TSTP Solution File: RNG088+2 by SuperZenon---0.0.1

View Problem - Process Solution 
%------------------------------------------------------------------------------
% File     : SuperZenon---0.0.1
% Problem  : RNG088+2 : 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 : n032.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 20:41:57 EDT 2022

% Result   : Theorem 0.12s 0.34s
% Output   : Proof 0.12s
% Verified : 
% SZS Type : -

% Comments : 
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.08  % Problem  : RNG088+2 : TPTP v8.1.0. Released v4.0.0.
% 0.00/0.09  % Command  : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.08/0.28  % Computer : n032.cluster.edu
% 0.08/0.28  % Model    : x86_64 x86_64
% 0.08/0.28  % CPU      : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.08/0.28  % Memory   : 8042.1875MB
% 0.08/0.28  % OS       : Linux 3.10.0-693.el7.x86_64
% 0.08/0.28  % CPULimit : 300
% 0.08/0.28  % WCLimit  : 600
% 0.08/0.28  % DateTime : Mon May 30 08:12:27 EDT 2022
% 0.08/0.28  % CPUTime  : 
% 0.12/0.34  % SZS status Theorem
% 0.12/0.34  (* PROOF-FOUND *)
% 0.12/0.34  (* BEGIN-PROOF *)
% 0.12/0.34  % SZS output start Proof
% 0.12/0.34  1. (aElementOf0 (xk) (xI)) (-. (aElementOf0 (xk) (xI)))   ### Axiom
% 0.12/0.34  2. (aElementOf0 (xm) (xI)) (-. (aElementOf0 (xm) (xI)))   ### Axiom
% 0.12/0.34  3. (-. (aElementOf0 (sdtpldt0 (xk) (xm)) (xI))) (aElementOf0 (sdtpldt0 (xk) (xm)) (xI))   ### Axiom
% 0.12/0.34  4. ((aElementOf0 (xm) (xI)) => (aElementOf0 (sdtpldt0 (xk) (xm)) (xI))) (-. (aElementOf0 (sdtpldt0 (xk) (xm)) (xI))) (aElementOf0 (xm) (xI))   ### Imply 2 3
% 0.12/0.34  5. (All W1, ((aElementOf0 W1 (xI)) => (aElementOf0 (sdtpldt0 (xk) W1) (xI)))) (aElementOf0 (xm) (xI)) (-. (aElementOf0 (sdtpldt0 (xk) (xm)) (xI)))   ### All 4
% 0.12/0.34  6. ((All W1, ((aElementOf0 W1 (xI)) => (aElementOf0 (sdtpldt0 (xk) W1) (xI)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 (xk)) (xI))))) (-. (aElementOf0 (sdtpldt0 (xk) (xm)) (xI))) (aElementOf0 (xm) (xI))   ### And 5
% 0.12/0.34  7. ((aElementOf0 (xk) (xI)) => ((All W1, ((aElementOf0 W1 (xI)) => (aElementOf0 (sdtpldt0 (xk) W1) (xI)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 (xk)) (xI)))))) (aElementOf0 (xm) (xI)) (-. (aElementOf0 (sdtpldt0 (xk) (xm)) (xI))) (aElementOf0 (xk) (xI))   ### Imply 1 6
% 0.12/0.34  8. (All W0, ((aElementOf0 W0 (xI)) => ((All W1, ((aElementOf0 W1 (xI)) => (aElementOf0 (sdtpldt0 W0 W1) (xI)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 W0) (xI))))))) (aElementOf0 (xk) (xI)) (-. (aElementOf0 (sdtpldt0 (xk) (xm)) (xI))) (aElementOf0 (xm) (xI))   ### All 7
% 0.12/0.34  9. (aElementOf0 (xl) (xJ)) (-. (aElementOf0 (xl) (xJ)))   ### Axiom
% 0.12/0.34  10. (aElementOf0 (xn) (xJ)) (-. (aElementOf0 (xn) (xJ)))   ### Axiom
% 0.12/0.34  11. (-. (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ))) (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ))   ### Axiom
% 0.12/0.34  12. ((aElementOf0 (xn) (xJ)) => (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ))) (-. (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ))) (aElementOf0 (xn) (xJ))   ### Imply 10 11
% 0.12/0.34  13. (All W1, ((aElementOf0 W1 (xJ)) => (aElementOf0 (sdtpldt0 (xl) W1) (xJ)))) (aElementOf0 (xn) (xJ)) (-. (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ)))   ### All 12
% 0.12/0.34  14. ((All W1, ((aElementOf0 W1 (xJ)) => (aElementOf0 (sdtpldt0 (xl) W1) (xJ)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 (xl)) (xJ))))) (-. (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ))) (aElementOf0 (xn) (xJ))   ### And 13
