%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SEU130+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 : 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 : Tue Jul 19 14:48:30 EDT 2022 % Result : Theorem 9.15s 9.32s % Output : Proof 9.15s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.11 % Problem : SEU130+1 : TPTP v8.1.0. Released v3.3.0. % 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.11/0.32 % Computer : n020.cluster.edu % 0.11/0.32 % Model : x86_64 x86_64 % 0.11/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz % 0.11/0.32 % Memory : 8042.1875MB % 0.11/0.32 % OS : Linux 3.10.0-693.el7.x86_64 % 0.11/0.32 % CPULimit : 300 % 0.11/0.32 % WCLimit : 600 % 0.11/0.32 % DateTime : Mon Jun 20 03:34:03 EDT 2022 % 0.11/0.33 % CPUTime : % 9.15/9.32 % SZS status Theorem % 9.15/9.32 (* PROOF-FOUND *) % 9.15/9.32 (* BEGIN-PROOF *) % 9.15/9.32 % SZS output start Proof % 9.15/9.32 1. (-. (in T_0 T_1)) (in T_0 T_1) ### Axiom % 9.15/9.32 2. ((in T_0 T_1) /\ (in T_0 T_2)) (-. (in T_0 T_1)) ### And 1 % 9.15/9.32 3. (in T_0 T_1) (-. (in T_0 T_1)) ### Axiom % 9.15/9.32 4. (in T_0 T_1) (-. (in T_0 T_1)) ### Axiom % 9.15/9.32 5. (-. (in T_0 T_2)) (in T_0 T_2) ### Axiom % 9.15/9.32 6. ((in T_0 T_1) => (in T_0 T_2)) (-. (in T_0 T_2)) (in T_0 T_1) ### Imply 4 5 % 9.15/9.32 7. (All C, ((in C T_1) => (in C T_2))) (in T_0 T_1) (-. (in T_0 T_2)) ### All 6 % 9.15/9.32 8. (-. ((in T_0 T_1) /\ (in T_0 T_2))) (All C, ((in C T_1) => (in C T_2))) (in T_0 T_1) ### NotAnd 3 7 % 9.15/9.32 9. (-. ((in T_0 T_1) <=> ((in T_0 T_1) /\ (in T_0 T_2)))) (All C, ((in C T_1) => (in C T_2))) ### NotEquiv 2 8 % 9.15/9.32 10. (-. (All D, ((in D T_1) <=> ((in D T_1) /\ (in D T_2))))) (All C, ((in C T_1) => (in C T_2))) ### NotAllEx 9 % 9.15/9.32 11. ((set_intersection2 T_1 T_2) != T_1) (T_1 = (set_intersection2 T_1 T_2)) ### Sym(=) % 9.15/9.32 12. ((T_1 = (set_intersection2 T_1 T_2)) <=> (All D, ((in D T_1) <=> ((in D T_1) /\ (in D T_2))))) ((set_intersection2 T_1 T_2) != T_1) (All C, ((in C T_1) => (in C T_2))) ### Equiv 10 11 % 9.15/9.32 13. (All C, ((C = (set_intersection2 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_intersection2 T_1 T_2) != T_1) ### All 12 % 9.15/9.32 14. (All B, (All C, ((C = (set_intersection2 T_1 B)) <=> (All D, ((in D C) <=> ((in D T_1) /\ (in D B))))))) ((set_intersection2 T_1 T_2) != T_1) (All C, ((in C T_1) => (in C T_2))) ### All 13 % 9.15/9.32 15. (All A, (All B, (All C, ((C = (set_intersection2 A B)) <=> (All D, ((in D C) <=> ((in D A) /\ (in D B)))))))) (All C, ((in C T_1) => (in C T_2))) ((set_intersection2 T_1 T_2) != T_1) ### All 14 % 9.15/9.32 16. (subset T_1 T_2) ((set_intersection2 T_1 T_2) != T_1) (All A, (All B, (All C, ((C = (set_intersection2 A B)) <=> (All D, ((in D C) <=> ((in D A) /\ (in D B)))))))) ### Definition-Pseudo(subset) 15 % 9.15/9.32 17. (-. ((subset T_1 T_2) => ((set_intersection2 T_1 T_2) = T_1))) (All A, (All B, (All C, ((C = (set_intersection2 A B)) <=> (All D, ((in D C) <=> ((in D A) /\ (in D B)))))))) ### NotImply 16 % 9.15/9.32 18. (-. (All B, ((subset T_1 B) => ((set_intersection2 T_1 B) = T_1)))) (All A, (All B, (All C, ((C = (set_intersection2 A B)) <=> (All D, ((in D C) <=> ((in D A) /\ (in D B)))))))) ### NotAllEx 17 % 9.15/9.32 19. (-. (All A, (All B, ((subset A B) => ((set_intersection2 A B) = A))))) (All A, (All B, (All C, ((C = (set_intersection2 A B)) <=> (All D, ((in D C) <=> ((in D A) /\ (in D B)))))))) ### NotAllEx 18 % 9.15/9.32 % SZS output end Proof % 9.15/9.32 (* END-PROOF *) %------------------------------------------------------------------------------