TSTP Solution File: PHI009+1 by SuperZenon---0.0.1
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%------------------------------------------------------------------------------
% File : SuperZenon---0.0.1
% Problem : PHI009+1 : TPTP v8.1.0. Released v7.2.0.
% Transfm : none
% Format : tptp:raw
% Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% Computer : n026.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 16:49:04 EDT 2022
% Result : Theorem 0.19s 0.42s
% Output : Proof 0.19s
% Verified :
% SZS Type : -
% Comments :
%------------------------------------------------------------------------------
%----WARNING: Could not form TPTP format derivation
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.07/0.12 % Problem : PHI009+1 : TPTP v8.1.0. Released v7.2.0.
% 0.07/0.13 % Command : run_super_zenon -p0 -itptp -om -max-time %d %s
% 0.12/0.34 % Computer : n026.cluster.edu
% 0.12/0.34 % Model : x86_64 x86_64
% 0.12/0.34 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.12/0.34 % Memory : 8042.1875MB
% 0.12/0.34 % OS : Linux 3.10.0-693.el7.x86_64
% 0.12/0.34 % CPULimit : 300
% 0.12/0.34 % WCLimit : 600
% 0.12/0.34 % DateTime : Thu Jun 2 01:37:27 EDT 2022
% 0.12/0.34 % CPUTime :
% 0.19/0.42 % SZS status Theorem
% 0.19/0.42 (* PROOF-FOUND *)
% 0.19/0.42 (* BEGIN-PROOF *)
% 0.19/0.42 % SZS output start Proof
% 0.19/0.42 1. (object T_0) (-. (object T_0)) ### Axiom
% 0.19/0.42 2. (property T_1) (-. (property T_1)) ### Axiom
% 0.19/0.42 3. (property T_1) (-. (property T_1)) ### Axiom
% 0.19/0.42 4. (object T_0) (-. (object T_0)) ### Axiom
% 0.19/0.42 5. (object T_0) (-. (object T_0)) ### Axiom
% 0.19/0.42 6. (exemplifies_property T_1 T_0) (-. (exemplifies_property T_1 T_0)) ### Axiom
% 0.19/0.42 7. (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) (-. (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0))))) ### Axiom
% 0.19/0.42 8. (exemplifies_property T_1 T_0) (-. (exemplifies_property T_1 T_0)) ### Axiom
% 0.19/0.42 9. (-. ((object T_0) /\ ((exemplifies_property T_1 T_0) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) /\ (exemplifies_property T_1 T_0))))) (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) (exemplifies_property T_1 T_0) (object T_0) ### DisjTree 5 6 7 8
% 0.19/0.42 10. (-. (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property T_1 Y)))))) (object T_0) (exemplifies_property T_1 T_0) (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) ### NotExists 9
% 0.19/0.42 11. (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property T_1 Y))))) (-. (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property T_1 Y)))))) ### Axiom
% 0.19/0.42 12. (-. (is_the T_0 T_1)) (is_the T_0 T_1) ### Axiom
% 0.19/0.42 13. ((is_the T_0 T_1) /\ (exemplifies_property T_1 T_0)) (-. (is_the T_0 T_1)) ### And 12
% 0.19/0.42 14. (((is_the T_0 T_1) /\ (exemplifies_property T_1 T_0)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property T_1 Y)))))) (-. (is_the T_0 T_1)) (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property T_1 Y))))) ### Equiv 11 13
% 0.19/0.42 15. (-. (is_the T_0 T_1)) (((is_the T_0 T_1) /\ (exemplifies_property T_1 T_0)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property T_1 Y)))))) (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) (exemplifies_property T_1 T_0) (object T_0) ### Equiv 10 14
% 0.19/0.42 16. (((property T_1) /\ ((property T_1) /\ (object T_0))) => (((is_the T_0 T_1) /\ (exemplifies_property T_1 T_0)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property T_1 Y))))))) (exemplifies_property T_1 T_0) (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) (-. (is_the T_0 T_1)) (object T_0) (property T_1) ### DisjTree 2 3 4 15
% 0.19/0.42 17. (All X, (((property T_1) /\ ((property T_1) /\ (object X))) => (((is_the X T_1) /\ (exemplifies_property T_1 X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property T_1 Y)))))))) (property T_1) (object T_0) (-. (is_the T_0 T_1)) (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) (exemplifies_property T_1 T_0) ### All 16
% 0.19/0.42 18. (All G, (All X, (((property T_1) /\ ((property G) /\ (object X))) => (((is_the X T_1) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property G Y))))))))) (exemplifies_property T_1 T_0) (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) (-. (is_the T_0 T_1)) (object T_0) (property T_1) ### All 17
% 0.19/0.42 19. (-. ((object T_0) /\ (is_the T_0 T_1))) (property T_1) (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) (exemplifies_property T_1 T_0) (All G, (All X, (((property T_1) /\ ((property G) /\ (object X))) => (((is_the X T_1) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property G Y))))))))) (object T_0) ### NotAnd 1 18
% 0.19/0.42 20. (-. (Ex U, ((object U) /\ (is_the U T_1)))) (object T_0) (All G, (All X, (((property T_1) /\ ((property G) /\ (object X))) => (((is_the X T_1) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ ((All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y)))) /\ (exemplifies_property G Y))))))))) (exemplifies_property T_1 T_0) (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) (property T_1) ### NotExists 19
% 0.19/0.42 21. (All F, (All G, (All X, (((property F) /\ ((property G) /\ (object X))) => (((is_the X F) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ ((All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y)))) /\ (exemplifies_property G Y)))))))))) (property T_1) (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))) (exemplifies_property T_1 T_0) (object T_0) (-. (Ex U, ((object U) /\ (is_the U T_1)))) ### All 20
% 0.19/0.42 22. ((object T_0) /\ ((exemplifies_property T_1 T_0) /\ (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = T_0)))))) (-. (Ex U, ((object U) /\ (is_the U T_1)))) (property T_1) (All F, (All G, (All X, (((property F) /\ ((property G) /\ (object X))) => (((is_the X F) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ ((All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y)))) /\ (exemplifies_property G Y)))))))))) ### ConjTree 21
% 0.19/0.42 23. (Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y))))))) (All F, (All G, (All X, (((property F) /\ ((property G) /\ (object X))) => (((is_the X F) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ ((All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y)))) /\ (exemplifies_property G Y)))))))))) (property T_1) (-. (Ex U, ((object U) /\ (is_the U T_1)))) ### Exists 22
% 0.19/0.42 24. (-. ((property T_1) => ((Ex Y, ((object Y) /\ ((exemplifies_property T_1 Y) /\ (All Z, ((object Z) => ((exemplifies_property T_1 Z) => (Z = Y))))))) => (Ex U, ((object U) /\ (is_the U T_1)))))) (All F, (All G, (All X, (((property F) /\ ((property G) /\ (object X))) => (((is_the X F) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ ((All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y)))) /\ (exemplifies_property G Y)))))))))) ### ConjTree 23
% 0.19/0.42 25. (-. (All F, ((property F) => ((Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ (All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y))))))) => (Ex U, ((object U) /\ (is_the U F))))))) (All F, (All G, (All X, (((property F) /\ ((property G) /\ (object X))) => (((is_the X F) /\ (exemplifies_property G X)) <=> (Ex Y, ((object Y) /\ ((exemplifies_property F Y) /\ ((All Z, ((object Z) => ((exemplifies_property F Z) => (Z = Y)))) /\ (exemplifies_property G Y)))))))))) ### NotAllEx 24
% 0.19/0.42 % SZS output end Proof
% 0.19/0.42 (* END-PROOF *)
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