TSTP Solution File: NUM551+3 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : NUM551+3 : 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 : n015.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 14:43:32 EDT 2022
% Result : Theorem 95.24s 95.50s
% Output : Proof 95.24s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.06/0.12 % Problem : NUM551+3 : TPTP v8.1.0. Released v4.0.0.
% 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n015.cluster.edu
% 0.13/0.33 % Model : x86_64 x86_64
% 0.13/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.33 % Memory : 8042.1875MB
% 0.13/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.13/0.33 % CPULimit : 300
% 0.13/0.33 % WCLimit : 600
% 0.13/0.33 % DateTime : Tue Jul 5 16:19:17 EDT 2022
% 0.13/0.33 % CPUTime :
% 95.24/95.50 % SZS status Theorem
% 95.24/95.50 (* PROOF-FOUND *)
% 95.24/95.50 (* BEGIN-PROOF *)
% 95.24/95.50 % SZS output start Proof
% 95.24/95.50 1. (aSet0 (xS)) (-. (aSet0 (xS))) ### Axiom
% 95.24/95.50 2. (aElementOf0 T_0 (xQ)) (-. (aElementOf0 T_0 (xQ))) ### Axiom
% 95.24/95.50 3. (-. (aElementOf0 T_0 (xS))) (aElementOf0 T_0 (xS)) ### Axiom
% 95.24/95.50 4. ((aElementOf0 T_0 (xQ)) => (aElementOf0 T_0 (xS))) (-. (aElementOf0 T_0 (xS))) (aElementOf0 T_0 (xQ)) ### Imply 2 3
% 95.24/95.50 5. (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) (aElementOf0 T_0 (xQ)) (-. (aElementOf0 T_0 (xS))) ### All 4
% 95.24/95.50 6. (-. (aElement0 T_0)) (aElement0 T_0) ### Axiom
% 95.24/95.50 7. ((aElementOf0 T_0 (xS)) => (aElement0 T_0)) (-. (aElement0 T_0)) (aElementOf0 T_0 (xQ)) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) ### Imply 5 6
% 95.24/95.50 8. (All W1, ((aElementOf0 W1 (xS)) => (aElement0 W1))) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) (aElementOf0 T_0 (xQ)) (-. (aElement0 T_0)) ### All 7
% 95.24/95.50 9. ((aSet0 (xS)) => (All W1, ((aElementOf0 W1 (xS)) => (aElement0 W1)))) (-. (aElement0 T_0)) (aElementOf0 T_0 (xQ)) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) (aSet0 (xS)) ### Imply 1 8
% 95.24/95.50 10. (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (aSet0 (xS)) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) (aElementOf0 T_0 (xQ)) (-. (aElement0 T_0)) ### All 9
% 95.24/95.50 11. (aElementOf0 T_0 (xQ)) (-. (aElementOf0 T_0 (xQ))) ### Axiom
% 95.24/95.50 12. (-. ((aElement0 T_0) /\ (aElementOf0 T_0 (xQ)))) (aElementOf0 T_0 (xQ)) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) (aSet0 (xS)) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) ### NotAnd 10 11
% 95.24/95.50 13. (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (aSet0 (xS)) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) (aElementOf0 T_0 (xQ)) ### NotExists 12
% 95.24/95.50 14. ((aSet0 (xS)) /\ ((aSet0 (xT)) /\ ((xk) != (sz00)))) (aElementOf0 T_0 (xQ)) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) ### ConjTree 13
% 95.24/95.50 15. ((aSet0 (xQ)) /\ ((All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) /\ ((aSubsetOf0 (xQ) (xS)) /\ (((sbrdtbr0 (xQ)) = (xk)) /\ (aElementOf0 (xQ) (slbdtsldtrb0 (xS) (xk))))))) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (aElementOf0 T_0 (xQ)) ((aSet0 (xS)) /\ ((aSet0 (xT)) /\ ((xk) != (sz00)))) ### ConjTree 14
% 95.24/95.50 16. (Ex W0, (aElementOf0 W0 (xQ))) ((aSet0 (xS)) /\ ((aSet0 (xT)) /\ ((xk) != (sz00)))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) ((aSet0 (xQ)) /\ ((All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) /\ ((aSubsetOf0 (xQ) (xS)) /\ (((sbrdtbr0 (xQ)) = (xk)) /\ (aElementOf0 (xQ) (slbdtsldtrb0 (xS) (xk))))))) ### Exists 15
% 95.24/95.50 17. (-. (-. (Ex W0, (aElementOf0 W0 (xQ))))) ((aSet0 (xQ)) /\ ((All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) /\ ((aSubsetOf0 (xQ) (xS)) /\ (((sbrdtbr0 (xQ)) = (xk)) /\ (aElementOf0 (xQ) (slbdtsldtrb0 (xS) (xk))))))) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) ((aSet0 (xS)) /\ ((aSet0 (xT)) /\ ((xk) != (sz00)))) ### NotNot 16
% 95.24/95.50 18. (-. ((-. (Ex W0, (aElementOf0 W0 (xQ)))) \/ ((xQ) = (slcrc0)))) ((aSet0 (xS)) /\ ((aSet0 (xT)) /\ ((xk) != (sz00)))) (All W0, ((aSet0 W0) => (All W1, ((aElementOf0 W1 W0) => (aElement0 W1))))) (-. (Ex W0, ((aElement0 W0) /\ (aElementOf0 W0 (xQ))))) ((aSet0 (xQ)) /\ ((All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xS)))) /\ ((aSubsetOf0 (xQ) (xS)) /\ (((sbrdtbr0 (xQ)) = (xk)) /\ (aElementOf0 (xQ) (slbdtsldtrb0 (xS) (xk))))))) ### NotOr 17
% 95.24/95.50 % SZS output end Proof
% 95.24/95.50 (* END-PROOF *)
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