiom,
( ~ product(e_3,e_1,X0)
| equalish(X0,e_2) ) ).
cnf(e_2_greater_e_1,axiom,
greater(e_2,e_1) ).
cnf(u170,axiom,
~ next(e_5,e_1) ).
cnf(u2191,axiom,
( ~ product(e_2,e_3,X0)
| equalish(X0,e_4) ) ).
cnf(u2129,axiom,
( ~ product(X0,e_5,e_1)
| equalish(X0,e_2) ) ).
cnf(u1903,negated_conjecture,
( ~ product(e_1,e_4,X0)
| product(X0,e_5,e_4) ) ).
cnf(u1924,axiom,
( ~ product(e_5,e_3,X0)
| equalish(X0,e_1) ) ).
cnf(u2197,axiom,
( ~ product(e_4,e_5,X0)
| equalish(X0,e_3) ) ).
cnf(u1990,axiom,
( ~ product(e_1,X0,e_5)
| equalish(X0,e_3) ) ).
cnf(u1316,axiom,
( ~ product(e_1,e_2,X0)
| equalish(X0,e_4) ) ).
cnf(u2049,axiom,
( ~ product(e_3,X0,e_5)
| equalish(X0,e_2) ) ).
cnf(u2219,axiom,
( ~ product(X0,e_2,e_1)
| equalish(X0,e_4) ) ).
cnf(u1838,axiom,
( ~ product(e_1,e_4,X0)
| equalish(X0,e_3) ) ).
cnf(u1754,axiom,
( ~ product(e_4,e_3,X0)
| equalish(X0,e_2) ) ).
cnf(u2208,axiom,
( ~ product(e_5,X0,e_4)
| equalish(X0,e_1) ) ).
cnf(u2246,axiom,
( ~ product(X0,e_5,e_2)
| equalish(X0,e_1) ) ).
cnf(u2171,axiom,
( ~ product(e_5,X0,e_2)
| equalish(X0,e_4) ) ).
cnf(u2142,axiom,
( ~ product(e_3,X0,e_2)
| equalish(X0,e_1) ) ).
cnf(u2222,negated_conjecture,
( ~ product(e_2,e_4,X0)
| product(X0,e_1,e_4) ) ).
cnf(u2173,negated_conjecture,
( ~ product(e_4,e_5,X0)
| product(X0,e_2,e_5) ) ).
cnf(u2198,negated_conjecture,
( ~ product(e_5,e_4,X0)
| product(X0,e_3,e_4) ) ).
cnf(u59,axiom,
( ~ group_element(X0)
| product(X0,e_4,e_1)
| product(X0,e_4,e_2)
| product(X0,e_4,e_3)
| product(X0,e_4,e_4)
| product(X0,e_4,e_5) ) ).
cnf(u363,axiom,
~ next(e_2,e_1) ).
cnf(product_total_function2,axiom,
( ~ product(X0,X1,X3)
| ~ product(X0,X1,X2)
| equalish(X2,X3) ) ).
cnf(product_total_function1,axiom,
( ~ group_element(X1)
| ~ group_element(X0)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3)
| product(X0,X1,e_4)
| product(X0,X1,e_5) ) ).
cnf(product_left_cancellation,axiom,
( ~ product(X3,X1,X2)
| ~ product(X0,X1,X2)
| equalish(X0,X3) ) ).
cnf(e_4_is_not_e_3,axiom,
~ equalish(e_4,e_3) ).
cnf(e_5_is_not_e_2,axiom,
~ equalish(e_5,e_2) ).
cnf(u2195,axiom,
( ~ product(X0,e_5,e_3)
| equalish(X0,e_4) ) ).
cnf(e_5_is_not_e_1,axiom,
~ equalish(e_5,e_1) ).
cnf(u2056,axiom,
( ~ product(e_3,e_5,X0)
| equalish(X0,e_4) ) ).
