TSTP Solution File: SYN356+1 by SuperZenon---0.0.1
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% File : SuperZenon---0.0.1
% Problem : SYN356+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 : n012.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 12:42:56 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 : SYN356+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 : n012.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 : Tue Jul 12 03:10:42 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_r (a) (b)) (-. (big_r (a) (b))) ### Axiom
% 0.19/0.40 2. (big_q (a) (b)) (-. (big_q (a) (b))) ### Axiom
% 0.19/0.40 3. (-. (big_q (a) (a))) (big_q (a) (a)) ### Axiom
% 0.19/0.40 4. ((big_q (a) (b)) => (big_q (a) (a))) (-. (big_q (a) (a))) (big_q (a) (b)) ### Imply 2 3
% 0.19/0.40 5. (All V, ((big_q (a) V) => (big_q (a) (a)))) (big_q (a) (b)) (-. (big_q (a) (a))) ### All 4
% 0.19/0.40 6. (All U, (All V, ((big_q U V) => (big_q U U)))) (-. (big_q (a) (a))) (big_q (a) (b)) ### All 5
% 0.19/0.40 7. ((big_r (b) (a)) /\ (big_q (a) (b))) (-. (big_q (a) (a))) (All U, (All V, ((big_q U V) => (big_q U U)))) ### And 6
% 0.19/0.40 8. ((big_r (a) (b)) => ((big_r (b) (a)) /\ (big_q (a) (b)))) (All U, (All V, ((big_q U V) => (big_q U U)))) (-. (big_q (a) (a))) (big_r (a) (b)) ### Imply 1 7
% 0.19/0.40 9. (All Y, ((big_r (a) Y) => ((big_r Y (a)) /\ (big_q (a) Y)))) (big_r (a) (b)) (-. (big_q (a) (a))) (All U, (All V, ((big_q U V) => (big_q U U)))) ### All 8
% 0.19/0.40 10. (All X, (All Y, ((big_r X Y) => ((big_r Y X) /\ (big_q X Y))))) (All U, (All V, ((big_q U V) => (big_q U U)))) (-. (big_q (a) (a))) (big_r (a) (b)) ### All 9
% 0.19/0.40 11. (big_r (a) (b)) (-. (big_r (a) (b))) ### Axiom
% 0.19/0.40 12. (-. (big_r (b) (a))) (big_r (b) (a)) ### Axiom
% 0.19/0.40 13. ((big_r (b) (a)) /\ (big_q (a) (b))) (-. (big_r (b) (a))) ### And 12
% 0.19/0.40 14. ((big_r (a) (b)) => ((big_r (b) (a)) /\ (big_q (a) (b)))) (-. (big_r (b) (a))) (big_r (a) (b)) ### Imply 11 13
% 0.19/0.40 15. (All Y, ((big_r (a) Y) => ((big_r Y (a)) /\ (big_q (a) Y)))) (big_r (a) (b)) (-. (big_r (b) (a))) ### All 14
% 0.19/0.40 16. (All X, (All Y, ((big_r X Y) => ((big_r Y X) /\ (big_q X Y))))) (-. (big_r (b) (a))) (big_r (a) (b)) ### All 15
% 0.19/0.40 17. (big_q (b) (a)) (-. (big_q (b) (a))) ### Axiom
% 0.19/0.40 18. (-. (big_q (b) (b))) (big_q (b) (b)) ### Axiom
% 0.19/0.40 19. ((big_q (b) (a)) => (big_q (b) (b))) (-. (big_q (b) (b))) (big_q (b) (a)) ### Imply 17 18
% 0.19/0.40 20. (All V, ((big_q (b) V) => (big_q (b) (b)))) (big_q (b) (a)) (-. (big_q (b) (b))) ### All 19
% 0.19/0.40 21. (All U, (All V, ((big_q U V) => (big_q U U)))) (-. (big_q (b) (b))) (big_q (b) (a)) ### All 20
% 0.19/0.40 22. ((big_r (a) (b)) /\ (big_q (b) (a))) (-. (big_q (b) (b))) (All U, (All V, ((big_q U V) => (big_q U U)))) ### And 21
% 0.19/0.40 23. ((big_r (b) (a)) => ((big_r (a) (b)) /\ (big_q (b) (a)))) (All U, (All V, ((big_q U V) => (big_q U U)))) (-. (big_q (b) (b))) (big_r (a) (b)) (All X, (All Y, ((big_r X Y) => ((big_r Y X) /\ (big_q X Y))))) ### Imply 16 22
% 0.19/0.40 24. (All Y, ((big_r (b) Y) => ((big_r Y (b)) /\ (big_q (b) Y)))) (All X, (All Y, ((big_r X Y) => ((big_r Y X) /\ (big_q X Y))))) (big_r (a) (b)) (-. (big_q (b) (b))) (All U, (All V, ((big_q U V) => (big_q U U)))) ### All 23
% 0.19/0.40 25. (All U, (All V, ((big_q U V) => (big_q U U)))) (-. (big_q (b) (b))) (big_r (a) (b)) (All X, (All Y, ((big_r X Y) => ((big_r Y X) /\ (big_q X Y))))) ### All 24
% 0.19/0.40 26. (-. ((big_q (a) (a)) /\ (big_q (b) (b)))) (big_r (a) (b)) (All U, (All V, ((big_q U V) => (big_q U U)))) (All X, (All Y, ((big_r X Y) => ((big_r Y X) /\ (big_q X Y))))) ### NotAnd 10 25
% 0.19/0.40 27. (-. (((big_r (a) (b)) /\ ((All X, (All Y, ((big_r X Y) => ((big_r Y X) /\ (big_q X Y))))) /\ (All U, (All V, ((big_q U V) => (big_q U U)))))) => ((big_q (a) (a)) /\ (big_q (b) (b))))) ### ConjTree 26
% 0.19/0.40 % SZS output end Proof
% 0.19/0.40 (* END-PROOF *)
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