TSTP Solution File: SYN343+1 by SuperZenon---0.0.1
View Problem
- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SYN343+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 : n013.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 12:42:47 EDT 2022
% Result : Theorem 0.18s 0.40s
% Output : Proof 0.18s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.09/0.11 % Problem : SYN343+1 : TPTP v8.1.0. Released v2.0.0.
% 0.09/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n013.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 20:37:29 EDT 2022
% 0.12/0.33 % CPUTime :
% 0.18/0.40 % SZS status Theorem
% 0.18/0.40 (* PROOF-FOUND *)
% 0.18/0.40 (* BEGIN-PROOF *)
% 0.18/0.40 % SZS output start Proof
% 0.18/0.40 1. (big_f zenon_X0 zenon_X0) (-. (big_f zenon_X0 zenon_X0)) ### Axiom
% 0.18/0.40 2. (big_f zenon_X0 zenon_X1) (-. (big_f zenon_X0 zenon_X1)) ### Axiom
% 0.18/0.40 3. (-. ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 zenon_X1))) (big_f zenon_X0 zenon_X1) (big_f zenon_X0 zenon_X0) ### NotAnd 1 2
% 0.18/0.40 4. (-. ((((big_f zenon_X0 zenon_X0) => (big_f T_2 zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 zenon_X1)))) (big_f zenon_X0 zenon_X0) (big_f zenon_X0 zenon_X1) ### NotImply 3
% 0.18/0.40 5. (-. (All Z, ((((big_f zenon_X0 zenon_X0) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 zenon_X1))))) (big_f zenon_X0 zenon_X1) (big_f zenon_X0 zenon_X0) ### NotAllEx 4
% 0.18/0.40 6. (-. (Ex Y2, (All Z, ((((big_f zenon_X0 zenon_X0) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 Y2)))))) (big_f zenon_X0 zenon_X0) (big_f zenon_X0 zenon_X1) ### NotExists 5
% 0.18/0.40 7. (-. ((big_f zenon_X0 zenon_X0) => (big_f T_3 zenon_X0))) (big_f zenon_X0 zenon_X1) (-. (Ex Y2, (All Z, ((((big_f zenon_X0 zenon_X0) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 Y2)))))) ### NotImply 6
% 0.18/0.40 8. (((big_f zenon_X0 zenon_X0) => (big_f T_3 zenon_X0)) => (big_f zenon_X0 zenon_X0)) (-. (Ex Y2, (All Z, ((((big_f zenon_X0 zenon_X0) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 Y2)))))) (big_f zenon_X0 zenon_X1) ### Imply 7 6
% 0.18/0.40 9. (-. ((((big_f zenon_X0 zenon_X0) => (big_f T_3 zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 zenon_X4)))) (big_f zenon_X0 zenon_X1) (-. (Ex Y2, (All Z, ((((big_f zenon_X0 zenon_X0) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 Y2)))))) ### NotImply 8
% 0.18/0.40 10. (-. (All Z, ((((big_f zenon_X0 zenon_X0) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 zenon_X4))))) (-. (Ex Y2, (All Z, ((((big_f zenon_X0 zenon_X0) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 Y2)))))) (big_f zenon_X0 zenon_X1) ### NotAllEx 9
% 0.18/0.40 11. (big_f zenon_X0 zenon_X1) (-. (Ex Y2, (All Z, ((((big_f zenon_X0 zenon_X0) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 Y2)))))) ### NotExists 10
% 0.18/0.40 12. (-. (Ex Y1, (Ex Y2, (All Z, ((((big_f zenon_X0 Y1) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f Y1 Y2))))))) (big_f zenon_X0 zenon_X1) ### NotExists 11
% 0.18/0.40 13. (-. ((big_f zenon_X0 zenon_X1) => (big_f T_5 zenon_X0))) (-. (Ex Y1, (Ex Y2, (All Z, ((((big_f zenon_X0 Y1) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f Y1 Y2))))))) ### NotImply 12
% 0.18/0.40 14. (big_f zenon_X0 zenon_X0) (-. (big_f zenon_X0 zenon_X0)) ### Axiom
% 0.18/0.40 15. (big_f zenon_X0 zenon_X0) (-. (big_f zenon_X0 zenon_X0)) ### Axiom
% 0.18/0.40 16. (-. ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 zenon_X0))) (big_f zenon_X0 zenon_X0) ### NotAnd 14 15
% 0.18/0.40 17. (-. ((((big_f zenon_X0 zenon_X0) => (big_f T_6 zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 zenon_X0)))) (big_f zenon_X0 zenon_X0) ### NotImply 16
% 0.18/0.40 18. (-. (All Z, ((((big_f zenon_X0 zenon_X0) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 zenon_X0))))) (big_f zenon_X0 zenon_X0) ### NotAllEx 17
% 0.18/0.40 19. (-. (Ex Y2, (All Z, ((((big_f zenon_X0 zenon_X0) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X0 Y2)))))) (big_f zenon_X0 zenon_X0) ### NotExists 18
% 0.18/0.40 20. (-. (Ex Y1, (Ex Y2, (All Z, ((((big_f zenon_X0 Y1) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f Y1 Y2))))))) (big_f zenon_X0 zenon_X0) ### NotExists 19
% 0.18/0.40 21. (((big_f zenon_X0 zenon_X1) => (big_f T_5 zenon_X0)) => (big_f zenon_X0 zenon_X0)) (-. (Ex Y1, (Ex Y2, (All Z, ((((big_f zenon_X0 Y1) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f Y1 Y2))))))) ### Imply 13 20
% 0.18/0.40 22. (-. ((((big_f zenon_X0 zenon_X1) => (big_f T_5 zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X1 zenon_X7)))) (-. (Ex Y1, (Ex Y2, (All Z, ((((big_f zenon_X0 Y1) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f Y1 Y2))))))) ### NotImply 21
% 0.18/0.40 23. (-. (All Z, ((((big_f zenon_X0 zenon_X1) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X1 zenon_X7))))) (-. (Ex Y1, (Ex Y2, (All Z, ((((big_f zenon_X0 Y1) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f Y1 Y2))))))) ### NotAllEx 22
% 0.18/0.40 24. (-. (Ex Y2, (All Z, ((((big_f zenon_X0 zenon_X1) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f zenon_X1 Y2)))))) (-. (Ex Y1, (Ex Y2, (All Z, ((((big_f zenon_X0 Y1) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f Y1 Y2))))))) ### NotExists 23
% 0.18/0.40 25. (-. (Ex Y1, (Ex Y2, (All Z, ((((big_f zenon_X0 Y1) => (big_f Z zenon_X0)) => (big_f zenon_X0 zenon_X0)) => ((big_f zenon_X0 zenon_X0) /\ (big_f Y1 Y2))))))) ### NotExists 24
% 0.18/0.40 26. (-. (Ex X, (Ex Y1, (Ex Y2, (All Z, ((((big_f X Y1) => (big_f Z X)) => (big_f X X)) => ((big_f X X) /\ (big_f Y1 Y2)))))))) ### NotExists 25
% 0.18/0.40 % SZS output end Proof
% 0.18/0.40 (* END-PROOF *)
%------------------------------------------------------------------------------