TSTP Solution File: NUM610+3 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : NUM610+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 : n003.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 14:44:06 EDT 2022
% Result : Theorem 0.47s 0.64s
% Output : Proof 0.47s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM610+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n003.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Wed Jul 6 01:12:56 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.47/0.64 % SZS status Theorem
% 0.47/0.64 (* PROOF-FOUND *)
% 0.47/0.64 (* BEGIN-PROOF *)
% 0.47/0.64 % SZS output start Proof
% 0.47/0.64 1. (aElementOf0 T_0 (xP)) (-. (aElementOf0 T_0 (xP))) ### Axiom
% 0.47/0.64 2. (-. (aElementOf0 T_0 (xQ))) (aElementOf0 T_0 (xQ)) ### Axiom
% 0.47/0.64 3. ((aElement0 T_0) /\ ((aElementOf0 T_0 (xQ)) /\ (T_0 != (szmzizndt0 (xQ))))) (-. (aElementOf0 T_0 (xQ))) ### ConjTree 2
% 0.47/0.64 4. ((aElementOf0 T_0 (xP)) <=> ((aElement0 T_0) /\ ((aElementOf0 T_0 (xQ)) /\ (T_0 != (szmzizndt0 (xQ)))))) (-. (aElementOf0 T_0 (xQ))) (aElementOf0 T_0 (xP)) ### Equiv 1 3
% 0.47/0.64 5. (All W0, ((aElementOf0 W0 (xP)) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (xQ)) /\ (W0 != (szmzizndt0 (xQ))))))) (aElementOf0 T_0 (xP)) (-. (aElementOf0 T_0 (xQ))) ### All 4
% 0.47/0.64 6. (-. (aElementOf0 T_0 (xO))) (aElementOf0 T_0 (xO)) ### Axiom
% 0.47/0.64 7. ((aElementOf0 T_0 (xQ)) => (aElementOf0 T_0 (xO))) (-. (aElementOf0 T_0 (xO))) (aElementOf0 T_0 (xP)) (All W0, ((aElementOf0 W0 (xP)) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (xQ)) /\ (W0 != (szmzizndt0 (xQ))))))) ### Imply 5 6
% 0.47/0.64 8. (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xO)))) (All W0, ((aElementOf0 W0 (xP)) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (xQ)) /\ (W0 != (szmzizndt0 (xQ))))))) (aElementOf0 T_0 (xP)) (-. (aElementOf0 T_0 (xO))) ### All 7
% 0.47/0.64 9. (-. ((aElementOf0 T_0 (xP)) => (aElementOf0 T_0 (xO)))) (All W0, ((aElementOf0 W0 (xP)) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (xQ)) /\ (W0 != (szmzizndt0 (xQ))))))) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xO)))) ### NotImply 8
% 0.47/0.64 10. (-. (All W0, ((aElementOf0 W0 (xP)) => (aElementOf0 W0 (xO))))) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xO)))) (All W0, ((aElementOf0 W0 (xP)) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (xQ)) /\ (W0 != (szmzizndt0 (xQ))))))) ### NotAllEx 9
% 0.47/0.64 11. (-. ((All W0, ((aElementOf0 W0 (xP)) => (aElementOf0 W0 (xO)))) \/ (aSubsetOf0 (xP) (xO)))) (All W0, ((aElementOf0 W0 (xP)) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (xQ)) /\ (W0 != (szmzizndt0 (xQ))))))) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xO)))) ### NotOr 10
% 0.47/0.64 12. ((aSet0 (xP)) /\ ((All W0, ((aElementOf0 W0 (xQ)) => (sdtlseqdt0 (szmzizndt0 (xQ)) W0))) /\ ((All W0, ((aElementOf0 W0 (xP)) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (xQ)) /\ (W0 != (szmzizndt0 (xQ))))))) /\ ((xP) = (sdtmndt0 (xQ) (szmzizndt0 (xQ))))))) (All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xO)))) (-. ((All W0, ((aElementOf0 W0 (xP)) => (aElementOf0 W0 (xO)))) \/ (aSubsetOf0 (xP) (xO)))) ### ConjTree 11
% 0.47/0.64 13. ((aSet0 (xQ)) /\ ((All W0, ((aElementOf0 W0 (xQ)) => (aElementOf0 W0 (xO)))) /\ ((aSubsetOf0 (xQ) (xO)) /\ (((sbrdtbr0 (xQ)) = (xK)) /\ (aElementOf0 (xQ) (slbdtsldtrb0 (xO) (xK))))))) (-. ((All W0, ((aElementOf0 W0 (xP)) => (aElementOf0 W0 (xO)))) \/ (aSubsetOf0 (xP) (xO)))) ((aSet0 (xP)) /\ ((All W0, ((aElementOf0 W0 (xQ)) => (sdtlseqdt0 (szmzizndt0 (xQ)) W0))) /\ ((All W0, ((aElementOf0 W0 (xP)) <=> ((aElement0 W0) /\ ((aElementOf0 W0 (xQ)) /\ (W0 != (szmzizndt0 (xQ))))))) /\ ((xP) = (sdtmndt0 (xQ) (szmzizndt0 (xQ))))))) ### ConjTree 12
% 0.47/0.64 % SZS output end Proof
% 0.47/0.64 (* END-PROOF *)
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