cnf(e_1_is_not_e_5,axiom,
~ equalish(e_1,e_5) ).
cnf(e_3_is_not_e_4,axiom,
~ equalish(e_3,e_4) ).
cnf(u2050,axiom,
( ~ product(e_3,e_2,X0)
| equalish(X0,e_5) ) ).
cnf(element_3,axiom,
group_element(e_3) ).
cnf(u2209,axiom,
( ~ product(e_5,e_1,X0)
| equalish(X0,e_4) ) ).
cnf(element_2,axiom,
group_element(e_2) ).
cnf(u1734,negated_conjecture,
( ~ product(e_1,e_2,X0)
| product(X0,e_3,e_2) ) ).
cnf(u1733,axiom,
( ~ product(e_2,e_1,X0)
| equalish(X0,e_3) ) ).
cnf(u1836,axiom,
( ~ product(X0,e_4,e_3)
| equalish(X0,e_1) ) ).
cnf(u2144,negated_conjecture,
( ~ product(e_1,e_3,X0)
| product(X0,e_2,e_3) ) ).
cnf(u1730,axiom,
( ~ greater(e_3,X0)
| ~ next(e_2,X0) ) ).
cnf(u1315,axiom,
( ~ product(e_1,X0,e_4)
| equalish(X0,e_2) ) ).
cnf(u1317,negated_conjecture,
( ~ product(e_2,e_1,X0)
| product(X0,e_4,e_1) ) ).
cnf(u1899,axiom,
( ~ greater(e_5,X0)
| ~ next(e_4,X0) ) ).
cnf(u1989,axiom,
( ~ product(X0,e_3,e_5)
| equalish(X0,e_1) ) ).
cnf(u2249,negated_conjecture,
( ~ product(e_5,e_1,X0)
| product(X0,e_2,e_1) ) ).
cnf(u2243,negated_conjecture,
( ~ product(e_4,e_2,X0)
| product(X0,e_5,e_2) ) ).
cnf(u176,axiom,
~ next(e_4,e_4) ).
cnf(u2112,negated_conjecture,
( ~ product(e_2,e_5,X0)
| product(X0,e_3,e_5) ) ).
cnf(e_5_greater_e_4,axiom,
greater(e_5,e_4) ).
cnf(element_5,axiom,
group_element(e_5) ).
cnf(u2054,axiom,
( ~ product(X0,e_5,e_4)
| equalish(X0,e_3) ) ).
cnf(e_5_greater_e_2,axiom,
greater(e_5,e_2) ).
cnf(u172,axiom,
~ next(e_5,e_3) ).
cnf(e_5_greater_e_3,axiom,
greater(e_5,e_3) ).
cnf(e_4_greater_e_1,axiom,
greater(e_4,e_1) ).
cnf(u2206,axiom,
( ~ greater(e_4,X0)
| ~ next(e_5,X0) ) ).
cnf(u1923,axiom,
( ~ product(e_5,X0,e_1)
| equalish(X0,e_3) ) ).
cnf(u2130,axiom,
( ~ product(e_2,X0,e_1)
| equalish(X0,e_5) ) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.03 % Problem : GRP126-2.005 : TPTP v9.3.1. Released v1.2.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n001.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.05/0.38 % CPULimit : 300
% 0.05/0.38 % WCLimit : 300
% 0.05/0.38 % DateTime : Sun Sep 27 09:31:00 UTC 2026
% 0.05/0.38 % CPUTime :
% 0.05/0.38 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.05/0.42 Running first-order theorem proving
% 0.05/0.42 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
% 3.95/1.59 % (3291068)Input is clausal, will run a generic CNF schedule.
