%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP123-4.003 : 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 : n031.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 06:26:50 PM UTC 2025
% Result : Unsatisfiable 0.18s 0.45s
% Output : CNFRefutation 0.18s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named qg1_1)
% Comments :
%------------------------------------------------------------------------------
cnf(16,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X1,X0)
| ~ product(X5,X4,X3)
| equalish(X0,X3) ),
inference(cnf,[status(esa)],[qg1_1]) ).
cnf(l0,plain,
( ~ product(e_3,e_2,e_1)
| ~ product(e_2,e_3,e_1)
| ~ product(e_1,e_2,e_3)
| ~ product(e_1,e_3,e_2)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[16]) ).
cnf(11,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_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)],[11]) ).
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(l2,plain,
( ~ group_element(e_3)
| ~ group_element(e_1)
| product(e_3,e_1,e_1)
| product(e_3,e_2,e_1)
| product(e_3,e_3,e_1) ),
inference(instantiation,[status(thm)],[1]) ).
cnf(l3,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)],[11]) ).
cnf(13,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf,[status(esa)],[product_right_cancellation]) ).
cnf(l5,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_2,e_3,e_2)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[13]) ).
cnf(l8,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)],[11]) ).
cnf(15,plain,
product(X0,X0,X0),
inference(cnf,[status(esa)],[product_idempotence]) ).
cnf(l29,plain,
product(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[15]) ).
cnf(3,plain,
group_element(e_2),
inference(cnf,[status(esa)],[element_2]) ).
cnf(l24,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[3]) ).
cnf(l14,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[3]) ).
cnf(14,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf,[status(esa)],[product_left_cancellation]) ).
cnf(l20,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_1,e_1,e_1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(2,plain,
group_element(e_1),
inference(cnf,[status(esa)],[element_1]) ).
cnf(l11,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l47,plain,
product(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[15]) ).
cnf(10,plain,
~ equalish(e_3,e_2),
inference(cnf,[status(esa)],[e_3_is_not_e_2]) ).
cnf(l9,plain,
~ equalish(e_3,e_2),
inference(instantiation,[status(thm)],[10]) ).
cnf(l6,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[2]) ).
cnf(8,plain,
~ equalish(e_2,e_3),
inference(cnf,[status(esa)],[e_2_is_not_e_3]) ).
cnf(l18,plain,
~ equalish(e_2,e_3),
inference(instantiation,[status(thm)],[8]) ).
cnf(4,plain,
group_element(e_3),
inference(cnf,[status(esa)],[element_3]) ).
cnf(l19,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[4]) ).
cnf(l4,plain,
( ~ product(e_2,e_3,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(l43,plain,
~ equalish(e_2,e_3),
inference(instantiation,[status(thm)],[8]) ).
cnf(17,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X4,X2)
| ~ product(X5,X1,X0)
| ~ product(X5,X4,X3)
| equalish(X1,X4) ),
inference(cnf,[status(esa)],[qg1_2]) ).
cnf(l34,plain,
( ~ product(e_1,e_3,e_1)
| ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_3,e_1)
| ~ product(e_1,e_1,e_1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l10,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[4]) ).
cnf(9,plain,
~ equalish(e_3,e_1),
inference(cnf,[status(esa)],[e_3_is_not_e_1]) ).
cnf(l38,plain,
~ equalish(e_3,e_1),
inference(instantiation,[status(thm)],[9]) ).
cnf(l33,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_1)
| ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l51,plain,
product(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[15]) ).
cnf(l42,plain,
~ equalish(e_3,e_1),
inference(instantiation,[status(thm)],[9]) ).
cnf(l64,plain,
product(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[15]) ).
cnf(5,plain,
~ equalish(e_1,e_2),
inference(cnf,[status(esa)],[e_1_is_not_e_2]) ).
cnf(l44,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[5]) ).
cnf(12,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf,[status(esa)],[product_total_function2]) ).
cnf(l12,plain,
( ~ product(e_3,e_3,e_3)
| ~ product(e_3,e_3,e_1)
| equalish(e_3,e_1) ),
inference(instantiation,[status(thm)],[12]) ).
cnf(l39,plain,
product(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[15]) ).
cnf(l58,plain,
product(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[15]) ).
cnf(l61,plain,
product(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[15]) ).
cnf(l27,plain,
~ equalish(e_3,e_1),
inference(instantiation,[status(thm)],[9]) ).
cnf(l25,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[2]) ).
cnf(l7,plain,
( ~ product(e_1,e_3,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(6,plain,
~ equalish(e_1,e_3),
inference(cnf,[status(esa)],[e_1_is_not_e_3]) ).
cnf(l22,plain,
~ equalish(e_1,e_3),
inference(instantiation,[status(thm)],[6]) ).
cnf(l26,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[4]) ).
cnf(l54,plain,
product(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[15]) ).
cnf(l57,plain,
product(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[15]) ).
cnf(l13,plain,
( ~ product(e_2,e_2,e_2)
| ~ product(e_1,e_2,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(7,plain,
~ equalish(e_2,e_1),
inference(cnf,[status(esa)],[e_2_is_not_e_1]) ).
cnf(l63,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[7]) ).
cnf(l30,plain,
product(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[15]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l5,l8,l29,l24,l14,l20,l11,l47,l9,l6,l18,l19,l4,l43,l34,l10,l38,l33,l51,l42,l64,l44,l12,l39,l58,l61,l27,l25,l7,l22,l26,l54,l57,l13,l63,l30]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : GRP123-4.003 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.04/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n031.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 13:50:49 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.34 % launching worker at depth: 2
% 0.12/0.34 % launching worker at depth: 7
% 0.12/0.34 % launching worker at depth: 4
% 0.12/0.34 % launching worker at depth: 3
% 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: 8
% 0.12/0.34 % launching worker at depth: 1
% 0.12/0.34 % launching worker at depth: 9
% 0.12/0.37 % launching worker at depth: 10
% 0.18/0.45 % SZS status Theorem for theBenchmark
% 0.18/0.45 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------