TSTP Solution File: SYN070+1 by SuperZenon---0.0.1
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- Process Solution
%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : SYN070+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 : n029.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 12:40:52 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
% 0.06/0.11 % Problem : SYN070+1 : TPTP v8.1.0. Released v2.0.0.
% 0.06/0.12 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.33 % Computer : n029.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 20:53:02 EDT 2022
% 0.12/0.33 % 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. (big_f T_0) (-. (big_f T_0)) ### Axiom
% 0.18/0.39 2. (-. (big_g T_0)) (big_g T_0) ### Axiom
% 0.18/0.39 3. (-. (-. (big_g T_0))) (-. (big_g T_0)) ### NotNot 2
% 0.18/0.39 4. (-. ((big_f T_0) /\ (-. (big_g T_0)))) (-. (big_g T_0)) (big_f T_0) ### NotAnd 1 3
% 0.18/0.39 5. (-. (Ex X, ((big_f X) /\ (-. (big_g X))))) (big_f T_0) (-. (big_g T_0)) ### NotExists 4
% 0.18/0.39 6. (big_f T_1) (-. (big_f T_1)) ### Axiom
% 0.18/0.39 7. (big_f zenon_X2) (-. (big_f zenon_X2)) ### Axiom
% 0.18/0.39 8. (-. (big_g zenon_X2)) (big_g zenon_X2) ### Axiom
% 0.18/0.39 9. (big_f zenon_X2) (-. (big_f zenon_X2)) ### Axiom
% 0.18/0.39 10. (big_f T_1) (-. (big_f T_1)) ### Axiom
% 0.18/0.39 11. (big_h zenon_X2 T_1) (-. (big_h zenon_X2 T_1)) ### Axiom
% 0.18/0.39 12. (big_j T_1 zenon_X2) (big_h zenon_X2 T_1) (big_f T_1) (big_f zenon_X2) ### Extension/test/pel46_3ctrp 9 10 11
% 0.18/0.39 13. (((big_f zenon_X2) /\ (-. (big_g zenon_X2))) => (big_j T_1 zenon_X2)) (big_f T_1) (big_h zenon_X2 T_1) (-. (big_g zenon_X2)) (big_f zenon_X2) ### DisjTree 7 8 12
% 0.18/0.39 14. (All Y, (((big_f Y) /\ (-. (big_g Y))) => (big_j T_1 Y))) (big_f zenon_X2) (-. (big_g zenon_X2)) (big_h zenon_X2 T_1) (big_f T_1) ### All 13
% 0.18/0.39 15. (-. (((big_f zenon_X2) /\ (big_h zenon_X2 T_1)) => (big_g zenon_X2))) (big_f T_1) (All Y, (((big_f Y) /\ (-. (big_g Y))) => (big_j T_1 Y))) ### ConjTree 14
% 0.18/0.39 16. (-. (big_g T_1)) (big_g T_1) ### Axiom
% 0.18/0.39 17. (((big_f T_1) /\ (((big_f zenon_X2) /\ (big_h zenon_X2 T_1)) => (big_g zenon_X2))) => (big_g T_1)) (-. (big_g T_1)) (All Y, (((big_f Y) /\ (-. (big_g Y))) => (big_j T_1 Y))) (big_f T_1) ### DisjTree 6 15 16
% 0.18/0.39 18. (All Y, (((big_f T_1) /\ (((big_f Y) /\ (big_h Y T_1)) => (big_g Y))) => (big_g T_1))) (big_f T_1) (All Y, (((big_f Y) /\ (-. (big_g Y))) => (big_j T_1 Y))) (-. (big_g T_1)) ### All 17
% 0.18/0.39 19. (All X, (All Y, (((big_f X) /\ (((big_f Y) /\ (big_h Y X)) => (big_g Y))) => (big_g X)))) (-. (big_g T_1)) (All Y, (((big_f Y) /\ (-. (big_g Y))) => (big_j T_1 Y))) (big_f T_1) ### All 18
% 0.18/0.39 20. ((big_f T_1) /\ ((-. (big_g T_1)) /\ (All Y, (((big_f Y) /\ (-. (big_g Y))) => (big_j T_1 Y))))) (All X, (All Y, (((big_f X) /\ (((big_f Y) /\ (big_h Y X)) => (big_g Y))) => (big_g X)))) ### ConjTree 19
% 0.18/0.39 21. (Ex X1, ((big_f X1) /\ ((-. (big_g X1)) /\ (All Y, (((big_f Y) /\ (-. (big_g Y))) => (big_j X1 Y)))))) (All X, (All Y, (((big_f X) /\ (((big_f Y) /\ (big_h Y X)) => (big_g Y))) => (big_g X)))) ### Exists 20
% 0.18/0.39 22. ((Ex X, ((big_f X) /\ (-. (big_g X)))) => (Ex X1, ((big_f X1) /\ ((-. (big_g X1)) /\ (All Y, (((big_f Y) /\ (-. (big_g Y))) => (big_j X1 Y))))))) (All X, (All Y, (((big_f X) /\ (((big_f Y) /\ (big_h Y X)) => (big_g Y))) => (big_g X)))) (-. (big_g T_0)) (big_f T_0) ### Imply 5 21
% 0.18/0.39 23. (-. ((big_f T_0) => (big_g T_0))) (All X, (All Y, (((big_f X) /\ (((big_f Y) /\ (big_h Y X)) => (big_g Y))) => (big_g X)))) ((Ex X, ((big_f X) /\ (-. (big_g X)))) => (Ex X1, ((big_f X1) /\ ((-. (big_g X1)) /\ (All Y, (((big_f Y) /\ (-. (big_g Y))) => (big_j X1 Y))))))) ### NotImply 22
% 0.18/0.39 24. (-. (All X, ((big_f X) => (big_g X)))) ((Ex X, ((big_f X) /\ (-. (big_g X)))) => (Ex X1, ((big_f X1) /\ ((-. (big_g X1)) /\ (All Y, (((big_f Y) /\ (-. (big_g Y))) => (big_j X1 Y))))))) (All X, (All Y, (((big_f X) /\ (((big_f Y) /\ (big_h Y X)) => (big_g Y))) => (big_g X)))) ### NotAllEx 23
% 0.18/0.39 % SZS output end Proof
% 0.18/0.39 (* END-PROOF *)
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