%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP022-1 : TPTP v9.0.0. Released v1.0.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n024.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 06:26:38 PM UTC 2025
% Result : Unsatisfiable 0.16s 0.38s
% Output : CNFRefutation 0.16s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_inverse_of_inverse_is_original)
% Comments :
%------------------------------------------------------------------------------
cnf(8,plain,
inverse(inverse(a)) != a,
inference(cnf,[status(esa)],[prove_inverse_of_inverse_is_original]) ).
cnf(l0,plain,
inverse(inverse(a)) != a,
inference(instantiation,[status(thm)],[8]) ).
cnf(5,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X1,X3)
| X2 = X3 ),
inference(cnf,[status(esa)],[total_function2]) ).
cnf(l1,plain,
( ~ product(identity,inverse(inverse(a)),inverse(inverse(a)))
| ~ product(identity,inverse(inverse(a)),a)
| inverse(inverse(a)) = a ),
inference(instantiation,[status(thm)],[5]) ).
cnf(0,plain,
product(identity,X0,X0),
inference(cnf,[status(esa)],[left_identity]) ).
cnf(l2,plain,
product(identity,inverse(inverse(a)),inverse(inverse(a))),
inference(instantiation,[status(thm)],[0]) ).
cnf(7,plain,
( ~ product(X0,X1,X2)
| ~ product(X0,X3,X4)
| ~ product(X1,X5,X3)
| product(X2,X5,X4) ),
inference(cnf,[status(esa)],[associativity2]) ).
cnf(l3,plain,
( ~ product(a,inverse(a),identity)
| ~ product(a,identity,a)
| ~ product(inverse(a),inverse(inverse(a)),identity)
| product(identity,inverse(inverse(a)),a) ),
inference(instantiation,[status(thm)],[7]) ).
cnf(1,plain,
product(X0,identity,X0),
inference(cnf,[status(esa)],[right_identity]) ).
cnf(l6,plain,
product(a,identity,a),
inference(instantiation,[status(thm)],[1]) ).
cnf(3,plain,
product(X0,inverse(X0),identity),
inference(cnf,[status(esa)],[right_inverse]) ).
cnf(l4,plain,
product(a,inverse(a),identity),
inference(instantiation,[status(thm)],[3]) ).
cnf(l7,plain,
product(inverse(a),inverse(inverse(a)),identity),
inference(instantiation,[status(thm)],[3]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3,l6,l4,l7]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.14 % Problem : GRP022-1 : TPTP v9.0.0. Released v1.0.0.
% 0.09/0.15 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.16/0.37 % Computer : n024.cluster.edu
% 0.16/0.37 % Model : x86_64 x86_64
% 0.16/0.37 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.16/0.37 % Memory : 8042.1875MB
% 0.16/0.37 % OS : Linux 3.10.0-693.el7.x86_64
% 0.16/0.37 % CPULimit : 300
% 0.16/0.37 % WCLimit : 300
% 0.16/0.37 % DateTime : Sun Jul 20 13:26:04 EDT 2025
% 0.16/0.38 % CPUTime :
% 0.16/0.38 % launching worker at depth: 1
% 0.16/0.38 % launching worker at depth: 3
% 0.16/0.38 % launching worker at depth: 2
% 0.16/0.38 % launching worker at depth: 4% SZS status Theorem for theBenchmark
% 0.16/0.38 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------