%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP135-1.002 : TPTP v9.0.0. Released v1.2.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n027.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 06:26:57 PM UTC 2025
% Result : Unsatisfiable 3.96s 0.86s
% Output : CNFRefutation 3.96s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named qg3)
% Comments :
%------------------------------------------------------------------------------
cnf(8,plain,
( ~ product(X0,X1,X2)
| ~ product(X2,X0,X3)
| product(X3,X0,X1) ),
inference(cnf,[status(esa)],[qg3]) ).
cnf(l0,plain,
( ~ product(e_1,e_1,e_1)
| ~ product(e_1,e_1,e_2)
| product(e_2,e_1,e_1) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(4,plain,
( ~ group_element(X0)
| ~ group_element(X1)
| product(X0,X1,e_1)
| product(X0,X1,e_2) ),
inference(cnf,[status(esa)],[product_total_function1]) ).
cnf(l2,plain,
( ~ group_element(e_1)
| ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l1,plain,
( ~ product(e_1,e_2,e_1)
| ~ product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l7,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(0,plain,
group_element(e_1),
inference(cnf,[status(esa)],[element_1]) ).
cnf(l6,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l16,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l186,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
group_element(e_2),
inference(cnf,[status(esa)],[element_2]) ).
cnf(l185,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(7,plain,
( ~ product(X0,X1,X2)
| ~ product(X3,X1,X2)
| equalish(X0,X3) ),
inference(cnf,[status(esa)],[product_left_cancellation]) ).
cnf(l3,plain,
( ~ product(e_2,e_1,e_1)
| ~ product(e_1,e_1,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(3,plain,
~ equalish(e_2,e_1),
inference(cnf,[status(esa)],[e_2_is_not_e_1]) ).
cnf(l5,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l195,plain,
( ~ group_element(e_1)
| ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l8,plain,
( ~ group_element(e_1)
| ~ group_element(e_1)
| product(e_1,e_1,e_1)
| product(e_1,e_1,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l188,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(6,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X2)
| equalish(X1,X3) ),
inference(cnf,[status(esa)],[product_right_cancellation]) ).
cnf(l189,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_1,e_2,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(2,plain,
~ equalish(e_1,e_2),
inference(cnf,[status(esa)],[e_1_is_not_e_2]) ).
cnf(l193,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[2]) ).
cnf(l196,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l184,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_2,e_2,e_2)
| equalish(e_1,e_2) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(l204,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l200,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_1,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l194,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l275,plain,
( ~ group_element(e_2)
| ~ group_element(e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l282,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l201,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l229,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l203,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_2,e_2,e_2)
| product(e_2,e_2,e_1) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l286,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l187,plain,
~ equalish(e_1,e_2),
inference(instantiation,[status(thm)],[2]) ).
cnf(l276,plain,
( ~ product(e_2,e_2,e_1)
| ~ product(e_1,e_2,e_2)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l199,plain,
( ~ product(e_1,e_2,e_1)
| ~ product(e_1,e_1,e_2)
| product(e_2,e_1,e_2) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l228,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l232,plain,
( ~ group_element(e_2)
| ~ group_element(e_2)
| product(e_2,e_2,e_1)
| product(e_2,e_2,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l238,plain,
( ~ group_element(e_2)
| ~ group_element(e_1)
| product(e_2,e_1,e_1)
| product(e_2,e_1,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l278,plain,
( ~ group_element(e_1)
| ~ group_element(e_2)
| product(e_1,e_2,e_1)
| product(e_1,e_2,e_2) ),
inference(instantiation,[status(thm)],[4]) ).
cnf(l265,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l267,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l308,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l291,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(l266,plain,
group_element(e_2),
inference(instantiation,[status(thm)],[1]) ).
cnf(5,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| equalish(X2,X3) ),
inference(cnf,[status(esa)],[product_total_function2]) ).
cnf(l277,plain,
( ~ product(e_2,e_1,e_2)
| ~ product(e_2,e_1,e_1)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(l306,plain,
( ~ product(e_1,e_1,e_2)
| ~ product(e_2,e_1,e_1)
| product(e_1,e_1,e_1) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(l309,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[3]) ).
cnf(l279,plain,
group_element(e_1),
inference(instantiation,[status(thm)],[0]) ).
cnf(l317,plain,
( ~ product(e_1,e_2,e_2)
| ~ product(e_1,e_1,e_2)
| equalish(e_2,e_1) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(l318,plain,
~ equalish(e_2,e_1),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l1,l7,l6,l16,l186,l185,l3,l5,l195,l8,l188,l189,l193,l196,l184,l204,l200,l194,l275,l282,l201,l229,l203,l286,l187,l276,l199,l228,l232,l238,l278,l265,l267,l308,l291,l266,l277,l306,l309,l279,l317,l318]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.09 % Problem : GRP135-1.002 : TPTP v9.0.0. Released v1.2.0.
% 0.00/0.10 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.30 % Computer : n027.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Sun Jul 20 14:07:19 EDT 2025
% 0.09/0.31 % CPUTime :
% 0.09/0.31 % launching worker at depth: 1
% 0.09/0.31 % launching worker at depth: 8
% 0.09/0.31 % launching worker at depth: 3
% 0.09/0.31 % launching worker at depth: 4
% 0.09/0.31 % launching worker at depth: 2
% 0.09/0.31 % launching worker at depth: 5
% 0.09/0.31 % launching worker at depth: 6
% 0.09/0.31 % launching worker at depth: 7
% 0.09/0.31 % launching worker at depth: 9
% 0.09/0.31 % launching worker at depth: 10
% 0.15/0.53 % launching worker at depth: 11
% 3.96/0.86 % SZS status Theorem for theBenchmark
% 3.96/0.86 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------