%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP125-4.003 : TPTP v9.0.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n023.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 06:26:52 PM UTC 2025
% Result : Unsatisfiable 7.51s 1.31s
% Output : CNFRefutation 7.51s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named qg3_1)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X2,X1)
| product(X1,X0,X3) ),
inference(cnf,[status(esa)],[qg3_1]) ).
cnf(l0,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_3,e_1,e_1)
| product(e_1,e_1,e_3) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(17,plain,
product(X0,X0,X0),
inference(cnf,[status(esa)],[product_idempotence]) ).
cnf(l3,plain,
product(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[17]) ).
cnf(l1,plain,
( ~ product(e_1,e_3,e_2)
| ~ product(e_1,e_2,e_3)
| product(e_3,e_1,e_1) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,e_1,X1)
| product(X0,e_2,X1)
| product(X0,e_3,X1) ),
inference(cnf,[status(esa)],[column_surjectivity]) ).
cnf(l9,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_1,e_1,e_2)
| product(e_1,e_2,e_2)
| product(e_1,e_3,e_2) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(14,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf,[status(esa)],[product_total_function2]) ).
cnf(l78,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_1,e_1,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(5,plain,
group_element(e_2),
inference(cnf,[status(esa)],[element_2]) ).
cnf(l97,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[5]) ).
cnf(l6,plain,
( ~ group_element(e_1)
| ~ group_element(e_3)
| product(e_1,e_1,e_3)
| product(e_1,e_2,e_3)
| product(e_1,e_3,e_3) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(16,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf,[status(esa)],[product_left_cancellation]) ).
cnf(l124,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(l103,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(9,plain,
~ equalish(e_2,e_1),
inference(cnf,[status(esa)],[e_2_is_not_e_1]) ).
cnf(l85,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[9]) ).
cnf(l83,plain,
product(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[17]) ).
cnf(6,plain,
group_element(e_3),
inference(cnf,[status(esa)],[element_3]) ).
cnf(l94,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[6]) ).
cnf(l22,plain,
( ~ product(e_1,e_1,e_3)
| ~ product(e_1,e_1,e_1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(11,plain,
~ equalish(e_3,e_1),
inference(cnf,[status(esa)],[e_3_is_not_e_1]) ).
cnf(l33,plain,
~ equalish(e_3,e_1),
inference(instantiation,[status(thm)],[11]) ).
cnf(4,plain,
group_element(e_1),
inference(cnf,[status(esa)],[element_1]) ).
cnf(l90,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[4]) ).
cnf(l140,plain,
product(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[17]) ).
cnf(7,plain,
~ equalish(e_1,e_2),
inference(cnf,[status(esa)],[e_1_is_not_e_2]) ).
cnf(l125,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[7]) ).
cnf(8,plain,
~ equalish(e_1,e_3),
inference(cnf,[status(esa)],[e_1_is_not_e_3]) ).
cnf(l119,plain,
~ equalish(e_1,e_3),
inference(instantiation,[status(thm)],[8]) ).
cnf(l84,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[4]) ).
cnf(l120,plain,
product(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[17]) ).
cnf(l102,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_1,e_3)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l113,plain,
product(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[17]) ).
cnf(l34,plain,
product(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[17]) ).
cnf(l104,plain,
~ equalish(e_1,e_3),
inference(instantiation,[status(thm)],[8]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l1,l9,l78,l97,l6,l124,l103,l85,l83,l94,l22,l33,l90,l140,l125,l119,l84,l120,l102,l113,l34,l104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GRP125-4.003 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.00/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.08/0.29 % Computer : n023.cluster.edu
% 0.08/0.29 % Model : x86_64 x86_64
% 0.08/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.29 % Memory : 8042.1875MB
% 0.08/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.08/0.29 % CPULimit : 300
% 0.08/0.29 % WCLimit : 300
% 0.08/0.29 % DateTime : Sun Jul 20 13:56:51 EDT 2025
% 0.08/0.29 % CPUTime :
% 0.08/0.29 % launching worker at depth: 1
% 0.08/0.29 % launching worker at depth: 3
% 0.08/0.29 % launching worker at depth: 2
% 0.08/0.29 % launching worker at depth: 4
% 0.08/0.29 % launching worker at depth: 6
% 0.08/0.29 % launching worker at depth: 5
% 0.08/0.29 % launching worker at depth: 8
% 0.08/0.29 % launching worker at depth: 7
% 0.13/0.30 % launching worker at depth: 9
% 2.71/0.66 % launching worker at depth: 10
% 7.51/1.31 % SZS status Theorem for theBenchmark
% 7.51/1.31 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------