TSTP Solution File: SYN326+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SYN326+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 12:42:35 EDT 2022
% Result : Theorem 0.18s 0.41s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : SYN326+1 : TPTP v8.1.0. Released v2.0.0.
% 0.07/0.12 % 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 : Tue Jul 12 08:53:38 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.41 % SZS status Theorem
% 0.18/0.41 (* PROOF-FOUND *)
% 0.18/0.41 (* BEGIN-PROOF *)
% 0.18/0.41 % SZS output start Proof
% 0.18/0.41 1. (big_g T_0) (-. (big_g T_0)) ### Axiom
% 0.18/0.41 2. (-. ((big_f T_1 T_0) => (big_g T_0))) (big_g T_0) ### NotImply 1
% 0.18/0.41 3. (big_h T_1) (-. (big_h T_1)) ### Axiom
% 0.18/0.41 4. (-. ((big_f T_2 T_3) => ((big_g T_2) => (big_h T_1)))) (big_h T_1) ### ConjTree 3
% 0.18/0.41 5. (-. (big_f T_1 T_1)) (big_f T_1 T_1) ### Axiom
% 0.18/0.41 6. (((big_f T_2 T_3) => ((big_g T_2) => (big_h T_1))) => (big_f T_1 T_1)) (-. (big_f T_1 T_1)) (big_h T_1) ### Imply 4 5
% 0.18/0.41 7. (-. ((((big_f T_2 T_3) => ((big_g T_2) => (big_h T_1))) => (big_f T_1 T_1)) => ((((big_f T_3 T_1) => (big_g T_1)) => (big_h T_3)) => ((big_f T_1 T_2) => (big_f T_3 T_3))))) (big_h T_1) (-. (big_f T_1 T_1)) ### ConjTree 6
% 0.18/0.41 8. (-. (All Z, ((((big_f T_2 Z) => ((big_g T_2) => (big_h T_1))) => (big_f T_1 T_1)) => ((((big_f Z T_1) => (big_g T_1)) => (big_h Z)) => ((big_f T_1 T_2) => (big_f Z Z)))))) (-. (big_f T_1 T_1)) (big_h T_1) ### NotAllEx 7
% 0.18/0.41 9. (-. (All Y, (All Z, ((((big_f Y Z) => ((big_g Y) => (big_h T_1))) => (big_f T_1 T_1)) => ((((big_f Z T_1) => (big_g T_1)) => (big_h Z)) => ((big_f T_1 Y) => (big_f Z Z))))))) (big_h T_1) (-. (big_f T_1 T_1)) ### NotAllEx 8
% 0.18/0.41 10. (-. (Ex X, (All Y, (All Z, ((((big_f Y Z) => ((big_g Y) => (big_h X))) => (big_f X X)) => ((((big_f Z X) => (big_g X)) => (big_h Z)) => ((big_f X Y) => (big_f Z Z)))))))) (-. (big_f T_1 T_1)) (big_h T_1) ### NotExists 9
% 0.18/0.41 11. (((big_f T_1 T_0) => (big_g T_0)) => (big_h T_1)) (-. (big_f T_1 T_1)) (-. (Ex X, (All Y, (All Z, ((((big_f Y Z) => ((big_g Y) => (big_h X))) => (big_f X X)) => ((((big_f Z X) => (big_g X)) => (big_h Z)) => ((big_f X Y) => (big_f Z Z)))))))) (big_g T_0) ### Imply 2 10
% 0.18/0.41 12. (-. ((((big_f T_4 T_1) => ((big_g T_4) => (big_h T_0))) => (big_f T_0 T_0)) => ((((big_f T_1 T_0) => (big_g T_0)) => (big_h T_1)) => ((big_f T_0 T_4) => (big_f T_1 T_1))))) (big_g T_0) (-. (Ex X, (All Y, (All Z, ((((big_f Y Z) => ((big_g Y) => (big_h X))) => (big_f X X)) => ((((big_f Z X) => (big_g X)) => (big_h Z)) => ((big_f X Y) => (big_f Z Z)))))))) ### ConjTree 11
% 0.18/0.41 13. (-. (All Z, ((((big_f T_4 Z) => ((big_g T_4) => (big_h T_0))) => (big_f T_0 T_0)) => ((((big_f Z T_0) => (big_g T_0)) => (big_h Z)) => ((big_f T_0 T_4) => (big_f Z Z)))))) (-. (Ex X, (All Y, (All Z, ((((big_f Y Z) => ((big_g Y) => (big_h X))) => (big_f X X)) => ((((big_f Z X) => (big_g X)) => (big_h Z)) => ((big_f X Y) => (big_f Z Z)))))))) (big_g T_0) ### NotAllEx 12
% 0.18/0.41 14. (-. (All Y, (All Z, ((((big_f Y Z) => ((big_g Y) => (big_h T_0))) => (big_f T_0 T_0)) => ((((big_f Z T_0) => (big_g T_0)) => (big_h Z)) => ((big_f T_0 Y) => (big_f Z Z))))))) (big_g T_0) (-. (Ex X, (All Y, (All Z, ((((big_f Y Z) => ((big_g Y) => (big_h X))) => (big_f X X)) => ((((big_f Z X) => (big_g X)) => (big_h Z)) => ((big_f X Y) => (big_f Z Z)))))))) ### NotAllEx 13
% 0.18/0.41 15. (-. (Ex X, (All Y, (All Z, ((((big_f Y Z) => ((big_g Y) => (big_h X))) => (big_f X X)) => ((((big_f Z X) => (big_g X)) => (big_h Z)) => ((big_f X Y) => (big_f Z Z)))))))) (big_g T_0) ### NotExists 14
