%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWV154+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 : n015.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 2.52s 2.73s % Output : Proof 2.52s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.12 % Problem : SWV154+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.11/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.34 % Computer : n015.cluster.edu % 0.12/0.34 % Model : x86_64 x86_64 % 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.34 % Memory : 8042.1875MB % 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.34 % CPULimit : 300 % 0.12/0.34 % WCLimit : 600 % 0.12/0.34 % DateTime : Wed Jun 15 12:26:40 EDT 2022 % 0.12/0.34 % CPUTime : % 2.52/2.73 % SZS status Theorem % 2.52/2.73 (* PROOF-FOUND *) % 2.52/2.73 (* BEGIN-PROOF *) % 2.52/2.73 % SZS output start Proof % 2.52/2.73 1. ((center) != (center)) ### NotEqual % 2.52/2.73 2. ((pv12) = T_0) ((pv12) != T_0) ### Axiom % 2.52/2.73 3. ((n0) != (n0)) ### NotEqual % 2.52/2.73 4. ((a_select3 (center) (pv12) (n0)) != (a_select3 (center) T_0 (n0))) ((pv12) = T_0) ### NotEqual 1 2 3 % 2.52/2.73 5. ((a_select2 (x) (pv10)) != (a_select2 (x) (pv10))) ### Refl(=) % 2.52/2.73 6. ((minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))) != (minus (a_select3 (center) T_0 (n0)) (a_select2 (x) (pv10)))) ((pv12) = T_0) ### NotEqual 4 5 % 2.52/2.73 7. ((times (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10)))) != (times (minus (a_select3 (center) T_0 (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) T_0 (n0)) (a_select2 (x) (pv10))))) ((pv12) = T_0) ### NotEqual 6 6 % 2.52/2.73 8. ((sqrt (times (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))))) != (sqrt (times (minus (a_select3 (center) T_0 (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) T_0 (n0)) (a_select2 (x) (pv10)))))) ((pv12) = T_0) ### NotEqual 7 % 2.52/2.73 9. ((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))))))) ((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))))))) ### Axiom % 2.52/2.73 10. ((divide (sqrt (times (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))))) (pv70)) != (divide (sqrt (times (minus (a_select3 (center) T_0 (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) T_0 (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)))))))) ((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))))))) ((pv12) = T_0) ### NotEqual 8 9 % 2.52/2.73 11. (-. (((leq (n0) T_0) /\ (leq T_0 (pv12))) => (((pv12) = T_0) => ((divide (sqrt (times (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))))) (pv70)) = (divide (sqrt (times (minus (a_select3 (center) T_0 (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) T_0 (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))))))))))) ((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))))))) ### ConjTree 10 % 2.52/2.73 12. (-. (All C, (((leq (n0) C) /\ (leq C (pv12))) => (((pv12) = C) => ((divide (sqrt (times (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))))) (pv70)) = (divide (sqrt (times (minus (a_select3 (center) C (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) C (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)))))))))))) ((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))))))) ### NotAllEx 11 % 2.52/2.73 13. (-. ((((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 (pv12))) => (((pv12) = C) => ((divide (sqrt (times (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) (pv12) (n0)) (a_select2 (x) (pv10))))) (pv70)) = (divide (sqrt (times (minus (a_select3 (center) C (n0)) (a_select2 (x) (pv10))) (minus (a_select3 (center) C (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))))))))))))) ### ConjTree 12 % 2.52/2.73 % SZS output end Proof % 2.52/2.73 (* END-PROOF *) %------------------------------------------------------------------------------