TSTP Solution File: NUN069+2 by SuperZenon---0.0.1
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- Process Solution
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% File : SuperZenon---0.0.1
% Problem : NUN069+2 : TPTP v8.1.0. Released v7.3.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n021.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 : Mon Jul 18 16:39:09 EDT 2022
% Result : Theorem 0.35s 0.53s
% Output : Proof 0.35s
% Verified :
% SZS Type : -
% Comments :
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%----WARNING: Could not form TPTP format derivation
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%----ORIGINAL SYSTEM OUTPUT
% 0.08/0.13 % Problem : NUN069+2 : TPTP v8.1.0. Released v7.3.0.
% 0.08/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.14/0.35 % Computer : n021.cluster.edu
% 0.14/0.35 % Model : x86_64 x86_64
% 0.14/0.35 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.14/0.35 % Memory : 8042.1875MB
% 0.14/0.35 % OS : Linux 3.10.0-693.el7.x86_64
% 0.14/0.35 % CPULimit : 300
% 0.14/0.35 % WCLimit : 600
% 0.14/0.35 % DateTime : Thu Jun 2 04:48:46 EDT 2022
% 0.14/0.35 % CPUTime :
% 0.35/0.53 % SZS status Theorem
% 0.35/0.53 (* PROOF-FOUND *)
% 0.35/0.53 (* BEGIN-PROOF *)
% 0.35/0.53 % SZS output start Proof
% 0.35/0.53 1. (T_0 != T_0) ### Refl(=)
% 0.35/0.53 2. ((-. (r1 T_0)) /\ (T_0 != T_0)) ### And 1
% 0.35/0.53 3. (T_1 != T_1) ### Refl(=)
% 0.35/0.53 4. ((-. (r2 T_0 T_1)) /\ (T_1 != T_1)) ### And 3
% 0.35/0.53 5. (T_1 != T_1) ### Refl(=)
% 0.35/0.53 6. (r1 T_0) (-. (r1 T_0)) ### Axiom
% 0.35/0.53 7. (r2 T_0 T_1) (-. (r2 T_0 T_1)) ### Axiom
% 0.35/0.53 8. (-. ((r1 T_0) /\ (r2 T_0 T_1))) (r2 T_0 T_1) (r1 T_0) ### NotAnd 6 7
% 0.35/0.53 9. (-. (Ex Y2, ((r1 Y2) /\ (r2 Y2 T_1)))) (r1 T_0) (r2 T_0 T_1) ### NotExists 8
% 0.35/0.53 10. (-. ((T_1 = T_1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 T_1))))) (r2 T_0 T_1) (r1 T_0) ### NotAnd 5 9
% 0.35/0.53 11. (-. (Ex Y1, ((Y1 = Y1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 Y1)))))) (r1 T_0) (r2 T_0 T_1) ### NotExists 10
% 0.35/0.53 12. ((r2 T_0 T_1) /\ (T_1 = T_1)) (r1 T_0) (-. (Ex Y1, ((Y1 = Y1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 Y1)))))) ### And 11
% 0.35/0.53 13. (((-. (r2 T_0 T_1)) /\ (T_1 != T_1)) \/ ((r2 T_0 T_1) /\ (T_1 = T_1))) (-. (Ex Y1, ((Y1 = Y1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 Y1)))))) (r1 T_0) ### Or 4 12
% 0.35/0.53 14. (All X12, (((-. (r2 T_0 X12)) /\ (X12 != T_1)) \/ ((r2 T_0 X12) /\ (X12 = T_1)))) (r1 T_0) (-. (Ex Y1, ((Y1 = Y1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 Y1)))))) ### All 13
% 0.35/0.53 15. (Ex Y21, (All X12, (((-. (r2 T_0 X12)) /\ (X12 != Y21)) \/ ((r2 T_0 X12) /\ (X12 = Y21))))) (-. (Ex Y1, ((Y1 = Y1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 Y1)))))) (r1 T_0) ### Exists 14
% 0.35/0.53 16. (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) (r1 T_0) (-. (Ex Y1, ((Y1 = Y1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 Y1)))))) ### All 15
% 0.35/0.53 17. ((r1 T_0) /\ (T_0 = T_0)) (-. (Ex Y1, ((Y1 = Y1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 Y1)))))) (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) ### And 16
% 0.35/0.53 18. (((-. (r1 T_0)) /\ (T_0 != T_0)) \/ ((r1 T_0) /\ (T_0 = T_0))) (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) (-. (Ex Y1, ((Y1 = Y1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 Y1)))))) ### Or 2 17
% 0.35/0.53 19. (All X19, (((-. (r1 X19)) /\ (X19 != T_0)) \/ ((r1 X19) /\ (X19 = T_0)))) (-. (Ex Y1, ((Y1 = Y1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 Y1)))))) (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) ### All 18
% 0.35/0.53 20. (Ex Y24, (All X19, (((-. (r1 X19)) /\ (X19 != Y24)) \/ ((r1 X19) /\ (X19 = Y24))))) (All X11, (Ex Y21, (All X12, (((-. (r2 X11 X12)) /\ (X12 != Y21)) \/ ((r2 X11 X12) /\ (X12 = Y21)))))) (-. (Ex Y1, ((Y1 = Y1) /\ (Ex Y2, ((r1 Y2) /\ (r2 Y2 Y1)))))) ### Exists 19
% 0.35/0.53 % SZS output end Proof
% 0.35/0.53 (* END-PROOF *)
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