TSTP Solution File: NUM568+3 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : NUM568+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 : 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 14:43:42 EDT 2022
% Result : Theorem 252.91s 253.09s
% Output : Proof 252.91s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : NUM568+3 : TPTP v8.1.0. Released v4.0.0.
% 0.11/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.34 % 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 : Thu Jul 7 08:46:38 EDT 2022
% 0.13/0.34 % CPUTime :
% 252.91/253.09 % SZS status Theorem
% 252.91/253.09 (* PROOF-FOUND *)
% 252.91/253.09 (* BEGIN-PROOF *)
% 252.91/253.09 % SZS output start Proof
% 252.91/253.09 1. (aElementOf0 (xK) (szNzAzT0)) (-. (aElementOf0 (xK) (szNzAzT0))) ### Axiom
% 252.91/253.09 2. ((xK) != (sz00)) ((xK) = (sz00)) ### Axiom
% 252.91/253.09 3. (aElementOf0 T_0 (szNzAzT0)) (-. (aElementOf0 T_0 (szNzAzT0))) ### Axiom
% 252.91/253.09 4. ((xK) = (szszuzczcdt0 T_0)) ((szszuzczcdt0 T_0) != (xK)) ### Sym(=)
% 252.91/253.09 5. (-. ((aElementOf0 T_0 (szNzAzT0)) /\ ((szszuzczcdt0 T_0) = (xK)))) ((xK) = (szszuzczcdt0 T_0)) (aElementOf0 T_0 (szNzAzT0)) ### NotAnd 3 4
% 252.91/253.09 6. (-. (Ex W0, ((aElementOf0 W0 (szNzAzT0)) /\ ((szszuzczcdt0 W0) = (xK))))) (aElementOf0 T_0 (szNzAzT0)) ((xK) = (szszuzczcdt0 T_0)) ### NotExists 5
% 252.91/253.09 7. ((aElementOf0 T_0 (szNzAzT0)) /\ ((xK) = (szszuzczcdt0 T_0))) (-. (Ex W0, ((aElementOf0 W0 (szNzAzT0)) /\ ((szszuzczcdt0 W0) = (xK))))) ### And 6
% 252.91/253.09 8. (Ex W1, ((aElementOf0 W1 (szNzAzT0)) /\ ((xK) = (szszuzczcdt0 W1)))) (-. (Ex W0, ((aElementOf0 W0 (szNzAzT0)) /\ ((szszuzczcdt0 W0) = (xK))))) ### Exists 7
% 252.91/253.09 9. ((aElementOf0 (xK) (szNzAzT0)) => (((xK) = (sz00)) \/ (Ex W1, ((aElementOf0 W1 (szNzAzT0)) /\ ((xK) = (szszuzczcdt0 W1)))))) (-. (Ex W0, ((aElementOf0 W0 (szNzAzT0)) /\ ((szszuzczcdt0 W0) = (xK))))) ((xK) != (sz00)) (aElementOf0 (xK) (szNzAzT0)) ### DisjTree 1 2 8
% 252.91/253.09 10. (All W0, ((aElementOf0 W0 (szNzAzT0)) => ((W0 = (sz00)) \/ (Ex W1, ((aElementOf0 W1 (szNzAzT0)) /\ (W0 = (szszuzczcdt0 W1))))))) (aElementOf0 (xK) (szNzAzT0)) ((xK) != (sz00)) (-. (Ex W0, ((aElementOf0 W0 (szNzAzT0)) /\ ((szszuzczcdt0 W0) = (xK))))) ### All 9
% 252.91/253.09 % SZS output end Proof
% 252.91/253.09 (* END-PROOF *)
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