%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SEU126+1 : TPTP v8.1.0. Released v3.3.0. % Transfm : none % Format : tptp:raw % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % Computer : n010.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 : Tue Jul 19 14:48:28 EDT 2022 % Result : Theorem 0.39s 0.55s % Output : Proof 0.39s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.07/0.12 % Problem : SEU126+1 : TPTP v8.1.0. Released v3.3.0. % 0.07/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.12/0.33 % Computer : n010.cluster.edu % 0.12/0.33 % Model : x86_64 x86_64 % 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.12/0.33 % Memory : 8042.1875MB % 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64 % 0.12/0.33 % CPULimit : 300 % 0.12/0.33 % WCLimit : 600 % 0.12/0.33 % DateTime : Sun Jun 19 22:51:37 EDT 2022 % 0.12/0.33 % CPUTime : % 0.39/0.55 % SZS status Theorem % 0.39/0.55 (* PROOF-FOUND *) % 0.39/0.55 (* BEGIN-PROOF *) % 0.39/0.55 % SZS output start Proof % 0.39/0.55 1. (in T_0 T_1) (-. (in T_0 T_1)) ### Axiom % 0.39/0.55 2. (-. (in T_0 T_2)) (in T_0 T_2) ### Axiom % 0.39/0.55 3. ((in T_0 T_1) => (in T_0 T_2)) (-. (in T_0 T_2)) (in T_0 T_1) ### Imply 1 2 % 0.39/0.55 4. (All C, ((in C T_1) => (in C T_2))) (in T_0 T_1) (-. (in T_0 T_2)) ### All 3 % 0.39/0.55 5. (-. (in T_0 T_2)) (in T_0 T_2) ### Axiom % 0.39/0.55 6. ((in T_0 T_1) \/ (in T_0 T_2)) (-. (in T_0 T_2)) (All C, ((in C T_1) => (in C T_2))) ### Or 4 5 % 0.39/0.55 7. (in T_0 T_2) (-. (in T_0 T_2)) ### Axiom % 0.39/0.55 8. (-. ((in T_0 T_1) \/ (in T_0 T_2))) (in T_0 T_2) ### NotOr 7 % 0.39/0.55 9. (-. ((in T_0 T_2) <=> ((in T_0 T_1) \/ (in T_0 T_2)))) (All C, ((in C T_1) => (in C T_2))) ### NotEquiv 6 8 % 0.39/0.55 10. (-. (All D, ((in D T_2) <=> ((in D T_1) \/ (in D T_2))))) (All C, ((in C T_1) => (in C T_2))) ### NotAllEx 9 % 0.39/0.55 11. ((set_union2 T_1 T_2) != T_2) (T_2 = (set_union2 T_1 T_2)) ### Sym(=) % 0.39/0.55 12. ((T_2 = (set_union2 T_1 T_2)) <=> (All D, ((in D T_2) <=> ((in D T_1) \/ (in D T_2))))) ((set_union2 T_1 T_2) != T_2) (All C, ((in C T_1) => (in C T_2))) ### Equiv 10 11 % 0.39/0.55 13. (All C, ((C = (set_union2 T_1 T_2)) <=> (All D, ((in D C) <=> ((in D T_1) \/ (in D T_2)))))) (All C, ((in C T_1) => (in C T_2))) ((set_union2 T_1 T_2) != T_2) ### All 12 % 0.39/0.55 14. (All B, (All C, ((C = (set_union2 T_1 B)) <=> (All D, ((in D C) <=> ((in D T_1) \/ (in D B))))))) ((set_union2 T_1 T_2) != T_2) (All C, ((in C T_1) => (in C T_2))) ### All 13 % 0.39/0.55 15. (All A, (All B, (All C, ((C = (set_union2 A B)) <=> (All D, ((in D C) <=> ((in D A) \/ (in D B)))))))) (All C, ((in C T_1) => (in C T_2))) ((set_union2 T_1 T_2) != T_2) ### All 14 % 0.39/0.55 16. (subset T_1 T_2) ((set_union2 T_1 T_2) != T_2) (All A, (All B, (All C, ((C = (set_union2 A B)) <=> (All D, ((in D C) <=> ((in D A) \/ (in D B)))))))) ### Definition-Pseudo(subset) 15 % 0.39/0.55 17. (-. ((subset T_1 T_2) => ((set_union2 T_1 T_2) = T_2))) (All A, (All B, (All C, ((C = (set_union2 A B)) <=> (All D, ((in D C) <=> ((in D A) \/ (in D B)))))))) ### NotImply 16 % 0.39/0.55 18. (-. (All B, ((subset T_1 B) => ((set_union2 T_1 B) = B)))) (All A, (All B, (All C, ((C = (set_union2 A B)) <=> (All D, ((in D C) <=> ((in D A) \/ (in D B)))))))) ### NotAllEx 17 % 0.39/0.55 19. (-. (All A, (All B, ((subset A B) => ((set_union2 A B) = B))))) (All A, (All B, (All C, ((C = (set_union2 A B)) <=> (All D, ((in D C) <=> ((in D A) \/ (in D B)))))))) ### NotAllEx 18 % 0.39/0.55 % SZS output end Proof % 0.39/0.55 (* END-PROOF *) %------------------------------------------------------------------------------