%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP130-3.003 : TPTP v9.0.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n025.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 : Thu Jul 24 06:26:55 PM UTC 2025
% Result : Unsatisfiable 51.01s 6.72s
% Output : CNFRefutation 51.01s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named qg3)
% Comments :
%------------------------------------------------------------------------------
cnf(29,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X2,X3)
| product(X3,X1,X0) ),
inference(cnf,[status(esa)],[qg3]) ).
cnf(l0,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_2,e_3)
| product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(25,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2)
| product(X0,X1,e_3) ),
inference(cnf,[status(esa)],[product_total_function1]) ).
cnf(l1,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2)
| product(e_1,e_2,e_3) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(28,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf,[status(esa)],[product_left_cancellation]) ).
cnf(l8,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_2,e_1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l215,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(16,plain,
group_element(e_1),
inference(cnf,[status(esa)],[element_1]) ).
cnf(l3,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[16]) ).
cnf(26,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf,[status(esa)],[product_total_function2]) ).
cnf(l6,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,e_3,e_1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(23,plain,
~ equalish(e_3,e_1),
inference(cnf,[status(esa)],[e_3_is_not_e_1]) ).
cnf(l15,plain,
~ equalish(e_3,e_1),
inference(instantiation,[status(thm)],[23]) ).
cnf(l33,plain,
( ~ product(e_3,e_3,e_1)
| ~ product(e_3,e_1,e_3)
| product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l565,plain,
( ~ product(e_1,e_2,e_1)
| ~ product(e_1,e_1,e_3)
| product(e_3,e_2,e_1) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l10,plain,
~ equalish(e_3,e_1),
inference(instantiation,[status(thm)],[23]) ).
cnf(17,plain,
group_element(e_2),
inference(cnf,[status(esa)],[element_2]) ).
cnf(l7,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[17]) ).
cnf(l568,plain,
( ~ group_element(e_1)
| ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l2,plain,
( ~ group_element(e_1)
| ~ group_element(e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2)
| product(e_1,e_3,e_3) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l793,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_1,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(27,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf,[status(esa)],[product_right_cancellation]) ).
cnf(l5,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_3,e_1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(18,plain,
group_element(e_3),
inference(cnf,[status(esa)],[element_3]) ).
cnf(l16,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[18]) ).
cnf(l789,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(19,plain,
~ equalish(e_1,e_2),
inference(cnf,[status(esa)],[e_1_is_not_e_2]) ).
cnf(l906,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[19]) ).
cnf(20,plain,
~ equalish(e_1,e_3),
inference(cnf,[status(esa)],[e_1_is_not_e_3]) ).
cnf(l12,plain,
~ equalish(e_1,e_3),
inference(instantiation,[status(thm)],[20]) ).
cnf(l849,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_1,e_2,e_1)
| product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l799,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[19]) ).
cnf(l13,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_2,e_3,e_3)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l30,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[19]) ).
cnf(l570,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[16]) ).
cnf(l588,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[16]) ).
cnf(l32,plain,
( ~ group_element(e_2)
| ~ group_element(e_3)
| product(e_2,e_3,e_1)
| product(e_2,e_3,e_2)
| product(e_2,e_3,e_3) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l787,plain,
( ~ group_element(e_1)
| ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2)
| product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l53,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[17]) ).
cnf(l40,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[18]) ).
cnf(l841,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[16]) ).
cnf(l1688,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_3,e_2)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l11,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[16]) ).
cnf(l35,plain,
( ~ group_element(e_3)
| ~ group_element(e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_1,e_2)
| product(e_3,e_1,e_3) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l1738,plain,
( ~ group_element(e_2)
| ~ group_element(e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l1686,plain,
( ~ product(e_2,e_3,e_1)
| ~ product(e_3,e_3,e_1)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(22,plain,
~ equalish(e_2,e_3),
inference(cnf,[status(esa)],[e_2_is_not_e_3]) ).
cnf(l1687,plain,
~ equalish(e_2,e_3),
inference(instantiation,[status(thm)],[22]) ).