% 0.18/0.41 16. (-. ((big_f T_0 T_5) => ((big_g T_0) => (big_h T_6)))) (-. (Ex X, (All Y, (All Z, ((((big_f Y Z) => ((big_g Y) => (big_h X))) => (big_f X X)) => ((((big_f Z X) => (big_g X)) => (big_h Z)) => ((big_f X Y) => (big_f Z Z)))))))) ### ConjTree 15
% 0.18/0.41 17. (-. (big_f T_6 T_6)) (big_f T_6 T_6) ### Axiom
% 0.18/0.41 18. (((big_f T_0 T_5) => ((big_g T_0) => (big_h T_6))) => (big_f T_6 T_6)) (-. (big_f T_6 T_6)) (-. (Ex X, (All Y, (All Z, ((((big_f Y Z) => ((big_g Y) => (big_h X))) => (big_f X X)) => ((((big_f Z X) => (big_g X)) => (big_h Z)) => ((big_f X Y) => (big_f Z Z)))))))) ### Imply 16 17
% 0.18/0.41 19. (-. ((((big_f T_0 T_5) => ((big_g T_0) => (big_h T_6))) => (big_f T_6 T_6)) => ((((big_f T_5 T_6) => (big_g T_6)) => (big_h T_5)) => ((big_f T_6 T_0) => (big_f T_5 T_5))))) (-. (Ex X, (All Y, (All Z, ((((big_f Y Z) => ((big_g Y) => (big_h X))) => (big_f X X)) => ((((big_f Z X) => (big_g X)) => (big_h Z)) => ((big_f X Y) => (big_f Z Z)))))))) (-. (big_f T_6 T_6)) ### ConjTree 18
% 0.18/0.41 20. (-. (All Z, ((((big_f T_0 Z) => ((big_g T_0) => (big_h T_6))) => (big_f T_6 T_6)) => ((((big_f Z T_6) => (big_g T_6)) => (big_h Z)) => ((big_f T_6 T_0) => (big_f Z Z)))))) (-. (big_f T_6 T_6)) (-. (Ex X, (All Y, (All Z, ((((big_f Y Z) => ((big_g Y) => (big_h X))) => (big_f X X)) => ((((big_f Z X) => (big_g X)) => (big_h Z)) => ((big_f X Y) => (big_f Z Z)))))))) ### NotAllEx 19
% 0.18/0.41 21. (-. (All Y, (All Z, ((((big_f Y Z) => ((big_g Y) => (big_h T_6))) => (big_f T_6 T_6)) => ((((big_f Z T_6) => (big_g T_6)) => (big_h Z)) => ((big_f T_6 Y) => (big_f Z Z))))))) (-. (Ex X, (All Y, (All Z, ((((big_f Y Z) => ((big_g Y) => (big_h X))) => (big_f X X)) => ((((big_f Z X) => (big_g X)) => (big_h Z)) => ((big_f X Y) => (big_f Z Z)))))))) (-. (big_f T_6 T_6)) ### NotAllEx 20
% 0.18/0.41 22. (-. (big_f T_6 T_6)) (-. (Ex X, (All Y, (All Z, ((((big_f Y Z) => ((big_g Y) => (big_h X))) => (big_f X X)) => ((((big_f Z X) => (big_g X)) => (big_h Z)) => ((big_f X Y) => (big_f Z Z)))))))) ### NotExists 21
% 0.18/0.41 23. (-. ((((big_f T_7 T_6) => ((big_g T_7) => (big_h zenon_X8))) => (big_f zenon_X8 zenon_X8)) => ((((big_f T_6 zenon_X8) => (big_g zenon_X8)) => (big_h T_6)) => ((big_f zenon_X8 T_7) => (big_f T_6 T_6))))) (-. (Ex X, (All Y, (All Z, ((((big_f Y Z) => ((big_g Y) => (big_h X))) => (big_f X X)) => ((((big_f Z X) => (big_g X)) => (big_h Z)) => ((big_f X Y) => (big_f Z Z)))))))) ### ConjTree 22
% 0.18/0.41 24. (-. (All Z, ((((big_f T_7 Z) => ((big_g T_7) => (big_h zenon_X8))) => (big_f zenon_X8 zenon_X8)) => ((((big_f Z zenon_X8) => (big_g zenon_X8)) => (big_h Z)) => ((big_f zenon_X8 T_7) => (big_f Z Z)))))) (-. (Ex X, (All Y, (All Z, ((((big_f Y Z) => ((big_g Y) => (big_h X))) => (big_f X X)) => ((((big_f Z X) => (big_g X)) => (big_h Z)) => ((big_f X Y) => (big_f Z Z)))))))) ### NotAllEx 23
% 0.18/0.41 25. (-. (All Y, (All Z, ((((big_f Y Z) => ((big_g Y) => (big_h zenon_X8))) => (big_f zenon_X8 zenon_X8)) => ((((big_f Z zenon_X8) => (big_g zenon_X8)) => (big_h Z)) => ((big_f zenon_X8 Y) => (big_f Z Z))))))) (-. (Ex X, (All Y, (All Z, ((((big_f Y Z) => ((big_g Y) => (big_h X))) => (big_f X X)) => ((((big_f Z X) => (big_g X)) => (big_h Z)) => ((big_f X Y) => (big_f Z Z)))))))) ### NotAllEx 24
% 0.18/0.41 26. (-. (Ex X, (All Y, (All Z, ((((big_f Y Z) => ((big_g Y) => (big_h X))) => (big_f X X)) => ((((big_f Z X) => (big_g X)) => (big_h Z)) => ((big_f X Y) => (big_f Z Z)))))))) ### NotExists 25
% 0.18/0.41 % SZS output end Proof
% 0.18/0.41 (* END-PROOF *)
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