%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP005-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% Computer : n032.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 06:26:36 PM UTC 2025
% Result : Unsatisfiable 0.09s 0.29s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_identity_is_an_element)
% Comments :
%------------------------------------------------------------------------------
cnf(8,plain,
~ an_element(identity),
inference(cnf,[status(esa)],[prove_identity_is_an_element]) ).
cnf(l0,plain,
~ an_element(identity),
inference(instantiation,[status(thm)],[8]) ).
cnf(5,plain,
( ~ an_element(X0)
| ~ an_element(X1)
| ~ product(X0,inverse(X1),X2)
| an_element(X2) ),
inference(cnf,[status(esa)],[condition]) ).
cnf(l1,plain,
( ~ an_element(a)
| ~ an_element(a)
| ~ product(a,inverse(a),identity)
| an_element(identity) ),
inference(instantiation,[status(thm)],[5]) ).
cnf(4,plain,
an_element(a),
inference(cnf,[status(esa)],[element_of_set]) ).
cnf(l2,plain,
an_element(a),
inference(instantiation,[status(thm)],[4]) ).
cnf(l3,plain,
an_element(a),
inference(instantiation,[status(thm)],[4]) ).
cnf(2,plain,
product(X0,inverse(X0),identity),
inference(cnf,[status(esa)],[right_inverse]) ).
cnf(l4,plain,
product(a,inverse(a),identity),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08 % Problem : GRP005-1 : TPTP v9.0.0. Released v1.0.0.
% 0.00/0.09 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.09/0.29 % Computer : n032.cluster.edu
% 0.09/0.29 % Model : x86_64 x86_64
% 0.09/0.29 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.29 % Memory : 8042.1875MB
% 0.09/0.29 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.29 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sun Jul 20 13:24:18 EDT 2025
% 0.09/0.29 % CPUTime :
% 0.09/0.29 % launching worker at depth: 2
% 0.09/0.29 % launching worker at depth: 3
% 0.09/0.29 % launching worker at depth: 1
% 0.09/0.29 % launching worker at depth: 4
% 0.09/0.29 % launching worker at depth: 5
% 0.09/0.29 % launching worker at depth: 6
% 0.09/0.29 % launching worker at depth: 7
% 0.09/0.29 % launching worker at depth: 8
% 0.09/0.29 % SZS status Theorem for theBenchmark
% 0.09/0.29 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------