%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : ITP010+2 : TPTP v8.1.0. Bugfixed v7.5.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n021.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 : Sun Jul 17 00:41:57 EDT 2022 % Result : Theorem 0.11s 0.40s % Output : Proof 0.11s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.11/0.11 % Problem : ITP010+2 : TPTP v8.1.0. Bugfixed v7.5.0. % 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.11/0.33 % Computer : n021.cluster.edu % 0.11/0.33 % Model : x86_64 x86_64 % 0.11/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.33 % Memory : 8042.1875MB % 0.11/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.33 % CPULimit : 300 % 0.11/0.33 % WCLimit : 600 % 0.11/0.33 % DateTime : Fri Jun 3 03:04:32 EDT 2022 % 0.11/0.33 % CPUTime : % 0.11/0.40 % SZS status Theorem % 0.11/0.40 (* PROOF-FOUND *) % 0.11/0.40 (* BEGIN-PROOF *) % 0.11/0.40 % SZS output start Proof % 0.11/0.40 1. (-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 T_1) T_2) T_3))) (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 T_1) T_2) T_3)) ### Axiom % 0.11/0.40 2. (-. (-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 T_1) T_2) T_3)))) (-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 T_1) T_2) T_3))) ### NotNot 1 % 0.11/0.40 3. (-. (-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 T_1) T_2) T_3)))) (-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 T_1) T_2) T_3))) ### Axiom % 0.11/0.40 4. (-. ((-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 T_1) T_2) T_3))) <=> (-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 T_1) T_2) T_3))))) ### NotEquiv 2 3 % 0.11/0.40 5. (-. ((mem T_3 (arr T_1 (bool))) => ((-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 T_1) T_2) T_3))) <=> (-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 T_1) T_2) T_3)))))) ### NotImply 4 % 0.11/0.40 6. (-. (All V1t, ((mem V1t (arr T_1 (bool))) => ((-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 T_1) T_2) V1t))) <=> (-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 T_1) T_2) V1t))))))) ### NotAllEx 5 % 0.11/0.40 7. (-. ((mem T_2 (arr T_0 (bool))) => (All V1t, ((mem V1t (arr T_1 (bool))) => ((-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 T_1) T_2) V1t))) <=> (-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 T_1) T_2) V1t)))))))) ### NotImply 6 % 0.11/0.40 8. (-. (All V0s, ((mem V0s (arr T_0 (bool))) => (All V1t, ((mem V1t (arr T_1 (bool))) => ((-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 T_1) V0s) V1t))) <=> (-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 T_1) V0s) V1t))))))))) ### NotAllEx 7 % 0.11/0.40 9. (-. ((ne T_1) => (All V0s, ((mem V0s (arr T_0 (bool))) => (All V1t, ((mem V1t (arr T_1 (bool))) => ((-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 T_1) V0s) V1t))) <=> (-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 T_1) V0s) V1t)))))))))) ### NotImply 8 % 0.11/0.40 10. (-. (All A_27b, ((ne A_27b) => (All V0s, ((mem V0s (arr T_0 (bool))) => (All V1t, ((mem V1t (arr A_27b (bool))) => ((-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 A_27b) V0s) V1t))) <=> (-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 A_27b) V0s) V1t))))))))))) ### NotAllEx 9 % 0.11/0.40 11. (-. ((ne T_0) => (All A_27b, ((ne A_27b) => (All V0s, ((mem V0s (arr T_0 (bool))) => (All V1t, ((mem V1t (arr A_27b (bool))) => ((-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 A_27b) V0s) V1t))) <=> (-. (p (ap (ap (c_2Ecardinal_2Ecardleq T_0 A_27b) V0s) V1t)))))))))))) ### NotImply 10 % 0.11/0.40 12. (-. (All A_27a, ((ne A_27a) => (All A_27b, ((ne A_27b) => (All V0s, ((mem V0s (arr A_27a (bool))) => (All V1t, ((mem V1t (arr A_27b (bool))) => ((-. (p (ap (ap (c_2Ecardinal_2Ecardleq A_27a A_27b) V0s) V1t))) <=> (-. (p (ap (ap (c_2Ecardinal_2Ecardleq A_27a A_27b) V0s) V1t))))))))))))) ### NotAllEx 11 % 0.11/0.40 % SZS output end Proof % 0.11/0.40 (* END-PROOF *) %------------------------------------------------------------------------------