TSTP Solution File: SYN386+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SYN386+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 : n004.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 12:43:11 EDT 2022
% Result : Theorem 0.56s 0.72s
% Output : Proof 0.56s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN386+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n004.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 13:11:52 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.56/0.72 % SZS status Theorem
% 0.56/0.72 (* PROOF-FOUND *)
% 0.56/0.72 (* BEGIN-PROOF *)
% 0.56/0.72 % SZS output start Proof
% 0.56/0.72 1. (big_s T_0 T_1) (-. (big_s T_0 T_1)) ### Axiom
% 0.56/0.72 2. (-. (big_d T_1 T_2 T_3)) (big_d T_1 T_2 T_3) ### Axiom
% 0.56/0.72 3. ((big_s T_0 T_1) => (big_d T_1 T_2 T_3)) (-. (big_d T_1 T_2 T_3)) (big_s T_0 T_1) ### Imply 1 2
% 0.56/0.72 4. (All W, ((big_s T_0 W) => (big_d W T_2 T_3))) (big_s T_0 T_1) (-. (big_d T_1 T_2 T_3)) ### All 3
% 0.56/0.72 5. (big_f T_1 T_4) (-. (big_f T_1 T_4)) ### Axiom
% 0.56/0.72 6. (big_f T_2 T_5) (-. (big_f T_2 T_5)) ### Axiom
% 0.56/0.72 7. (-. (big_d T_4 T_5 T_6)) (big_d T_4 T_5 T_6) ### Axiom
% 0.56/0.72 8. (((big_f T_1 T_4) /\ (big_f T_2 T_5)) => (big_d T_4 T_5 T_6)) (-. (big_d T_4 T_5 T_6)) (big_f T_2 T_5) (big_f T_1 T_4) ### DisjTree 5 6 7
% 0.56/0.72 9. (All Z, (((big_f T_1 T_4) /\ (big_f T_2 Z)) => (big_d T_4 Z T_6))) (big_f T_1 T_4) (big_f T_2 T_5) (-. (big_d T_4 T_5 T_6)) ### All 8
% 0.56/0.72 10. (All Y, (All Z, (((big_f T_1 Y) /\ (big_f T_2 Z)) => (big_d Y Z T_6)))) (-. (big_d T_4 T_5 T_6)) (big_f T_2 T_5) (big_f T_1 T_4) ### All 9
% 0.56/0.72 11. ((big_d T_1 T_2 T_3) => (All Y, (All Z, (((big_f T_1 Y) /\ (big_f T_2 Z)) => (big_d Y Z T_6))))) (big_f T_1 T_4) (big_f T_2 T_5) (-. (big_d T_4 T_5 T_6)) (big_s T_0 T_1) (All W, ((big_s T_0 W) => (big_d W T_2 T_3))) ### Imply 4 10
% 0.56/0.72 12. (All B, ((big_d T_1 B T_3) => (All Y, (All Z, (((big_f T_1 Y) /\ (big_f B Z)) => (big_d Y Z T_6)))))) (All W, ((big_s T_0 W) => (big_d W T_2 T_3))) (big_s T_0 T_1) (-. (big_d T_4 T_5 T_6)) (big_f T_2 T_5) (big_f T_1 T_4) ### All 11
% 0.56/0.72 13. (All A, (All B, ((big_d A B T_3) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z T_6))))))) (big_f T_1 T_4) (big_f T_2 T_5) (-. (big_d T_4 T_5 T_6)) (big_s T_0 T_1) (All W, ((big_s T_0 W) => (big_d W T_2 T_3))) ### All 12
% 0.56/0.72 14. (-. ((big_f T_1 T_4) => (big_d T_4 T_5 T_6))) (All W, ((big_s T_0 W) => (big_d W T_2 T_3))) (big_s T_0 T_1) (big_f T_2 T_5) (All A, (All B, ((big_d A B T_3) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z T_6))))))) ### NotImply 13
% 0.56/0.72 15. (-. (All Z, ((big_f T_1 Z) => (big_d Z T_5 T_6)))) (All A, (All B, ((big_d A B T_3) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z T_6))))))) (big_f T_2 T_5) (big_s T_0 T_1) (All W, ((big_s T_0 W) => (big_d W T_2 T_3))) ### NotAllEx 14
% 0.56/0.72 16. (-. ((big_s T_0 T_1) => (All Z, ((big_f T_1 Z) => (big_d Z T_5 T_6))))) (All W, ((big_s T_0 W) => (big_d W T_2 T_3))) (big_f T_2 T_5) (All A, (All B, ((big_d A B T_3) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z T_6))))))) ### NotImply 15
% 0.56/0.72 17. (-. (All W, ((big_s T_0 W) => (All Z, ((big_f W Z) => (big_d Z T_5 T_6)))))) (All A, (All B, ((big_d A B T_3) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z T_6))))))) (big_f T_2 T_5) (All W, ((big_s T_0 W) => (big_d W T_2 T_3))) ### NotAllEx 16
