TSTP Solution File: NUM533+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : NUM533+1 : TPTP v8.1.0. Released v4.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n029.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 : Mon Jul 18 14:43:21 EDT 2022
% Result : Theorem 0.12s 0.40s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM533+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n029.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 : Wed Jul 6 15:36:58 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.40 % SZS status Theorem
% 0.12/0.40 (* PROOF-FOUND *)
% 0.12/0.40 (* BEGIN-PROOF *)
% 0.12/0.40 % SZS output start Proof
% 0.12/0.40 1. (aSet0 (xC)) (-. (aSet0 (xC))) ### Axiom
% 0.12/0.40 2. (aSet0 (xA)) (-. (aSet0 (xA))) ### Axiom
% 0.12/0.40 3. (aSet0 (xB)) (-. (aSet0 (xB))) ### Axiom
% 0.12/0.40 4. (aSubsetOf0 (xB) (xC)) (-. (aSubsetOf0 (xB) (xC))) ### Axiom
% 0.12/0.40 5. (aSubsetOf0 (xA) (xB)) (-. (aSubsetOf0 (xA) (xB))) ### Axiom
% 0.12/0.40 6. (aElementOf0 T_0 (xA)) (-. (aElementOf0 T_0 (xA))) ### Axiom
% 0.12/0.40 7. (-. (aElementOf0 T_0 (xB))) (aElementOf0 T_0 (xB)) ### Axiom
% 0.12/0.40 8. ((aElementOf0 T_0 (xA)) => (aElementOf0 T_0 (xB))) (-. (aElementOf0 T_0 (xB))) (aElementOf0 T_0 (xA)) ### Imply 6 7
% 0.12/0.40 9. (All W2, ((aElementOf0 W2 (xA)) => (aElementOf0 W2 (xB)))) (aElementOf0 T_0 (xA)) (-. (aElementOf0 T_0 (xB))) ### All 8
% 0.12/0.40 10. ((aSet0 (xA)) /\ (All W2, ((aElementOf0 W2 (xA)) => (aElementOf0 W2 (xB))))) (-. (aElementOf0 T_0 (xB))) (aElementOf0 T_0 (xA)) ### And 9
% 0.12/0.40 11. ((aSubsetOf0 (xA) (xB)) <=> ((aSet0 (xA)) /\ (All W2, ((aElementOf0 W2 (xA)) => (aElementOf0 W2 (xB)))))) (aElementOf0 T_0 (xA)) (-. (aElementOf0 T_0 (xB))) (aSubsetOf0 (xA) (xB)) ### Equiv 5 10
% 0.12/0.40 12. (All W1, ((aSubsetOf0 W1 (xB)) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 (xB))))))) (aSubsetOf0 (xA) (xB)) (-. (aElementOf0 T_0 (xB))) (aElementOf0 T_0 (xA)) ### All 11
% 0.12/0.40 13. (-. (aElementOf0 T_0 (xC))) (aElementOf0 T_0 (xC)) ### Axiom
% 0.12/0.40 14. ((aElementOf0 T_0 (xB)) => (aElementOf0 T_0 (xC))) (-. (aElementOf0 T_0 (xC))) (aElementOf0 T_0 (xA)) (aSubsetOf0 (xA) (xB)) (All W1, ((aSubsetOf0 W1 (xB)) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 (xB))))))) ### Imply 12 13
% 0.12/0.40 15. (All W2, ((aElementOf0 W2 (xB)) => (aElementOf0 W2 (xC)))) (All W1, ((aSubsetOf0 W1 (xB)) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 (xB))))))) (aSubsetOf0 (xA) (xB)) (aElementOf0 T_0 (xA)) (-. (aElementOf0 T_0 (xC))) ### All 14
% 0.12/0.40 16. ((aSet0 (xB)) /\ (All W2, ((aElementOf0 W2 (xB)) => (aElementOf0 W2 (xC))))) (-. (aElementOf0 T_0 (xC))) (aElementOf0 T_0 (xA)) (aSubsetOf0 (xA) (xB)) (All W1, ((aSubsetOf0 W1 (xB)) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 (xB))))))) ### And 15
% 0.12/0.40 17. ((aSubsetOf0 (xB) (xC)) <=> ((aSet0 (xB)) /\ (All W2, ((aElementOf0 W2 (xB)) => (aElementOf0 W2 (xC)))))) (All W1, ((aSubsetOf0 W1 (xB)) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 (xB))))))) (aSubsetOf0 (xA) (xB)) (aElementOf0 T_0 (xA)) (-. (aElementOf0 T_0 (xC))) (aSubsetOf0 (xB) (xC)) ### Equiv 4 16
% 0.12/0.40 18. (All W1, ((aSubsetOf0 W1 (xC)) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 (xC))))))) (aSubsetOf0 (xB) (xC)) (-. (aElementOf0 T_0 (xC))) (aElementOf0 T_0 (xA)) (aSubsetOf0 (xA) (xB)) (All W1, ((aSubsetOf0 W1 (xB)) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 (xB))))))) ### All 17
% 0.12/0.40 19. ((aSet0 (xB)) => (All W1, ((aSubsetOf0 W1 (xB)) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 (xB)))))))) (aSubsetOf0 (xA) (xB)) (aElementOf0 T_0 (xA)) (-. (aElementOf0 T_0 (xC))) (aSubsetOf0 (xB) (xC)) (All W1, ((aSubsetOf0 W1 (xC)) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 (xC))))))) (aSet0 (xB)) ### Imply 3 18
