%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP128-4.003 : TPTP v9.0.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n017.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 5.44s 1.07s
% Output : CNFRefutation 5.44s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named qg3_1)
% Comments :
%------------------------------------------------------------------------------
cnf(2,plain,
( ~ product(X0,X1,X2)
| ~ product(X1,X3,X2)
| product(X0,X3,X1) ),
inference(cnf,[status(esa)],[qg3_1]) ).
cnf(l0,plain,
( ~ product(e_1,e_2,e_3)
| ~ product(e_2,e_1,e_3)
| product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(0,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product(e_1,X0,X1)
| product(e_2,X0,X1)
| product(e_3,X0,X1) ),
inference(cnf,[status(esa)],[row_surjectivity]) ).
cnf(l1,plain,
( ~ group_element(e_1)
| ~ group_element(e_3)
| product(e_1,e_1,e_3)
| product(e_2,e_1,e_3)
| product(e_3,e_1,e_3) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(6,plain,
group_element(e_3),
inference(cnf,[status(esa)],[element_3]) ).
cnf(l4,plain,
group_element(e_3),
inference(instantiation,[status(thm)],[6]) ).
cnf(4,plain,
group_element(e_1),
inference(cnf,[status(esa)],[element_1]) ).
cnf(l3,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[4]) ).
cnf(13,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(l2,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)],[13]) ).
cnf(l6,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[4]) ).
cnf(15,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf,[status(esa)],[product_right_cancellation]) ).
cnf(l42,plain,
( ~ product(e_3,e_1,e_3)
| ~ product(e_3,e_3,e_3)
| equalish(e_1,e_3) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(5,plain,
group_element(e_2),
inference(cnf,[status(esa)],[element_2]) ).
cnf(l8,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[5]) ).
cnf(17,plain,
( ~ product(X0,X1,X2)
| ~ product(X2,X1,X3)
| product(X0,X2,X3) ),
inference(cnf,[status(esa)],[qg3]) ).
cnf(l61,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)],[17]) ).
cnf(14,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf,[status(esa)],[product_total_function2]) ).
cnf(l16,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_1,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[14]) ).
cnf(8,plain,
~ equalish(e_1,e_3),
inference(cnf,[status(esa)],[e_1_is_not_e_3]) ).
cnf(l46,plain,
~ equalish(e_1,e_3),
inference(instantiation,[status(thm)],[8]) ).
cnf(l11,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_2,e_1)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[15]) ).
cnf(l20,plain,
( ~ group_element(e_1)
| ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_2,e_1,e_1)
| product(e_3,e_1,e_1) ),
inference(instantiation,[status(thm)],[0]) ).
cnf(l24,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)],[17]) ).
cnf(l23,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[4]) ).
cnf(7,plain,
~ equalish(e_1,e_2),
inference(cnf,[status(esa)],[e_1_is_not_e_2]) ).
cnf(l17,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l22,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[7]) ).
cnf(3,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X1)
| product(X1,X3,X2) ),
inference(cnf,[status(esa)],[qg3_2]) ).
cnf(l39,plain,
( ~ product(e_3,e_1,e_1)
| ~ product(e_3,e_1,e_1)
| product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l29,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_2,e_1,e_1)
| product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(l64,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(l65,plain,
~ equalish(e_1,e_3),
inference(instantiation,[status(thm)],[8]) ).
cnf(l67,plain,
( ~ product(e_1,e_1,e_3)
| ~ product(e_1,e_1,e_3)
| product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[2]) ).
cnf(l21,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[4]) ).
cnf(16,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf,[status(esa)],[product_left_cancellation]) ).
cnf(l9,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(l13,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[7]) ).
cnf(l31,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_2,e_2)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l3,l2,l6,l42,l8,l61,l16,l46,l11,l20,l24,l23,l17,l22,l39,l29,l64,l65,l67,l21,l9,l13,l31]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : GRP128-4.003 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.11/0.13 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.34 % Computer : n017.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 14:01:19 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: 8
% 0.13/0.35 % launching worker at depth: 4
% 0.13/0.35 % launching worker at depth: 5
% 0.13/0.35 % launching worker at depth: 2
% 0.13/0.35 % launching worker at depth: 7
% 0.13/0.35 % launching worker at depth: 3
% 0.13/0.35 % launching worker at depth: 9
% 3.04/0.72 % launching worker at depth: 10
% 5.44/1.07 % SZS status Theorem for theBenchmark
% 5.44/1.07 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------