%------------------------------------------------------------------------------ % File : SuperZenon---0.0.1 % Problem : SEU198+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 : n016.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 14:49:08 EDT 2022 % Result : Theorem 2.68s 2.87s % Output : Proof 2.68s % Verified : % SZS Type : - % Comments : %------------------------------------------------------------------------------ %----WARNING: Could not form TPTP format derivation %------------------------------------------------------------------------------ %----ORIGINAL SYSTEM OUTPUT % 0.03/0.12 % Problem : SEU198+1 : TPTP v8.1.0. Released v3.3.0. % 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s % 0.13/0.34 % Computer : n016.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 : Sun Jun 19 21:44:09 EDT 2022 % 0.13/0.34 % CPUTime : % 2.68/2.87 % SZS status Theorem % 2.68/2.87 (* PROOF-FOUND *) % 2.68/2.87 (* BEGIN-PROOF *) % 2.68/2.87 % SZS output start Proof % 2.68/2.87 1. (relation T_0) (-. (relation T_0)) ### Axiom % 2.68/2.87 2. (in T_1 (relation_rng (relation_rng_restriction T_2 T_0))) (-. (in T_1 (relation_rng (relation_rng_restriction T_2 T_0)))) ### Axiom % 2.68/2.87 3. (-. (in T_1 T_2)) (in T_1 T_2) ### Axiom % 2.68/2.87 4. ((in T_1 T_2) /\ (in T_1 (relation_rng T_0))) (-. (in T_1 T_2)) ### And 3 % 2.68/2.87 5. ((in T_1 (relation_rng (relation_rng_restriction T_2 T_0))) <=> ((in T_1 T_2) /\ (in T_1 (relation_rng T_0)))) (-. (in T_1 T_2)) (in T_1 (relation_rng (relation_rng_restriction T_2 T_0))) ### Equiv 2 4 % 2.68/2.87 6. ((relation T_0) => ((in T_1 (relation_rng (relation_rng_restriction T_2 T_0))) <=> ((in T_1 T_2) /\ (in T_1 (relation_rng T_0))))) (in T_1 (relation_rng (relation_rng_restriction T_2 T_0))) (-. (in T_1 T_2)) (relation T_0) ### Imply 1 5 % 2.68/2.87 7. (All C, ((relation C) => ((in T_1 (relation_rng (relation_rng_restriction T_2 C))) <=> ((in T_1 T_2) /\ (in T_1 (relation_rng C)))))) (relation T_0) (-. (in T_1 T_2)) (in T_1 (relation_rng (relation_rng_restriction T_2 T_0))) ### All 6 % 2.68/2.87 8. (All B, (All C, ((relation C) => ((in T_1 (relation_rng (relation_rng_restriction B C))) <=> ((in T_1 B) /\ (in T_1 (relation_rng C))))))) (in T_1 (relation_rng (relation_rng_restriction T_2 T_0))) (-. (in T_1 T_2)) (relation T_0) ### All 7 % 2.68/2.87 9. (All A, (All B, (All C, ((relation C) => ((in A (relation_rng (relation_rng_restriction B C))) <=> ((in A B) /\ (in A (relation_rng C)))))))) (relation T_0) (-. (in T_1 T_2)) (in T_1 (relation_rng (relation_rng_restriction T_2 T_0))) ### All 8 % 2.68/2.87 10. (-. ((in T_1 (relation_rng (relation_rng_restriction T_2 T_0))) => (in T_1 T_2))) (relation T_0) (All A, (All B, (All C, ((relation C) => ((in A (relation_rng (relation_rng_restriction B C))) <=> ((in A B) /\ (in A (relation_rng C)))))))) ### NotImply 9 % 2.68/2.87 11. (-. (All C, ((in C (relation_rng (relation_rng_restriction T_2 T_0))) => (in C T_2)))) (All A, (All B, (All C, ((relation C) => ((in A (relation_rng (relation_rng_restriction B C))) <=> ((in A B) /\ (in A (relation_rng C)))))))) (relation T_0) ### NotAllEx 10 % 2.68/2.87 12. (-. (subset (relation_rng (relation_rng_restriction T_2 T_0)) T_2)) (relation T_0) (All A, (All B, (All C, ((relation C) => ((in A (relation_rng (relation_rng_restriction B C))) <=> ((in A B) /\ (in A (relation_rng C)))))))) ### Definition-Pseudo(subset) 11 % 2.68/2.87 13. (-. ((relation T_0) => (subset (relation_rng (relation_rng_restriction T_2 T_0)) T_2))) (All A, (All B, (All C, ((relation C) => ((in A (relation_rng (relation_rng_restriction B C))) <=> ((in A B) /\ (in A (relation_rng C)))))))) ### NotImply 12 % 2.68/2.87 14. (-. (All B, ((relation B) => (subset (relation_rng (relation_rng_restriction T_2 B)) T_2)))) (All A, (All B, (All C, ((relation C) => ((in A (relation_rng (relation_rng_restriction B C))) <=> ((in A B) /\ (in A (relation_rng C)))))))) ### NotAllEx 13 % 2.68/2.87 15. (-. (All A, (All B, ((relation B) => (subset (relation_rng (relation_rng_restriction A B)) A))))) (All A, (All B, (All C, ((relation C) => ((in A (relation_rng (relation_rng_restriction B C))) <=> ((in A B) /\ (in A (relation_rng C)))))))) ### NotAllEx 14 % 2.68/2.87 % SZS output end Proof % 2.68/2.87 (* END-PROOF *) %------------------------------------------------------------------------------