% 0.56/0.72 18. (-. (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z T_5 T_6))))))) (All W, ((big_s T_0 W) => (big_d W T_2 T_3))) (big_f T_2 T_5) (All A, (All B, ((big_d A B T_3) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z T_6))))))) ### NotExists 17
% 0.56/0.72 19. (Ex N, (All W, ((big_s N W) => (big_d W T_2 T_3)))) (All A, (All B, ((big_d A B T_3) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z T_6))))))) (big_f T_2 T_5) (-. (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z T_5 T_6))))))) ### Exists 18
% 0.56/0.72 20. (All E, (Ex N, (All W, ((big_s N W) => (big_d W T_2 E))))) (-. (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z T_5 T_6))))))) (big_f T_2 T_5) (All A, (All B, ((big_d A B T_3) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z T_6))))))) ### All 19
% 0.56/0.72 21. (Ex D, (All A, (All B, ((big_d A B D) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z T_6)))))))) (big_f T_2 T_5) (-. (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z T_5 T_6))))))) (All E, (Ex N, (All W, ((big_s N W) => (big_d W T_2 E))))) ### Exists 20
% 0.56/0.72 22. (All E, (Ex D, (All A, (All B, ((big_d A B D) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z E))))))))) (All E, (Ex N, (All W, ((big_s N W) => (big_d W T_2 E))))) (-. (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z T_5 T_6))))))) (big_f T_2 T_5) ### All 21
% 0.56/0.72 23. (-. (All E, (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z T_5 E)))))))) (big_f T_2 T_5) (All E, (Ex N, (All W, ((big_s N W) => (big_d W T_2 E))))) (All E, (Ex D, (All A, (All B, ((big_d A B D) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z E))))))))) ### NotAllEx 22
% 0.56/0.72 24. (-. (Ex Y, (All E, (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z Y E))))))))) (All E, (Ex D, (All A, (All B, ((big_d A B D) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z E))))))))) (All E, (Ex N, (All W, ((big_s N W) => (big_d W T_2 E))))) (big_f T_2 T_5) ### NotExists 23
% 0.56/0.72 25. (Ex Y, (big_f T_2 Y)) (All E, (Ex N, (All W, ((big_s N W) => (big_d W T_2 E))))) (All E, (Ex D, (All A, (All B, ((big_d A B D) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z E))))))))) (-. (Ex Y, (All E, (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z Y E))))))))) ### Exists 24
% 0.56/0.72 26. (All X, (Ex Y, (big_f X Y))) (-. (Ex Y, (All E, (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z Y E))))))))) (All E, (Ex D, (All A, (All B, ((big_d A B D) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z E))))))))) (All E, (Ex N, (All W, ((big_s N W) => (big_d W T_2 E))))) ### All 25
% 0.56/0.72 27. (Ex X, (All E, (Ex N, (All W, ((big_s N W) => (big_d W X E)))))) (All E, (Ex D, (All A, (All B, ((big_d A B D) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z E))))))))) (-. (Ex Y, (All E, (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z Y E))))))))) (All X, (Ex Y, (big_f X Y))) ### Exists 26
% 0.56/0.72 28. (-. (((All X, (Ex Y, (big_f X Y))) /\ ((Ex X, (All E, (Ex N, (All W, ((big_s N W) => (big_d W X E)))))) /\ (All E, (Ex D, (All A, (All B, ((big_d A B D) => (All Y, (All Z, (((big_f A Y) /\ (big_f B Z)) => (big_d Y Z E))))))))))) => (Ex Y, (All E, (Ex M, (All W, ((big_s M W) => (All Z, ((big_f W Z) => (big_d Z Y E)))))))))) ### ConjTree 27
% 0.56/0.72 % SZS output end Proof
% 0.56/0.72 (* END-PROOF *)
%------------------------------------------------------------------------------