% 3.95/1.59 % (3291204)dis-21_1_sil=8000:lcm=predicate:random_seed=450376685:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 3.95/1.59 % (3291201)lrs+10_1_sil=8000:sp=occurrence:random_seed=717215447:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 3.95/1.59 % (3291203)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=1992564696:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 3.95/1.59 % (3291199)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=980240027:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 3.95/1.59 % (3291198)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=586648993:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 3.95/1.59 % (3291200)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=2940309711:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 3.95/1.59 % (3291202)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=2276643940:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 3.95/1.59 % (3291204)Instruction limit reached!
% 3.95/1.59 % (3291204)------------------------------
% 3.95/1.59 % (3291204)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.59 % (3291204)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.59 % (3291204)CaDiCaL version: 2.1.3
% 3.95/1.59 % (3291204)Termination reason: Instruction limit
% 3.95/1.59 % (3291204)Termination phase: Saturation
% 3.95/1.59 % (3291204)Time elapsed: 0.042 s
% 3.95/1.59 % (3291204)Peak memory usage: 89 MB
% 3.95/1.59 % (3291204)Instructions burned: 118 (million)
% 3.95/1.59 % (3291201)Instruction limit reached!
% 3.95/1.59 % (3291201)------------------------------
% 3.95/1.59 % (3291201)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.59 % (3291201)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.59 % (3291201)CaDiCaL version: 2.1.3
% 3.95/1.59 % (3291201)Termination reason: Instruction limit
% 3.95/1.59 % (3291201)Termination phase: Saturation
% 3.95/1.59 % (3291201)Time elapsed: 0.060 s
% 3.95/1.59 % (3291201)Peak memory usage: 88 MB
% 3.95/1.59 % (3291201)Instructions burned: 108 (million)
% 3.95/1.59 % (3291202)Instruction limit reached!
% 3.95/1.59 % (3291202)------------------------------
% 3.95/1.59 % (3291202)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.59 % (3291202)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.59 % (3291202)CaDiCaL version: 2.1.3
% 3.95/1.59 % (3291202)Termination reason: Instruction limit
% 3.95/1.59 % (3291202)Termination phase: Saturation
% 3.95/1.59 % (3291202)Time elapsed: 0.060 s
% 3.95/1.59 % (3291202)Peak memory usage: 88 MB
% 3.95/1.59 % (3291202)Instructions burned: 114 (million)
% 3.95/1.59 % (3291203)Instruction limit reached!
% 3.95/1.59 % (3291203)------------------------------
% 3.95/1.59 % (3291203)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.59 % (3291203)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.59 % (3291203)CaDiCaL version: 2.1.3
% 3.95/1.59 % (3291203)Termination reason: Instruction limit
% 3.95/1.59 % (3291203)Termination phase: Saturation
% 3.95/1.59 % (3291203)Time elapsed: 0.109 s
% 3.95/1.59 % (3291203)Peak memory usage: 89 MB
% 3.95/1.59 % (3291203)Instructions burned: 181 (million)
% 3.95/1.59 % (3291212)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=2858601817:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 3.95/1.59 % (3291212)Instruction limit reached!
% 3.95/1.59 % (3291212)------------------------------
% 3.95/1.59 % (3291212)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.59 % (3291212)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.59 % (3291212)CaDiCaL version: 2.1.3
% 3.95/1.59 % (3291212)Termination reason: Instruction limit
% 3.95/1.59 % (3291212)Termination phase: Saturation
% 3.95/1.59 % (3291212)Time elapsed: 0.039 s
% 3.95/1.59 % (3291212)Peak memory usage: 88 MB
% 3.95/1.59 % (3291212)Instructions burned: 143 (million)
% 3.95/1.59 % (3291213)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=4153823376:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 3.95/1.59 % (3291214)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=573419724:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 3.95/1.59 % (3291213)Refutation not found, incomplete strategy
% 3.95/1.59 % (3291213)------------------------------
% 3.95/1.59 % (3291213)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.59 % (3291213)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.59 % (3291213)CaDiCaL version: 2.1.3
% 3.95/1.59 % (3291213)Termination reason: Refutation not found, incomplete strategy
% 3.95/1.59 % (3291213)Time elapsed: 0.002 s
% 3.95/1.59 % (3291213)Peak memory usage: 87 MB
% 3.95/1.59 % (3291213)Instructions burned: 1 (million)
% 3.95/1.59 % (3291215)lrs+10_64_to=lpo:sil=8000:random_seed=536411586:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 3.95/1.59 % (3291217)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=2796175520:avsq=on:i=194:fgj=on:bd=preordered_2996 on theBenchmark for (2996ds/194Mi)
% 3.95/1.59 % (3291215)First to succeed.
