TSTP Solution File: NUM457+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : NUM457+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 : n008.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 14:42:38 EDT 2022
% Result : Theorem 7.05s 7.26s
% Output : Proof 7.05s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM457+1 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n008.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 : Wed Jul 6 05:30:53 EDT 2022
% 0.13/0.34 % CPUTime :
% 7.05/7.26 % SZS status Theorem
% 7.05/7.26 (* PROOF-FOUND *)
% 7.05/7.26 (* BEGIN-PROOF *)
% 7.05/7.26 % SZS output start Proof
% 7.05/7.26 1. (aNaturalNumber0 (xn)) (-. (aNaturalNumber0 (xn))) ### Axiom
% 7.05/7.26 2. ((xn) != (sz00)) ((xn) = (sz00)) ### Axiom
% 7.05/7.26 3. (aNaturalNumber0 (sz00)) (-. (aNaturalNumber0 (sz00))) ### Axiom
% 7.05/7.26 4. (aNaturalNumber0 (xm)) (-. (aNaturalNumber0 (xm))) ### Axiom
% 7.05/7.26 5. (aNaturalNumber0 (xn)) (-. (aNaturalNumber0 (xn))) ### Axiom
% 7.05/7.26 6. ((sdtasdt0 (xm) (xn)) != (sdtasdt0 (xm) (xn))) ### Refl(=)
% 7.05/7.26 7. ((sz00) = (sdtasdt0 (sz00) (xn))) ((sz00) != (sdtasdt0 (sz00) (xn))) ### Axiom
% 7.05/7.26 8. ((sdtasdt0 (sz00) (xn)) != (sdtasdt0 (xm) (xn))) ((sdtasdt0 (xm) (xn)) = (sz00)) ((sz00) = (sdtasdt0 (sz00) (xn))) ### Trans-sym 6 7
% 7.05/7.26 9. (((sdtasdt0 (xn) (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) (xn)))) ((sdtasdt0 (xm) (xn)) = (sz00)) ((sdtasdt0 (sz00) (xn)) != (sdtasdt0 (xm) (xn))) ### And 8
% 7.05/7.26 10. ((aNaturalNumber0 (xn)) => (((sdtasdt0 (xn) (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) (xn))))) ((sdtasdt0 (sz00) (xn)) != (sdtasdt0 (xm) (xn))) ((sdtasdt0 (xm) (xn)) = (sz00)) (aNaturalNumber0 (xn)) ### Imply 5 9
% 7.05/7.26 11. (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) W0))))) (aNaturalNumber0 (xn)) ((sdtasdt0 (xm) (xn)) = (sz00)) ((sdtasdt0 (sz00) (xn)) != (sdtasdt0 (xm) (xn))) ### All 10
% 7.05/7.26 12. (-. (((sdtasdt0 (xn) (sz00)) = (sdtasdt0 (xn) (xm))) \/ ((sdtasdt0 (sz00) (xn)) = (sdtasdt0 (xm) (xn))))) ((sdtasdt0 (xm) (xn)) = (sz00)) (aNaturalNumber0 (xn)) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) W0))))) ### NotOr 11
% 7.05/7.26 13. ((xm) != (sz00)) ((sz00) = (xm)) ### Sym(=)
% 7.05/7.26 14. (((aNaturalNumber0 (sz00)) /\ (aNaturalNumber0 (xm))) => ((((sdtasdt0 (xn) (sz00)) = (sdtasdt0 (xn) (xm))) \/ ((sdtasdt0 (sz00) (xn)) = (sdtasdt0 (xm) (xn)))) => ((sz00) = (xm)))) ((xm) != (sz00)) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) W0))))) (aNaturalNumber0 (xn)) ((sdtasdt0 (xm) (xn)) = (sz00)) (aNaturalNumber0 (xm)) (aNaturalNumber0 (sz00)) ### DisjTree 3 4 12 13
