TSTP Solution File: SYN729+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SYN729+1 : TPTP v8.1.0. Released v2.5.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n006.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 : Thu Jul 21 12:46:10 EDT 2022
% Result : Theorem 0.20s 0.39s
% 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
% 0.03/0.12 % Problem : SYN729+1 : TPTP v8.1.0. Released v2.5.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.13/0.33 % Computer : n006.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 : Mon Jul 11 13:46:20 EDT 2022
% 0.13/0.33 % CPUTime :
% 0.20/0.39 % SZS status Theorem
% 0.20/0.39 (* PROOF-FOUND *)
% 0.20/0.39 (* BEGIN-PROOF *)
% 0.20/0.39 % SZS output start Proof
% 0.20/0.39 1. (p T_0) (-. (p T_0)) ### Axiom
% 0.20/0.39 2. (p T_1) (-. (p T_1)) ### Axiom
% 0.20/0.39 3. (-. (p (h T_1))) (p (h T_1)) ### Axiom
% 0.20/0.39 4. ((p (g T_1)) /\ (p (h T_1))) (-. (p (h T_1))) ### And 3
% 0.20/0.39 5. ((p T_1) => ((p (g T_1)) /\ (p (h T_1)))) (-. (p (h T_1))) (p T_1) ### Imply 2 4
% 0.20/0.39 6. (All W, ((p W) => ((p (g W)) /\ (p (h W))))) (p T_1) (-. (p (h T_1))) ### All 5
% 0.20/0.39 7. (l T_0 (g (h T_1))) (-. (l T_0 (g (h T_1)))) ### Axiom
% 0.20/0.39 8. (p (g (h T_1))) (-. (p (g (h T_1)))) ### Axiom
% 0.20/0.39 9. (-. ((l T_0 (g (h T_1))) /\ (p (g (h T_1))))) (p (g (h T_1))) (l T_0 (g (h T_1))) ### NotAnd 7 8
% 0.20/0.39 10. (-. (Ex Y, ((l T_0 Y) /\ (p Y)))) (l T_0 (g (h T_1))) (p (g (h T_1))) ### NotExists 9
% 0.20/0.39 11. ((p (g (h T_1))) /\ (p (h (h T_1)))) (l T_0 (g (h T_1))) (-. (Ex Y, ((l T_0 Y) /\ (p Y)))) ### And 10
% 0.20/0.39 12. ((p (h T_1)) => ((p (g (h T_1))) /\ (p (h (h T_1))))) (-. (Ex Y, ((l T_0 Y) /\ (p Y)))) (l T_0 (g (h T_1))) (p T_1) (All W, ((p W) => ((p (g W)) /\ (p (h W))))) ### Imply 6 11
% 0.20/0.39 13. (All W, ((p W) => ((p (g W)) /\ (p (h W))))) (p T_1) (l T_0 (g (h T_1))) (-. (Ex Y, ((l T_0 Y) /\ (p Y)))) ### All 12
% 0.20/0.39 14. ((l T_0 (g (h T_1))) /\ (p T_1)) (-. (Ex Y, ((l T_0 Y) /\ (p Y)))) (All W, ((p W) => ((p (g W)) /\ (p (h W))))) ### And 13
% 0.20/0.39 15. ((p T_0) => ((l T_0 (g (h T_1))) /\ (p T_1))) (All W, ((p W) => ((p (g W)) /\ (p (h W))))) (-. (Ex Y, ((l T_0 Y) /\ (p Y)))) (p T_0) ### Imply 1 14
% 0.20/0.39 16. (Ex Y, ((p T_0) => ((l T_0 (g (h Y))) /\ (p Y)))) (p T_0) (-. (Ex Y, ((l T_0 Y) /\ (p Y)))) (All W, ((p W) => ((p (g W)) /\ (p (h W))))) ### Exists 15
% 0.20/0.39 17. (All X, (Ex Y, ((p X) => ((l X (g (h Y))) /\ (p Y))))) (All W, ((p W) => ((p (g W)) /\ (p (h W))))) (-. (Ex Y, ((l T_0 Y) /\ (p Y)))) (p T_0) ### All 16
% 0.20/0.39 18. (-. ((p T_0) => (Ex Y, ((l T_0 Y) /\ (p Y))))) (All W, ((p W) => ((p (g W)) /\ (p (h W))))) (All X, (Ex Y, ((p X) => ((l X (g (h Y))) /\ (p Y))))) ### NotImply 17
% 0.20/0.39 19. (-. (All X, ((p X) => (Ex Y, ((l X Y) /\ (p Y)))))) (All X, (Ex Y, ((p X) => ((l X (g (h Y))) /\ (p Y))))) (All W, ((p W) => ((p (g W)) /\ (p (h W))))) ### NotAllEx 18
% 0.20/0.39 20. (-. (((All X, (Ex Y, ((p X) => ((l X (g (h Y))) /\ (p Y))))) /\ (All W, ((p W) => ((p (g W)) /\ (p (h W)))))) => (All X, ((p X) => (Ex Y, ((l X Y) /\ (p Y))))))) ### ConjTree 19
% 0.20/0.39 % SZS output end Proof
% 0.20/0.39 (* END-PROOF *)
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