TSTP Solution File: SYN365+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SYN365+1 : TPTP v8.1.0. Released v2.0.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n019.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 12:43:01 EDT 2022
% Result : Theorem 0.19s 0.40s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN365+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n019.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Mon Jul 11 17:09:23 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.40 % SZS status Theorem
% 0.19/0.40 (* PROOF-FOUND *)
% 0.19/0.40 (* BEGIN-PROOF *)
% 0.19/0.40 % SZS output start Proof
% 0.19/0.40 1. (big_p T_0) (-. (big_p T_0)) ### Axiom
% 0.19/0.40 2. (big_p T_1) (-. (big_p T_1)) ### Axiom
% 0.19/0.40 3. (-. (big_p (h T_1))) (big_p (h T_1)) ### Axiom
% 0.19/0.40 4. ((big_p (g T_1)) /\ (big_p (h T_1))) (-. (big_p (h T_1))) ### And 3
% 0.19/0.40 5. ((big_p T_1) => ((big_p (g T_1)) /\ (big_p (h T_1)))) (-. (big_p (h T_1))) (big_p T_1) ### Imply 2 4
% 0.19/0.40 6. (All W, ((big_p W) => ((big_p (g W)) /\ (big_p (h W))))) (big_p T_1) (-. (big_p (h T_1))) ### All 5
% 0.19/0.40 7. (big_r T_0 (g (h T_1))) (-. (big_r T_0 (g (h T_1)))) ### Axiom
% 0.19/0.40 8. (big_p (g (h T_1))) (-. (big_p (g (h T_1)))) ### Axiom
% 0.19/0.40 9. (-. ((big_r T_0 (g (h T_1))) /\ (big_p (g (h T_1))))) (big_p (g (h T_1))) (big_r T_0 (g (h T_1))) ### NotAnd 7 8
% 0.19/0.40 10. (-. (Ex Y, ((big_r T_0 Y) /\ (big_p Y)))) (big_r T_0 (g (h T_1))) (big_p (g (h T_1))) ### NotExists 9
% 0.19/0.40 11. ((big_p (g (h T_1))) /\ (big_p (h (h T_1)))) (big_r T_0 (g (h T_1))) (-. (Ex Y, ((big_r T_0 Y) /\ (big_p Y)))) ### And 10
% 0.19/0.40 12. ((big_p (h T_1)) => ((big_p (g (h T_1))) /\ (big_p (h (h T_1))))) (-. (Ex Y, ((big_r T_0 Y) /\ (big_p Y)))) (big_r T_0 (g (h T_1))) (big_p T_1) (All W, ((big_p W) => ((big_p (g W)) /\ (big_p (h W))))) ### Imply 6 11
% 0.19/0.40 13. (All W, ((big_p W) => ((big_p (g W)) /\ (big_p (h W))))) (big_p T_1) (big_r T_0 (g (h T_1))) (-. (Ex Y, ((big_r T_0 Y) /\ (big_p Y)))) ### All 12
% 0.19/0.40 14. ((big_r T_0 (g (h T_1))) /\ (big_p T_1)) (-. (Ex Y, ((big_r T_0 Y) /\ (big_p Y)))) (All W, ((big_p W) => ((big_p (g W)) /\ (big_p (h W))))) ### And 13
% 0.19/0.40 15. ((big_p T_0) => ((big_r T_0 (g (h T_1))) /\ (big_p T_1))) (All W, ((big_p W) => ((big_p (g W)) /\ (big_p (h W))))) (-. (Ex Y, ((big_r T_0 Y) /\ (big_p Y)))) (big_p T_0) ### Imply 1 14
% 0.19/0.40 16. (Ex Y, ((big_p T_0) => ((big_r T_0 (g (h Y))) /\ (big_p Y)))) (big_p T_0) (-. (Ex Y, ((big_r T_0 Y) /\ (big_p Y)))) (All W, ((big_p W) => ((big_p (g W)) /\ (big_p (h W))))) ### Exists 15
% 0.19/0.40 17. (All X, (Ex Y, ((big_p X) => ((big_r X (g (h Y))) /\ (big_p Y))))) (All W, ((big_p W) => ((big_p (g W)) /\ (big_p (h W))))) (-. (Ex Y, ((big_r T_0 Y) /\ (big_p Y)))) (big_p T_0) ### All 16
% 0.19/0.40 18. (-. ((big_p T_0) => (Ex Y, ((big_r T_0 Y) /\ (big_p Y))))) (All W, ((big_p W) => ((big_p (g W)) /\ (big_p (h W))))) (All X, (Ex Y, ((big_p X) => ((big_r X (g (h Y))) /\ (big_p Y))))) ### NotImply 17
% 0.19/0.40 19. (-. (All X, ((big_p X) => (Ex Y, ((big_r X Y) /\ (big_p Y)))))) (All X, (Ex Y, ((big_p X) => ((big_r X (g (h Y))) /\ (big_p Y))))) (All W, ((big_p W) => ((big_p (g W)) /\ (big_p (h W))))) ### NotAllEx 18
% 0.19/0.40 20. (-. (((All X, (Ex Y, ((big_p X) => ((big_r X (g (h Y))) /\ (big_p Y))))) /\ (All W, ((big_p W) => ((big_p (g W)) /\ (big_p (h W)))))) => (All X, ((big_p X) => (Ex Y, ((big_r X Y) /\ (big_p Y))))))) ### ConjTree 19
% 0.19/0.40 % SZS output end Proof
% 0.19/0.40 (* END-PROOF *)
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