TSTP Solution File: SYN939+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SYN939+1 : TPTP v8.1.0. Released v3.1.0.
% 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 12:47:24 EDT 2022
% Result : Theorem 0.18s 0.39s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.03/0.12 % Problem : SYN939+1 : TPTP v8.1.0. Released v3.1.0.
% 0.03/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.32 % Computer : n004.cluster.edu
% 0.12/0.32 % Model : x86_64 x86_64
% 0.12/0.32 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.32 % Memory : 8042.1875MB
% 0.12/0.32 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.32 % CPULimit : 300
% 0.12/0.32 % WCLimit : 600
% 0.12/0.32 % DateTime : Tue Jul 12 05:56:52 EDT 2022
% 0.12/0.32 % CPUTime :
% 0.18/0.39 % SZS status Theorem
% 0.18/0.39 (* PROOF-FOUND *)
% 0.18/0.39 (* BEGIN-PROOF *)
% 0.18/0.39 % SZS output start Proof
% 0.18/0.39 1. (-. (p (f zenon_X0))) (p (f zenon_X0)) ### Axiom
% 0.18/0.39 2. (-. ((p (f zenon_X0)) => (p (f zenon_X0)))) (-. (p (f zenon_X0))) ### NotImply 1
% 0.18/0.39 3. (-. (p (f T_1))) (p (f T_1)) ### Axiom
% 0.18/0.39 4. (-. ((p (f T_1)) => (p (f T_1)))) ### NotImply 3
% 0.18/0.39 5. (-. (r T_1)) (r T_1) ### Axiom
% 0.18/0.39 6. (-. ((r T_1) => ((r T_1) /\ (r T_2)))) (-. (r T_1)) ### NotImply 5
% 0.18/0.39 7. (q (f T_1)) (-. (q (f T_1))) ### Axiom
% 0.18/0.39 8. (-. (((p (f T_1)) => (p (f T_1))) /\ (((r T_1) => ((r T_1) /\ (r T_2))) /\ (q (f T_1))))) (q (f T_1)) (-. (r T_1)) ### DisjTree 4 6 7
% 0.18/0.39 9. (-. (Ex Y, (((p (f Y)) => (p (f T_1))) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q (f T_1)))))) (-. (r T_1)) (q (f T_1)) ### NotExists 8
% 0.18/0.39 10. (-. (Ex X, (Ex Y, (((p (f Y)) => (p X)) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q X)))))) (q (f T_1)) (-. (r T_1)) ### NotExists 9
% 0.18/0.39 11. (All Z, (q (f Z))) (-. (r T_1)) (-. (Ex X, (Ex Y, (((p (f Y)) => (p X)) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q X)))))) ### All 10
% 0.18/0.39 12. (-. (p (f T_2))) (p (f T_2)) ### Axiom
% 0.18/0.39 13. (-. ((p (f T_2)) => (p (f T_2)))) ### NotImply 12
% 0.18/0.39 14. (-. (r T_2)) (r T_2) ### Axiom
% 0.18/0.39 15. (-. ((r T_2) => ((r T_1) /\ (r T_2)))) (-. (r T_2)) ### NotImply 14
% 0.18/0.39 16. (q (f T_2)) (-. (q (f T_2))) ### Axiom
% 0.18/0.39 17. (-. (((p (f T_2)) => (p (f T_2))) /\ (((r T_2) => ((r T_1) /\ (r T_2))) /\ (q (f T_2))))) (q (f T_2)) (-. (r T_2)) ### DisjTree 13 15 16
% 0.18/0.39 18. (-. (Ex Y, (((p (f Y)) => (p (f T_2))) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q (f T_2)))))) (-. (r T_2)) (q (f T_2)) ### NotExists 17
% 0.18/0.39 19. (-. (Ex X, (Ex Y, (((p (f Y)) => (p X)) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q X)))))) (q (f T_2)) (-. (r T_2)) ### NotExists 18
% 0.18/0.39 20. (All Z, (q (f Z))) (-. (r T_2)) (-. (Ex X, (Ex Y, (((p (f Y)) => (p X)) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q X)))))) ### All 19
% 0.18/0.39 21. (-. ((r T_1) /\ (r T_2))) (-. (Ex X, (Ex Y, (((p (f Y)) => (p X)) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q X)))))) (All Z, (q (f Z))) ### NotAnd 11 20
