%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP020-1 : 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 : n028.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 0.09s 0.29s
% Output : CNFRefutation 0.09s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_inverse_X_times_X_is_id)
% Comments :
%------------------------------------------------------------------------------
cnf(8,plain,
multiply(inverse(a),a) != identity,
inference(cnf,[status(esa)],[prove_inverse_X_times_X_is_id]) ).
cnf(l0,plain,
multiply(inverse(a),a) != identity,
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(inverse(a),a,multiply(inverse(a),a))
| ~ product(inverse(a),a,identity)
| multiply(inverse(a),a) = identity ),
inference(instantiation,[status(thm)],[5]) ).
cnf(4,plain,
product(X0,X1,multiply(X0,X1)),
inference(cnf,[status(esa)],[total_function1]) ).
cnf(l2,plain,
product(inverse(a),a,multiply(inverse(a),a)),
inference(instantiation,[status(thm)],[4]) ).
cnf(2,plain,
product(inverse(X0),X0,identity),
inference(cnf,[status(esa)],[left_inverse]) ).
cnf(l3,plain,
product(inverse(a),a,identity),
inference(instantiation,[status(thm)],[2]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l1,l2,l3]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.09 % Problem : GRP020-1 : TPTP v9.0.0. Released v1.0.0.
% 0.08/0.09 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.28 % Computer : n028.cluster.edu
% 0.09/0.28 % Model : x86_64 x86_64
% 0.09/0.28 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.28 % Memory : 8042.1875MB
% 0.09/0.28 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.28 % CPULimit : 300
% 0.09/0.29 % WCLimit : 300
% 0.09/0.29 % DateTime : Sun Jul 20 13:25:49 EDT 2025
% 0.09/0.29 % CPUTime :
% 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: 3
% 0.09/0.29 % launching worker at depth: 2
% 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 % launching worker at depth: 9
% 0.09/0.29 % SZS status Theorem for theBenchmark
% 0.09/0.29 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------