% 3.95/1.59 % (3291215)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-3291068"
% 3.95/1.59 % (3291214)Instruction limit reached!
% 3.95/1.59 % (3291214)------------------------------
% 3.95/1.59 % (3291214)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.59 % (3291214)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.59 % (3291214)CaDiCaL version: 2.1.3
% 3.95/1.59 % (3291214)Termination reason: Instruction limit
% 3.95/1.59 % (3291214)Termination phase: Saturation
% 3.95/1.59 % (3291214)Time elapsed: 0.122 s
% 3.95/1.59 % (3291214)Peak memory usage: 88 MB
% 3.95/1.59 % (3291214)Instructions burned: 220 (million)
% 3.95/1.59 % (3291217)Instruction limit reached!
% 3.95/1.59 % (3291217)------------------------------
% 3.95/1.59 % (3291217)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.59 % (3291217)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.59 % (3291217)CaDiCaL version: 2.1.3
% 3.95/1.59 % (3291217)Termination reason: Instruction limit
% 3.95/1.59 % (3291217)Termination phase: Saturation
% 3.95/1.59 % (3291217)Time elapsed: 0.051 s
% 3.95/1.59 % (3291217)Peak memory usage: 88 MB
% 3.95/1.59 % (3291217)Instructions burned: 198 (million)
% 3.95/1.59 % (3291213)------------------------------
% 3.95/1.59 % (3291213)------------------------------
% 3.95/1.59 % (3291222)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3901326486:i=157:gtg=all_2994 on theBenchmark for (2994ds/157Mi)
% 3.95/1.59 % (3291223)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=944580275:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 3.95/1.59 % (3291222)Instruction limit reached!
% 3.95/1.59 % (3291222)------------------------------
% 3.95/1.59 % (3291222)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 3.95/1.59 % (3291222)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 3.95/1.59 % (3291222)CaDiCaL version: 2.1.3
% 3.95/1.59 % (3291222)Termination reason: Instruction limit
% 3.95/1.59 % (3291222)Termination phase: Saturation
% 3.95/1.59 % (3291222)Time elapsed: 0.046 s
% 3.95/1.59 % (3291222)Peak memory usage: 88 MB
% 3.95/1.59 % (3291222)Instructions burned: 161 (million)
% 3.95/1.59 % SZS status Satisfiable for theBenchmark
% 3.95/1.59 % SZS output start Saturation.
% See solution above
% 5.70/1.78 % SZS output start Definitions and Model Updates.
% 5.70/1.78 % SZS output end Definitions and Model Updates.
% 5.70/1.78 % (3291215)------------------------------
% 5.70/1.78 % (3291215)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 5.70/1.78 % (3291215)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 5.70/1.78 % (3291215)CaDiCaL version: 2.1.3
% 5.70/1.78 % (3291215)Termination reason: Satisfiable
% 5.70/1.78 % (3291215)Time elapsed: 0.037 s
% 5.70/1.78 % (3291215)Peak memory usage: 88 MB
% 5.70/1.78 % (3291215)Instructions burned: 57 (million)
% 5.70/1.78 % (3291215)------------------------------
% 5.70/1.78 % (3291215)------------------------------
% 5.70/1.78 % (3291068)Success in time 0.726 s
% 5.70/1.78 % Vampire exiting
%------------------------------------------------------------------------------