TSTP Solution File: NUM472+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : NUM472+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 : n011.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 14:42:46 EDT 2022
% Result : Theorem 0.20s 0.43s
% Output : Proof 0.20s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : NUM472+1 : TPTP v8.1.0. Released v4.0.0.
% 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % Computer : n011.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 : Thu Jul 7 10:00:09 EDT 2022
% 0.13/0.35 % CPUTime :
% 0.20/0.43 % SZS status Theorem
% 0.20/0.43 (* PROOF-FOUND *)
% 0.20/0.43 (* BEGIN-PROOF *)
% 0.20/0.43 % SZS output start Proof
% 0.20/0.43 1. (aNaturalNumber0 (xm)) (-. (aNaturalNumber0 (xm))) ### Axiom
% 0.20/0.43 2. (aNaturalNumber0 (xm)) (-. (aNaturalNumber0 (xm))) ### Axiom
% 0.20/0.43 3. (aNaturalNumber0 (xn)) (-. (aNaturalNumber0 (xn))) ### Axiom
% 0.20/0.43 4. (-. (aNaturalNumber0 (sdtpldt0 (xm) (xn)))) (aNaturalNumber0 (xn)) (aNaturalNumber0 (xm)) ### Extension/test/mSortsBctrp 2 3
% 0.20/0.43 5. (aNaturalNumber0 (xn)) (-. (aNaturalNumber0 (xn))) ### Axiom
% 0.20/0.43 6. ((sdtpldt0 (xm) (xn)) != (sdtpldt0 (xm) (xn))) ### Refl(=)
% 0.20/0.43 7. (-. ((aNaturalNumber0 (xn)) /\ ((sdtpldt0 (xm) (xn)) = (sdtpldt0 (xm) (xn))))) (aNaturalNumber0 (xn)) ### NotAnd 5 6
% 0.20/0.43 8. (-. (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = (sdtpldt0 (xm) (xn)))))) (aNaturalNumber0 (xn)) ### NotExists 7
% 0.20/0.43 9. (-. (sdtlseqdt0 (xm) (sdtpldt0 (xm) (xn)))) (sdtlseqdt0 (xm) (sdtpldt0 (xm) (xn))) ### Axiom
% 0.20/0.43 10. ((sdtlseqdt0 (xm) (sdtpldt0 (xm) (xn))) <=> (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = (sdtpldt0 (xm) (xn)))))) (-. (sdtlseqdt0 (xm) (sdtpldt0 (xm) (xn)))) (aNaturalNumber0 (xn)) ### Equiv 8 9
% 0.20/0.43 11. (((aNaturalNumber0 (xm)) /\ (aNaturalNumber0 (sdtpldt0 (xm) (xn)))) => ((sdtlseqdt0 (xm) (sdtpldt0 (xm) (xn))) <=> (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = (sdtpldt0 (xm) (xn))))))) (-. (sdtlseqdt0 (xm) (sdtpldt0 (xm) (xn)))) (aNaturalNumber0 (xn)) (aNaturalNumber0 (xm)) ### DisjTree 1 4 10
% 0.20/0.43 12. (All W1, (((aNaturalNumber0 (xm)) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 (xm) W1) <=> (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 (xm) W2) = W1)))))) (aNaturalNumber0 (xm)) (aNaturalNumber0 (xn)) (-. (sdtlseqdt0 (xm) (sdtpldt0 (xm) (xn)))) ### All 11
% 0.20/0.43 13. (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 W0 W1) <=> (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 W0 W2) = W1))))))) (-. (sdtlseqdt0 (xm) (sdtpldt0 (xm) (xn)))) (aNaturalNumber0 (xn)) (aNaturalNumber0 (xm)) ### All 12
% 0.20/0.43 14. ((aNaturalNumber0 (xl)) /\ ((aNaturalNumber0 (xm)) /\ (aNaturalNumber0 (xn)))) (-. (sdtlseqdt0 (xm) (sdtpldt0 (xm) (xn)))) (All W0, (All W1, (((aNaturalNumber0 W0) /\ (aNaturalNumber0 W1)) => ((sdtlseqdt0 W0 W1) <=> (Ex W2, ((aNaturalNumber0 W2) /\ ((sdtpldt0 W0 W2) = W1))))))) ### ConjTree 13
% 0.20/0.43 % SZS output end Proof
% 0.20/0.43 (* END-PROOF *)
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