%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP038-3 : 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 : n023.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 0.13s 0.33s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_c_is_in_subgroup)
% Comments :
%------------------------------------------------------------------------------
cnf(14,plain,
~ subgroup_member(c),
inference(cnf,[status(esa)],[prove_c_is_in_subgroup]) ).
cnf(l0,plain,
~ subgroup_member(c),
inference(instantiation,[status(thm)],[14]) ).
cnf(8,plain,
( ~ product(X0,inverse(X1),X2)
| ~ subgroup_member(X0)
| ~ subgroup_member(X1)
| subgroup_member(X2) ),
inference(cnf,[status(esa)],[closure_of_product_and_inverse]) ).
cnf(l1,plain,
( ~ product(a,inverse(b),c)
| ~ subgroup_member(a)
| ~ subgroup_member(b)
| subgroup_member(c) ),
inference(instantiation,[status(thm)],[8]) ).
cnf(12,plain,
subgroup_member(b),
inference(cnf,[status(esa)],[b_is_in_subgroup]) ).
cnf(l4,plain,
subgroup_member(b),
inference(instantiation,[status(thm)],[12]) ).
cnf(13,plain,
product(a,inverse(b),c),
inference(cnf,[status(esa)],[a_times_inverse_b_is_c]) ).
cnf(l2,plain,
product(a,inverse(b),c),
inference(instantiation,[status(thm)],[13]) ).
cnf(11,plain,
subgroup_member(a),
inference(cnf,[status(esa)],[a_is_in_subgroup]) ).
cnf(l3,plain,
subgroup_member(a),
inference(instantiation,[status(thm)],[11]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l4,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.11 % Problem : GRP038-3 : TPTP v9.0.0. Released v1.0.0.
% 0.07/0.12 % Command : /export/starexec/sandbox/solver/bin/execute.py 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 0.13/0.33 % Computer : n023.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 300
% 0.13/0.33 % DateTime : Sun Jul 20 13:30:49 EDT 2025
% 0.13/0.33 % CPUTime :
% 0.13/0.33 % launching worker at depth: 5
% 0.13/0.33 % launching worker at depth: 2
% 0.13/0.33 % launching worker at depth: 3
% 0.13/0.33 % launching worker at depth: 1
% 0.13/0.33 % launching worker at depth: 4
% 0.13/0.33 % launching worker at depth: 6
% 0.13/0.33 % launching worker at depth: 7
% 0.13/0.33 % launching worker at depth: 8
% 0.13/0.33 % launching worker at depth: 9
% 0.13/0.33 % SZS status Theorem for theBenchmark
% 0.13/0.33 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------