%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : NUM925+2 : TPTP v8.1.0. Released v5.3.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n003.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 : 600s % DateTime : Mon Jul 18 11:37:43 EDT 2022 % Result : Theorem 22.85s 3.39s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : NUM925+2 : TPTP v8.1.0. Released v5.3.0. % 0.07/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.34 % Computer : n003.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Wed Jul 6 19:17:56 EDT 2022 % 0.13/0.34 % CPUTime : % 22.85/3.39 % SZS status Theorem % 22.85/3.39 % SZS output begin IncompleteProof % 22.85/3.39 cnf(c0, axiom, % 22.85/3.39 pls = hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))). % 22.85/3.39 cnf(c1, plain, % 22.85/3.39 pls = hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))), % 22.85/3.39 inference(start, [], [c0])). % 22.85/3.39 % 22.85/3.39 cnf(c2, axiom, % 22.85/3.39 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),hAPP_nat_int(power_power_int(X0),X1))) | ~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X0))). % 22.85/3.39 cnf(a0, assumption, % 22.85/3.39 hAPP_nat_int(power_power_int(X0),X1) = hAPP_nat_int(power_power_int(hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))),number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls))))). % 22.85/3.39 cnf(a1, assumption, % 22.85/3.39 pls = X2). % 22.85/3.39 cnf(c3, plain, % 22.85/3.39 $false, % 22.85/3.39 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 22.85/3.39 cnf(c4, plain, % 22.85/3.39 ~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X0)), % 22.85/3.39 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 22.85/3.39 cnf(c5, plain, % 22.85/3.39 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X2)), % 22.85/3.39 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 22.85/3.39 % 22.85/3.39 cnf(c6, axiom, % 22.85/3.39 ~hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),pls))). % 22.85/3.39 cnf(a2, assumption, % 22.85/3.39 hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X2) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),pls)). % 22.85/3.39 cnf(c7, plain, % 22.85/3.39 $false, % 22.85/3.39 inference(strict_predicate_extension, [assumptions([a2])], [c5, c6])). % 22.85/3.39 cnf(c8, plain, % 22.85/3.39 $false, % 22.85/3.39 inference(strict_predicate_extension, [assumptions([a2])], [c5, c6])). % 22.85/3.39 % 22.85/3.39 cnf(c9, axiom, % 22.85/3.39 hBOOL(hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),hAPP_int_int(plus_plus_int(X3),hAPP_nat_int(semiri1621563631at_int,X4))))). % 22.85/3.39 cnf(a3, assumption, % 22.85/3.39 hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,one_one_int),X0) = hAPP_int_bool(hAPP_i1948725293t_bool(ord_less_eq_int,X3),hAPP_int_int(plus_plus_int(X3),hAPP_nat_int(semiri1621563631at_int,X4)))). % 22.85/3.39 cnf(c10, plain, % 22.85/3.39 $false, % 22.85/3.39 inference(strict_predicate_extension, [assumptions([a3])], [c4, c9])). % 22.85/3.39 cnf(c11, plain, % 22.85/3.39 $false, % 22.85/3.39 inference(strict_predicate_extension, [assumptions([a3])], [c4, c9])). % 22.85/3.39 % 22.85/3.39 cnf(c12, plain, % 22.85/3.39 $false, % 22.85/3.39 inference(constraint_solving, [ % 22.85/3.39 bind(X0, hAPP_int_int(plus_plus_int(one_one_int),hAPP_nat_int(semiri1621563631at_int,n))), % 22.85/3.39 bind(X1, number_number_of_nat(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)),hAPP_int_int(plus_plus_int(hAPP_int_int(plus_plus_int(one_one_int),pls)),pls)))), % 22.85/3.39 bind(X2, pls), % 22.85/3.39 bind(X3, one_one_int), % 22.85/3.39 bind(X4, n) % 22.85/3.39 ], % 22.85/3.39 [a0, a1, a2, a3])). % 22.85/3.39 % 22.85/3.39 % SZS output end IncompleteProof %------------------------------------------------------------------------------