%------------------------------------------------------------------------------
% File : hopCoP---0.1
% Problem : BOO005-4 : TPTP v9.0.0. Bugfixed v1.2.1.
% Transfm : none
% Format : tptp:raw
% Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% Computer : n029.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 52.04s 6.86s
% Output : CNFRefutation 52.04s
% Verified :
% SZS Type : ERROR: Analysing output (Could not find formula named prove_a_plus_1_is_a)
% Comments :
%------------------------------------------------------------------------------
cnf(8,plain,
add(a,multiplicative_identity) != multiplicative_identity,
inference(cnf,[status(esa)],[prove_a_plus_1_is_a]) ).
cnf(l0,plain,
add(a,multiplicative_identity) != multiplicative_identity,
inference(instantiation,[status(thm)],[8]) ).
cnf(0,plain,
add(X0,X1) = add(X1,X0),
inference(cnf,[status(esa)],[commutativity_of_add]) ).
cnf(l2,plain,
add(a,multiplicative_identity) = add(multiplicative_identity,a),
inference(instantiation,[status(thm)],[0]) ).
cnf(6,plain,
add(X0,inverse(X0)) = multiplicative_identity,
inference(cnf,[status(esa)],[additive_inverse1]) ).
cnf(l93,plain,
add(a,inverse(a)) = multiplicative_identity,
inference(instantiation,[status(thm)],[6]) ).
cnf(l94,plain,
add(a,multiply(multiplicative_identity,inverse(a))) = add(multiply(multiplicative_identity,inverse(a)),a),
inference(instantiation,[status(thm)],[0]) ).
cnf(5,plain,
multiply(X0,multiplicative_identity) = X0,
inference(cnf,[status(esa)],[multiplicative_id1]) ).
cnf(l39,plain,
multiply(add(a,multiplicative_identity),multiplicative_identity) = add(a,multiplicative_identity),
inference(instantiation,[status(thm)],[5]) ).
cnf(l100,plain,
multiply(inverse(a),multiplicative_identity) = inverse(a),
inference(instantiation,[status(thm)],[5]) ).
cnf(l106,plain,
add(multiply(multiplicative_identity,inverse(a)),a) = add(a,multiply(multiplicative_identity,inverse(a))),
inference(instantiation,[status(thm)],[0]) ).
cnf(1,plain,
multiply(X0,X1) = multiply(X1,X0),
inference(cnf,[status(esa)],[commutativity_of_multiply]) ).
cnf(l101,plain,
multiply(multiplicative_identity,inverse(a)) = multiply(inverse(a),multiplicative_identity),
inference(instantiation,[status(thm)],[1]) ).
cnf(l38,plain,
add(multiplicative_identity,a) = add(a,multiplicative_identity),
inference(instantiation,[status(thm)],[0]) ).
cnf(2,plain,
add(X0,multiply(X1,X2)) = multiply(add(X0,X1),add(X0,X2)),
inference(cnf,[status(esa)],[distributivity1]) ).
cnf(l107,plain,
add(a,multiply(multiplicative_identity,inverse(a))) = multiply(add(a,multiplicative_identity),add(a,inverse(a))),
inference(instantiation,[status(thm)],[2]) ).
cnf(l104,plain,
add(a,inverse(a)) = multiplicative_identity,
inference(instantiation,[status(thm)],[6]) ).
cnf(final,plain,
$false,
inference(ground_refutation,[status(thm)],[l0,l2,l93,l94,l39,l100,l106,l101,l38,l107,l104]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.11 % Problem : BOO005-4 : TPTP v9.0.0. Bugfixed v1.2.1.
% 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p
% 0.12/0.33 % Computer : n029.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 04:38:04 EDT 2025
% 0.12/0.33 % CPUTime :
% 0.12/0.33 % launching worker at depth: 3
% 0.12/0.33 % launching worker at depth: 4
% 0.12/0.33 % launching worker at depth: 8
% 0.12/0.33 % launching worker at depth: 1
% 0.12/0.33 % launching worker at depth: 5
% 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: 2
% 0.12/0.33 % launching worker at depth: 9
% 0.12/0.34 % launching worker at depth: 10
% 0.12/0.34 % launching worker at depth: 11
% 8.40/1.43 % launching worker at depth: 12
% 52.04/6.86 % SZS status Theorem for theBenchmark
% 52.04/6.86 % SZS output start CNFRefutation
% See solution above
%------------------------------------------------------------------------------