%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP034-4 : 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 : n026.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 06:26:42 PM UTC 2025
% Result : Unsatisfiable 0.06s 0.26s
% Output : CNFRefutation 0.06s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_inverse_is_in_subgroup)
% Comments :
%------------------------------------------------------------------------------
cnf(8,plain,
~ subgroup_member(inverse(a)),
inference(cnf,[status(esa)],[prove_inverse_is_in_subgroup]) ).
cnf(l0,plain,
~ subgroup_member(inverse(a)),
inference(instantiation,[status(thm)],[8]) ).
cnf(6,plain,
( ~ product(X0,inverse(X1),X2)
| ~ subgroup_member(X1)
| ~ subgroup_member(X0)
| subgroup_member(X2) ),
inference(cnf,[status(esa)],[closure_of_subgroup]) ).
cnf(l1,plain,
( ~ product(identity,inverse(a),inverse(a))
| ~ subgroup_member(a)
| ~ subgroup_member(identity)
| subgroup_member(inverse(a)) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(1,plain,
product(identity,X0,X0),
inference(cnf,[status(esa)],[left_identity]) ).
cnf(l2,plain,
product(identity,inverse(a),inverse(a)),
inference(instantiation,[status(thm)],[1]) ).
cnf(l3,plain,
( ~ product(a,inverse(a),identity)
| ~ subgroup_member(a)
| ~ subgroup_member(a)
| subgroup_member(identity) ),
inference(instantiation,[status(thm)],[6]) ).
cnf(7,plain,
subgroup_member(a),
inference(cnf,[status(esa)],[a_is_in_subgroup]) ).
cnf(l4,plain,
subgroup_member(a),
inference(instantiation,[status(thm)],[7]) ).
cnf(l5,plain,
subgroup_member(a),
inference(instantiation,[status(thm)],[7]) ).
cnf(l6,plain,
subgroup_member(a),
inference(instantiation,[status(thm)],[7]) ).
cnf(3,plain,
product(X0,inverse(X0),identity),
inference(cnf,[status(esa)],[right_inverse]) ).
cnf(l7,plain,
product(a,inverse(a),identity),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l4,l5,l6,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.07 % Problem : GRP034-4 : TPTP v9.0.0. Released v1.0.0.
% 0.00/0.07 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.06/0.26 % Computer : n026.cluster.edu
% 0.06/0.26 % Model : x86_64 x86_64
% 0.06/0.26 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.06/0.26 % Memory : 8042.1875MB
% 0.06/0.26 % OS : Linux 3.10.0-693.el7.x86_64
% 0.06/0.26 % CPULimit : 300
% 0.06/0.26 % WCLimit : 300
% 0.06/0.26 % DateTime : Sun Jul 20 13:30:48 EDT 2025
% 0.06/0.26 % CPUTime :
% 0.06/0.26 % launching worker at depth: 3
% 0.06/0.26 % launching worker at depth: 4
% 0.06/0.26 % launching worker at depth: 5
% 0.06/0.26 % launching worker at depth: 1
% 0.06/0.26 % launching worker at depth: 2
% 0.06/0.26 % launching worker at depth: 6
% 0.06/0.26 % launching worker at depth: 7
% 0.06/0.26 % launching worker at depth: 8
% 0.06/0.26 % launching worker at depth: 9
% 0.06/0.26 % SZS status Theorem for theBenchmark
% 0.06/0.26 % SZS output start CNFRefutation
% See solution above
% 0.06/0.26 % launching worker at depth:
%------------------------------------------------------------------------------