TSTP Solution File: SYN056+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SYN056+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 12:40:39 EDT 2022
% Result : Theorem 0.12s 0.40s
% Output : Proof 0.12s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.11/0.12 % Problem : SYN056+1 : TPTP v8.1.0. Released v2.0.0.
% 0.11/0.12 % 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 : Mon Jul 11 22:02:57 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.12/0.40 % SZS status Theorem
% 0.12/0.40 (* PROOF-FOUND *)
% 0.12/0.40 (* BEGIN-PROOF *)
% 0.12/0.40 % SZS output start Proof
% 0.12/0.40 1. (big_p T_0) (-. (big_p T_0)) ### Axiom
% 0.12/0.40 2. (-. (Ex X, (big_p X))) (big_p T_0) ### NotExists 1
% 0.12/0.40 3. (-. ((big_p T_0) => (big_r T_0))) (-. (Ex X, (big_p X))) ### NotImply 2
% 0.12/0.40 4. (-. (All X, ((big_p X) => (big_r X)))) (-. (Ex X, (big_p X))) ### NotAllEx 3
% 0.12/0.40 5. (big_q T_1) (-. (big_q T_1)) ### Axiom
% 0.12/0.40 6. (-. (Ex Y, (big_q Y))) (big_q T_1) ### NotExists 5
% 0.12/0.40 7. (-. ((big_q T_1) => (big_s T_1))) (-. (Ex Y, (big_q Y))) ### NotImply 6
% 0.12/0.40 8. (-. (All Y, ((big_q Y) => (big_s Y)))) (-. (Ex Y, (big_q Y))) ### NotAllEx 7
% 0.12/0.40 9. (-. ((All X, ((big_p X) => (big_r X))) <=> (All Y, ((big_q Y) => (big_s Y))))) (-. (Ex Y, (big_q Y))) (-. (Ex X, (big_p X))) ### NotEquiv 4 8
% 0.12/0.40 10. (big_q T_2) (-. (big_q T_2)) ### Axiom
% 0.12/0.40 11. (big_p T_0) (-. (big_p T_0)) ### Axiom
% 0.12/0.40 12. (big_q T_2) (-. (big_q T_2)) ### Axiom
% 0.12/0.40 13. (big_s T_2) (-. (big_s T_2)) ### Axiom
% 0.12/0.40 14. (-. (big_r T_0)) (big_r T_0) ### Axiom
% 0.12/0.40 15. ((big_r T_0) <=> (big_s T_2)) (-. (big_r T_0)) (big_s T_2) ### Equiv 13 14
% 0.12/0.40 16. (((big_p T_0) /\ (big_q T_2)) => ((big_r T_0) <=> (big_s T_2))) (big_s T_2) (-. (big_r T_0)) (big_q T_2) (big_p T_0) ### DisjTree 11 12 15
% 0.12/0.40 17. (All Y, (((big_p T_0) /\ (big_q Y)) => ((big_r T_0) <=> (big_s Y)))) (big_p T_0) (big_q T_2) (-. (big_r T_0)) (big_s T_2) ### All 16
% 0.12/0.40 18. ((big_q T_2) => (big_s T_2)) (-. (big_r T_0)) (big_p T_0) (All Y, (((big_p T_0) /\ (big_q Y)) => ((big_r T_0) <=> (big_s Y)))) (big_q T_2) ### Imply 10 17
% 0.12/0.40 19. (All Y, ((big_q Y) => (big_s Y))) (big_q T_2) (All Y, (((big_p T_0) /\ (big_q Y)) => ((big_r T_0) <=> (big_s Y)))) (big_p T_0) (-. (big_r T_0)) ### All 18
% 0.12/0.40 20. (All X, (All Y, (((big_p X) /\ (big_q Y)) => ((big_r X) <=> (big_s Y))))) (-. (big_r T_0)) (big_p T_0) (big_q T_2) (All Y, ((big_q Y) => (big_s Y))) ### All 19
% 0.12/0.40 21. (-. ((big_p T_0) => (big_r T_0))) (All Y, ((big_q Y) => (big_s Y))) (big_q T_2) (All X, (All Y, (((big_p X) /\ (big_q Y)) => ((big_r X) <=> (big_s Y))))) ### NotImply 20
% 0.12/0.40 22. (-. (All X, ((big_p X) => (big_r X)))) (All X, (All Y, (((big_p X) /\ (big_q Y)) => ((big_r X) <=> (big_s Y))))) (big_q T_2) (All Y, ((big_q Y) => (big_s Y))) ### NotAllEx 21
% 0.12/0.40 23. (big_p T_3) (-. (big_p T_3)) ### Axiom
% 0.12/0.40 24. (big_q T_2) (-. (big_q T_2)) ### Axiom
% 0.12/0.40 25. (big_p T_3) (-. (big_p T_3)) ### Axiom
