%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : BOO003-4 : TPTP v9.0.0. Released v1.1.0.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n032.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 10:39:56 AM UTC 2025
% Result : Unsatisfiable 122.62s 15.69s
% Output : CNFRefutation 122.62s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_a_times_a_is_a)
% Comments :
%------------------------------------------------------------------------------
cnf(8,plain,
multiply(a,a) != a,
inference(cnf,[status(esa)],[prove_a_times_a_is_a]) ).
cnf(l0,plain,
multiply(a,a) != a,
inference(instantiation,[status(thm)],[8]) ).
cnf(5,plain,
multiply(X0,multiplicative_identity) = X0,
inference(cnf,[status(esa)],[multiplicative_id1]) ).
cnf(l12,plain,
multiply(a,multiplicative_identity) = a,
inference(instantiation,[status(thm)],[5]) ).
cnf(1,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(cnf,[status(esa)],[commutativity_of_multiply]) ).
cnf(l8,plain,
multiply(a,multiplicative_identity) = multiply(multiplicative_identity,a),
inference(instantiation,[status(thm)],[1]) ).
cnf(4,plain,
add(X0,additive_identity) = X0,
inference(cnf,[status(esa)],[additive_id1]) ).
cnf(l9,plain,
add(multiply(a,a),additive_identity) = multiply(a,a),
inference(instantiation,[status(thm)],[4]) ).
cnf(l39,plain,
multiply(add(a,inverse(a)),a) = multiply(a,add(a,inverse(a))),
inference(instantiation,[status(thm)],[1]) ).
cnf(3,plain,
multiply(X0,add(X1,X2)) = add(multiply(X0,X1),multiply(X0,X2)),
inference(cnf,[status(esa)],[distributivity2]) ).
cnf(l38,plain,
multiply(a,add(a,inverse(a))) = add(multiply(a,a),multiply(a,inverse(a))),
inference(instantiation,[status(thm)],[3]) ).
cnf(6,plain,
add(X0,inverse(X0)) = multiplicative_identity,
inference(cnf,[status(esa)],[additive_inverse1]) ).
cnf(l45,plain,
add(a,inverse(a)) = multiplicative_identity,
inference(instantiation,[status(thm)],[6]) ).
cnf(7,plain,
multiply(X0,inverse(X0)) = additive_identity,
inference(cnf,[status(esa)],[multiplicative_inverse1]) ).
cnf(l13,plain,
multiply(a,inverse(a)) = additive_identity,
inference(instantiation,[status(thm)],[7]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l12,l8,l9,l39,l38,l45,l13]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.05/0.09 % Problem : BOO003-4 : TPTP v9.0.0. Released v1.1.0.
% 0.05/0.10 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.09/0.30 % Computer : n032.cluster.edu
% 0.09/0.30 % Model : x86_64 x86_64
% 0.09/0.30 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.09/0.30 % Memory : 8042.1875MB
% 0.09/0.30 % OS : Linux 3.10.0-693.el7.x86_64
% 0.09/0.30 % CPULimit : 300
% 0.09/0.30 % WCLimit : 300
% 0.09/0.30 % DateTime : Sun Jul 20 04:35:49 EDT 2025
% 0.09/0.30 % CPUTime :
% 0.09/0.30 % launching worker at depth: 3
% 0.09/0.30 % launching worker at depth: 5
% 0.09/0.30 % launching worker at depth: 4
% 0.09/0.30 % launching worker at depth: 2
% 0.09/0.30 % launching worker at depth: 6
% 0.09/0.30 % launching worker at depth: 1
% 0.09/0.30 % launching worker at depth: 7
% 0.09/0.30 % launching worker at depth: 8
% 0.09/0.30 % launching worker at depth: 9
% 0.09/0.31 % launching worker at depth: 10
% 0.09/0.31 % launching worker at depth: 11
% 5.42/0.97 % launching worker at depth: 12
% 122.62/15.69 % SZS status Theorem for theBenchmark
% 122.62/15.69 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------