cnf(l1690,plain,
~ equalish(e_2,e_3),
inference(instantiation,[status(thm)],[22]) ).
cnf(l332,plain,
( ~ product(e_3,e_3,e_1)
| ~ product(e_3,e_1,e_1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l1768,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[17]) ).
cnf(l1720,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_1,e_3,e_3)
| product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l1739,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[17]) ).
cnf(l135,plain,
( ~ product(e_3,e_3,e_2)
| ~ product(e_3,e_1,e_2)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l48,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[18]) ).
cnf(l1769,plain,
( ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_2,e_1)
| product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l1403,plain,
~ equalish(e_3,e_1),
inference(instantiation,[status(thm)],[23]) ).
cnf(l1251,plain,
( ~ product(e_1,e_1,e_3)
| ~ product(e_1,e_3,e_1)
| product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l850,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_1,e_1,e_2)
| product(e_2,e_3,e_1) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l1767,plain,
( ~ product(e_2,e_2,e_3)
| ~ product(e_2,e_3,e_2)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l1449,plain,
( ~ product(e_2,e_3,e_3)
| ~ product(e_2,e_3,e_3)
| product(e_3,e_3,e_2) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l376,plain,
~ equalish(e_3,e_1),
inference(instantiation,[status(thm)],[23]) ).
cnf(l1253,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_2,e_3,e_1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[28]) ).
cnf(l1646,plain,
( ~ product(e_3,e_3,e_1)
| ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_3) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l1788,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[19]) ).
cnf(l77,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[16]) ).
cnf(l843,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[16]) ).
cnf(l1456,plain,
( ~ product(e_3,e_3,e_1)
| ~ product(e_3,e_1,e_2)
| product(e_2,e_3,e_3) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l218,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_2,e_1,e_3)
| product(e_3,e_2,e_2) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l977,plain,
( ~ group_element(e_2)
| ~ group_element(e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2)
| product(e_2,e_1,e_3) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(l1471,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[17]) ).
cnf(l1489,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_1,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l1544,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_2,e_1,e_2)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(21,plain,
~ equalish(e_2,e_1),
inference(cnf,[status(esa)],[e_2_is_not_e_1]) ).
cnf(l1543,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[21]) ).
cnf(l1439,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[16]) ).
cnf(l835,plain,
( ~ product(e_3,e_2,e_2)
| ~ product(e_3,e_2,e_2)
| product(e_2,e_2,e_3) ),
inference(instantiation,[status(thm)],[29]) ).
cnf(l1564,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_2,e_2,e_1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[27]) ).
cnf(l1566,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[19]) ).
cnf(l1406,plain,
( ~ product(e_2,e_2,e_3)
| ~ product(e_2,e_2,e_1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[26]) ).
cnf(l1607,plain,
~ equalish(e_3,e_1),
inference(instantiation,[status(thm)],[23]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l8,l215,l3,l6,l15,l33,l565,l10,l7,l568,l2,l793,l5,l16,l789,l906,l12,l849,l799,l13,l30,l570,l588,l32,l787,l53,l40,l841,l1688,l11,l35,l1738,l1686,l1687,l1690,l332,l1768,l1720,l1739,l135,l48,l1769,l1403,l1251,l850,l1767,l1449,l376,l1253,l1646,l1788,l77,l843,l1456,l218,l977,l1471,l1489,l1544,l1543,l1439,l835,l1564,l1566,l1406,l1607]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP130-3.003 : TPTP v9.0.0. Released v1.2.0.
% 0.07/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n025.cluster.edu
% 0.13/0.34 % Model : x86_64 x86_64
% 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.34 % Memory : 8042.1875MB
% 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.34 % CPULimit : 300
% 0.13/0.34 % WCLimit : 300
% 0.13/0.34 % DateTime : Sun Jul 20 14:04:19 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.35 % launching worker at depth: 1
% 0.13/0.35 % launching worker at depth: 6
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.36 % launching worker at depth: 10
% 2.50/0.64 % launching worker at depth: 11
% 28.22/3.87 % launching worker at depth: 12
% 51.01/6.72 % SZS status Theorem for theBenchmark
% 51.01/6.72 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------