% 0.12/0.40 26. (-. (big_r T_3)) (big_r T_3) ### Axiom
% 0.12/0.40 27. ((big_p T_3) => (big_r T_3)) (-. (big_r T_3)) (big_p T_3) ### Imply 25 26
% 0.12/0.40 28. (All X, ((big_p X) => (big_r X))) (big_p T_3) (-. (big_r T_3)) ### All 27
% 0.12/0.40 29. (big_p T_3) (-. (big_p T_3)) ### Axiom
% 0.12/0.40 30. (big_q T_1) (-. (big_q T_1)) ### Axiom
% 0.12/0.40 31. (big_r T_3) (-. (big_r T_3)) ### Axiom
% 0.12/0.40 32. (-. (big_s T_1)) (big_s T_1) ### Axiom
% 0.12/0.40 33. ((big_r T_3) <=> (big_s T_1)) (-. (big_s T_1)) (big_r T_3) ### Equiv 31 32
% 0.12/0.40 34. (((big_p T_3) /\ (big_q T_1)) => ((big_r T_3) <=> (big_s T_1))) (big_r T_3) (-. (big_s T_1)) (big_q T_1) (big_p T_3) ### DisjTree 29 30 33
% 0.12/0.40 35. (All Y, (((big_p T_3) /\ (big_q Y)) => ((big_r T_3) <=> (big_s Y)))) (big_p T_3) (big_q T_1) (-. (big_s T_1)) (big_r T_3) ### All 34
% 0.12/0.40 36. ((big_r T_3) <=> (big_s T_2)) (-. (big_s T_1)) (big_q T_1) (All Y, (((big_p T_3) /\ (big_q Y)) => ((big_r T_3) <=> (big_s Y)))) (big_p T_3) (All X, ((big_p X) => (big_r X))) ### Equiv 28 35
% 0.12/0.40 37. (((big_p T_3) /\ (big_q T_2)) => ((big_r T_3) <=> (big_s T_2))) (All X, ((big_p X) => (big_r X))) (All Y, (((big_p T_3) /\ (big_q Y)) => ((big_r T_3) <=> (big_s Y)))) (big_q T_1) (-. (big_s T_1)) (big_q T_2) (big_p T_3) ### DisjTree 23 24 36
% 0.12/0.40 38. (big_p T_3) (big_q T_2) (-. (big_s T_1)) (big_q T_1) (All Y, (((big_p T_3) /\ (big_q Y)) => ((big_r T_3) <=> (big_s Y)))) (All X, ((big_p X) => (big_r X))) ### All 37
% 0.12/0.40 39. (All X, (All Y, (((big_p X) /\ (big_q Y)) => ((big_r X) <=> (big_s Y))))) (All X, ((big_p X) => (big_r X))) (big_q T_1) (-. (big_s T_1)) (big_q T_2) (big_p T_3) ### All 38
% 0.12/0.40 40. (-. ((big_q T_1) => (big_s T_1))) (big_p T_3) (big_q T_2) (All X, ((big_p X) => (big_r X))) (All X, (All Y, (((big_p X) /\ (big_q Y)) => ((big_r X) <=> (big_s Y))))) ### NotImply 39
% 0.12/0.40 41. (-. (All Y, ((big_q Y) => (big_s Y)))) (All X, (All Y, (((big_p X) /\ (big_q Y)) => ((big_r X) <=> (big_s Y))))) (All X, ((big_p X) => (big_r X))) (big_q T_2) (big_p T_3) ### NotAllEx 40
% 0.12/0.40 42. (-. ((All X, ((big_p X) => (big_r X))) <=> (All Y, ((big_q Y) => (big_s Y))))) (big_p T_3) (big_q T_2) (All X, (All Y, (((big_p X) /\ (big_q Y)) => ((big_r X) <=> (big_s Y))))) ### NotEquiv 22 41
% 0.12/0.40 43. (Ex Y, (big_q Y)) (All X, (All Y, (((big_p X) /\ (big_q Y)) => ((big_r X) <=> (big_s Y))))) (big_p T_3) (-. ((All X, ((big_p X) => (big_r X))) <=> (All Y, ((big_q Y) => (big_s Y))))) ### Exists 42
% 0.12/0.40 44. (Ex X, (big_p X)) (-. ((All X, ((big_p X) => (big_r X))) <=> (All Y, ((big_q Y) => (big_s Y))))) (All X, (All Y, (((big_p X) /\ (big_q Y)) => ((big_r X) <=> (big_s Y))))) (Ex Y, (big_q Y)) ### Exists 43
% 0.12/0.40 45. ((Ex X, (big_p X)) <=> (Ex Y, (big_q Y))) (All X, (All Y, (((big_p X) /\ (big_q Y)) => ((big_r X) <=> (big_s Y))))) (-. ((All X, ((big_p X) => (big_r X))) <=> (All Y, ((big_q Y) => (big_s Y))))) ### Equiv 9 44
% 0.12/0.40 % SZS output end Proof
% 0.12/0.40 (* END-PROOF *)
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