%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP033-3 : TPTP v9.0.0. Bugfixed v4.0.0.
% 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 06:26:41 PM UTC 2025
% Result : Unsatisfiable 0.13s 0.36s
% Output : CNFRefutation 0.13s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_subgr2)
% Comments :
%------------------------------------------------------------------------------
cnf(21,plain,
( ~ product(X0,j(X0),j(X0))
| ~ product(j(X0),X0,j(X0))
| ~ subgroup_member(X0) ),
inference(cnf,[status(esa)],[prove_subgr2]) ).
cnf(l0,plain,
( ~ product(identity,j(identity),j(identity))
| ~ product(j(identity),identity,j(identity))
| ~ subgroup_member(identity) ),
inference(instantiation,[status(thm)],[21]) ).
cnf(18,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(l3,plain,
( ~ product(a,inverse(a),identity)
| ~ subgroup_member(a)
| ~ subgroup_member(a)
| subgroup_member(identity) ),
inference(instantiation,[status(thm)],[18]) ).
cnf(19,plain,
subgroup_member(a),
inference(cnf,[status(esa)],[a_is_in_subgroup]) ).
cnf(l11,plain,
subgroup_member(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(17,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
inference(cnf,[status(esa)],[associativity2]) ).
cnf(l2,plain,
( ~ product(j(identity),inverse(j(identity)),identity)
| ~ product(j(identity),identity,j(identity))
| ~ product(inverse(j(identity)),j(identity),identity)
| product(identity,j(identity),j(identity)) ),
inference(instantiation,[status(thm)],[17]) ).
cnf(13,plain,
product(X0,inverse(X0),identity),
inference(cnf,[status(esa)],[right_inverse]) ).
cnf(l8,plain,
product(a,inverse(a),identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(12,plain,
product(inverse(X0),X0,identity),
inference(cnf,[status(esa)],[left_inverse]) ).
cnf(l9,plain,
product(inverse(j(identity)),j(identity),identity),
inference(instantiation,[status(thm)],[12]) ).
cnf(l12,plain,
subgroup_member(a),
inference(instantiation,[status(thm)],[19]) ).
cnf(l5,plain,
product(j(identity),inverse(j(identity)),identity),
inference(instantiation,[status(thm)],[13]) ).
cnf(11,plain,
product(X0,identity,X0),
inference(cnf,[status(esa)],[right_identity]) ).
cnf(l7,plain,
product(j(identity),identity,j(identity)),
inference(instantiation,[status(thm)],[11]) ).
cnf(l1,plain,
product(j(identity),identity,j(identity)),
inference(instantiation,[status(thm)],[11]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l11,l2,l8,l9,l12,l5,l7,l1]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.12 % Problem : GRP033-3 : TPTP v9.0.0. Bugfixed v4.0.0.
% 0.08/0.13 % 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 13:30:34 EDT 2025
% 0.13/0.34 % CPUTime :
% 0.13/0.34 % launching worker at depth: 3
% 0.13/0.34 % launching worker at depth: 2
% 0.13/0.34 % launching worker at depth: 6
% 0.13/0.34 % launching worker at depth: 7
% 0.13/0.34 % launching worker at depth: 5
% 0.13/0.34 % launching worker at depth: 4
% 0.13/0.34 % launching worker at depth: 1
% 0.13/0.34 % launching worker at depth: 8
% 0.13/0.35 % launching worker at depth: 9
% 0.13/0.36 % SZS status Theorem for theBenchmark
% 0.13/0.36 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------