%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWV158+1 : TPTP v8.1.0. Bugfixed v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n011.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 21:50:11 EDT 2022 % Result : Theorem 2.63s 2.80s % Output : Proof 2.63s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.00/0.12 % Problem : SWV158+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.00/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n011.cluster.edu % 0.13/0.33 % Model : x86_64 x86_64 % 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.33 % Memory : 8042.1875MB % 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.33 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Wed Jun 15 02:40:35 EDT 2022 % 0.13/0.34 % CPUTime : % 2.63/2.80 % SZS status Theorem % 2.63/2.80 (* PROOF-FOUND *) % 2.63/2.80 (* BEGIN-PROOF *) % 2.63/2.80 % SZS output start Proof % 2.63/2.80 1. ((a_select2 (x) (pv10)) != (a_select2 (x) (pv10))) ### Refl(=) % 2.63/2.80 2. ((mu) != (mu)) ### NotEqual % 2.63/2.80 3. ((pv47) = T_0) ((pv47) != T_0) ### Axiom % 2.63/2.80 4. ((a_select2 (mu) (pv47)) != (a_select2 (mu) T_0)) ((pv47) = T_0) ### NotEqual 2 3 % 2.63/2.80 5. ((minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47))) != (minus (a_select2 (x) (pv10)) (a_select2 (mu) T_0))) ((pv47) = T_0) ### NotEqual 1 4 % 2.63/2.80 6. ((times (minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47))) (minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47)))) != (times (minus (a_select2 (x) (pv10)) (a_select2 (mu) T_0)) (minus (a_select2 (x) (pv10)) (a_select2 (mu) T_0)))) ((pv47) = T_0) ### NotEqual 5 5 % 2.63/2.80 7. ((tptp_minus_2) != (tptp_minus_2)) ### NotEqual % 2.63/2.80 8. ((divide (times (minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47))) (minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47)))) (tptp_minus_2)) != (divide (times (minus (a_select2 (x) (pv10)) (a_select2 (mu) T_0)) (minus (a_select2 (x) (pv10)) (a_select2 (mu) T_0))) (tptp_minus_2))) ((pv47) = T_0) ### NotEqual 6 7 % 2.63/2.80 9. ((sigma) != (sigma)) ### NotEqual % 2.63/2.80 10. ((pv47) = T_0) ((pv47) != T_0) ### Axiom % 2.63/2.80 11. ((a_select2 (sigma) (pv47)) != (a_select2 (sigma) T_0)) ((pv47) = T_0) ### NotEqual 9 10 % 2.63/2.80 12. ((times (a_select2 (sigma) (pv47)) (a_select2 (sigma) (pv47))) != (times (a_select2 (sigma) T_0) (a_select2 (sigma) T_0))) ((pv47) = T_0) ### NotEqual 11 11 % 2.63/2.80 13. ((divide (divide (times (minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47))) (minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47)))) (tptp_minus_2)) (times (a_select2 (sigma) (pv47)) (a_select2 (sigma) (pv47)))) != (divide (divide (times (minus (a_select2 (x) (pv10)) (a_select2 (mu) T_0)) (minus (a_select2 (x) (pv10)) (a_select2 (mu) T_0))) (tptp_minus_2)) (times (a_select2 (sigma) T_0) (a_select2 (sigma) T_0)))) ((pv47) = T_0) ### NotEqual 8 12 % 2.63/2.80 14. ((exp (divide (divide (times (minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47))) (minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47)))) (tptp_minus_2)) (times (a_select2 (sigma) (pv47)) (a_select2 (sigma) (pv47))))) != (exp (divide (divide (times (minus (a_select2 (x) (pv10)) (a_select2 (mu) T_0)) (minus (a_select2 (x) (pv10)) (a_select2 (mu) T_0))) (tptp_minus_2)) (times (a_select2 (sigma) T_0) (a_select2 (sigma) T_0))))) ((pv47) = T_0) ### NotEqual 13 % 2.63/2.80 15. ((rho) != (rho)) ### NotEqual % 2.63/2.80 16. ((pv47) = T_0) ((pv47) != T_0) ### Axiom % 2.63/2.80 17. ((a_select2 (rho) (pv47)) != (a_select2 (rho) T_0)) ((pv47) = T_0) ### NotEqual 15 16 % 2.63/2.80 18. ((times (exp (divide (divide (times (minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47))) (minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47)))) (tptp_minus_2)) (times (a_select2 (sigma) (pv47)) (a_select2 (sigma) (pv47))))) (a_select2 (rho) (pv47))) != (times (exp (divide (divide (times (minus (a_select2 (x) (pv10)) (a_select2 (mu) T_0)) (minus (a_select2 (x) (pv10)) (a_select2 (mu) T_0))) (tptp_minus_2)) (times (a_select2 (sigma) T_0) (a_select2 (sigma) T_0)))) (a_select2 (rho) T_0))) ((pv47) = T_0) ### NotEqual 14 17 % 2.63/2.80 19. ((sqrt (times (n2) (tptp_pi))) != (sqrt (times (n2) (tptp_pi)))) ### Refl(=) % 2.63/2.80 20. ((times (sqrt (times (n2) (tptp_pi))) (a_select2 (sigma) (pv47))) != (times (sqrt (times (n2) (tptp_pi))) (a_select2 (sigma) T_0))) ((pv47) = T_0) ### NotEqual 19 11 % 2.63/2.80 21. ((divide (times (exp (divide (divide (times (minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47))) (minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47)))) (tptp_minus_2)) (times (a_select2 (sigma) (pv47)) (a_select2 (sigma) (pv47))))) (a_select2 (rho) (pv47))) (times (sqrt (times (n2) (tptp_pi))) (a_select2 (sigma) (pv47)))) != (divide (times (exp (divide (divide (times (minus (a_select2 (x) (pv10)) (a_select2 (mu) T_0)) (minus (a_select2 (x) (pv10)) (a_select2 (mu) T_0))) (tptp_minus_2)) (times (a_select2 (sigma) T_0) (a_select2 (sigma) T_0)))) (a_select2 (rho) T_0)) (times (sqrt (times (n2) (tptp_pi))) (a_select2 (sigma) T_0)))) ((pv47) = T_0) ### NotEqual 18 20 % 2.63/2.80 22. ((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)))))) ((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)))))) ### Axiom % 2.63/2.80 23. ((divide (divide (times (exp (divide (divide (times (minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47))) (minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47)))) (tptp_minus_2)) (times (a_select2 (sigma) (pv47)) (a_select2 (sigma) (pv47))))) (a_select2 (rho) (pv47))) (times (sqrt (times (n2) (tptp_pi))) (a_select2 (sigma) (pv47)))) (pv84)) != (divide (divide (times (exp (divide (divide (times (minus (a_select2 (x) (pv10)) (a_select2 (mu) T_0)) (minus (a_select2 (x) (pv10)) (a_select2 (mu) T_0))) (tptp_minus_2)) (times (a_select2 (sigma) T_0) (a_select2 (sigma) T_0)))) (a_select2 (rho) T_0)) (times (sqrt (times (n2) (tptp_pi))) (a_select2 (sigma) T_0))) (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))))))) ((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)))))) ((pv47) = T_0) ### NotEqual 21 22 % 2.63/2.80 24. (-. (((leq (n0) T_0) /\ (leq T_0 (pv47))) => (((pv47) = T_0) => ((divide (divide (times (exp (divide (divide (times (minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47))) (minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47)))) (tptp_minus_2)) (times (a_select2 (sigma) (pv47)) (a_select2 (sigma) (pv47))))) (a_select2 (rho) (pv47))) (times (sqrt (times (n2) (tptp_pi))) (a_select2 (sigma) (pv47)))) (pv84)) = (divide (divide (times (exp (divide (divide (times (minus (a_select2 (x) (pv10)) (a_select2 (mu) T_0)) (minus (a_select2 (x) (pv10)) (a_select2 (mu) T_0))) (tptp_minus_2)) (times (a_select2 (sigma) T_0) (a_select2 (sigma) T_0)))) (a_select2 (rho) T_0)) (times (sqrt (times (n2) (tptp_pi))) (a_select2 (sigma) T_0))) (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)))))))))) ((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)))))) ### ConjTree 23 % 2.63/2.80 25. (-. (All C, (((leq (n0) C) /\ (leq C (pv47))) => (((pv47) = C) => ((divide (divide (times (exp (divide (divide (times (minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47))) (minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47)))) (tptp_minus_2)) (times (a_select2 (sigma) (pv47)) (a_select2 (sigma) (pv47))))) (a_select2 (rho) (pv47))) (times (sqrt (times (n2) (tptp_pi))) (a_select2 (sigma) (pv47)))) (pv84)) = (divide (divide (times (exp (divide (divide (times (minus (a_select2 (x) (pv10)) (a_select2 (mu) C)) (minus (a_select2 (x) (pv10)) (a_select2 (mu) C))) (tptp_minus_2)) (times (a_select2 (sigma) C) (a_select2 (sigma) C)))) (a_select2 (rho) C)) (times (sqrt (times (n2) (tptp_pi))) (a_select2 (sigma) C))) (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))))))))))) ((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)))))) ### NotAllEx 24 % 2.63/2.80 26. (-. ((((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)))))) /\ ((leq (n0) (pv10)) /\ ((leq (n0) (pv47)) /\ ((leq (pv10) (n135299)) /\ ((leq (pv47) (n4)) /\ ((All A, (((leq (n0) A) /\ (leq A (pred (pv47)))) => ((a_select3 (q) (pv10) A) = (divide (divide (times (exp (divide (divide (times (minus (a_select2 (x) (pv10)) (a_select2 (mu) A)) (minus (a_select2 (x) (pv10)) (a_select2 (mu) A))) (tptp_minus_2)) (times (a_select2 (sigma) A) (a_select2 (sigma) A)))) (a_select2 (rho) A)) (times (sqrt (times (n2) (tptp_pi))) (a_select2 (sigma) A))) (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))))))))) /\ (All B, (((leq (n0) B) /\ (leq B (pred (pv10)))) => ((sum (n0) (n4) (a_select3 (q) B (tptp_sum_index))) = (n1)))))))))) => (All C, (((leq (n0) C) /\ (leq C (pv47))) => (((pv47) = C) => ((divide (divide (times (exp (divide (divide (times (minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47))) (minus (a_select2 (x) (pv10)) (a_select2 (mu) (pv47)))) (tptp_minus_2)) (times (a_select2 (sigma) (pv47)) (a_select2 (sigma) (pv47))))) (a_select2 (rho) (pv47))) (times (sqrt (times (n2) (tptp_pi))) (a_select2 (sigma) (pv47)))) (pv84)) = (divide (divide (times (exp (divide (divide (times (minus (a_select2 (x) (pv10)) (a_select2 (mu) C)) (minus (a_select2 (x) (pv10)) (a_select2 (mu) C))) (tptp_minus_2)) (times (a_select2 (sigma) C) (a_select2 (sigma) C)))) (a_select2 (rho) C)) (times (sqrt (times (n2) (tptp_pi))) (a_select2 (sigma) C))) (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)))))))))))) ### ConjTree 25 % 2.63/2.80 % SZS output end Proof % 2.63/2.80 (* END-PROOF *) %------------------------------------------------------------------------------