%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWV155+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 : n027.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 10.05s 10.25s % Output : Proof 10.05s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SWV155+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n027.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 : Thu Jun 16 00:20:35 EDT 2022 % 0.13/0.34 % CPUTime : % 10.05/10.25 % SZS status Theorem % 10.05/10.25 (* PROOF-FOUND *) % 10.05/10.25 (* BEGIN-PROOF *) % 10.05/10.25 % SZS output start Proof % 10.05/10.25 1. (gt (succ T_0) (n0)) (-. (gt (succ T_0) (n0))) ### Axiom % 10.05/10.25 2. (-. (leq (n0) T_0)) (gt (succ T_0) (n0)) ### Definition-Pseudo(leq) 1 % 10.05/10.25 3. (gt (succ (pred (pv10))) T_0) (-. (gt (succ (pred (pv10))) T_0)) ### Axiom % 10.05/10.25 4. (-. (leq T_0 (pred (pv10)))) (gt (succ (pred (pv10))) T_0) ### Definition-Pseudo(leq) 3 % 10.05/10.25 5. ((sum (n0) (n4) (a_select3 (q) T_0 (tptp_sum_index))) != (n1)) ((sum (n0) (n4) (a_select3 (q) T_0 (tptp_sum_index))) = (n1)) ### Axiom % 10.05/10.25 6. (((leq (n0) T_0) /\ (leq T_0 (pred (pv10)))) => ((sum (n0) (n4) (a_select3 (q) T_0 (tptp_sum_index))) = (n1))) ((sum (n0) (n4) (a_select3 (q) T_0 (tptp_sum_index))) != (n1)) (gt (succ (pred (pv10))) T_0) (gt (succ T_0) (n0)) ### DisjTree 2 4 5 % 10.05/10.25 7. (All B, (((leq (n0) B) /\ (leq B (pred (pv10)))) => ((sum (n0) (n4) (a_select3 (q) B (tptp_sum_index))) = (n1)))) (gt (succ T_0) (n0)) (gt (succ (pred (pv10))) T_0) ((sum (n0) (n4) (a_select3 (q) T_0 (tptp_sum_index))) != (n1)) ### All 6 % 10.05/10.25 8. (leq T_0 (pred (pv10))) ((sum (n0) (n4) (a_select3 (q) T_0 (tptp_sum_index))) != (n1)) (gt (succ T_0) (n0)) (All B, (((leq (n0) B) /\ (leq B (pred (pv10)))) => ((sum (n0) (n4) (a_select3 (q) B (tptp_sum_index))) = (n1)))) ### Definition-Pseudo(leq) 7 % 10.05/10.25 9. (leq (n0) T_0) (All B, (((leq (n0) B) /\ (leq B (pred (pv10)))) => ((sum (n0) (n4) (a_select3 (q) B (tptp_sum_index))) = (n1)))) ((sum (n0) (n4) (a_select3 (q) T_0 (tptp_sum_index))) != (n1)) (leq T_0 (pred (pv10))) ### Definition-Pseudo(leq) 8 % 10.05/10.25 10. (-. (((leq (n0) T_0) /\ (leq T_0 (pred (pv10)))) => (((pv10) != T_0) => ((sum (n0) (n4) (a_select3 (q) T_0 (tptp_sum_index))) = (n1))))) (All B, (((leq (n0) B) /\ (leq B (pred (pv10)))) => ((sum (n0) (n4) (a_select3 (q) B (tptp_sum_index))) = (n1)))) ### ConjTree 9 % 10.05/10.25 11. (-. (All C, (((leq (n0) C) /\ (leq C (pred (pv10)))) => (((pv10) != C) => ((sum (n0) (n4) (a_select3 (q) C (tptp_sum_index))) = (n1)))))) (All B, (((leq (n0) B) /\ (leq B (pred (pv10)))) => ((sum (n0) (n4) (a_select3 (q) B (tptp_sum_index))) = (n1)))) ### NotAllEx 10 % 10.05/10.25 12. (-. ((((pv70) = (sum (n0) (n4) (sqrt (times (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))))))) /\ ((leq (n0) (pv10)) /\ ((leq (n0) (pv12)) /\ ((leq (pv10) (n135299)) /\ ((leq (pv12) (n4)) /\ ((All A, (((leq (n0) A) /\ (leq A (pred (pv12)))) => ((a_select3 (q) (pv10) A) = (divide (sqrt (times (minus (a_select3 (center) A (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) A (n0)) (a_select2 (x) (pv10))))) (sum (n0) (n4) (sqrt (times (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (tptp_sum_index) (n0)) (a_select2 (x) (pv10)))))))))) /\ (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) (a_select3 (q) C (tptp_sum_index))) = (n1))))))) ### ConjTree 11 % 10.05/10.25 % SZS output end Proof % 10.05/10.25 (* END-PROOF *) %------------------------------------------------------------------------------