%------------------------------------------------------------------------------ % File : hopCoP---0.1 % Problem : SET231-6 : TPTP v9.0.0. Bugfixed v2.1.0. % Transfm : none % Format : tptp:raw % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % Computer : n017.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 : Fri Jul 25 03:31:50 PM UTC 2025 % Result : Unsatisfiable 0.12s 0.35s % Output : CNFRefutation 0.12s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SET231-6 : TPTP v9.0.0. Bugfixed v2.1.0. % 0.03/0.12 % Command : /export/starexec/sandbox2/solver/bin/execute.py 300 /export/starexec/sandbox2/benchmark/theBenchmark.p % 0.12/0.33 % Computer : n017.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 : Mon Jul 21 20:31:19 EDT 2025 % 0.12/0.33 % CPUTime : % 0.12/0.34 % launching worker at depth: 1 % 0.12/0.34 % launching worker at depth: 6 % 0.12/0.34 % launching worker at depth: 3 % 0.12/0.34 % launching worker at depth: 7 % 0.12/0.34 % launching worker at depth: 5 % 0.12/0.34 % launching worker at depth: 2 % 0.12/0.34 % launching worker at depth: 4 % 0.12/0.34 % launching worker at depth: 8 % 0.12/0.34 % launching worker at depth: 9 % 0.12/0.35 % SZS status Theorem for theBenchmark % 0.12/0.35 % SZS output start CNFRefutation % 0.12/0.35 cnf(112, plain, ~subclass(cross_product(x,y),z), inference(cnf, [status(esa)], [prove_cross_product_property6_1])). % 0.12/0.35 % launching worker at depth: cnf(l0, plain, ~subclass(cross_product(x,y),z), inference(instantiation, [status(thm)], [112])). % 0.12/0.35 cnf(1, plain, subclass(X0,X1) | member(not_subclass_element(X0,X1),X0), inference(cnf, [status(esa)], [not_subclass_members1])). % 0.12/0.35 cnf(l1, plain, subclass(cross_product(x,y),z) | member(not_subclass_element(cross_product(x,y),z),cross_product(x,y)), inference(instantiation, [status(thm)], [1])). % 0.12/0.35 cnf(16, plain, ~member(X0,cross_product(X1,X2)) | ordered_pair(first(X0),second(X0)) = X0, inference(cnf, [status(esa)], [cartesian_product4])). % 0.12/0.35 cnf(l2, plain, ~member(not_subclass_element(cross_product(x,y),z),cross_product(x,y)) | ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))) = not_subclass_element(cross_product(x,y),z), inference(instantiation, [status(thm)], [16])). % 0.12/0.35 cnf(113, plain, ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))) != not_subclass_element(cross_product(x,y),z), inference(cnf, [status(esa)], [prove_cross_product_property6_2])). % 0.12/0.35 10 % 0.12/0.35 cnf(l5, plain, ordered_pair(first(not_subclass_element(cross_product(x,y),z)),second(not_subclass_element(cross_product(x,y),z))) != not_subclass_element(cross_product(x,y),z), inference(instantiation, [status(thm)], [113])). % 0.12/0.35 cnf(final, plain, $false, inference(ground_refutation, [status(thm)], [l0, l1, l2, l5])). % 0.12/0.35 % SZS output end CNFRefutation %------------------------------------------------------------------------------