%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP123-7.003 : 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 : n029.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 qg1a)
% Comments :
%------------------------------------------------------------------------------
cnf(25,plain,
( ~ product1(X0,X1,X2)
| ~ product1(X2,X1,X3)
| product2(X3,X0,X1) ),
inference(cnf,[status(esa)],[qg1a]) ).
cnf(l0,plain,
( ~ product1(e_3,e_2,e_1)
| ~ product1(e_1,e_2,e_3)
| product2(e_3,e_3,e_2) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(15,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product1(X0,X1,e_2)
| product1(X0,X1,e_1)
| product1(X0,X1,e_3) ),
inference(cnf,[status(esa)],[product1_total_function1]) ).
cnf(l2,plain,
( ~ group_element(e_3)
| ~ group_element(e_2)
| product1(e_3,e_2,e_2)
| product1(e_3,e_2,e_1)
| product1(e_3,e_2,e_3) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l1,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product1(e_1,e_2,e_2)
| product1(e_1,e_2,e_1)
| product1(e_1,e_2,e_3) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(18,plain,
( ~ product1(X0,X1,X2)
| ~ product1(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf,[status(esa)],[product1_left_cancellation]) ).
cnf(l8,plain,
( ~ product1(e_2,e_2,e_2)
| ~ product1(e_1,e_2,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(17,plain,
( ~ product1(X0,X1,X2)
| ~ product1(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf,[status(esa)],[product1_right_cancellation]) ).
cnf(l13,plain,
( ~ product1(e_3,e_3,e_3)
| ~ product1(e_3,e_2,e_3)
| equalish(e_3,e_2) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(21,plain,
( ~ product2(X0,X1,X2)
| ~ product2(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf,[status(esa)],[product2_total_function2]) ).
cnf(l6,plain,
( ~ product2(e_3,e_3,e_2)
| ~ product2(e_3,e_3,e_3)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(19,plain,
product1(X0,X0,X0),
inference(cnf,[status(esa)],[product1_idempotence]) ).
cnf(l24,plain,
product1(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[19]) ).
cnf(l17,plain,
( ~ product1(e_3,e_3,e_3)
| ~ product1(e_3,e_3,e_3)
| product2(e_3,e_3,e_3) ),
inference(instantiation,[status(thm)],[25]) ).
cnf(6,plain,
group_element(e_1),
inference(cnf,[status(esa)],[element_1]) ).
cnf(l3,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[6]) ).
cnf(14,plain,
~ equalish(e_3,e_2),
inference(cnf,[status(esa)],[e_3_is_not_e_2]) ).
cnf(l21,plain,
~ equalish(e_3,e_2),
inference(instantiation,[status(thm)],[14]) ).
cnf(12,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)],[12]) ).
cnf(11,plain,
~ equalish(e_2,e_1),
inference(cnf,[status(esa)],[e_2_is_not_e_1]) ).
cnf(l14,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[11]) ).
cnf(l18,plain,
product1(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[19]) ).
cnf(8,plain,
group_element(e_3),
inference(cnf,[status(esa)],[element_3]) ).
cnf(l11,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[8]) ).
cnf(l19,plain,
product1(e_3,e_3,e_3),
inference(instantiation,[status(thm)],[19]) ).
cnf(l27,plain,
product1(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[19]) ).
cnf(7,plain,
group_element(e_2),
inference(cnf,[status(esa)],[element_2]) ).
cnf(l7,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l5,plain,
( ~ product1(e_2,e_2,e_2)
| ~ product1(e_3,e_2,e_2)
| equalish(e_2,e_3) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(l23,plain,
product1(e_2,e_2,e_2),
inference(instantiation,[status(thm)],[19]) ).
cnf(l41,plain,
( ~ product1(e_1,e_2,e_1)
| ~ product1(e_1,e_1,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(l42,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[11]) ).
cnf(l43,plain,
product1(e_1,e_1,e_1),
inference(instantiation,[status(thm)],[19]) ).
cnf(l22,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l12,plain,
~ equalish(e_2,e_3),
inference(instantiation,[status(thm)],[12]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l1,l8,l13,l6,l24,l17,l3,l21,l10,l14,l18,l11,l19,l27,l7,l5,l23,l41,l42,l43,l22,l12]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP123-7.003 : TPTP v9.0.0. Released v1.2.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 13:51:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.35 % 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
%------------------------------------------------------------------------------