%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : HAL003+3 : TPTP v8.1.0. Released v2.6.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n026.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 : Sat Jul 16 12:46:02 EDT 2022 % Result : Theorem 0.56s 0.77s % Output : Proof 0.56s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.10/0.12 % Problem : HAL003+3 : TPTP v8.1.0. Released v2.6.0. % 0.10/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.33 % Computer : n026.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 : Tue Jun 7 21:38:31 EDT 2022 % 0.13/0.33 % CPUTime : % 0.56/0.77 % SZS status Theorem % 0.56/0.77 (* PROOF-FOUND *) % 0.56/0.77 (* BEGIN-PROOF *) % 0.56/0.77 % SZS output start Proof % 0.56/0.77 1. (morphism (g) (b) (e)) (-. (morphism (g) (b) (e))) ### Axiom % 0.56/0.77 2. (element T_0 (b)) (-. (element T_0 (b))) ### Axiom % 0.56/0.77 3. (element T_1 (b)) (-. (element T_1 (b))) ### Axiom % 0.56/0.77 4. (-. (element (subtract (b) T_0 T_1) (b))) (element T_1 (b)) (element T_0 (b)) ### Extension/test/subtract_in_domainctrp 2 3 % 0.56/0.77 5. ((apply (g) (subtract (b) T_0 T_1)) = T_2) ((apply (g) (subtract (b) T_0 T_1)) != T_2) ### Axiom % 0.56/0.77 6. (-. ((element (subtract (b) T_0 T_1) (b)) /\ ((apply (g) (subtract (b) T_0 T_1)) = T_2))) ((apply (g) (subtract (b) T_0 T_1)) = T_2) (element T_0 (b)) (element T_1 (b)) ### NotAnd 4 5 % 0.56/0.77 7. (-. (Ex ElDom, ((element ElDom (b)) /\ ((apply (g) ElDom) = T_2)))) (element T_1 (b)) (element T_0 (b)) ((apply (g) (subtract (b) T_0 T_1)) = T_2) ### NotExists 6 % 0.56/0.77 8. (element T_2 (e)) (-. (Ex ElDom, ((element ElDom (b)) /\ ((apply (g) ElDom) = T_2)))) ### Extension/test/lemma12 7 % 0.56/0.77 9. (-. ((element T_2 (e)) => (Ex ElDom, ((element ElDom (b)) /\ ((apply (g) ElDom) = T_2))))) ### NotImply 8 % 0.56/0.77 10. (-. (All ElCod, ((element ElCod (e)) => (Ex ElDom, ((element ElDom (b)) /\ ((apply (g) ElDom) = ElCod)))))) ### NotAllEx 9 % 0.56/0.77 11. (-. (surjection (g))) (surjection (g)) ### Axiom % 0.56/0.77 12. (((morphism (g) (b) (e)) /\ (All ElCod, ((element ElCod (e)) => (Ex ElDom, ((element ElDom (b)) /\ ((apply (g) ElDom) = ElCod)))))) => (surjection (g))) (-. (surjection (g))) (morphism (g) (b) (e)) ### DisjTree 1 10 11 % 0.56/0.77 13. (All Cod, (((morphism (g) (b) Cod) /\ (All ElCod, ((element ElCod Cod) => (Ex ElDom, ((element ElDom (b)) /\ ((apply (g) ElDom) = ElCod)))))) => (surjection (g)))) (morphism (g) (b) (e)) (-. (surjection (g))) ### All 12 % 0.56/0.77 14. (All Dom, (All Cod, (((morphism (g) Dom Cod) /\ (All ElCod, ((element ElCod Cod) => (Ex ElDom, ((element ElDom Dom) /\ ((apply (g) ElDom) = ElCod)))))) => (surjection (g))))) (-. (surjection (g))) (morphism (g) (b) (e)) ### All 13 % 0.56/0.77 15. (All Morphism, (All Dom, (All Cod, (((morphism Morphism Dom Cod) /\ (All ElCod, ((element ElCod Cod) => (Ex ElDom, ((element ElDom Dom) /\ ((apply Morphism ElDom) = ElCod)))))) => (surjection Morphism))))) (morphism (g) (b) (e)) (-. (surjection (g))) ### All 14 % 0.56/0.77 % SZS output end Proof % 0.56/0.77 (* END-PROOF *) %------------------------------------------------------------------------------