%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP128-1.003 : TPTP v9.0.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n020.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 06:26:54 PM UTC 2025
% Result : Unsatisfiable 67.85s 8.94s
% Output : CNFRefutation 67.85s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named qg3)
% Comments :
%------------------------------------------------------------------------------
cnf(13,plain,
( ~ product(X0,X1,X2)
| ~ product(X2,X1,X3)
| product(X0,X2,X3) ),
inference(cnf,[status(esa)],[qg3]) ).
cnf(l0,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_1,e_2,e_3)
| product(e_3,e_1,e_3) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(9,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_3)
| product(X0,X1,e_1)
| product(X0,X1,e_2) ),
inference(cnf,[status(esa)],[product_total_function1]) ).
cnf(l2,plain,
( ~ group_element(e_3)
| ~ group_element(e_2)
| product(e_3,e_2,e_3)
| product(e_3,e_2,e_1)
| product(e_3,e_2,e_2) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l1,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_1,e_2,e_3)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l13,plain,
( ~ product(e_2,e_2,e_3)
| ~ product(e_3,e_2,e_2)
| product(e_2,e_3,e_2) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(11,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf,[status(esa)],[product_right_cancellation]) ).
cnf(l5,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,e_2,e_3)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(10,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_1,e_2)
| ~ product(e_3,e_1,e_3)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(1,plain,
group_element(e_2),
inference(cnf,[status(esa)],[element_2]) ).
cnf(l7,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l14,plain,
( ~ product(e_3,e_2,e_3)
| ~ product(e_3,e_2,e_3)
| product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(8,plain,
~ equalish(e_3,e_2),
inference(cnf,[status(esa)],[e_3_is_not_e_2]) ).
cnf(l12,plain,
~ equalish(e_3,e_2),
inference(instantiation,[status(thm)],[8]) ).
cnf(6,plain,
~ equalish(e_2,e_3),
inference(cnf,[status(esa)],[e_2_is_not_e_3]) ).
cnf(l10,plain,
~ equalish(e_2,e_3),
inference(instantiation,[status(thm)],[6]) ).
cnf(l226,plain,
( ~ product(e_1,e_2,e_1)
| ~ product(e_1,e_1,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(2,plain,
group_element(e_3),
inference(cnf,[status(esa)],[element_3]) ).
cnf(l11,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[2]) ).
cnf(l27,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l48,plain,
( ~ group_element(e_2)
| ~ group_element(e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l4,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_3)
| product(e_1,e_2,e_3) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(0,plain,
group_element(e_1),
inference(cnf,[status(esa)],[element_1]) ).
cnf(l3,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l56,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(5,plain,
~ equalish(e_2,e_1),
inference(cnf,[status(esa)],[e_2_is_not_e_1]) ).
cnf(l227,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[5]) ).
cnf(l371,plain,
( ~ product(e_1,e_2,e_1)
| ~ product(e_1,e_2,e_1)
| product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(12,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf,[status(esa)],[product_left_cancellation]) ).
cnf(l1001,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_3,e_2,e_2)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l17,plain,
( ~ product(e_2,e_3,e_2)
| ~ product(e_2,e_3,e_2)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l18,plain,
( ~ product(e_3,e_3,e_1)
| ~ product(e_1,e_3,e_2)
| product(e_3,e_1,e_2) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l235,plain,
( ~ group_element(e_2)
| ~ group_element(e_2)
| product(e_2,e_2,e_3)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l243,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l1002,plain,
~ equalish(e_2,e_3),
inference(instantiation,[status(thm)],[6]) ).
cnf(l236,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l55,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l946,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(3,plain,
~ equalish(e_1,e_2),
inference(cnf,[status(esa)],[e_1_is_not_e_2]) ).
cnf(l947,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[3]) ).
cnf(l104,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_3,e_2)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l19,plain,
( ~ group_element(e_1)
| ~ group_element(e_3)
| product(e_1,e_3,e_3)
| product(e_1,e_3,e_1)
| product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l20,plain,
( ~ group_element(e_3)
| ~ group_element(e_3)
| product(e_3,e_3,e_3)
| product(e_3,e_3,e_1)
| product(e_3,e_3,e_2) ),
inference(instantiation,[status(thm)],[9]) ).
cnf(l91,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[2]) ).
cnf(l49,plain,
( ~ product(e_3,e_2,e_2)
| ~ product(e_2,e_2,e_1)
| product(e_3,e_2,e_1) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l89,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l438,plain,
( ~ product(e_3,e_3,e_2)
| ~ product(e_3,e_3,e_3)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[10]) ).
cnf(l994,plain,
~ equalish(e_2,e_3),
inference(instantiation,[status(thm)],[6]) ).
cnf(l439,plain,
~ equalish(e_2,e_3),
inference(instantiation,[status(thm)],[6]) ).
cnf(l74,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(4,plain,
~ equalish(e_1,e_3),
inference(cnf,[status(esa)],[e_1_is_not_e_3]) ).
cnf(l90,plain,
~ equalish(e_1,e_3),
inference(instantiation,[status(thm)],[4]) ).
cnf(l81,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[2]) ).
cnf(l265,plain,
( ~ product(e_1,e_2,e_1)
| ~ product(e_2,e_2,e_1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l73,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l88,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_1,e_3)
| product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l75,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[2]) ).
cnf(l451,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_3,e_1)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[11]) ).
cnf(l1034,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_1,e_3)
| product(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l932,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_1,e_3,e_1)
| product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l721,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_1)
| product(e_1,e_2,e_1) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l86,plain,
~ equalish(e_1,e_3),
inference(instantiation,[status(thm)],[4]) ).
cnf(l747,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[3]) ).
cnf(l455,plain,
~ equalish(e_1,e_3),
inference(instantiation,[status(thm)],[4]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l1,l13,l5,l6,l7,l14,l12,l10,l226,l11,l27,l48,l4,l3,l56,l227,l371,l1001,l17,l18,l235,l243,l1002,l236,l55,l946,l947,l104,l19,l20,l91,l49,l89,l438,l994,l439,l74,l90,l81,l265,l73,l88,l75,l451,l1034,l932,l721,l86,l747,l455]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : GRP128-1.003 : TPTP v9.0.0. Released v1.2.0.
% 0.07/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n020.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 14:00:24 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 3
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 5
% 0.12/0.34 % launching worker at depth: 6
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 8
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.35 % launching worker at depth: 10
% 2.39/0.63 % launching worker at depth: 11
% 30.76/4.23 % launching worker at depth: 12
% 67.85/8.94 % SZS status Theorem for theBenchmark
% 67.85/8.94 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------