% 0.12/0.34  15. ((aElementOf0 (xl) (xJ)) => ((All W1, ((aElementOf0 W1 (xJ)) => (aElementOf0 (sdtpldt0 (xl) W1) (xJ)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 (xl)) (xJ)))))) (aElementOf0 (xn) (xJ)) (-. (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ))) (aElementOf0 (xl) (xJ))   ### Imply 9 14
% 0.12/0.34  16. (All W0, ((aElementOf0 W0 (xJ)) => ((All W1, ((aElementOf0 W1 (xJ)) => (aElementOf0 (sdtpldt0 W0 W1) (xJ)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 W0) (xJ))))))) (aElementOf0 (xl) (xJ)) (-. (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ))) (aElementOf0 (xn) (xJ))   ### All 15
% 0.12/0.34  17. (-. ((aElementOf0 (sdtpldt0 (xk) (xm)) (xI)) /\ (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ)))) (aElementOf0 (xn) (xJ)) (aElementOf0 (xl) (xJ)) (All W0, ((aElementOf0 W0 (xJ)) => ((All W1, ((aElementOf0 W1 (xJ)) => (aElementOf0 (sdtpldt0 W0 W1) (xJ)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 W0) (xJ))))))) (aElementOf0 (xm) (xI)) (aElementOf0 (xk) (xI)) (All W0, ((aElementOf0 W0 (xI)) => ((All W1, ((aElementOf0 W1 (xI)) => (aElementOf0 (sdtpldt0 W0 W1) (xI)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 W0) (xI)))))))   ### NotAnd 8 16
% 0.12/0.34  18. ((aElementOf0 (xm) (xI)) /\ ((aElementOf0 (xn) (xJ)) /\ ((xy) = (sdtpldt0 (xm) (xn))))) (All W0, ((aElementOf0 W0 (xI)) => ((All W1, ((aElementOf0 W1 (xI)) => (aElementOf0 (sdtpldt0 W0 W1) (xI)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 W0) (xI))))))) (aElementOf0 (xk) (xI)) (All W0, ((aElementOf0 W0 (xJ)) => ((All W1, ((aElementOf0 W1 (xJ)) => (aElementOf0 (sdtpldt0 W0 W1) (xJ)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 W0) (xJ))))))) (aElementOf0 (xl) (xJ)) (-. ((aElementOf0 (sdtpldt0 (xk) (xm)) (xI)) /\ (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ))))   ### ConjTree 17
% 0.12/0.34  19. ((aElementOf0 (xk) (xI)) /\ ((aElementOf0 (xl) (xJ)) /\ ((xx) = (sdtpldt0 (xk) (xl))))) (-. ((aElementOf0 (sdtpldt0 (xk) (xm)) (xI)) /\ (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ)))) (All W0, ((aElementOf0 W0 (xJ)) => ((All W1, ((aElementOf0 W1 (xJ)) => (aElementOf0 (sdtpldt0 W0 W1) (xJ)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 W0) (xJ))))))) (All W0, ((aElementOf0 W0 (xI)) => ((All W1, ((aElementOf0 W1 (xI)) => (aElementOf0 (sdtpldt0 W0 W1) (xI)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 W0) (xI))))))) ((aElementOf0 (xm) (xI)) /\ ((aElementOf0 (xn) (xJ)) /\ ((xy) = (sdtpldt0 (xm) (xn)))))   ### ConjTree 18
% 0.12/0.34  20. ((aSet0 (xI)) /\ ((All W0, ((aElementOf0 W0 (xI)) => ((All W1, ((aElementOf0 W1 (xI)) => (aElementOf0 (sdtpldt0 W0 W1) (xI)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 W0) (xI))))))) /\ ((aIdeal0 (xI)) /\ ((aSet0 (xJ)) /\ ((All W0, ((aElementOf0 W0 (xJ)) => ((All W1, ((aElementOf0 W1 (xJ)) => (aElementOf0 (sdtpldt0 W0 W1) (xJ)))) /\ (All W1, ((aElement0 W1) => (aElementOf0 (sdtasdt0 W1 W0) (xJ))))))) /\ (aIdeal0 (xJ))))))) ((aElementOf0 (xm) (xI)) /\ ((aElementOf0 (xn) (xJ)) /\ ((xy) = (sdtpldt0 (xm) (xn))))) (-. ((aElementOf0 (sdtpldt0 (xk) (xm)) (xI)) /\ (aElementOf0 (sdtpldt0 (xl) (xn)) (xJ)))) ((aElementOf0 (xk) (xI)) /\ ((aElementOf0 (xl) (xJ)) /\ ((xx) = (sdtpldt0 (xk) (xl)))))   ### ConjTree 19
% 0.12/0.34  % SZS output end Proof
% 0.12/0.34  (* END-PROOF *)
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