% 0.12/0.40 20. (All W0, ((aSet0 W0) => (All W1, ((aSubsetOf0 W1 W0) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 W0)))))))) (aSet0 (xB)) (All W1, ((aSubsetOf0 W1 (xC)) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 (xC))))))) (aSubsetOf0 (xB) (xC)) (-. (aElementOf0 T_0 (xC))) (aElementOf0 T_0 (xA)) (aSubsetOf0 (xA) (xB)) ### All 19
% 0.12/0.40 21. (-. ((aElementOf0 T_0 (xA)) => (aElementOf0 T_0 (xC)))) (aSubsetOf0 (xA) (xB)) (aSubsetOf0 (xB) (xC)) (All W1, ((aSubsetOf0 W1 (xC)) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 (xC))))))) (aSet0 (xB)) (All W0, ((aSet0 W0) => (All W1, ((aSubsetOf0 W1 W0) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 W0)))))))) ### NotImply 20
% 0.12/0.40 22. (-. (All W2, ((aElementOf0 W2 (xA)) => (aElementOf0 W2 (xC))))) (All W0, ((aSet0 W0) => (All W1, ((aSubsetOf0 W1 W0) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 W0)))))))) (aSet0 (xB)) (All W1, ((aSubsetOf0 W1 (xC)) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 (xC))))))) (aSubsetOf0 (xB) (xC)) (aSubsetOf0 (xA) (xB)) ### NotAllEx 21
% 0.12/0.40 23. (-. ((aSet0 (xA)) /\ (All W2, ((aElementOf0 W2 (xA)) => (aElementOf0 W2 (xC)))))) (aSubsetOf0 (xA) (xB)) (aSubsetOf0 (xB) (xC)) (All W1, ((aSubsetOf0 W1 (xC)) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 (xC))))))) (aSet0 (xB)) (All W0, ((aSet0 W0) => (All W1, ((aSubsetOf0 W1 W0) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 W0)))))))) (aSet0 (xA)) ### NotAnd 2 22
% 0.12/0.40 24. (-. (aSubsetOf0 (xA) (xC))) (aSubsetOf0 (xA) (xC)) ### Axiom
% 0.12/0.40 25. ((aSubsetOf0 (xA) (xC)) <=> ((aSet0 (xA)) /\ (All W2, ((aElementOf0 W2 (xA)) => (aElementOf0 W2 (xC)))))) (-. (aSubsetOf0 (xA) (xC))) (aSet0 (xA)) (All W0, ((aSet0 W0) => (All W1, ((aSubsetOf0 W1 W0) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 W0)))))))) (aSet0 (xB)) (All W1, ((aSubsetOf0 W1 (xC)) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 (xC))))))) (aSubsetOf0 (xB) (xC)) (aSubsetOf0 (xA) (xB)) ### Equiv 23 24
% 0.12/0.40 26. (aSubsetOf0 (xA) (xB)) (aSubsetOf0 (xB) (xC)) (All W1, ((aSubsetOf0 W1 (xC)) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 (xC))))))) (aSet0 (xB)) (All W0, ((aSet0 W0) => (All W1, ((aSubsetOf0 W1 W0) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 W0)))))))) (aSet0 (xA)) (-. (aSubsetOf0 (xA) (xC))) ### All 25
% 0.12/0.40 27. ((aSet0 (xC)) => (All W1, ((aSubsetOf0 W1 (xC)) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 (xC)))))))) (-. (aSubsetOf0 (xA) (xC))) (aSet0 (xA)) (All W0, ((aSet0 W0) => (All W1, ((aSubsetOf0 W1 W0) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 W0)))))))) (aSet0 (xB)) (aSubsetOf0 (xB) (xC)) (aSubsetOf0 (xA) (xB)) (aSet0 (xC)) ### Imply 1 26
% 0.12/0.40 28. (aSet0 (xC)) (aSubsetOf0 (xA) (xB)) (aSubsetOf0 (xB) (xC)) (aSet0 (xB)) (All W0, ((aSet0 W0) => (All W1, ((aSubsetOf0 W1 W0) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 W0)))))))) (aSet0 (xA)) (-. (aSubsetOf0 (xA) (xC))) ### All 27
% 0.12/0.40 29. (-. (((aSubsetOf0 (xA) (xB)) /\ (aSubsetOf0 (xB) (xC))) => (aSubsetOf0 (xA) (xC)))) (aSet0 (xA)) (All W0, ((aSet0 W0) => (All W1, ((aSubsetOf0 W1 W0) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 W0)))))))) (aSet0 (xB)) (aSet0 (xC)) ### ConjTree 28
% 0.12/0.40 30. ((aSet0 (xA)) /\ ((aSet0 (xB)) /\ (aSet0 (xC)))) (All W0, ((aSet0 W0) => (All W1, ((aSubsetOf0 W1 W0) <=> ((aSet0 W1) /\ (All W2, ((aElementOf0 W2 W1) => (aElementOf0 W2 W0)))))))) (-. (((aSubsetOf0 (xA) (xB)) /\ (aSubsetOf0 (xB) (xC))) => (aSubsetOf0 (xA) (xC)))) ### ConjTree 29
% 0.12/0.40 % SZS output end Proof
% 0.12/0.40 (* END-PROOF *)
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