%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWV160+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 : n016.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 21:50:12 EDT 2022 % Result : Theorem 15.57s 15.74s % Output : Proof 15.57s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWV160+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n016.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 % 0.13/0.33 % WCLimit : 600 % 0.13/0.33 % DateTime : Wed Jun 15 10:03:32 EDT 2022 % 0.13/0.33 % CPUTime : % 15.57/15.74 % SZS status Theorem % 15.57/15.74 (* PROOF-FOUND *) % 15.57/15.74 (* BEGIN-PROOF *) % 15.57/15.74 % SZS output start Proof % 15.57/15.74 1. ((pv10) != (pv10)) ### NotEqual % 15.57/15.74 2. (T_0 != T_0) ### Refl(=) % 15.57/15.74 3. (T_0 != T_0) ### Refl(=) % 15.57/15.74 4. ((pv10) != (succ (pred (pv10)))) ((succ (pred (pv10))) = (pv10)) ### Sym(=) % 15.57/15.74 5. (All X, ((succ (pred X)) = X)) ((pv10) != (succ (pred (pv10)))) ### All 4 % 15.57/15.74 6. (T_0 != T_0) ### Refl(=) % 15.57/15.74 7. (-. (gt (pv10) T_0)) (gt (succ (pred (pv10))) T_0) (All X, ((succ (pred X)) = X)) ### Trans 5 6 % 15.57/15.74 8. ((pv10) = T_0) ((pv10) != T_0) ### Axiom % 15.57/15.74 9. (-. (gt T_0 T_0)) ((pv10) = T_0) (All X, ((succ (pred X)) = X)) (gt (succ (pred (pv10))) T_0) ### TransEq2 3 7 8 % 15.57/15.74 10. (-. (gt T_0 (pv10))) (gt (succ (pred (pv10))) T_0) (All X, ((succ (pred X)) = X)) ((pv10) = T_0) ### TransEq2 2 9 1 % 15.57/15.74 11. ((pv10) = T_0) (T_0 != (pv10)) ### Sym(=) % 15.57/15.74 12. (-. (gt (pv10) (pv10))) ((pv10) = T_0) (All X, ((succ (pred X)) = X)) (gt (succ (pred (pv10))) T_0) ### TransEq 1 10 11 % 15.57/15.74 13. (All X, (-. (gt X X))) (gt (succ (pred (pv10))) T_0) (All X, ((succ (pred X)) = X)) ((pv10) = T_0) ### All 12 % 15.57/15.74 14. (leq T_0 (pred (pv10))) ((pv10) = T_0) (All X, ((succ (pred X)) = X)) (All X, (-. (gt X X))) ### Definition-Pseudo(leq) 13 % 15.57/15.74 15. (-. (((leq (n0) T_0) /\ (leq T_0 (pred (pv10)))) => (((pv10) = T_0) => ((sum (n0) (n4) (cond (tptp_term_equals (pv47) (tptp_sum_index)) (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)) (a_select3 (q) T_0 (tptp_sum_index)))) = (n1))))) (All X, (-. (gt X X))) (All X, ((succ (pred X)) = X)) ### ConjTree 14 % 15.57/15.74 16. (-. (All C, (((leq (n0) C) /\ (leq C (pred (pv10)))) => (((pv10) = C) => ((sum (n0) (n4) (cond (tptp_term_equals (pv47) (tptp_sum_index)) (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)) (a_select3 (q) C (tptp_sum_index)))) = (n1)))))) (All X, ((succ (pred X)) = X)) (All X, (-. (gt X X))) ### NotAllEx 15 % 15.57/15.74 17. (-. ((((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 (pred (pv10)))) => (((pv10) = C) => ((sum (n0) (n4) (cond (tptp_term_equals (pv47) (tptp_sum_index)) (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)) (a_select3 (q) C (tptp_sum_index)))) = (n1))))))) (All X, (-. (gt X X))) (All X, ((succ (pred X)) = X)) ### ConjTree 16 % 15.57/15.74 % SZS output end Proof % 15.57/15.74 (* END-PROOF *) %------------------------------------------------------------------------------