%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SWV142+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 : n020.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 21:50:08 EDT 2022 % Result : Theorem 6.64s 6.85s % Output : Proof 6.64s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SWV142+1 : TPTP v8.1.0. Bugfixed v3.3.0. % 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n020.cluster.edu % 0.13/0.34 % Model : x86_64 x86_64 % 0.13/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.13/0.34 % Memory : 8042.1875MB % 0.13/0.34 % OS : Linux 3.10.0-693.el7.x86_64 % 0.13/0.34 % CPULimit : 300 % 0.13/0.34 % WCLimit : 600 % 0.13/0.34 % DateTime : Tue Jun 14 14:27:34 EDT 2022 % 0.13/0.34 % CPUTime : % 6.64/6.85 % SZS status Theorem % 6.64/6.85 (* PROOF-FOUND *) % 6.64/6.85 (* BEGIN-PROOF *) % 6.64/6.85 % SZS output start Proof % 6.64/6.85 1. ((succ (loopcounter)) != (succ (loopcounter))) ### Refl(=) % 6.64/6.85 2. ((succ (n0)) = (n1)) ((n1) != (succ (n0))) ### Sym(=) % 6.64/6.85 3. (-. (gt (succ (loopcounter)) (succ (n0)))) (gt (succ (loopcounter)) (n1)) ((succ (n0)) = (n1)) ### Trans 1 2 % 6.64/6.85 4. (-. (leq (succ (n0)) (loopcounter))) ((succ (n0)) = (n1)) (gt (succ (loopcounter)) (n1)) ### Definition-Pseudo(leq) 3 % 6.64/6.85 5. (-. (gt (loopcounter) (n0))) (gt (loopcounter) (n0)) ### Axiom % 6.64/6.85 6. ((leq (succ (n0)) (loopcounter)) => (gt (loopcounter) (n0))) (-. (gt (loopcounter) (n0))) (gt (succ (loopcounter)) (n1)) ((succ (n0)) = (n1)) ### Imply 4 5 % 6.64/6.85 7. (All Y, ((leq (succ (n0)) Y) => (gt Y (n0)))) ((succ (n0)) = (n1)) (gt (succ (loopcounter)) (n1)) (-. (gt (loopcounter) (n0))) ### All 6 % 6.64/6.85 8. (All X, (All Y, ((leq (succ X) Y) => (gt Y X)))) (-. (gt (loopcounter) (n0))) (gt (succ (loopcounter)) (n1)) ((succ (n0)) = (n1)) ### All 7 % 6.64/6.85 9. (-. (gt (succ (n3)) (s_best7))) (gt (succ (n3)) (s_best7)) ### Axiom % 6.64/6.85 10. (leq (s_best7) (n3)) (-. (gt (succ (n3)) (s_best7))) ### Definition-Pseudo(leq) 9 % 6.64/6.85 11. ((gt (loopcounter) (n0)) => (leq (s_best7) (n3))) (-. (gt (succ (n3)) (s_best7))) ((succ (n0)) = (n1)) (gt (succ (loopcounter)) (n1)) (All X, (All Y, ((leq (succ X) Y) => (gt Y X)))) ### Imply 8 10 % 6.64/6.85 12. (-. (leq (s_best7) (n3))) (All X, (All Y, ((leq (succ X) Y) => (gt Y X)))) (gt (succ (loopcounter)) (n1)) ((succ (n0)) = (n1)) ((gt (loopcounter) (n0)) => (leq (s_best7) (n3))) ### Definition-Pseudo(leq) 11 % 6.64/6.85 13. (leq (n1) (loopcounter)) ((gt (loopcounter) (n0)) => (leq (s_best7) (n3))) ((succ (n0)) = (n1)) (All X, (All Y, ((leq (succ X) Y) => (gt Y X)))) (-. (leq (s_best7) (n3))) ### Definition-Pseudo(leq) 12 % 6.64/6.85 14. (-. (((leq (tptp_float_0_001) (pv1341)) /\ ((leq (n1) (loopcounter)) /\ (((-. (leq (tptp_float_0_001) (pv1341))) => (leq (n0) (s_best7))) /\ (((-. (leq (tptp_float_0_001) (pv1341))) => (leq (n0) (s_sworst7))) /\ (((-. (leq (tptp_float_0_001) (pv1341))) => (leq (n0) (s_worst7))) /\ (((-. (leq (tptp_float_0_001) (pv1341))) => (leq (s_best7) (n3))) /\ (((-. (leq (tptp_float_0_001) (pv1341))) => (leq (s_sworst7) (n3))) /\ (((-. (leq (tptp_float_0_001) (pv1341))) => (leq (s_worst7) (n3))) /\ (((gt (loopcounter) (n0)) => (leq (n0) (s_best7))) /\ (((gt (loopcounter) (n0)) => (leq (n0) (s_sworst7))) /\ (((gt (loopcounter) (n0)) => (leq (n0) (s_worst7))) /\ (((gt (loopcounter) (n0)) => (leq (s_best7) (n3))) /\ (((gt (loopcounter) (n0)) => (leq (s_sworst7) (n3))) /\ ((gt (loopcounter) (n0)) => (leq (s_worst7) (n3)))))))))))))))) => (leq (s_best7) (n3)))) (All X, (All Y, ((leq (succ X) Y) => (gt Y X)))) ((succ (n0)) = (n1)) ### ConjTree 13 % 6.64/6.85 % SZS output end Proof % 6.64/6.85 (* END-PROOF *) %------------------------------------------------------------------------------