TSTP Solution File: SEU200+1 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : SEU200+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 : n023.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 14:49:09 EDT 2022
% Result : Theorem 2.72s 2.95s
% Output : Proof 2.72s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SEU200+1 : TPTP v8.1.0. Released v3.3.0.
% 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n023.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 : Mon Jun 20 13:58:18 EDT 2022
% 0.13/0.34 % CPUTime :
% 2.72/2.95 % SZS status Theorem
% 2.72/2.95 (* PROOF-FOUND *)
% 2.72/2.95 (* BEGIN-PROOF *)
% 2.72/2.95 % SZS output start Proof
% 2.72/2.95 1. (relation T_0) (-. (relation T_0)) ### Axiom
% 2.72/2.95 2. (-. (relation (relation_rng_restriction T_1 T_0))) (relation (relation_rng_restriction T_1 T_0)) ### Axiom
% 2.72/2.95 3. ((relation T_0) => (relation (relation_rng_restriction T_1 T_0))) (-. (relation (relation_rng_restriction T_1 T_0))) (relation T_0) ### Imply 1 2
% 2.72/2.95 4. (All B, ((relation B) => (relation (relation_rng_restriction T_1 B)))) (relation T_0) (-. (relation (relation_rng_restriction T_1 T_0))) ### All 3
% 2.72/2.95 5. (All A, (All B, ((relation B) => (relation (relation_rng_restriction A B))))) (-. (relation (relation_rng_restriction T_1 T_0))) (relation T_0) ### All 4
% 2.72/2.95 6. (relation T_0) (-. (relation T_0)) ### Axiom
% 2.72/2.95 7. (relation T_0) (-. (relation T_0)) ### Axiom
% 2.72/2.95 8. (-. (subset (relation_rng_restriction T_1 T_0) T_0)) (subset (relation_rng_restriction T_1 T_0) T_0) ### Axiom
% 2.72/2.95 9. ((relation T_0) => (subset (relation_rng_restriction T_1 T_0) T_0)) (-. (subset (relation_rng_restriction T_1 T_0) T_0)) (relation T_0) ### Imply 7 8
% 2.72/2.95 10. (All B, ((relation B) => (subset (relation_rng_restriction T_1 B) B))) (relation T_0) (-. (subset (relation_rng_restriction T_1 T_0) T_0)) ### All 9
% 2.72/2.95 11. (All A, (All B, ((relation B) => (subset (relation_rng_restriction A B) B)))) (-. (subset (relation_rng_restriction T_1 T_0) T_0)) (relation T_0) ### All 10
% 2.72/2.95 12. (-. (subset (relation_rng (relation_rng_restriction T_1 T_0)) (relation_rng T_0))) (subset (relation_rng (relation_rng_restriction T_1 T_0)) (relation_rng T_0)) ### Axiom
% 2.72/2.95 13. ((subset (relation_dom (relation_rng_restriction T_1 T_0)) (relation_dom T_0)) /\ (subset (relation_rng (relation_rng_restriction T_1 T_0)) (relation_rng T_0))) (-. (subset (relation_rng (relation_rng_restriction T_1 T_0)) (relation_rng T_0))) ### And 12
% 2.72/2.95 14. ((relation T_0) => ((subset (relation_rng_restriction T_1 T_0) T_0) => ((subset (relation_dom (relation_rng_restriction T_1 T_0)) (relation_dom T_0)) /\ (subset (relation_rng (relation_rng_restriction T_1 T_0)) (relation_rng T_0))))) (-. (subset (relation_rng (relation_rng_restriction T_1 T_0)) (relation_rng T_0))) (All A, (All B, ((relation B) => (subset (relation_rng_restriction A B) B)))) (relation T_0) ### DisjTree 6 11 13
% 2.72/2.95 15. (All B, ((relation B) => ((subset (relation_rng_restriction T_1 T_0) B) => ((subset (relation_dom (relation_rng_restriction T_1 T_0)) (relation_dom B)) /\ (subset (relation_rng (relation_rng_restriction T_1 T_0)) (relation_rng B)))))) (relation T_0) (All A, (All B, ((relation B) => (subset (relation_rng_restriction A B) B)))) (-. (subset (relation_rng (relation_rng_restriction T_1 T_0)) (relation_rng T_0))) ### All 14
% 2.72/2.95 16. ((relation (relation_rng_restriction T_1 T_0)) => (All B, ((relation B) => ((subset (relation_rng_restriction T_1 T_0) B) => ((subset (relation_dom (relation_rng_restriction T_1 T_0)) (relation_dom B)) /\ (subset (relation_rng (relation_rng_restriction T_1 T_0)) (relation_rng B))))))) (-. (subset (relation_rng (relation_rng_restriction T_1 T_0)) (relation_rng T_0))) (All A, (All B, ((relation B) => (subset (relation_rng_restriction A B) B)))) (relation T_0) (All A, (All B, ((relation B) => (relation (relation_rng_restriction A B))))) ### Imply 5 15
% 2.72/2.95 17. (All A, ((relation A) => (All B, ((relation B) => ((subset A B) => ((subset (relation_dom A) (relation_dom B)) /\ (subset (relation_rng A) (relation_rng B)))))))) (All A, (All B, ((relation B) => (relation (relation_rng_restriction A B))))) (relation T_0) (All A, (All B, ((relation B) => (subset (relation_rng_restriction A B) B)))) (-. (subset (relation_rng (relation_rng_restriction T_1 T_0)) (relation_rng T_0))) ### All 16
% 2.72/2.95 18. (-. ((relation T_0) => (subset (relation_rng (relation_rng_restriction T_1 T_0)) (relation_rng T_0)))) (All A, (All B, ((relation B) => (subset (relation_rng_restriction A B) B)))) (All A, (All B, ((relation B) => (relation (relation_rng_restriction A B))))) (All A, ((relation A) => (All B, ((relation B) => ((subset A B) => ((subset (relation_dom A) (relation_dom B)) /\ (subset (relation_rng A) (relation_rng B)))))))) ### NotImply 17
% 2.72/2.95 19. (-. (All B, ((relation B) => (subset (relation_rng (relation_rng_restriction T_1 B)) (relation_rng B))))) (All A, ((relation A) => (All B, ((relation B) => ((subset A B) => ((subset (relation_dom A) (relation_dom B)) /\ (subset (relation_rng A) (relation_rng B)))))))) (All A, (All B, ((relation B) => (relation (relation_rng_restriction A B))))) (All A, (All B, ((relation B) => (subset (relation_rng_restriction A B) B)))) ### NotAllEx 18
% 2.72/2.95 20. (-. (All A, (All B, ((relation B) => (subset (relation_rng (relation_rng_restriction A B)) (relation_rng B)))))) (All A, (All B, ((relation B) => (subset (relation_rng_restriction A B) B)))) (All A, (All B, ((relation B) => (relation (relation_rng_restriction A B))))) (All A, ((relation A) => (All B, ((relation B) => ((subset A B) => ((subset (relation_dom A) (relation_dom B)) /\ (subset (relation_rng A) (relation_rng B)))))))) ### NotAllEx 19
% 2.72/2.95 % SZS output end Proof
% 2.72/2.95 (* END-PROOF *)
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