% 0.18/0.39 22. (-. ((r zenon_X0) => ((r T_1) /\ (r T_2)))) (All Z, (q (f Z))) (-. (Ex X, (Ex Y, (((p (f Y)) => (p X)) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q X)))))) ### NotImply 21
% 0.18/0.39 23. (q (f zenon_X0)) (-. (q (f zenon_X0))) ### Axiom
% 0.18/0.39 24. (-. (((p (f zenon_X0)) => (p (f zenon_X0))) /\ (((r zenon_X0) => ((r T_1) /\ (r T_2))) /\ (q (f zenon_X0))))) (q (f zenon_X0)) (-. (Ex X, (Ex Y, (((p (f Y)) => (p X)) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q X)))))) (All Z, (q (f Z))) (-. (p (f zenon_X0))) ### DisjTree 2 22 23
% 0.18/0.39 25. (-. (Ex Y, (((p (f Y)) => (p (f zenon_X0))) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q (f zenon_X0)))))) (-. (p (f zenon_X0))) (All Z, (q (f Z))) (-. (Ex X, (Ex Y, (((p (f Y)) => (p X)) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q X)))))) (q (f zenon_X0)) ### NotExists 24
% 0.18/0.39 26. (-. ((p (f zenon_X3)) => (p (f zenon_X0)))) (q (f zenon_X0)) (-. (Ex X, (Ex Y, (((p (f Y)) => (p X)) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q X)))))) (All Z, (q (f Z))) (-. (Ex Y, (((p (f Y)) => (p (f zenon_X0))) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q (f zenon_X0)))))) ### NotImply 25
% 0.18/0.39 27. (-. ((r zenon_X3) => ((r T_1) /\ (r T_2)))) (All Z, (q (f Z))) (-. (Ex X, (Ex Y, (((p (f Y)) => (p X)) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q X)))))) ### NotImply 21
% 0.18/0.39 28. (q (f zenon_X0)) (-. (q (f zenon_X0))) ### Axiom
% 0.18/0.39 29. (-. (((p (f zenon_X3)) => (p (f zenon_X0))) /\ (((r zenon_X3) => ((r T_1) /\ (r T_2))) /\ (q (f zenon_X0))))) (-. (Ex Y, (((p (f Y)) => (p (f zenon_X0))) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q (f zenon_X0)))))) (All Z, (q (f Z))) (-. (Ex X, (Ex Y, (((p (f Y)) => (p X)) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q X)))))) (q (f zenon_X0)) ### DisjTree 26 27 28
% 0.18/0.39 30. (q (f zenon_X0)) (-. (Ex X, (Ex Y, (((p (f Y)) => (p X)) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q X)))))) (All Z, (q (f Z))) (-. (Ex Y, (((p (f Y)) => (p (f zenon_X0))) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q (f zenon_X0)))))) ### NotExists 29
% 0.18/0.39 31. (All Z, (q (f Z))) (-. (Ex X, (Ex Y, (((p (f Y)) => (p X)) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q X)))))) (q (f zenon_X0)) ### NotExists 30
% 0.18/0.39 32. (-. (Ex X, (Ex Y, (((p (f Y)) => (p X)) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q X)))))) (All Z, (q (f Z))) ### All 31
% 0.18/0.39 33. (-. ((All Z, (q (f Z))) => (Ex X, (Ex Y, (((p (f Y)) => (p X)) /\ (((r Y) => ((r T_1) /\ (r T_2))) /\ (q X))))))) ### NotImply 32
% 0.18/0.39 34. (-. (All B, ((All Z, (q (f Z))) => (Ex X, (Ex Y, (((p (f Y)) => (p X)) /\ (((r Y) => ((r B) /\ (r T_2))) /\ (q X)))))))) ### NotAllEx 33
% 0.18/0.39 35. (-. (All C, (All B, ((All Z, (q (f Z))) => (Ex X, (Ex Y, (((p (f Y)) => (p X)) /\ (((r Y) => ((r B) /\ (r C))) /\ (q X))))))))) ### NotAllEx 34
% 0.18/0.39 % SZS output end Proof
% 0.18/0.39 (* END-PROOF *)
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