%------------------------------------------------------------------------------ % File : lazyCoP---0.1 % Problem : SWV158+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % Computer : n022.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 : Wed Jul 20 19:45:43 EDT 2022 % Result : Theorem 0.20s 0.40s % Output : Assurance 0s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----No solution output by system %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.13 % Problem : SWV158+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.13/0.13 % Command : vampire -t 0 --mode clausify %d -updr off -nm 2 -erd input_only -icip on | lazycop % 0.13/0.35 % Computer : n022.cluster.edu % 0.13/0.35 % Model : x86_64 x86_64 % 0.13/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.35 % Memory : 8042.1875MB % 0.13/0.35 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.35 % CPULimit : 300 % 0.13/0.35 % WCLimit : 600 % 0.13/0.35 % DateTime : Wed Jun 15 02:44:03 EDT 2022 % 0.20/0.35 % CPUTime : % 0.20/0.40 % SZS status Theorem % 0.20/0.40 % SZS output begin IncompleteProof % 0.20/0.40 cnf(c0, axiom, % 0.20/0.40 pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))). % 0.20/0.40 cnf(c1, plain, % 0.20/0.40 pv84 = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))), % 0.20/0.40 inference(start, [], [c0])). % 0.20/0.40 % 0.20/0.40 cnf(c2, axiom, % 0.20/0.40 divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK41)),minus(a_select2(x,pv10),a_select2(mu,sK41))),tptp_minus_2),times(a_select2(sigma,sK41),a_select2(sigma,sK41)))),a_select2(rho,sK41)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK41))),sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK41)),minus(a_select2(x,pv10),a_select2(mu,sK41))),tptp_minus_2),times(a_select2(sigma,sK41),a_select2(sigma,sK41)))),a_select2(rho,sK41)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK41))),pv84)). % 0.20/0.40 cnf(a0, assumption, % 0.20/0.40 sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index)))) = sum(n0,n4,divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index)),minus(a_select2(x,pv10),a_select2(mu,tptp_sum_index))),tptp_minus_2),times(a_select2(sigma,tptp_sum_index),a_select2(sigma,tptp_sum_index)))),a_select2(rho,tptp_sum_index)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,tptp_sum_index))))). % 0.20/0.40 cnf(a1, assumption, % 0.20/0.40 pv84 = X0). % 0.20/0.40 cnf(c3, plain, % 0.20/0.40 $false, % 0.20/0.40 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 0.20/0.40 cnf(c4, plain, % 0.20/0.40 $false, % 0.20/0.40 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 0.20/0.40 cnf(c5, plain, % 0.20/0.40 divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK41)),minus(a_select2(x,pv10),a_select2(mu,sK41))),tptp_minus_2),times(a_select2(sigma,sK41),a_select2(sigma,sK41)))),a_select2(rho,sK41)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK41))),X0) != divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK41)),minus(a_select2(x,pv10),a_select2(mu,sK41))),tptp_minus_2),times(a_select2(sigma,sK41),a_select2(sigma,sK41)))),a_select2(rho,sK41)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK41))),pv84), % 0.20/0.40 inference(strict_subterm_extension, [assumptions([a0, a1])], [c1, c2])). % 0.20/0.40 % 0.20/0.40 cnf(a2, assumption, % 0.20/0.40 divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK41)),minus(a_select2(x,pv10),a_select2(mu,sK41))),tptp_minus_2),times(a_select2(sigma,sK41),a_select2(sigma,sK41)))),a_select2(rho,sK41)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK41))),X0) = divide(divide(times(exp(divide(divide(times(minus(a_select2(x,pv10),a_select2(mu,sK41)),minus(a_select2(x,pv10),a_select2(mu,sK41))),tptp_minus_2),times(a_select2(sigma,sK41),a_select2(sigma,sK41)))),a_select2(rho,sK41)),times(sqrt(times(n2,tptp_pi)),a_select2(sigma,sK41))),pv84)). % 0.20/0.40 cnf(c6, plain, % 0.20/0.40 $false, % 0.20/0.40 inference(reflexivity, [assumptions([a2])], [c5])). % 0.20/0.40 % 0.20/0.40 cnf(c7, plain, % 0.20/0.40 $false, % 0.20/0.40 inference(constraint_solving, [ % 0.20/0.40 bind(X0, pv84) % 0.20/0.40 ], % 0.20/0.40 [a0, a1, a2])). % 0.20/0.40 % 0.20/0.40 % SZS output end IncompleteProof %------------------------------------------------------------------------------