% 7.05/7.26 15. (All W2, (((aNaturalNumber0 (sz00)) /\ (aNaturalNumber0 W2)) => ((((sdtasdt0 (xn) (sz00)) = (sdtasdt0 (xn) W2)) \/ ((sdtasdt0 (sz00) (xn)) = (sdtasdt0 W2 (xn)))) => ((sz00) = W2)))) (aNaturalNumber0 (sz00)) (aNaturalNumber0 (xm)) ((sdtasdt0 (xm) (xn)) = (sz00)) (aNaturalNumber0 (xn)) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) W0))))) ((xm) != (sz00)) ### All 14
% 7.05/7.26 16. (All W1, (All W2, (((aNaturalNumber0 W1) /\ (aNaturalNumber0 W2)) => ((((sdtasdt0 (xn) W1) = (sdtasdt0 (xn) W2)) \/ ((sdtasdt0 W1 (xn)) = (sdtasdt0 W2 (xn)))) => (W1 = W2))))) ((xm) != (sz00)) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) W0))))) (aNaturalNumber0 (xn)) ((sdtasdt0 (xm) (xn)) = (sz00)) (aNaturalNumber0 (xm)) (aNaturalNumber0 (sz00)) ### All 15
% 7.05/7.26 17. ((aNaturalNumber0 (xn)) => (((xn) != (sz00)) => (All W1, (All W2, (((aNaturalNumber0 W1) /\ (aNaturalNumber0 W2)) => ((((sdtasdt0 (xn) W1) = (sdtasdt0 (xn) W2)) \/ ((sdtasdt0 W1 (xn)) = (sdtasdt0 W2 (xn)))) => (W1 = W2))))))) (aNaturalNumber0 (sz00)) (aNaturalNumber0 (xm)) ((sdtasdt0 (xm) (xn)) = (sz00)) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) W0))))) ((xm) != (sz00)) ((xn) != (sz00)) (aNaturalNumber0 (xn)) ### DisjTree 1 2 16
% 7.05/7.26 18. (All W0, ((aNaturalNumber0 W0) => ((W0 != (sz00)) => (All W1, (All W2, (((aNaturalNumber0 W1) /\ (aNaturalNumber0 W2)) => ((((sdtasdt0 W0 W1) = (sdtasdt0 W0 W2)) \/ ((sdtasdt0 W1 W0) = (sdtasdt0 W2 W0))) => (W1 = W2)))))))) (aNaturalNumber0 (xn)) ((xn) != (sz00)) ((xm) != (sz00)) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) W0))))) ((sdtasdt0 (xm) (xn)) = (sz00)) (aNaturalNumber0 (xm)) (aNaturalNumber0 (sz00)) ### All 17
% 7.05/7.26 19. ((aNaturalNumber0 (xm)) /\ (aNaturalNumber0 (xn))) (aNaturalNumber0 (sz00)) ((sdtasdt0 (xm) (xn)) = (sz00)) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) W0))))) ((xm) != (sz00)) ((xn) != (sz00)) (All W0, ((aNaturalNumber0 W0) => ((W0 != (sz00)) => (All W1, (All W2, (((aNaturalNumber0 W1) /\ (aNaturalNumber0 W2)) => ((((sdtasdt0 W0 W1) = (sdtasdt0 W0 W2)) \/ ((sdtasdt0 W1 W0) = (sdtasdt0 W2 W0))) => (W1 = W2)))))))) ### And 18
% 7.05/7.26 20. (-. (((sdtasdt0 (xm) (xn)) = (sz00)) => (((xm) = (sz00)) \/ ((xn) = (sz00))))) (All W0, ((aNaturalNumber0 W0) => ((W0 != (sz00)) => (All W1, (All W2, (((aNaturalNumber0 W1) /\ (aNaturalNumber0 W2)) => ((((sdtasdt0 W0 W1) = (sdtasdt0 W0 W2)) \/ ((sdtasdt0 W1 W0) = (sdtasdt0 W2 W0))) => (W1 = W2)))))))) (All W0, ((aNaturalNumber0 W0) => (((sdtasdt0 W0 (sz00)) = (sz00)) /\ ((sz00) = (sdtasdt0 (sz00) W0))))) (aNaturalNumber0 (sz00)) ((aNaturalNumber0 (xm)) /\ (aNaturalNumber0 (xn))) ### ConjTree 19
% 7.05/7.26 % SZS output end Proof
% 7.05/7.26 (* END-PROOF *)
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