TSTP Solution File: SYN069+1 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : SYN069+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 12:40:51 EDT 2022
% Result : Theorem 0.19s 0.40s
% Output : Proof 0.19s
% 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 : SYN069+1 : TPTP v8.1.0. Released v2.0.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n019.cluster.edu
% 0.12/0.33 % Model : x86_64 x86_64
% 0.12/0.33 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.33 % Memory : 8042.1875MB
% 0.12/0.33 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.33 % CPULimit : 300
% 0.12/0.33 % WCLimit : 600
% 0.12/0.33 % DateTime : Mon Jul 11 18:15:08 EDT 2022
% 0.12/0.33 % 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_f T_0) (-. (big_f T_0)) ### Axiom
% 0.19/0.40 2. (All Y, (((big_g Y) /\ (big_h T_0 Y)) => (big_j T_0 Y))) (-. (All Y, (((big_g Y) /\ (big_h T_0 Y)) => (big_j T_0 Y)))) ### Axiom
% 0.19/0.40 3. (big_f T_0) (-. (big_f T_0)) ### Axiom
% 0.19/0.40 4. (big_h T_0 T_1) (-. (big_h T_0 T_1)) ### Axiom
% 0.19/0.40 5. (-. (big_l T_1)) (big_l T_1) ### Axiom
% 0.19/0.40 6. ((big_h T_0 T_1) => (big_l T_1)) (-. (big_l T_1)) (big_h T_0 T_1) ### Imply 4 5
% 0.19/0.40 7. (All Y, ((big_h T_0 Y) => (big_l Y))) (big_h T_0 T_1) (-. (big_l T_1)) ### All 6
% 0.19/0.40 8. (-. (big_k T_1)) (big_k T_1) ### Axiom
% 0.19/0.40 9. ((big_g T_1) /\ ((big_h T_0 T_1) /\ (big_k T_1))) (-. (big_k T_1)) ### ConjTree 8
% 0.19/0.40 10. (All Y1, ((big_g Y1) /\ ((big_h T_0 Y1) /\ (big_k Y1)))) (-. (big_k T_1)) ### All 9
% 0.19/0.40 11. (-. ((big_l T_1) /\ (big_k T_1))) (All Y1, ((big_g Y1) /\ ((big_h T_0 Y1) /\ (big_k Y1)))) (big_h T_0 T_1) (All Y, ((big_h T_0 Y) => (big_l Y))) ### NotAnd 7 10
% 0.19/0.40 12. (-. (Ex Y, ((big_l Y) /\ (big_k Y)))) (All Y, ((big_h T_0 Y) => (big_l Y))) (big_h T_0 T_1) (All Y1, ((big_g Y1) /\ ((big_h T_0 Y1) /\ (big_k Y1)))) ### NotExists 11
% 0.19/0.40 13. ((big_g T_1) /\ (big_h T_0 T_1)) (All Y1, ((big_g Y1) /\ ((big_h T_0 Y1) /\ (big_k Y1)))) (All Y, ((big_h T_0 Y) => (big_l Y))) (-. (Ex Y, ((big_l Y) /\ (big_k Y)))) ### And 12
% 0.19/0.40 14. (Ex Y, ((big_g Y) /\ (big_h T_0 Y))) (-. (Ex Y, ((big_l Y) /\ (big_k Y)))) (All Y, ((big_h T_0 Y) => (big_l Y))) (All Y1, ((big_g Y1) /\ ((big_h T_0 Y1) /\ (big_k Y1)))) ### Exists 13
% 0.19/0.40 15. (-. (-. (Ex Y, ((big_g Y) /\ (big_h T_0 Y))))) (All Y1, ((big_g Y1) /\ ((big_h T_0 Y1) /\ (big_k Y1)))) (All Y, ((big_h T_0 Y) => (big_l Y))) (-. (Ex Y, ((big_l Y) /\ (big_k Y)))) ### NotNot 14
% 0.19/0.40 16. (-. ((big_f T_0) /\ (-. (Ex Y, ((big_g Y) /\ (big_h T_0 Y)))))) (-. (Ex Y, ((big_l Y) /\ (big_k Y)))) (All Y, ((big_h T_0 Y) => (big_l Y))) (All Y1, ((big_g Y1) /\ ((big_h T_0 Y1) /\ (big_k Y1)))) (big_f T_0) ### NotAnd 3 15
% 0.19/0.40 17. (-. (Ex X, ((big_f X) /\ (-. (Ex Y, ((big_g Y) /\ (big_h X Y))))))) (big_f T_0) (All Y1, ((big_g Y1) /\ ((big_h T_0 Y1) /\ (big_k Y1)))) (All Y, ((big_h T_0 Y) => (big_l Y))) (-. (Ex Y, ((big_l Y) /\ (big_k Y)))) ### NotExists 16
% 0.19/0.40 18. (((big_f T_0) /\ (All Y, (((big_g Y) /\ (big_h T_0 Y)) => (big_j T_0 Y)))) => (All Y1, ((big_g Y1) /\ ((big_h T_0 Y1) /\ (big_k Y1))))) (-. (Ex Y, ((big_l Y) /\ (big_k Y)))) (All Y, ((big_h T_0 Y) => (big_l Y))) (-. (Ex X, ((big_f X) /\ (-. (Ex Y, ((big_g Y) /\ (big_h X Y))))))) (All Y, (((big_g Y) /\ (big_h T_0 Y)) => (big_j T_0 Y))) (big_f T_0) ### DisjTree 1 2 17
% 0.19/0.40 19. (All X, (((big_f X) /\ (All Y, (((big_g Y) /\ (big_h X Y)) => (big_j X Y)))) => (All Y1, ((big_g Y1) /\ ((big_h X Y1) /\ (big_k Y1)))))) (big_f T_0) (All Y, (((big_g Y) /\ (big_h T_0 Y)) => (big_j T_0 Y))) (-. (Ex X, ((big_f X) /\ (-. (Ex Y, ((big_g Y) /\ (big_h X Y))))))) (All Y, ((big_h T_0 Y) => (big_l Y))) (-. (Ex Y, ((big_l Y) /\ (big_k Y)))) ### All 18
% 0.19/0.40 20. ((big_f T_0) /\ ((All Y, ((big_h T_0 Y) => (big_l Y))) /\ (All Y, (((big_g Y) /\ (big_h T_0 Y)) => (big_j T_0 Y))))) (-. (Ex Y, ((big_l Y) /\ (big_k Y)))) (-. (Ex X, ((big_f X) /\ (-. (Ex Y, ((big_g Y) /\ (big_h X Y))))))) (All X, (((big_f X) /\ (All Y, (((big_g Y) /\ (big_h X Y)) => (big_j X Y)))) => (All Y1, ((big_g Y1) /\ ((big_h X Y1) /\ (big_k Y1)))))) ### ConjTree 19
% 0.19/0.40 21. (Ex X, ((big_f X) /\ ((All Y, ((big_h X Y) => (big_l Y))) /\ (All Y, (((big_g Y) /\ (big_h X Y)) => (big_j X Y)))))) (All X, (((big_f X) /\ (All Y, (((big_g Y) /\ (big_h X Y)) => (big_j X Y)))) => (All Y1, ((big_g Y1) /\ ((big_h X Y1) /\ (big_k Y1)))))) (-. (Ex X, ((big_f X) /\ (-. (Ex Y, ((big_g Y) /\ (big_h X Y))))))) (-. (Ex Y, ((big_l Y) /\ (big_k Y)))) ### Exists 20
% 0.19/0.40 % SZS output end Proof
% 0.19/0.40 (* END-PROOF *)
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