TSTP Solution File: NUM458+1 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : NUM458+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 14:42:38 EDT 2022
% Result : Theorem 0.19s 0.41s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.04/0.12 % Problem : NUM458+1 : TPTP v8.1.0. Released v4.0.0.
% 0.04/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n029.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 11:16:42 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.19/0.41 % SZS status Theorem
% 0.19/0.41 (* PROOF-FOUND *)
% 0.19/0.41 (* BEGIN-PROOF *)
% 0.19/0.41 % SZS output start Proof
% 0.19/0.41 1. (aNaturalNumber0 (xm)) (-. (aNaturalNumber0 (xm))) ### Axiom
% 0.19/0.41 2. (aNaturalNumber0 (xm)) (-. (aNaturalNumber0 (xm))) ### Axiom
% 0.19/0.41 3. (aNaturalNumber0 (xm)) (-. (aNaturalNumber0 (xm))) ### Axiom
% 0.19/0.41 4. (aNaturalNumber0 (sz00)) (-. (aNaturalNumber0 (sz00))) ### Axiom
% 0.19/0.41 5. ((sdtpldt0 (xm) (sz00)) = (xm)) ((sdtpldt0 (xm) (sz00)) != (xm)) ### Axiom
% 0.19/0.41 6. (-. ((aNaturalNumber0 (sz00)) /\ ((sdtpldt0 (xm) (sz00)) = (xm)))) ((sdtpldt0 (xm) (sz00)) = (xm)) (aNaturalNumber0 (sz00)) ### NotAnd 4 5
% 0.19/0.41 7. (-. (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = (xm))))) (aNaturalNumber0 (sz00)) ((sdtpldt0 (xm) (sz00)) = (xm)) ### NotExists 6
% 0.19/0.41 8. (((sdtpldt0 (xm) (sz00)) = (xm)) /\ ((xm) = (sdtpldt0 (sz00) (xm)))) (aNaturalNumber0 (sz00)) (-. (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = (xm))))) ### And 7
% 0.19/0.41 9. ((aNaturalNumber0 (xm)) => (((sdtpldt0 (xm) (sz00)) = (xm)) /\ ((xm) = (sdtpldt0 (sz00) (xm))))) (-. (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = (xm))))) (aNaturalNumber0 (sz00)) (aNaturalNumber0 (xm)) ### Imply 3 8
% 0.19/0.41 10. (All W0, ((aNaturalNumber0 W0) => (((sdtpldt0 W0 (sz00)) = W0) /\ (W0 = (sdtpldt0 (sz00) W0))))) (aNaturalNumber0 (xm)) (aNaturalNumber0 (sz00)) (-. (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = (xm))))) ### All 9
% 0.19/0.41 11. (-. (sdtlseqdt0 (xm) (xm))) (sdtlseqdt0 (xm) (xm)) ### Axiom
% 0.19/0.41 12. ((sdtlseqdt0 (xm) (xm)) <=> (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = (xm))))) (-. (sdtlseqdt0 (xm) (xm))) (aNaturalNumber0 (sz00)) (aNaturalNumber0 (xm)) (All W0, ((aNaturalNumber0 W0) => (((sdtpldt0 W0 (sz00)) = W0) /\ (W0 = (sdtpldt0 (sz00) W0))))) ### Equiv 10 11
% 0.19/0.41 13. (((aNaturalNumber0 (xm)) /\ (aNaturalNumber0 (xm))) => ((sdtlseqdt0 (xm) (xm)) <=> (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = (xm)))))) (All W0, ((aNaturalNumber0 W0) => (((sdtpldt0 W0 (sz00)) = W0) /\ (W0 = (sdtpldt0 (sz00) W0))))) (aNaturalNumber0 (sz00)) (-. (sdtlseqdt0 (xm) (xm))) (aNaturalNumber0 (xm)) ### DisjTree 1 2 12
% 0.19/0.41 14. (All W1, (((aNaturalNumber0 (xm)) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 (xm) W1) <=> (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = W1)))))) (aNaturalNumber0 (xm)) (-. (sdtlseqdt0 (xm) (xm))) (aNaturalNumber0 (sz00)) (All W0, ((aNaturalNumber0 W0) => (((sdtpldt0 W0 (sz00)) = W0) /\ (W0 = (sdtpldt0 (sz00) W0))))) ### All 13
% 0.19/0.41 15. (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 W0 W1) <=> (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 W0 W2) = W1))))))) (All W0, ((aNaturalNumber0 W0) => (((sdtpldt0 W0 (sz00)) = W0) /\ (W0 = (sdtpldt0 (sz00) W0))))) (aNaturalNumber0 (sz00)) (-. (sdtlseqdt0 (xm) (xm))) (aNaturalNumber0 (xm)) ### All 14
% 0.19/0.41 % SZS output end Proof
% 0.19/0.41 (* END-PROOF *)
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