%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : GRP022-2 : 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 : n018.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 32.07s 4.37s
% Output : CNFRefutation 32.07s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_inverse_of_inverse_is_original)
% Comments :
%------------------------------------------------------------------------------
cnf(5,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)],[5]) ).
cnf(0,plain,
multiply(identity,X0) = X0,
inference(cnf,[status(esa)],[left_identity]) ).
cnf(l3,plain,
multiply(identity,a) = a,
inference(instantiation,[status(thm)],[0]) ).
cnf(3,plain,
multiply(X0,identity) = X0,
inference(cnf,[status(esa)],[right_identity]) ).
cnf(l6,plain,
multiply(inverse(inverse(a)),identity) = inverse(inverse(a)),
inference(instantiation,[status(thm)],[3]) ).
cnf(2,plain,
multiply(multiply(X0,X1),X2) = multiply(X0,multiply(X1,X2)),
inference(cnf,[status(esa)],[associativity]) ).
cnf(l34,plain,
multiply(multiply(inverse(inverse(a)),inverse(a)),a) = multiply(inverse(inverse(a)),multiply(inverse(a),a)),
inference(instantiation,[status(thm)],[2]) ).
cnf(1,plain,
multiply(inverse(X0),X0) = identity,
inference(cnf,[status(esa)],[left_inverse]) ).
cnf(l31,plain,
multiply(inverse(a),a) = identity,
inference(instantiation,[status(thm)],[1]) ).
cnf(l37,plain,
multiply(inverse(inverse(a)),inverse(a)) = identity,
inference(instantiation,[status(thm)],[1]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l3,l6,l34,l31,l37]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : GRP022-2 : TPTP v9.0.0. Released v1.0.0.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n018.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 300
% 0.12/0.33 % DateTime : Sun Jul 20 13:26:19 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 5
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 2
% 0.12/0.33 % launching worker at depth: 6
% 0.12/0.33 % launching worker at depth: 7
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.33 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 0.18/0.53 % launching worker at depth: 12
% 32.07/4.37 % SZS status Theorem for theBenchmark
% 32.07/4.37 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------